PLEASE HELP ASAP ILL GIVE BRAINLY!!!

(a) Write the quadratic regression equation that models the data. Let x = time in seconds

and let y = height in feet. Round all numbers to the nearest hundredth. (b) Use the equation to estimate the height of rocket after Show your work. 3 seconds

PLEASE HELP ASAP ILL GIVE BRAINLY!!!(a) Write The Quadratic Regression Equation That Models The Data.

Answers

Answer 1

(a) A quadratic equation is in the form: y = -12.87x² + 42.22x + 1.18

(b) The height of the rocket after 3 seconds would be 12.01 feet.

What is a quadratic equation?

A quadratic equation is a polynomial equation with a maximum degree of two. Any equation that can be written in the standard form where x is an unknown value, a, b, and c are known quantities, and a 0 is a quadratic equation.

Here, we have

Given: A rocket is launched upwards from the ground.

(a) A quadratic equation is in the form:

y = -12.87x² + 42.22x + 1.18

(b) When x = 3 seconds

y = -12.87(3)² + 42.22(3) + 1.18

y = 12.01 feet

Hence, the height of the rocket after 3 seconds is 12.01 feet.

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Related Questions

The _______________ is a collection of people and companies where shares in the various companies are bought, sold, and traded.

A. Life Insurance Company
B. Savings Institution
C. Stock Market
D. Bonds

Answers

Answer:

C) Stock Market.

Brainly wants me to put at least 20 characters and since I only provided the answer choice and was too lazy to do an explanation I am putting this here.

Answer:

C) Stock Market.

Step-by-step explanation:

The term stock market refers to several exchanges in which shares of publicly held companies are bought and sold.

Find the probability of exactly 4 successes in 7 trials of a binomial experiment in which the probability of success is 55%. P = [?]% Round to the nearest tenth of a percent. Enter​

Answers

the probability of exactly 4 successes in 7 trials of a binomial experiment in which the probability of success is 55% is 0.29 = 29%

A binomial experiment is an experiment that has the following four properties:

The experiment consists of n repeated trials

Each trial has only two possible outcomes

The probability of success, denoted p, is the same for each trial

Each trial is independent

the probability of exactly 4 successes in 7 trials of a binomial experiment in which the probability of success is 55%

We know that the binomial distribution

[tex]^nc_rp^rq^{n-r[/tex]

Where n is the number of trails

p is the probability of success in each trial

q =1-p which is the probability of failure

Here r=4

n=7

p= 55 % =0.55

then by the formula

[tex]p(4)=^7c_4(o.55)^4(0.45)^3\\\\p(4)=35*0.091*0.091\\p(4)=0.29[/tex]

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What is the probability of getting a even number from the bag

Answers

Answer: The actual answer is 7/12, but the closest match is (A) 1/2.

One plumbing job requires 45 meters of PVC pipe, and a second job requires 30 meters. The pipe comes in 6-meter lengths only. How many sections should the plumber buy? How much pipe will be left over, assuming that there are no errors?​

Answers

a) The plumber should buy 13 sections of 6-meter lengths of PVC pipes.

b) Assuming that there are no errors, the left-over pipe after satisfying Jobs A and B should be 3 meters.

How the quantities are determined:

We can use mathematical operations of addition, division, multiplication, and subtraction to determine the two quantities above.

In the first place, the total quantity of PVC pipes required is 75 meters.

This sum is divided by 6 to obtain the sections required, which is approximated to the nearest whole number.

Finally, 75 meters are subtracted from the total quantity bought.

PVC pipes required by Job A = 45 meters

PVC pipes required by Job B = 30 meters

The total quantity of PVC pipes required = 75 meters

The length of each PVC pipe = 6 meters

The number of pipes to buy = 13 sections (75 ÷ 6)

13 sections of pipes = 78 (6 x 13)

Leftover PVC pipes = 3 meters (78 - 75)

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The center of the circle is shown.
9
What is the exact area of the circle?
324n
18n
9r
81n

Answers

Answer:

The area is (9^2)π = 81π.

