Answer:
The mean of X is 164.5 and the standard deviation is 9.34.
Step-by-step explanation:
For each adult, there are only two possible outcomes. Either they believe that the overall state of moral values is poor, or they do not. The probability of an adult believing this is independent of any other adult, which means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
Probability of exactly x sucesses on n repeated trials, with p probability.
The expected value of the binomial distribution is:
[tex]E(X) = np[/tex]
The standard deviation of the binomial distribution is:
[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]
Suppose that a recent poll found that 47% of adults believe that the overall state of moral values is poor.
This means that [tex]p = 0.47[/tex]
350 randomly selected adults
This means that [tex]n = 350[/tex]
What is the mean of X and the standard deviation of X?
Mean:
[tex]E(X) = np = 350*0.47 = 164.5[/tex]
Standard deviation:
[tex]\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{350*0.47*0.53} = 9.34[/tex]
The mean of X is 164.5 and the standard deviation is 9.34.
Speedometer readings for a motorcycle at 12-second intervals are given in the table.
t (s) 0 12 24 36 48 60
v (ft/s) 30 28 25 21 25 27
(a) Estimate the distance traveled by the motorcycle during this time period using the velocities at the beginning of the time intervals.
ft
(b) Give another estimate using the velocities at the end of the time periods.
ft
(c) Are your estimates in parts (a) and (b) upper and lower estimates? Explain.
O (b) is a lower estimate and (a) is an upper estimate since v is a decreasing function of t.
O (a) and (b) are neither lower nor upper estimates since v is neither an increasing nor decreasing function of t.
O (a) is a lower estimate and (b) is an upper estimate since v is an increasing function of t.
(a) The distance traveled by motorcycle is 1548 ft.
(b) The distance traveled by motorcycle is 1512 ft.
(c) (b) is a lower estimate and (a) is an upper estimate since v is a decreasing function of t.
What is velocity?
The primary indicator of an object's position and speed is its velocity. It is the distance that an object travels in one unit of time. The displacement of the item in one unit of time is the definition of velocity.
Given table is:
t (s) 0 12 24 36 48 60
v (ft/s) 30 28 25 21 25 27
The distance traveled by motorcycle during this time period using the velocities at the beginning of the time intervals is:
12(30 + 28 + 25 + 21 + 25)
=12 × 129
= 1548 ft
The distance traveled by motorcycle during this time period using the velocities at the end of the time intervals is:
12(28 + 25 + 21 + 25 + 27)
=12 × 126
= 1512 ft
The distance traveled by motorcycle at the end of the time intervals is greater than the distance traveled by motorcycle at the beginning of the time intervals.
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The function f is defined by f(x) = x^2 + 3x - 10. If f(x-2) = x^2 + bx + c, what are the values of b and c?
______________________________
When you put the answer could you put the steps that you took, so I could use it on other problems
Thanks
Distributive Property
Factoring
FOIL (First Outside Inside Last)Functions
Function NotationApplicationStep 1: DefineLet's organize what is given to us in the problem.
We are given a function f, defined as f(x) = x² + 3x - 10.
We are asked to find the values of b and c in f(x - 2) = x² + bx + c.
Step 2: SolveIn order to solve the question, we first must find the full function of f(x - 2):
[tex]\displaystyle\begin{aligned}f(x - 2) & = (x - 2)^2 + 3(x - 2) - 10 \\& = \underbrace{x^2 - 4x + 4}_{\text{FOIL}} + \underbrace{3x - 6}_{\text{Distribute}} - 10 \\& = \boxed{ x^2 - x - 12 } \\\end{aligned}[/tex]
∴ [tex]\displaystyle \boxed{ f(x - 2) = x^2 - x - 12 }[/tex]
Now, we can correlate our variables to the f(x - 2) function by comparing them side-by-side:
[tex]\displaystyle\begin{aligned}f(x - 2) & = x^2 - x - 12 \\& = x^2 + bx + c \\& \Rightarrow \boxed{ b = -1 ,\ c = -12 }\end{aligned}[/tex]
∴ we have found the values of b and c.
Answer∴ the value of b is equal to -1 and the value of c is equal to -12.
___
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___
Topic: Algebra I
Unit: Factoring
m∠A =
, m∠B =
, m∠C =
HELP PLEASE 10 POINTS!
pls explain
a. 160 is what percentage of 40?
b. 40 is 160% of what number?
c. What number is 40% of 160?
