suppose that the bac of students who drink five beers varies from student to student according to a normal distribution with mean 0.07 and standard deviation of 0.01. show your work. a. the middle 99.7% of students who drink five beers have bac between what two numbers? b. what is the range for the 16% of lowest bacs? c. what percent of students have a bac above 0.09?

Answers

Answer 1

a. The middle 99.7% of students between 0.04 and 0.10.
b. The range for the 16% of lowest BACs is 0.06 or below.

c. 2.28% of students have a BAC above 0.09.

a. How to find range?

To find the range, use the properties of the normal distribution and the given mean (0.07) and standard deviation (0.01).

99.7% of the data lies within 3 standard deviations from the mean in a normal distribution.Calculate the lower bound: mean - 3 * standard deviation = 0.07 - 3 * 0.01 = 0.07 - 0.03 = 0.04Calculate the upper bound: mean + 3 * standard deviation = 0.07 + 3 * 0.01 = 0.07 + 0.03 = 0.10

The middle 99.7% of students between 0.04 and 0.10.

b. How to find range for 16% bacs?

To find the range use the z-score corresponding to the 16th percentile (z ≈ -1).

Calculate the BAC value corresponding to the z-score: BAC = mean + z * standard deviation = 0.07 + (-1) * 0.01 = 0.07 - 0.01 = 0.06

The range for the 16% of lowest BACs is 0.06 or below.

c. How to find percentage?

To find the percentage, find the z-score for 0.09 first.

Calculate the z-score: z = (BAC - mean) / standard deviation = (0.09 - 0.07) / 0.01 = 2Look up the area under the curve to the left of the z-score in a z-table (which is about 0.9772).Calculate the percentage of students above 0.09: 100% - 97.72% = 2.28%

Approximately 2.28% of students have a BAC above 0.09.

Learn more about range and percentage

brainly.com/question/24490227

#SPJ11


Related Questions

45,52,17,63,57,42,54,58 outlier

Answers

Answer: 31363022. or 17

Step-by-step explanation:

after running a classification model, we have the following confusion matrix: confusion matrix what is this model's overall accuracy ?

Answers

The overall classification accuracy of this model on the test set is 0.179

The overall classification accuracy of the model can be calculated by dividing the number of correctly classified instances (the sum of true positives and true negatives) by the total number of instances in the test set

Accuracy = (TP + TN) / (TP + TN + FP + FN)

where TP = True Positives, TN = True Negatives, FP = False Positives, and FN = False Negatives.

From the confusion matrix given

True Positives (TP) = 124

True Negatives (TN) = 116

False Positives (FP) = 77

False Negatives (FN) = 851

Plugging these values into the formula, we get

Accuracy = (124 + 116) / (124 + 116 + 77 + 851)

Accuracy = 0.179

Learn more about confusion matrix here

brainly.com/question/29216338

#SPJ4

The given question is incomplete, the complete question is:

The following classification confusion matrix shows the results of a model's classifications on a test set: Test Set Results Model Prediction FALSE TRUE FALSE 116 TRUE 77 124 851 (The rows refer to the model's classifications, and the columns to the actual results in the test set.) a. What is the overall classification accuracy of this model on the test set?

It is $150 to rent a room at local skating rink, and it is $5 extra per child for pizza, drink, and a party bag. Write the equation in slope intercept form for the situation above

A) x+y=1050
B) y=150
C) y=150x+5
D) y=5x+150

Answers

Answer:

Let's start with the fixed cost, which is the cost to rent the room: $150. This is the y-intercept of the equation. Now, for each child attending the party, there is an additional cost of $5. We can represent the number of children attending with the variable x. Therefore, the equation in slope-intercept form is: y = 5x + 150 So the correct answer is D) y = 5x + 150

Which of the following is a valid application of the distributive property?
A. 5 x 2 + 3 = 5 X (2 + 3)
B. 5 x 2 + 3 = 5 x (2) + 5 x (3)

B only
A only
Neither A nor B
Both A and B

Answers

Answer:

B  only

Step-by-step explanation:

The correct answer is B only.

The distributive property states that a multiplication of a number by a sum or difference can be rewritten as the sum or difference of the products of the number with each term in the sum or difference. In other words, a(b + c) = ab + ac and a(b - c) = ab - ac.