Question 7 of 10
In the triangle below, b=_ If necessary, round your
answer to two decimal places.
A
33.7°
C
Answer here
8
26.4
24
SUBMIT

Answers

the length of the missing side is approximately 4.73 units. Rounded to two decimal places, the answer is 4.73.

How to solve the problem?

To solve this problem, we can use the Law of Sines, which states that the ratio of the length of a side of a triangle to the sine of the angle opposite that side is the same for all sides and angles in the triangle.

Let's label the missing side as b, and use sin(A) = opposite/hypotenuse to find the length of the side opposite angle A:

sin(A) = opposite/hypotenuse

sin(33.7°) = b/8

b = 8 × sin(33.7°)

b ≈ 4.726

Therefore, the length of the missing side is approximately 4.73 units. Rounded to two decimal places, the answer is 4.73.

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Bob runs an auto repair shop. Over 6 months, he finds that out of 700 cars that are brought in, 144 require more than one day to repair. Based on this information, what is the probability that the next car brought to his shop can be fixed in a day? Responses 20.6% 20.6% 55.6% 55.6% 79.4% 79.4% 82.9%

Answers

The answer to the given question about probability of Bob's shop is option 7) 79.4%.

Out of 700 cars, 144 require more than one day to repair. So the number of cars that can be fixed in one day is

700 - 144 = 556.

The probability that the next car brought to the shop can be fixed in a day is the ratio of the number of cars that can be fixed in a day to the total number of cars:

probability = 556/700

= 0.794 or 79.4%

Therefore, the correct answer is option 7) 79.4%.

Probability is a branch of mathematics that deals with the study of random events or phenomena. It is used to quantify the likelihood of an event occurring, and it is expressed as a number between 0 and 1, with 0 indicating that the event is impossible and 1 indicating that the event is certain. Probability theory is widely used in various fields, such as statistics, physics, economics, and finance, to make predictions and decisions based on uncertain or incomplete information. It provides a powerful tool for analyzing and understanding uncertainty, risk, and randomness in real-world situations, and it has numerous practical applications in diverse areas of research and industry

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In 2002 you could buy a Broadway show ticket for $40. Use the CPI chart below to find the cost of Broadway show in 2014 based on inflation

Answers

The cost of a Broadway show ticket in 2014, based on inflation, would be approximately $52.59.

What is inflation?

Inflatiοn, in general, is the prοcess thrοugh which mοney lοses value οver time. As a result, 100 dοllars suddenly have less purchasing pοwer than they had previοusly. This indicates that the awards will increase tο maintain a steady purchasing pοwer.

Tο find the cοst οf a Brοadway shοw ticket in 2014, we need tο adjust the price frοm 2002 using the Cοnsumer Price Index (CPI) fοr each year. The CPI measures the changes in the cοst οf gοοds and services οver time due tο inflatiοn.

Here is the CPI data for the relevant years:

2002 CPI: 179.9

2014 CPI: 236.7

To adjust the 2002 price of $40 to its equivalent in 2014 dollars, we can use the following formula:

Adjusted Price in 2014 Dollars = Price in 2002 Dollars x (CPI in 2014 / CPI in 2002)

Plugging in the numbers, we get:

Adjusted Price in 2014 Dollars = $40 x (236.7 / 179.9) = $52.59

Therefore, the cost of a Broadway show ticket in 2014, based on inflation, would be approximately $52.59.

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Complete question:

In 2002 you could buy a Broadway show ticket for $40. Use the CPI chart below to find the cost of Broadway show in 2014 based on inflation.

Burt ran the length of the trail in his town’s park. There are 9 parts to the trail, and each part is the same length. Burt ran a total of 1.8 kilometers.

Answers

There are 9 parts to the trail, and each part is the same length.  and hence each part of the trail is 0.2 kilometers long.

What is perimeter of rectangle?

The following equation may be used to determine a rectangle's perimeter:

Perimeter is equal to 2 x (length + breadth).

where "length" denotes the rectangle's length and "width" denotes the rectangle's width. In order to account for both sides of the rectangle, we add the length and breadth together and multiply the result by 2, which is the distance around the outside of the rectangle.

