Suppose the true proportion of high school students who walk to school in New York City is 0.82. If many random samples of 400 high school students are taken, by how much would their sample proportions typically vary from the true proportion?
a. 0
b. 0.001
c. 0.019
d. 0.148
e. 7.684

Answer:

12. Since there is no table given I will assume that what you want me to do is to show that Unit rate of Brandon’s biking. SO here are the data that we need: => 8 and ½ miles = 8.5 miles => ½ hour = .5 hours or 30 minutes Now, let’s solve for the unit rate => SO in every 30 minutes he bikes around 8.5 miles => Since 1 hour is equals to 30 minutes, simply multiply 8.5 by 2 => 8.5 * 2 = 17miles => 17 miles / hour

Step-by-step explanation:

divide 612 by 12  

>O<

Best represents the constant rate at which cupcakes are sold at the bake sale $0. 55 per cupcake

Mrs. Campos is making cupcakes for a bake sale. She uses the equation c = 0. 55x to determine the cost, c, for x cupcakes. Which best represents the constant rate at which cupcakes are sold at the bake sale?

55 cupcakes per dollar

$0. 55 per cupcake

$4 per cupcake

c = 0. 55x

to determine the cost, c,

for x cupcakes.

CASE 1

55 cupcakes per dollar

therefor x = 55

c = 0. 55x

c = 0. 55 × 55

 = 30.25

case2

$0. 55 per cupcake

x = 1

c = 0. 55x

c = 0. 55 × 1

   =  0. 55

case 3

$4 per cupcake

x = 1

c = 0. 55x

c = 0. 55 × 1

   =  0. 55

therefor conclusion is best represents the constant rate at which cupcakes are sold at the bake sale $0. 55 per cupcake

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Doris needs to complete a total of 30 hours of continuing education to renew her real estate license for the first time. As she has already completed 20.5 hours of CE, she needs to complete an additional 9.5 hours of CE.

It's important to note that continuing education requirements vary by state and licensing board, so it's always a good idea to check with the relevant authorities to ensure you meet all the requirements for license renewal. Real estate agents are typically required to complete a certain number of continuing education hours within a specific time frame in order to maintain their license and stay up-to-date with industry developments and best practices. This is important to ensure they are equipped with the necessary knowledge and skills to provide quality services to their clients.
In summary, Doris needs to complete an additional 9.5 hours of CE to meet the 30-hour requirement for renewing her real estate license for the first time.

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Therefore, the original number is 10x + y = 10(10) + 7 = 107.

Given that the sum of the digits is seventeen, we have the equation:

x + y = 17 (equation 1)

The number with the digits reversed is thirty more than 5 times the tens' digit of the original number. The number with the digits reversed would be 10y + x.

According to the given information, we have the equation:

10y + x = 5x + 30 (equation 2)

To solve the system of equations, we can substitute equation 1 into equation 2:

10(17 - x) + x = 5x + 30

Expanding and simplifying:

170 - 10x + x = 5x + 30

170 - 30 = 5x + 10x - x

140 = 14x

x = 10

Substituting the value of x back into equation 1:

10 + y = 17

y = 7

Therefore, the original number is 10x + y = 10(10) + 7 = 107.

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Answer:

-1

Step-by-step explanation:

-1 x (-0.1 x -5 + 0.5)

= -1 x 1

= -1

Answer:

A or 3 inches by 5 inches inches bc it can't be the other ones.

Step-by-step explanation:

Answer:

I believe a pyramid has A. 5 faces

Answer:

A. 5

Step-by-step explanation:

A. 5 faces

The equation relating x and y when they vary inversely is y = 75/x. (option-a)

When two variables are said to vary inversely, it means that as one variable increases, the other decreases, and vice versa, so their product remains constant. In this case, we are told that x and y vary inversely. Therefore, we can write:

\(x \times y\)= k

where k is a constant.

Given that x = 15 when y = 5, we can substitute these values into the above equation to solve for the constant k:

\(15 \times 5\) = k

k = 75

Now we can substitute the value of k into the equation to get:

\(x \times y\) = 75

Dividing both sides of this equation by x, we get:

y = 75/x

So, the answer is: y = 75/x.(option-a)

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Answer:

360

Step-by-step explanation:

Answer:

\(<ADB=9\)×\(5+4\)\(=49\)

Step-by-step explanation:

\(<(13x-16)=<(9n+4)\\\\13x-9x=4+16\\\\4x=20\\\\x=\frac{20}{4} \\\\x=5\\\\<ADB=9*5+4=49\)

hope it helps....