Option A, 5 x 2 + 3 = 5 X (2 + 3), does not use the distributive property correctly. It tries to distribute the 5 over the sum 2 + 3, which is not possible.

Option B, 5 x 2 + 3 = 5 x (2) + 5 x (3), correctly applies the distributive property by distributing the 5 over each term in the sum 2 + 3.

Therefore, the valid application of the distributive property is B only.

a part of a population chosen in such a way that every member had an equal chance of being selected.

Answers

This is called random sampling.

What is random sampling?

Random sampling is commonly used in research and statistical analysis, as it helps to reduce the potential for bias in the sample selection process. There are several techniques for conducting random sampling, such as simple random sampling, stratified random sampling, and cluster sampling, each with its own specific method of selection.

Random sampling is an important tool in statistical inference and research. By selecting a random sample from a population, researchers can obtain an estimate of the population parameters (such as the mean or proportion) with a known level of precision and confidence.

There are several techniques for conducting random sampling:

Simple random sampling: In this technique, each member of the population has an equal chance of being selected. This can be done by assigning each member of the population a unique number and using a random number generator to select the sample.

Stratified random sampling: In this technique, the population is divided into subgroups (strata) based on some characteristic (such as age or gender). A random sample is then selected from each stratum.

Cluster sampling: In this technique, the population is divided into clusters (such as neighborhoods or schools). A random sample of clusters is then selected, and all members within those clusters are included in the sample.

Random sampling has several advantages over non-random sampling methods, such as convenience sampling or purposive sampling. First, it helps to ensure that the sample is representative of the population, reducing the potential for bias in the sample selection process. Second, it allows for the calculation of sampling error, which is the degree of error that is inherent in any sample due to chance variation. Finally, random sampling allows for the use of inferential statistics, which enables researchers to make inferences about the b based on the sample data.

However, random sampling also has some limitations. It can be expensive and time-consuming to select a truly random sample from a large population. Additionally, it may be difficult to ensure that all members of the population are included in the sampling frame, which could result in some members being excluded from the sample. Finally, the sample size must be large enough to ensure a sufficient level of precision in the estimates of the b parameters.

To know more about random sampling visit:

https://brainly.com/question/24466382

#SPJ1

last month alex sold his bike for 50.00 and deposited 80 percent of the money into his savings account he made the tqo other deposits of 24 and 35 before he withdrew 2/3 of the total to buy a used skate board write the amounts of alex transmission in order as inergets

Answers

The amounts of Alex's transactions in order are $50.00, $40.00, $24.00, $35.00, $149.00, and $98.67.

The amounts of Alex's transactions can be listed in the following order:

The amount he received from selling his bike: $50.00

The amount he deposited into his savings account, which is 80% of $50.00: $40.00

The first deposit he made of $24.00

The second deposit he made of $35.00

The total amount he had in his account before withdrawing 2/3 of it: $149.00 (which is the sum of $50.00, $40.00, $24.00, and $35.00)

The amount he withdrew to buy the used skateboard, which is 2/3 of $149.00: $98.67

Find out more about savings accounts

at brainly.com/question/27466480

#SPJ4

a mosaic table top has triangular and rectangular peices for every 8 rectangular pieces there are 12 triangular pieces there are a total of 80 pieces how many of each shape are used

Answers

Let's use "r" to represent the number of rectangular pieces and "t" to represent the number of triangular pieces.

From the problem, we know that for every 8 rectangular pieces, there are 12 triangular pieces. This can be written as:

12/8 = 3/2

So for every 2/3 of a triangular piece, there is 1 rectangular piece.

We also know that there are a total of 80 pieces. So we can set up an equation:

r + t = 80

We can use the ratio of 2/3 to set up another equation:

r = (2/3)t

Now we can substitute the second equation into the first equation and solve for t:

(2/3)t + t = 80
(5/3)t = 80
t = (3/5) * 80
t = 48

So there are 48 triangular pieces. To find the number of rectangular pieces, we can use the second equation:

r = (2/3)t
r = (2/3) * 48
r = 32

So there are 32 rectangular pieces.