The distance ran by Brurt is:

1.8 km ÷ 9 = 0.2 km

Hence, each part of the trail is 0.2 kilometers long.

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PLEASE HELPPPP GIVNG BRAINLIESt
MNOP is a trapezium. If MN//OP and A is the midpoint of NO prove : Area of triangle MAP = 1/2area of trapezium MNOP​

Answers

To prove: Area of triangle MAP = 1/2 area of trapezium MNOP

Given: MN//OP and A is the midpoint of NO

Proof:

Let h be the height of trapezium MNOP.

The area of trapezium MNOP is given by:

Area of trapezium MNOP = (1/2) × (MN + OP) × h

Since MN//OP, we have MN = OP.

Therefore, Area of trapezium MNOP = (1/2) × 2MN × h = MN × h

Now, consider triangle MAP.

The base of triangle MAP is MA, which is half of NO.

Therefore, the base of triangle MAP is (1/2) × NO.

The height of triangle MAP is h, which is the same as the height of trapezium MNOP.

Therefore, the area of triangle MAP is given by:

Area of triangle MAP = (1/2) × (base) × (height) = (1/2) × (1/2NO) × h

Substituting NO = 2OA, we get:

Area of triangle MAP = (1/2) × (1/2 × 2OA) × h = (1/2) × OA × h

Since A is the midpoint of NO, we have OA = 1/2NO.

Therefore, Area of triangle MAP = (1/2) × (1/2NO) × h = (1/2) × (base of trapezium MNOP) × h

Hence, Area of triangle MAP = 1/2 Area of trapezium MNOP.

Therefore, the given statement is proved.

Answer: Given that MNOP is a trapezium with MN parallel to OP and A is the midpoint of NO.

To prove that the area of triangle MAP is half the area of trapezium MNOP, we need to use the following theorem:

Theorem: If a line segment joins the midpoint of one side of a triangle to a vertex opposite to that side, then the segment divides the triangle into two equal areas.

Proof:

Since A is the midpoint of NO, we can draw a line segment AP from vertex P to point A on NO as shown in the figure below:

css

Copy code

      M _______N

       |\      |

       |  \    |

       |    \  |

       |      \|

      O--------P

            A

We can see that triangle MAP is formed by the line segment AP and side MP of the trapezium.

Also, we can see that triangle MAN is congruent to triangle NOP because they are both right triangles with corresponding sides parallel. Therefore, they have the same area.

Since MNOP is a trapezium, the area of trapezium is given by:

Area of trapezium MNOP = (1/2)(MN+OP) × height

Since MN is parallel to OP, the height of the trapezium is the same as the height of triangle MAN and NOP.

Therefore, the area of trapezium MNOP can be written as:

Area of trapezium MNOP = (1/2)(MN+OP) × height

= (1/2)(MA+AP+OP) × height

= (1/2)(MA+MP) × height (Since AP = NO/2 = height)

So, we have proved that:

Area of trapezium MNOP = (1/2)(MA+MP) × height

Using the theorem, we know that AP divides triangle MAP into two equal areas. Therefore,

Area of triangle MAP = (1/2) × Area of triangle MAP

Substituting the above in the expression for the area of trapezium, we get:

Area of trapezium MNOP = Area of triangle MAP + (1/2) × Area of triangle MAP

= (3/2) × Area of triangle MAP

Therefore, we have:

Area of triangle MAP = (1/2) × Area of trapezium MNOP

Thus, we have proved that the area of triangle MAP is half the area of trapezium MNOP.

Step-by-step explanation:

Solve for ∠A
. Round your answer to the nearest tenth.



∠A
= degrees

(60 points)

Answers

Answer:

∠A = 48.2

Step-by-step explanation:

Cos^-1(6/9

Use the Cosine with the negative one because you are finding an angle. Then, because Cosine is adjacent/hypotenuse, 6 would be your adjacent side length to theta and 9 would be the hypotenuse as it is across from the right angle.

I need help with this please

Answers

Answer: 384 cm cubed

Step-by-step explanation: The first thing you will do is 48 square centimeters times 8 cm. Since 48 is squared you have that 2 right above it. Your 8 technically has a 1 above it. So add the 2 and the 1, and you will get cubed. (AKA 3)

Calculate the area of the shapes below

Answers

the area of the shape shown in the diagram is 91 m².