Answer:
a) 400% b) 1/4 c) 64
Step-by-step explanation:
Answer:
a. 400%
b. 25
c. 64
Step-by-step explanation:
a. 160 ÷ 40/100
160 × 100 / 40
4 × 100 = 400%
b. 40 ÷ 160%
40 ÷ 160/100
40 × 100/160 = 25
c. 40% × 160
40/100 × 160
4 × 16 = 64
An angle measures 120°less than the measure if its supplementary angle. What is the measure of each angle
Answer: 60°
Step-by-step explanation: 180 - 120 = 60.
Answer:
30 and 150
Step-by-step explanation:
The first angle is 30 degrees. The second angle is 150 degrees. Here's why:
Explanation:
The first angle will be expressed as x. Since the second angle is 120
degrees greater than the first, it will be expressed as (x+120). Because they're supplementary, they'll add up to
180: x+(x+120)=180
Combine like terms.
2x+120=180
Subtract 120 from both sides.
2x=60
Divide by 2 to isolate for x.
x=30
Plug your data back in:
30 + (30 + 120) = 180
First angle: 30 degrees
Second angle: 150 degrees
Kira needs 3,000 milligrams of zinc for a science experiment.
Which expression can be used to determine how many grams of zinc she needs?
A.
1000
÷
3000
B.
1000
×
3000
C.
3000
÷
1000
D.
3000
×
100
Answer:
3 grams
Explanation: To solve you have to divide the mass value by 1000.
3000/1000=3 Grams
I hope this helps :)
20, 70, 110, 140, 160, ___ what’s the next sequence?
Answer:
D (i hope)
Step-by-step explanation:
When you minus the highest to the lowest it is added by 10 so
160-140= 20
140-110=30
110-70= 40
70-20= 50
I had added 10 to 160 and got 170
Listen ducky:
160-140=20
140-110=30
110-70=40
70-20=50
20+30+40+50+10 (we need to add 10 on every part because of the question), so 10+10+10+20+30+40+50=170
The answer is D, my dear duck
Find the final price or each product after sales tax is applied. Round to the nearest cent. Potted Plant: $17.29 Sales Tax: 3%
Answer:
17.81 would be your answer.
Step-by-step explanation:
You would do 17.29 x 1.03 to get the price after sales tax is added which would be 17.81
The average amount of money spent for lunch per person in the college cafeteria is $5. 97 and the standard deviation is $2. 25. Suppose that 46 randomly selected lunch patrons are observed. Assume the distribution of money spent is normal, and round all answers to 4 decimal places where possible.
What is the distribution of X? X~ N(_______,_______)
What is the distribution of ¯x? ¯x~ N(______,_____)
For a single randomly selected lunch patron, find the probability that this patron's lunch cost is between $6. 4225 and $6. 5884.
For the group of 46 patrons, find the probability that the average lunch cost is between $6. 4225 and $6. 5884
We determined that the probability of lunch cost is between the above-mentioned value is P (0.2011 < Z < 0.2748)
What is probability and statistics?
Probability is the possibility of happening an event. It is expressed as the ratio of the number of favorable outcomes to the total possible outcome.
We can find probability from a statistical data based on the mean value and standard deviation.
What is the probability of the given data?given, average cost for lunch per person = mean value = $5.97
standard deviation of cost = $2.25
number of samples = 46
assume distribution of money spent is normal.
the probability of a single lunch patron that has a cost between $6.4225 and $6.5884 can be calculated by the following way.
Z-score = (actual price - mean price) / standard deviation
Z-score when actual price is $6.4225.
Z = ($6.4225 - $5.97) / $2.25
Z = 0.2011
Now, Z-score when actual value is $ 6.5884.
Z = ($6.5884 - $5.97) / $2.25
Z = 0.2748
If actual value is denoted by X than the probability is shown as
P (6.4225< X< 6.5884) and P (0.2011< Z< 0.2748)
For the group of 46 patrons the above probability is also the same.
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What property is illustrated in if ∠a ≅ ∠B ∠B ≅ ∠C then ∠a ≅ ∠CA reflexive property C transitive property B symmetric property d addition property?
The property of congruence illustrated in the statement is the transitive property.
What is transitive property?The transitive property states that if A is congruent to B and B is congruent to C, then A is congruent to C. In other words, if two things are congruent to a third thing, they are also congruent to each other.
here,
In the statement "If AB ≅ DE, EF ≅ DE then AB ≅ EF," AB is congruent to DE, and EF is congruent to DE, so AB must also be congruent to EF according to the transitive property.