Therefore, there are 48 triangular pieces and 32 rectangular pieces used in the mosaic table top

The preimage shown above is dilated by a scale factor of 4 about the center (-2,-2). What is the coordinate location of the point C'.

Type your answer as an ordered pair, (x,y) with no spaces.

Answers

The coordinate location of point C' after the dilation is (-10, 2).

What is coordinate location?

To find the coordinate location of point C' after the dilation by a scale factor of 4 about the center (-2,-2), we can use the following formula:

(x', y') = (k * (x - h) + h, k * (y - k) + k)

where (x, y) are the coordinates of the original point, (h, k) are the coordinates of the center of dilation, k is the scale factor, and (x', y') are the coordinates of the corresponding point after dilation.

For point C, the coordinates are (x, y) = (-2, -1) and the center of dilation is (h, k) = (-2, -2) with a scale factor of k = 4.

Plugging in these values, we get:

(x', y') = (4 * (-2 - (-2)) - 2, 4 * (-1 - (-2)) - 2)

= (-10, 2)

Therefore, the coordinate location of point C' after the dilation is (-10, 2).

What is coordinate?

A coordinate is a set of numbers or values that indicate the position or location of a point or object in a given space or system. Coordinates are often used in mathematics, geometry, physics, and other fields to describe the location of objects or points in a two- or three-dimensional space. The most common type of coordinates are Cartesian coordinates, which are represented by an ordered pair of numbers (x,y) that describe the location of a point on a two-dimensional plane, or an ordered triplet of numbers (x,y,z) that describe the location of a point in a three-dimensional space.

To know more about coordinate, visit:

https://brainly.com/question/30951761

#SPJ1

Complete question is: The preimage shown above is dilated by a scale factor of 4 about the center (-2,-2). the coordinate location of the point C'after the dilation is (-10, 2).

Caleb's annual salary is $45,000 per year. His employer matches 75% of his 401k
contributions up to 10% of his annual salary. Caleb contributes $250 from each
biweekly paycheck to his 401k account. What is the combined total of his annual
contribution and his employer's contribution?

Answers

The combined total of his annual contribution and his employer's contribution is $13,000.

What is the Combined total?

The term "combined total" refers to the sum or aggregate of two or more individual quantities, values, or amounts. It represents the cumulative or total amount resulting from the combination or addition of multiple components.

According to the given information:

First, let's calculate Caleb's annual contribution to his 401k account.

Caleb contributes $250 from each biweekly paycheck, so his biweekly contribution is $250.

Since there are 26 biweekly pay periods in a year (52 weeks), his total biweekly contributions in a year would be 26 * $250 = $6,500.

Caleb's annual salary is $45,000 per year, and his employer matches 75% of his 401k contributions up to 10% of his annual salary. So, the maximum employer match would be 75% of 10% of $45,000, which is 0.75 * 0.10 * $45,000 = $3,375.

Since Caleb's annual contribution ($6,500) is less than the maximum employer match ($3,375), his employer will match his entire contribution.

Therefore, the combined total of Caleb's annual contribution and his employer's contribution would be $6,500 + $6,500 = $13,000.

To know more about the combined total visit:

https://brainly.com/question/27119511

#SPJ1

Which if the following graphs represents all values of x such that x > -3 and x < 2?

Answers

Step-by-step explanation:

The graph that represents all values of x such that x > -3 and x < 2 is the graph of a vertical line segment located between -3 and 2 on the x-axis, but excluding these two points. This can be represented graphically as:

|

|

|

---------x---------

|

|

|

-3 2

Here, the open circles indicate that the points -3 and 2 are not included in the range of values for x.

can someone help out with these 2 questions please?

Answers

The values x and y that make the quadrilaterals parallelograms are:

a. x = 2 and y = 41

b. x = 4 and y = 3

How to find the values x and y that make the quadrilaterals parallelograms?

a. Since opposite sides of parallelograms are equal in length. We can say:

2x + 7 = x + 9

2x - x = 9 - 7

x = 2

Also, two adjacent  angles of parallelograms adds up to 180 degrees. That is:

(2y - 5)° + (2y + 21)° = 180°

4y + 16 = 180

4y = 180 - 6

4y = 164

y = 164/4

y = 41

b. Since the diagonals divide each other equally. We can say:

x + 8 = 16 - x

x + x = 16 - 8

2x = 8

x = 8/2

x = 4

5y + 4 = 2y + 13

5y - 2y = 13 - 4

3y = 9

y = 9/3

y = 3

Learn more about parallelograms on:

https://brainly.com/question/970600

#SPJ1

what's the answer The area of a square is A = s², where s is the length of one side of the square.