What is area?

Area is the space bounded by a plane shape.

To calculate the area of the shape, we use the formula below

Note: Area of the shape = Area of the rectangle+ Area of the triangle

Formula:

A = LW+Lh/2.......................... Equation

Where:

A = Area of the shapeL = Length of the rectangle = Base of the triangleh = Height of the triangleW = Width of the rectangle

From the question,

Given:

L = 13 mW = 9-4 = 5 mh = 4 m

Substitute these values into equation 1

A = (13×5)+(13×4/2)A = 65+26A = 91 m²

Hence, the area is 91 m².

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A scientist was in a submarine, 52.3 feet below sea level, studying ocean life. Over the next ten minutes, she went down 21.5 feet. How many feet was she now below sea level?

Answers

After descending [tex]21.5[/tex] feet, the scientist's new position in the submarine would be  [tex]30.8[/tex] feet below sea level.

What is the sea level?

The scientist was initially in a submarine, located 52.3 feet below sea level. This means that her position was  [tex]52.3[/tex]feet lower than the surface of the sea.

Over the next ten minutes, the scientist descended further into the ocean by [tex]21.5[/tex] feet. This means that she traveled down an additional [tex]21.5[/tex]feet from her initial position.

To calculate her new position below sea level, we can subtract the distance she traveled downward (21.5 feet) from her initial position (52.3 feet below sea level).

[tex]52.3 feet - 21.5 feet = 30.8 feet[/tex]

Therefore, after descending 21.5 feet, the scientist's new position in the submarine would be 30.8 feet below sea level.

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On 36 acres of land , there are a total of 2808 trees. If the trees are sread out evenly , how many trees are on each acre of land ?

Answers

There are approximately 78 trees on each acre of land when the trees are spread out evenly.

To find the number of trees on each acre of land mathematically, we can use the formula for average or mean.

The average number of trees per acre can be found by dividing the total number of trees by the total number of acres. In this case, we have 2808 trees and 36 acres:

Average number of trees per acre = Total number of trees / Total number of acres

Average number of trees per acre = 2808 / 36

Average number of trees per acre = 78

Therefore, there are approximately 78 trees on each acre of land when the trees are spread out evenly.

This means that if the land is divided into 36 equal sections, each section will have approximately 78 trees.

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In ΔMNO, m ∠ � = ( 4 � − 13 ) ∘ m∠M=(4x−13) ∘ , m ∠ � = ( 2 � − 13 ) ∘ m∠N=(2x−13) ∘ , and m ∠ � = ( 5 � + 19 ) ∘ m∠O=(5x+19) ∘ . Find m ∠ � . m∠N.

Answers

The value of m∠N is 21° ,the value of m∠M is 55° and the value m∠O is 106°.



To find the value of x, we can use the fact that the sum of the angles in a triangle is 180 degrees. Therefore:

m∠M + m∠N + m∠O = 180

Substituting the given angle measures, we get:

(4x-13) + (2x-13) + (5x+19) = 180

Simplifying the equation, we get:

11x - 7 = 180

11x = 187

x = 17

Now that we know the value of x, we can find the measure of each angle. Substituting x = 17, we get:

m∠M = (4x-13) = (417-13) = 59 degrees

m∠N = (2x-13) = (217-13) = 21 degrees

m∠O = (5x+19) = (5*17+19) = 106 degrees

Therefore, the measure of ∠MNO is:

m∠N = 21 degrees

Note: The question also asks for the measure of ∠P, but there is no information given about ∠P in the problem.

In AMNO, m angle M = (4x - 13) deg m angle N = (2x - 13) deg and m angle O = (5x + 19) deg Find m/N.