The other properties you listed are not applicable in this case. The symmetric property states that if A is congruent to B, then B is congruent to A. The reflexive property states that every object is congruent to itself. And multiplication is not a property of congruence.
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Carl is filling flowerpots with soil. Each flowerpot is a cylinder with a radius of 7cm and a height of 10 cm. If Carl has 24,000 cubic centimeters of soil, how many flowerpots can he fill? Explain. Cylinder
Answer:
1
Step-by-step explanation:
V = pie x 7² x h
V = 3.14 ×7² x 10
V = 3.14 x 49 x 10
V = 3.14 x 490
V = 1538.6
If you add 2 it will make it 3077.2 and that goes over so 1
Hope this helps :)
can someone help me with this but please with details on how u got the answer:
The function’s average rate of change over the interval from x: 1 to x:2 is:
The function’s average rate of change over the interval from x = 1 to x = 2 is: -2. The correct option b.
What is a slope?In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction.
We have the interval from x = 1 to x = 2.
To find the function’s average rate of change over the interval from x = 1 to x = 2 is:
We interpreted the interval in the coordinate form.
The curve from (1, 2) to (2, 0) is a straight line.
And the slope of the line is the average rate of change of the function.
If a line passes through two points (x₁ ,y₁) and (x₂, y₂) ,
then the equation of line is
y - y₁ = (y₂- y₁) / (x₂ - x₁) x (x - x₁)
To find the slope;
m = (y₂- y₁) / (x₂ - x₁)
m = (0-2) / (2-1)
m = -2/1
m = -2
Therefore, the average rate of change is -2.
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Find the surface area and round to the nearest hundredths place when necessary.
Answer:
Let's find the area of 1 triangle (this may not be the formula but I'm doing it in a more easier way).
20(base) x 10.5(height) = 210
210 divided by 2 ( x 1/2) = 105
Since there are 4 sides we must multiply the area of 1 triangle four times! Since there are 4 sides of triangles.
105 x 4 = 420
Oh and I almost forgot! We need to find the area of the square below!
20 x 20 = 400!
Now we add both areas of all the triangles and the area of the bottom square:
420 + 400 = 820 in2 is your answer. (we use the unit 2 since we are finding areas and adding them up)
Formula of a triangle:
BH x 1/2
B(base) x H(height) x 1/2 (basically just dividing by 2)
Question is on the pic HELP!!!
Answer: D) -2x -8
Step-by-step explanation:
Explain the process how would you estimate the solution of system of equation to the nearest tenth place
The actual solution must be approximated to the tenth place.
How do you solve an equation to the nearest tenth?
To round the decimal number to its nearest tenth, look at the hundredth number. If that number is greater than 5, add 1 to the tenth value. If it is less than 5, leave the tenth place value as it is, and remove all the numbers present after the tenth place.
To estimate the tenth place, you have to determine the actual solution and the approximate.
Assume the solution to the system of equations is:
(x, y), (1.25, 1)
1.25 is to the hundredth place.
So, the next thing is to approximate 1.25 to 1.3 (the tenth place).
So, we have:
(x, y), (1.3, 1)
Hence, the actual solution must be approximated to the tenth place.
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Blank times 9 minus blank times 4 equals blank minus blank equals blank. You have to use the numbers 9,7,4,3 only.
The value for the blanks after calculating the as per the given data is found to be as 4 and 9 respectively.
On solving the question we will get the answer of the final blank as 0.
The question can be rephrased as ,
__x 9 - __ x 4 = ___ - ___ = ___.
Now if we will place 4 in first blank and 9 in second blank we will get the result as follows,
4 x 9 - 9 x 4 = 36 - 36 = 0
Therefore , we will get our desired answer.
A relationship between two quantities or, more broadly, two mathematical expressions that asserts that the quantities have the same value or that the expressions reflect the same mathematical object is referred to as equality.
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Please help with the attached question :))
Answer:
6.5 cm
Step-by-step explanation:
Given the perimeter is 33 cm
Sum the 4 sides and equate to 33
2(3x - 1) + 2(2x + 5) = 33
6x - 2 + 4x + 10 = 33
10x + 8 = 33 ( subtract 8 from both sides )
10x = 25 ( divide both sides by 10 )
x = 2.5
Then
shorter side = 3x - 1 = 3(2.5) - 1 = 7.5 - 1 = 6.5 cm
Answer:
the length of the shorter side is 6.5
Which statement about credit reports is correct?
Select the best answer from the choices provided.
A.