What is the side length s for each square?



Drag the answer into the box to match each description.

The square with A = 225 in²

Answers

The side length of each square is √225 in = 15 inches so the option B is correct

What do you mean by term Square root ?

The square root of a number is a value that, when multiplied by itself, gives the original number. It is denoted by the symbol √. For example, the square root of 9 is 3 because 3 multiplied by 3 equals 9. The square root of 16 is 4 because 4 multiplied by 4 equals 16. The square root of a number is always a positive number, although it can be irrational (a non-repeating, non-terminating decimal) for some numbers.

The formula to find the length of one side of a square, s, when given the area, A, is:

s = √(A)

So, for the square with A = 225 in², the side length would be:

s = √(225) in

s = 15 inches

Therefore, the side length of the square with an area of 225 in² is 15 inches.

Learn more about Square root here

https://brainly.com/question/29775049

#SPJ1

The Area of a Rectangle is 75. The length is 3 times the
width. Find the Width.
04
06
0 5
08

Answers

Answer:

the width of the rectangle is 5.

Step-by-step explanation:

Let's assume that the width of the rectangle is x. Then, according to the problem statement, the length of the rectangle would be 3x.

The area of a rectangle is given by the formula:

Area = Length x Width

Substituting the values of length and width in the formula, we get:

75 = (3x) x (x)

Simplifying the right-hand side, we get:

75 = 3x^2

Dividing both sides by 3, we get:

25 = x^2

Taking the square root of both sides, we get:

x = ±5

Since the width cannot be negative, we take the positive value of x, which is 5.

Therefore, the width of the rectangle is 5

What is the size of angle a?

Answers

Answer is going to be 60, I’m not really sure but here you go

Answer:

60 degrees

Step-by-step explanation:

The total angles of a circle add up to 360 so to find a missing angle, subtract the figures already given from 60. The angles given total to (140+125+35) = 300. To find angle a, you subtract the 300 from 360. 360-300 = 60 degrees. Therefore, angle a is 60 degrees

Can I have some help with this math problem

Answers

The answer is A. 1/4.

Which statement is not true for the function notation of the volume of a cube, V(s) = s3?

Answers

Answer:

Step-by-step explanation:

The statement that is not true for the function notation of the volume of a cube, V(s) = s3, is not specified. Please provide the statement you are referring to.

please help
Given POQ = 0 rad, the length of the arc PQ is twice the radius OP and OR = 4cm, find
a) the value of 0
b) the area of the shaded region if the length of the arc PQ is twice the length of the arc RS​

Answers

As a result, the shaded region's area sector is **10.62 cm² cm.²

What is a sector?

A sector is a section of a circle in geometry that is bounded by two radii and an arc. It is a pie-shaped portion of a circle that touches the circle's center, has two straight edges (the two radius lines), and a curved edge created by the arc.

Arc Length = r is the formula for the arc length of a circle,

where is the radius of the circle and r is the radian measurement of the arc (or central angle).

The formula for arc length, L = r *, can be used to determine the value of zero. L is the length of the arc, r is the radius of the circle, and is the centre angle in radians. We can deduce from the facts provided that PQ equals 2 * OP.

Also obvious is that OR = 4 cm. We can claim that PQ = 2 * OR = 8cm because PQ is twice as long as OP. Now, we can calculate's value using the formula:

L = r * θ 8 = 4θ θ = 2

Consequently, = 2 radians.

We must know the length of arc RS in order to calculate the size of the shaded zone. PQ is twice RS, as we are aware. RS = PQ/2, which equals 4 cm. Now, we may apply the area of a formula.We may now apply the formula A = (1/2) * r² *, where A is the sector's area, r is the circle's radius, and is the centre angle in radians.