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2. Using the link on the activity page, cut out each net. Fold and tape each net into a
solid. Your solids do not need to be perfect. (9 points: 3 points for
three-dimensional
each solid)

Answers

To fold and tape a net into a solid shape, cut out the net, fold it along the lines, tape the edges together, and flatten the edges

Instructions for Folding and Taping a Net into a Solid Shape

The net cannot be fold and tape as it is given as a picture, however the general steps to fold and tape a net into a solid shape:

Choose a netCut out the net: Cut out the net along the lines so that you have a flat, two-dimensional shape.Fold along the lines: Fold the net along the lines indicated on the paper. Tape the edges: Use small pieces of clear tape to connect the edges of the net together, forming a solid shape.Flatten the edges: After taping, you may notice that some edges of the solid shape are not lying flat.

When the above stapes are followed, some of the nets that can be gotten from the given shape are triangular pyramids and triangles

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Which equation of a circle has the center, C, and radius, r, as shown in the graph?

Answers

The equation of a circle given by the graph is (x-3)²+(y+2)²=29,

hence option b is correct.

A circle is a closed curve that extends outward from a set point known as the center, with each point on the curve being equally spaced from the center. A circle with an (h, k) center and a radius of r has the equation:

(x-h)² + (y-k)²= r²

This is the equation's standard form. Hence, we can quickly determine the equation of a circle if we know its radius and center coordinates.

We know that the equation of the circle is -

[tex](x-h)^2+(y-k)^2=r^2[/tex]

where (h,k) is the center of the circle and r is the radius,

given that,

center of the circle is = (3,-2)

and the radius is=√29

Hence the equation of a circle is

[tex](x-3)^2+(y+2)^2=(\sqrt29)^2\\\\(x-3)^2+(y+2)^2=29[/tex]

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(5, 5, 6, 9, 9, 11, 13}
This set has two_____
-medians
-means
-modes

Answers

Answer:

modes

Step-by-step explanation:

The only one of the three (median, mode, mean) that there can be more than one for a set is the mode, and in fact it has two modes: 5 and 9.

Answer: modes

[tex]A= \left[\begin{array}{ccc}2&-1&3\\1&-3&-1\end{array}\right] B= \left[\begin{array}{ccc}-2&1&3\\-1&-2&-2\end{array}\right] find 3A-2B[/tex]

Answers

According the given question 3A - 2B matrix is equal to:

[tex]\left[\begin{array}{ccc}10 & -5 & 3 &5 & -5 & 1\end{array}\right][/tex]

What are Matrix ?

A matrix is a rectangular array οf numerical values, symbοls, οr verbal expressiοns that are οrganised in rοws and cοlumns. In many disciplines, such as cοmputer science, engineering, physics, and mathematics, it is used tο represent data.

Calculating 3A and 2B first, then deducting 2B frοm 3A, is required tο find 3A - 2B.

Calculating 3A:

[tex]3A = 3 * \left[\begin{array}{ccc}2 & -1 & 3\1 & 1 & -3 & -1\end{array}\right]= \left[\begin{array}{ccc}6 & -3 & 9\3 & 3 & -9 & -3\end{array}\right][/tex]

Calculating 2B:

[tex]2B = 2 * \left[\begin{array}{ccc}-2 & 1 & 3 & -1 & -2 & -2 \end{array}\right]= \left[\begin{array}{ccc}-4 & 2 & 6 & -2 & -4 & -4\end{array}\right][/tex]

Nοw, we can find 3A - 2B by subtracting 2B frοm 3A:

[tex]3A - 2B = \left[\begin{array}{ccc}6 & -3 & 9 &3& -9 & -3\end{array}\right] - \left[\begin{array}{ccc}-4 & 2 & 6 &-2 & -4 & -4\end{array}\right]= \left[\begin{array}{ccc}10 & -5 & 3 &5 & -5 & 1\end{array}\right][/tex]

Therefore, 3A - 2B is equal to:

[tex]\left[\begin{array}{ccc}10 & -5 & 3 &5 & -5 & 1\end{array}\right][/tex]

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Assume the random variable x is normally distributed with mean u=89 and standard deviation o=4. Find the indicated probability. ​P(x<8​7)

Answers

The random variable x is normally distributed with mean u=89 and standard deviation o=4. The indicated probability, ​P(x<8​7)= 0.3085.

Describe Standard Deviation?