Credit reports are only available to banks and businesses that pay agencies for them.
B.
The government issues credit reports and offers them for free to consumers.
C.
Credit reporting agencies provide credit reports to consumers only upon payment of a fee.
D.
Credit reporting agencies provide a free credit report each year upon request.
Answer: .
Credit reporting agencies provide a free credit report each year upon request
Step-by-step explanation:
A credit report simply refers to the record of the credit history of a borrower from sources, such as collection agencies, banks, credit card companies, and governments.
It should be noted that an individual will be given one free copy of his or her credit report every year. Therefore, the correct option will be D.
Simplify and leave in radical form.
∜x^2
Answer: √ x
Step-by-step explanation:
Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.
help wirh question 3 pls giving brainliest
Answer:
24a + 16g
Step-by-step explanation:
So the answer is 24a + 16g because you cant add variables together. When you multiply this because it is distibutive property you get that answer.
And also for extra proof,
Once you get the 6 you distributively divide to the power of the 92nd declaring independence for all turds stuck in your stomach.
[(5-4)+1]*12
[1+1]*12
2*12
24
:D Hope this helps! (for real the first part is true)
PLEASE HELP ASAP
Combine like terms
8x + 3 - 5x + 9
Answer: B
Step-by-step explanation: [tex]8x-5x=3x\\3+9=12\\[/tex]
Hope this helps any
Answer:
B. 3x+12
Step-by-step explanation:
8x+3-5x+9
First combine the x. So, 8x-5x=3x
Next combine the 3 and the 9. So, 3+9=12
After you combined like terms your equation now looks like: 3x+12
Hope it helped you.
A sequence of 3 transformations is applied to the L-shaped
figure to produce the image shown on the coordinate plane.
The 3 transformations, in no particular order, are:
A) translation 9 units to the left and 4 units down
B) reflection in the x-axis
C) rotation of 90 degrees counter-clockwise rotation about
the origin
What is the correct order in which to apply these
transformations in order to produce the given image?
Answer:
BCA
Step-by-step explanation:
If you vertically stretch the exponential function, f(x) = 2%, by a factor of 3,
what is the equation of the new function?
A. g(x) = • 2*
B. g(x) = 3.2%
C. g(x) = 2.3%
D. g(x) = 23x
If you vertically stretch the exponential function f(x)=2^x by a factor of 3, the resulting function will be y = 3*2^x
Exponential functionThe standard exponential function is expressed as:
y = ab^x
The value of x determines the nature of a graph whether vertical or horizontal stretch.
If x > 1, it is a vertical stretch
Given the function f(x) = 2^x, if you vertically stretch the exponential function f(x)=2^x by a factor of 3, the resulting function will be y = 3*2^x
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help meeee i keep confusing myselffff
Answer:
Its D
Step-by-step explanation:
What percent of 48 is 16?
Answer:
Step-by-step explanation:
hello follow me on zepeto if this helps
16 is 33.3333% of 48. 33 is the whole number hope you get a
without computing, decide whether the vaule of each expresstion is much smaller than 1, close to 1, or much greater than 1
Answer: uhm...
Step-by-step explanation:
2...?
Bretts history quiz scores are 84, 78, 92, 90, 85, 91, and 0. Decide which measure(s) of center best describes the data set. Explain your reasoning.
Answer:
the median best describes the data
the mean is less than 5 of the data points
the range only describes 2 of the data points
thus the median best describes the data
Step-by-step explanation:
Median is the number in the centre of a set of observations
0. 78, 84,85,90,91,92, the median is 85
range = highest - lowest = 92 - 0 = 92
mean = sum of observations / number of observations = 74.3
Is 8 15 17 are Pythagorean triples?
No, 8, 15, 17 are not Pythagorean triples.
No, 8 15 17 are not Pythagorean triples. A Pythagorean triple is a set of three positive integers a, b, and c such that a2 + b2 = c2. In other words, the sum of the squares of two integers must equal the square of the third integer.
In the case of 8 15 17, if we calculate the sum of the squares of the two smaller integers, 8 and 15, we get
[tex]8^2 + 15^2 = 64 + 225 = 289[/tex].
This does not equal the square of the third integer,
[tex]17^2 = 289,[/tex]
so 8 15 17 are not Pythagorean triples.
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Rhombus ABCD has a diagonal BD¯¯¯¯¯.
m∠ADB=(6x−7)°
m∠CDB=(5x+5)°
What is the m∠ADC ?
Enter your answer in the box
What is the horizontal asymptote * 1 point?