Sector PQR area equals (1/2) * OR2 * sector PQR area equals (1/2) * 16 * 2 sector PQR area equals (16)

Sector PSR area equals (1/2) * OR²2 * Sector PSR area equals (1/2) * 16 * π/3 Sector PSR area equals (8)/3

Sector PQR minus Sector PSR is equal to the area of the shaded region. Area of the shaded area is 16 - (8π)/3. Shaded area size: 10.62 cm²

To know more about sector visit:

brainly.com/question/12665895

#SPJ1

An outline of a city map is shown. The population of the city is 23,023 people. What is the population density of the city?

Answers

Answer:148.38

Step-by-step explanation:

Population Density=Population of country÷Area of country

Population of country=23,023

Area of country=(18*8)+(4*5)=164 m²

Population Density=23023÷164=148.38 people/m²

joy is giving ice cream cones to some children at a carnival. she has 8 chocolate ice cream cones, 10 vanilla ice cream cones, and 6 strawberry ice cream cones. if joy selects an ice cream cone randomly without looking, what is the probability that she will give a chocolate ice cream cone to the first child and then a vanilla ice cream cone to the second child?

Answers

The required probability that Joy will give a chocolate ice cream cone to the first child and then second child get a vanilla ice cream cone is equal to 3/16.

Number of chocolate ice cream cones = 8

Number of vanilla ice cream cones = 10

Number of strawberry ice cream cones = 6

Total number of ice cream cones = 8+10+6

                                                        = 24 cones,

The probability of Joy giving a chocolate ice cream cone to the first child is 8 cones,

P(chocolate) = 8/(8+10+6) = 8/24 = 1/3

Now,

Assuming that Joy gave away a chocolate ice cream cone to the first child,

There are 8-1=7 chocolate ice cream cones left.

Similarly, there are 10-1=9 vanilla ice cream cones left.

Probability of Joy giving a vanilla ice cream cone to the second child,

given that she gave a chocolate ice cream cone to the first child, is,

P(vanilla | chocolate)

= 9/(7+9)

= 9/16

Probability of Joy giving a chocolate ice cream cone to the first child and a vanilla ice cream cone to the second child is,

P(chocolate and vanilla)

= P(chocolate) × P(vanilla | chocolate)

= (1/3) × (9/16)

= 3/16

Therefore, the probability that Joy will give a chocolate ice cream cone to the first child and then a vanilla ice cream cone to the second child is 3/16.

Learn more about probability here

brainly.com/question/29800191

#SPJ4

An event where two or more things happen at the same time is called ______

A. Dependent event

B. Compound event

C. Independent event

D. Organized list

Answers

The event where two or more things happen at the same time is called a "compound event."  the correct answer is B.

What is probability?

Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, where 0 means the event is impossible and 1 means the event is certain to happen.

A compound event refers to a situation where two or more events occur at the same time. In other words, it is an event that consists of multiple outcomes happening simultaneously.

For example, if you flip a coin and roll a dice at the same time, the resulting event would be a compound event because it involves the outcomes of both actions occurring simultaneously. It is important to distinguish between compound events and independent or dependent events, as they have different probabilities and methods of calculation. Compound events are often used in probability theory and statistics to analyze and predict the likelihood of multiple outcomes occurring at the same time.

The event where two or more things happen at the same time is called a "compound event." Therefore, the correct answer is B.

To learn more about probability from the given link:

https://brainly.com/question/30034780

#SPJ1

David is driving on a road with a speed limit of 60 mph. It is possible for him to get a ticket if she goes more than 7mph over the speed limit. Is it possible to David to get a ticket while she is on cruise control.

This is a inequality problem.

Answers

It is possible for her to exceed the speed limit and get a ticket if she is not paying attention or if the road conditions change.

What is speed?

she should always be aware of her speed and adjust it as necessary to stay within the legal limit.

Yes, this is an inequality problem. We can use an inequality to represent the situation:

David's speed ≤ Speed limit + 7 mph

Let's substitute the given values:

David's speed ≤ 60 mph + 7 mph

David's speed ≤ 67 mph

If David's speed is less than or equal to 67 mph, then she will not get a ticket, because she is within the allowable limit of going 7 mph over the speed limit. However, if David's speed is greater than 67 mph, then she will be going too fast and is at risk of getting a ticket.