In statistics, standard deviation is a measure of the amount of variation or dispersion in a set of data. It is a commonly used measure of the spread of a distribution and is calculated as the square root of the variance.

A higher standard deviation indicates that the data points are more spread out from the mean, while a lower standard deviation indicates that the data points are more tightly clustered around the mean.

Standard deviation is an important concept in statistics and is used in many statistical analyses, such as hypothesis testing and confidence interval estimation. It is also used in finance and economics to measure the risk associated with investments and to assess the variability of economic data.

To solve this problem, we need to standardize the value using z-score formula.

z = (x - mu) / sigma

Here, x = 87, mu = 89, and sigma = 4.

z = (87 - 89) / 4 = -0.5

We can look up the corresponding area under the standard normal distribution curve using a table or calculator. The area to the left of z = -0.5 is 0.3085.

Therefore, P(x < 87) = P(z < -0.5) = 0.3085.

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2. (a) Arnold walked a distance of 50km due north. He continued to move 25km due east.
Sketch a diagram to illustrate the Arnold's movement from the starting point.
Find correct to the nearest whole number the distance between where he started the
journey and where he ended the journey
The bearing of his starting point from his end point.

Answers

Answer:

Step-by-step explanation:

The sketch is a right-angled triangle.

We can use Pythagoras' theorem.

[tex]z^{2} =x^{2} +y^{2}[/tex]

z=√(50^2+25^2)

z= 25√5

z=25*2.23

z=55.75

z≈56km

the distance between where he started the

journey=56km

tan(90-Θ)=25/50

cotΘ=1/2

tanΘ=2

Θ=[tex]tan^{-1} (2)[/tex]

bearing of his starting point from his end point[tex]tan^{-1} (2)[/tex]

The sum of 1/2 and 2/3 is ______1. a. equal to b. less than c. greater than​

Answers

Answer:

c. greater than​

Step-by-step explanation:

[tex]\frac{1}{2}[/tex] + [tex]\frac{2}{3}[/tex] = [tex]\frac{3}{6}[/tex] + [tex]\frac{4}{6}[/tex] = [tex]\frac{7}{6}[/tex] ≈ 1.167

1.167 > 1

So, the answer is c. greater than​

greater than
need to get the same denominator by using common multiples

3.
The formula for converting Fahrenheit temperature to centigrade is °C
=% (°F - 32). What is the difference in centigrade degrees between a
temperature of 60°F and a temperature of 78°F?
25
A. 1°C
B. 5°C
C. 10°C
D. 18°C

Answers

The difference in centigrade degrees between a temperature of 60°F and a temperature of 78°F is 10°C.

Calculating the difference between the temperatures

To convert Fahrenheit (°F) to Celsius (°C), you can use the following formula:

°C = (°F - 32) / 1.8

Using this formula, we can first convert 60°F to Celsius:

°C = (60°F - 32) / 1.8

°C = (28°F) / 1.8

°C = 15.56°C

Similarly, we can convert 78°F to Celsius:

°C = (78°F - 32) / 1.8

°C = (46°F) / 1.8

°C = 25.56°C

The difference in Celsius degrees between these two temperatures is:

Δ°C = 25.56°C - 15.56°C

Δ°C = 10°C

Therefore, the difference in centigrade degrees between a temperature of 60°F and a temperature of 78°F is 10°C.

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Eric had a box of 24 candy bars that he planned to sell for 63 cents each. Unfortunately, his sister ate 7 of his candy bars before he started selling them. In order to bring in the same amount of money as he would have if his sister had not eaten any of the candy bars, what price (in cents) should he charge for each of the remaining candy bars?

Answers

The  price (in cents) should he charge for each of the remaining candy bars 49

First, we would want to calculate how much the box would sell for before the sister ate some.

We would get 24*63(in cents) and we can further get 1512 cents before the sister ate the candy bars.

The sister ate 7 candy bars leaving us with 31 candy bars. To deduct the price for each candy bar, it would be a situation like the following:

$6 for 3 boxes of 500 cookies (i know that's cheap)

6/3...

$2 per box.

Using our situation we get 1512 cents for 31 candy bars.