Since David is driving on cruise control, it is possible for her to exceed the speed limit and get a ticket if she is not paying attention or if the road conditions change. Therefore, she should always be aware of her speed and adjust it as necessary to stay within the legal limit.

To know more about inequality visit:

https://brainly.com/question/30228778

#SPJ1

Graph the equation below by plotting the
y-intercept and a second point on the
line. When you click Done, your line will
appear.
1=1/√x-2
Click on the point(s). To change your selection, drag the
marker to another point. When you've finished, click Done.
-8-6-4
Done
N
8
co
F
2
-2
$
-6-
-8-
2
4 6 8
Edit

Answers

 so it is 2o bevuse

hi

the waiting time at a drive-through window has an exponential distribution with a mean of 6 minutes. what is the probability that the waiting time is greater than 5 minutes? enter your answer as a percentage accurate to two decimal places. for example, a probability of 0.4567 is 45.67%, so it should be entered as 45.67.

Answers

The probability that the waiting time is greater than 5 minutes is 0.3012

Given that the waiting time at a drive-through window has an exponential distribution with a mean of 6 minutes.

The probability density function of an exponential distribution is given by

f(x) = (1/μ) × e^(-x/μ)

where μ is the mean of the distribution.

Therefore, the probability that the waiting time is greater than 5 minutes is

P(X > 5) = ∫[5, ∞] f(x) dx

= ∫[5, ∞] (1/6) × e^(-x/6) dx

= [-e^(-x/6)]_[5, ∞]

= e^(-5/6)

Using a calculator, e^(-5/6) is approximately 0.3012.

Learn more about probability here

brainly.com/question/17136561

#SPJ4

Suki purchased $9,600 worth of stock and paid her broker a 2.5% broker
fee. She had an immediate need for cash and was forced to sell the stock
when it was worth $8,000. She used a discount broker who charged
$33.97 per trade transaction.
Compute Suki's net loss(-) after the broker fees were taken out.

Answers

The net loss is $1873.97.

What is the selling price?

The selling price formula is Selling Price = Cost Price + Profit Margin. Cost price is the price a retailer paid for the product. The profit margin is a percentage of the cost price.

Here, we have

Given: Suki purchased $9,600 worth of stock and paid her broker a 2.5% broker fee. She had an immediate need for cash and was forced to sell the stock when it was worth $8,000. She used a discount broker who charged $33.97 per trade transaction.

Purchase price: $9,600

Fee purchase:  2.5%

Selling price: $8,000

Fee scale: $33.97

The broker fee is the product of the broker fee rate of  2.5% and the purchase price:

Broker fee purchase = 2.5%× 9,600

= 240

The total purchase cost is the sum of the purchase price and the broker fee of the purchase:

Total purchase cost Purchase price =  Broker fee purchase

= 9600 + 240

= 9840

The total selling cost is the selling price decreased by the broker fee of the sale (flat rate):

Total selling cost = Selling price - Broker fee sale

= 8,000 - 33.97

= 7966.03

The net loss is then the difference between the total purchase cost and the total selling cost:

Net loss = Total purchase cost - Total selling cost

= 9840 - 7966.03

= 1873.97

Hence, the net loss is $1873.97.

To learn more about the selling price from the given link

https://brainly.com/question/31131809

#SPJ1

a surveyor determines that the angle of elevation to the top of a building from a point on the ground is . he then moves back 51.3 feet and determines that the angle of elevation is . what is the height of the building?

Answers

The height of the building is approximately 62.4369 feet. The solution involves using trigonometry and solving for the opposite side of the triangle using the tangent function.

Let h be the height of the building, and x be the distance between the first point and the base of the building. Then we have:

tan(26.8°) = h/x ----(1)

tan(19.5°) = h/(x + 43.9) ----(2)

From equation (1), we have x = h/tan(26.8°)

Substituting this value of x in equation (2) and solving for h, we get:

h = (43.9 tan(19.5°) tan(26.8°))/(tan(26.8°) - tan(19.5°))

Plugging in the values, we get:

h ≈ 62.4369 feet

Therefore, the height of the building is approximately 62.4369 feet.

Learn more about trigonometry here: brainly.com/question/29002217

#SPJ1

The volume of a rectangular prism is 768 ft3. What is the volume of the same shape if the width is changed by a scale factor of 1/3?

Answers

The volume of a rectangular prism is given by the formula V = lwh, where l, w, and h are the length, width, and height of the prism, respectively. If the width is changed by a scale factor of 1/3, then the new width is (1/3)w. The length and height remain the same. Therefore, the new volume of the rectangular prism is:

V' = l(1/3w)h

Multiplying both sides by 3 to simplify the expression, we get:

3V' = lw(3h)

Since the original volume of the rectangular prism is 768 ft3, we have:

V = lwh = 768

Multiplying both sides by 3 to simplify the expression, we get:

3V = lw(3h)

Substituting 3V for lw(3h), we get:

3V' = 3V(1/3w) = Vw

Therefore, the new volume of the rectangular prism is:

V' = Vw = (768 ft3)(1/3) = 256 ft3

So, the volume of the same shape if the width is changed by a scale factor of 1/3 is 256 ft3.

Question
What is the measure of angle LEP?
Angle L E P. Ray E W is between rays E L and E P. Angle L E W is labeled 51 degrees. Angle P E W is labeled 27 degrees.

Answers

The measure of angle LEP can be found using the angle addition postulate, which states that the measure of an angle formed by two adjacent angles is equal to the sum of their measures. Given that angle, LEW is 51 degrees and angle PEW is 27 degrees, we can find the measure of angle LEP by adding these two angles. Thus, the angle LEP is 78 degrees (51 + 27).

         L

        / \

       /   \

      /     \

     E-------P

        W

In mathematics, an angle is a geometric figure formed by two rays sharing a common endpoint, known as the vertex of the angle. There are two main ways to label angles: by giving the angle a name, usually a lowercase letter or a Greek letter, or by using the three letters that define the angle, with the middle letter being where the angle is located. Angles are typically measured in degrees using a protractor and are defined by their measure, which is not dependent upon the lengths of the sides of the angle. Coterminal angles share terminal sides but differ in size by an integer multiple of a turn.

Find out more about the angle

brainly.com/question/30474184

#SPJ4

In the circle below, suppose m VUX = 228° and mZUVW=121°. Find the following.
U
X
(a) m/VUX = °
(b) m LUXW =
0.

Answers

Assume that m arc VUX = 228° and m ∠UVW = 121° in the circle below.

m∠VUX = 66° and m m∠UXW = 59° respectively.

1) The given information is;

The angle of arc m∠VUX = 228°, the measured angle of ∠UVW = 121°

Given that m∠VUX = 228°, therefore, arc ∠XWV = 360 - 228 = 132°

Therefore, the angle subtended by arc ∠XWV at the centre = 88°

The angle subtended by arc ∠XWV at the circumference = m∠VUX

∴ m∠VUX = 132°/2 = 66° (Angle subtended at the center = 2×angle subtended at the circumference)

m∠VUX = 66°

2) Similarly, m∠XWV is subtended by arc m∠VUX, therefore, m∠XWV = (arc m VUX)/2 = 228°/2 = 114°

A quadrilateral's angles add up to 360°.

Therefore;

m∠VUX + m∠XWV + m∠UVW + m∠UXW = 360° (The sum of angles in a quadrilateral XWVU)

m∠UXW = 360° - (m∠VUX + m∠XWV + m∠UVW)

m∠UXW = 360° - (66 + 114 + 121)

m∠UXW = 360° - 301

m∠UXW = 59°.

To learn more about the arc, refer:-

https://brainly.com/question/18741430

#SPJ1

in classical variables sampling, the evidence supports the conclusion that the account is not materially misstated if both the upper and lower limits are within the bounds of

Answers

The evidence supports the conclusion that the account is not materially misstated if both the upper and lower limits are within the bounds of tolerable misstatement.

Pablo is mailing packages. Each small package costs him $2.80 to send. Each large package costs him $3.80. How much will it cost him to send 5 small packages and 4 large packages?

Answers

Step-by-step explanation & Answer

———-———-———-———-———-———-———-———-———-———-———-——

Page 1

So first we need to multiply the small packages by 5 because he needs to said 5 of them which is:

5 x 2.80 = 14 Which is our answer for the first part of the question.