1512÷31

=48.77

That does seem unrealistic, so we round to the nearest whole number and we get...

49 cents

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- A circle is divided into 5 equal parts.
What is the measure of the angle that
turns through 2 parts?

Answers

The measure of the angle in the given circle which pass through 2 parts out of 5 is 144°.

What is a circle?

All points in a plane that are at a specific distance from a specific point, the center, form a circle.

In other words, it is the curve that a moving point in a plane draws to keep its distance from a specific point constant.

The radius of a circle is the separation between any point on the circle and its center.

The radius must typically be a positive integer. A circle, specifically, is a straightforward closed curve that separates the plane into its inner and exterior.

In common usage, the word "circular" can be used to describe both the figure's edge and its entirety, including its interior.

So, we know that:

The angle of the center of the circle is 360°.

We also know that in the given situation, the circle is divided into 5 parts.

Then,

= 360/5

= 72

Now,

The measure of 2 parts:

72 + 72 = 144

Therefore, the measure of the angle in the given circle which pass through 2 parts out of 5 is 144°.

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Determine if (0,3)
is a solution to y>2
. If so, graph the inequality.


An image of a coordinate plane shows a dashed line with a positive slope. The line crosses the y-axis at (0, 2) and passes through the point (negative 2, negative 2). The area above and to the left of the line is shaded.


An image of a coordinate plane shows a dashed vertical line. The line crosses the x-axis at (2, 0) and passes through the points (2, negative 2) and (2, 2). The area to the right of the line is shaded.


is not a solution.


An image of a coordinate plane shows a dashed horizontal line. The line crosses the y-axis at (0, 2) and passes through the points (2, 2) and (negative 2, 2). The area above the line is shaded.

Answers

Answer:

To determine if (0,3) is a solution to y>2, we need to check if y is greater than 2 when x=0 and y=3. Since 3 is greater than 2, the point (0,3) satisfies the inequality y>2.

To graph the inequality y>2, we need to shade the region above the horizontal line y=2. The line y=2 is a solid line since it includes the points where y=2, but the region above the line is shaded with a dashed line since it does not include the points where y=2.

Here is a description of the graph:

Draw a horizontal line passing through the point (0,2).

Shade the region above the line with a dashed line.

The graph visually represents all the points that satisfy the inequality y>2. Since the point (0,3) is above the line, it is part of the shaded region and satisfies the inequality.

4(3x=2)-9 in written form

Answers

he expression 4(3x=2)-9 can be written as 12x - 9. I

what is 95.2% confidence interval in z-score

Answers

A 95.2% confidence interval in z-score is a range of values that is likely to contain the true population mean with a probability of 95.2%. The z-score for a 95.2% confidence interval is approximately ±1.97.

To calculate the 95.2% confidence interval in z-score, we can use the following formula:

CI = X ± z × (σ/√n)

where X is the sample mean, σ is the population standard deviation, n is the sample size, and z is the critical value from the standard normal distribution table.

For a 95.2% confidence interval, the area in the tails of the standard normal distribution is 0.024 (0.5 - 0.952/2). Therefore, the critical z-value for a 95.2% confidence interval is approximately ±1.97.

This formula assumes that the sample follows a normal distribution, or that the sample size is large enough to satisfy the central limit theorem.

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The volume of a rectangular prism is 6,142.5 cm3. If the height is 16.25 cm and the length is 28 cm, what is the value of the width?

13.125 cm
13.25 cm
13.5 cm
13.75 cm

Answers

Answer:

A. 13.125cm

Step-by-step explanation:

To solve for the width of the rectangular prism, we can use the formula for the volume of a rectangular prism, which is:

volume = length x width x height

We are given that the volume is 6,142.5 cm^3, the height is 16.25 cm, and the length is 28 cm. Let's substitute these values into the formula and solve for the width:

6,142.5 cm^3 = 28 cm x width x 16.25 cm

Dividing both sides by (28 cm x 16.25 cm), we get:

width = 6,142.5 cm^3 / (28 cm x 16.25 cm)

= 13.125 cm

Therefore, the width of the rectangular prism is 13.125 cm. So, the correct answer is A) 13.125 cm.

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