Next we need to multiply the big/large packages by 4 because he is going to send 4 of them.

4 x 3.80 = 15.2 / ( money terms ) = 15.20

[tex]\left \{ {{small= 14} \atop {big=15.20}} \right.[/tex]

———-———-———-———-———-———-———-———-———-———-———-——

Page 2

We can them add them up or we can leave it at this but just in case lets add them up:

15.20 + 14 = 29.20 Which is the answer.

[tex]\left[\begin{array}{ccc}An&sw&r\\&=&\\22&.&9\end{array}\right][/tex]

Other Questions
Improved access to meat and dairy products is especially important in countries where malnutrition is an issue because they provide more:Question 33 options:potent sources of dietary fiber.refined carbohydrates.vitamins and minerals.concentrated sources of protein. Which population or economic trend most directly led to the example of architecture shown in the photo? O the development of suburbs increased migration to urban areas Omigration due to the Homestead Act economic opportunity in rural areas PLEASE HELP Write a function f(l) that determines the number of triangles in any given level of the pyramid. Please lmk asap, Im so lost. a prescription reads regular insulin, 8 units/hr by continuous intravenous (iv) infusion. the pharmacy prepares the medication and then delivers an iv bag labeled 100 units of regular insulin in 100 ml normal saline (ns). an infusion pump must be used to administer the medication. the nurse sets the infusion pump at how many milliliters (ml) per hour to deliver 8 units/hr? fill in the blank. a sample of nitrogen gas expands in volume from 1.4 to 5.3 l at constant temperature. calculate the work done in joules if the gas expands an 1,810 w toaster, a 1,440 w electric frying pan, and a 60 w lamp are plugged into the same outlet in a 15 a, 120 v circuit. (the three devices are in parallel when plugged into the same socket.) (a) what current (in a) is drawn by each device? In general, a family can be defined as a group of __________.A.individuals who live together and care for each otherB.individuals who share one car or vehicleC.individuals who enjoy each other's company in a systems current configuration, a rotating rod is subjected to a steady bending moment. in redesigning the system, the rod is made stationary and and alternating bending moment of the same magnitude is applied, what is the impact on the endurance limit A seagull is 23 meters above the surface of the ocean. What is its elevation? What caused the events that took place in "The Crucible" to happen? (This is not a summary of the book, this is explaining how mass hysteria or lying or religion or whatever caused these events to happen.) What is the largest zone in the ocean?Group of answer choicesbenthic zoneneritic zoneoceanic zonephotic zone Directions: Participate in a workout of your choice. Evaluate your activity by answering the questions below. what is the ph of a buffer solution that is 0.211 m in hypochlorous acid (hclo) and 0.111 m in sodium hypochlorite? the ka of hypochlorous acid is 3.8 Please help quickkkkkkk The volume, V, in hundreds of shares, of a company's stock, after being listed on the stockexchange for t weeks, can be modelled by the relation V = 250t -5t . Use the discriminant todetermine if the volume will ever reacha) 275 000 shares in a week; V = 2750b) 400 000 shares in a week use the fundamental identities to find the value of trigonometric functionfind sin theta if cos theta =2/3 and theta is in quad iv The radius of container M is 3 inches and the height is 9.5 inches. A cook hasseveral boxes of sugar that are each the same size and volume. The cook empties 1box of sugar into container M. He then empties of another box of sugar intocontainer M to completely fill it. What is the approximate volume, in cubic Inches, of1 box of sugar? lincoln is a network security specialist. he is updating the password policy for his company's computing infrastructure. his primary method of improving password policy involves lowering the chance that an attacker can compromise and use the password before it expires. what does he do? please help with these 3 Canadian geography questions! The topic is to answer if the event that happened happened for the better or the worse and why.For the better or worse?1) Glaciers melting and depositing sediment (weathered and eroded) in the Great Lakes Saint Lawrence LowlandsFor the better or worse?Heavy glacial erosion in the Canadian Shield that pushed surface materials south, leaving only a surface of bedrock.For the better or worse?Heavy rainfalls on Vancouver Island wash soil nutrients deep into the soil away from plant roots.