Answer:

The equation formed: 3.5 x 6 = x

Kenny's speed: 3.5m/h

Distance covered by her in 6 hours: 3.5x6 =

18.0

Answer: X=0 Y=3

Step-by-step explanation:

Using the concept of asymptotes, it is found that for this function, they are: y = 3 and x = 0.

--------------

From the graph:

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The list that gives the sample space for pulling two slips of paper out of the hat with replacement is list 4 ( optionD)

A sample space is a collection or a set of possible outcomes of a random experiment. The sample space is represented using the symbol, “S”. A sample space may contain a number of outcomes that depends on the experiment.

For example if a fair die is thrown, the probability of getting an even number. This means that the sample space of even number in a fair die is 3 i.e, 2,4 and 6

Similarly, There are three names with slip, Analise, Benjamin and cora, the sample space to bring 2 slips out with replacement has this results

The slips can be;

1. Benjamin, cora

2. Analise, cora

3. Benjamine, Analise

4. Analise , Benjamin

5. cora, Analise

6. cora, Benjamin

7. cora, cora

8. Benjamin, Benjamin

9. Analise, Analise

The list that shows these result or sample space is list 4

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Answer:

The list that gives the sample space for pulling two slips of paper out of the hat with replacement is list 4 ( optionD)

Step-by-step explanation:

If Alex sells 30 bracelets in the first month and increases her sales by 6 bracelets each month, she will sell a total of 360 bracelets in the first 12 months.

To determine the total number of bracelets Alex will sell in the first 12 months, we can use a simple arithmetic progression. Alex sells 30 bracelets in the first month, and her goal is to sell 6 more bracelets each subsequent month. This means that in the second month, she will sell 30 + 6 = 36 bracelets. In the third month, she will sell 36 + 6 = 42 bracelets, and so on.

We can observe that the number of bracelets sold forms an arithmetic sequence with a common difference of 6. To find the total number of bracelets sold in the first 12 months, we can sum the terms of this arithmetic sequence. Using the formula for the sum of an arithmetic series, which is Sn = (n/2)(2a + (n-1)d), where a is the first term, d is the common difference, and n is the number of terms, we can calculate the total number of bracelets sold.

In this case, a = 30 (the first term), d = 6 (the common difference), and n = 12 (the number of terms). Substituting these values into the formula, we get Sn = (12/2)(2(30) + (12-1)(6)) = 6(60 + 11*6) = 360.

Therefore, Alex will sell a total of 360 bracelets in the first 12 months if she meets her goal of selling 6 more bracelets each month than the previous month.

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The probability that all the molecules of a gas consisting of 1 molecule will be found in one half of a container is 1 or 100%.

If a gas consists of only one molecule, then it will always be found in one half of the container. This is because there is no other molecule to interact with and no other half of the container to occupy. Therefore, the probability that all the molecules of a gas consisting of 1 molecule will be found in one half of a container is 1 or 100%.

However, this is not the case for gases consisting of more than one molecule. In fact, the probability of all the molecules being found in one half of a container is extremely low and depends on the number of molecules, the volume of the container, and the temperature and pressure of the gas.

This phenomenon is related to the concept of entropy and the tendency of systems to move towards a state of higher disorder. As the number of molecules in a gas increases, the probability of all the molecules being found in one half of a container decreases exponentially.

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Answer:

150cm; 160cm; any number from 151-159

Step-by-step explanation:

The inequalities tell us that she is taller than 150 cm (h > 150), but she is shorter than 160 cm (h < 160). since the inequality signs are not equal to, she cant be 150 or 160 cm so she could be anywhere from 151-159 cm tall. Hope this helps!

Answer:

Step-by-step explanation:

h > 150 where h is Lin's height means that Lin is taller than 150cm.

h < 160 where h is Lin's height means that Lin is shorter than 160cm.

If this is true, it means that a possible height could be anywhere between 150cm and 160cm - so 151, 152, 153, 154, 155, 156, 157, 158, or 159. Any of these would work.

Answer:

8(x+3)

Explanation:

"The product of 8 and" means 8 is going to be multiplied times another quantity. "...the sum of a number x and 3" means that 8 is going to be multiplied times (x+3).

This is represented by 8×(x+3), which simplifies to 8(x+3).

Answer:

x = 55

Step-by-step explanation:

Since 2 sides of the triangle are congruent, both 5, then the triangle is isosceles and the 2 base angles are congruent, both x , then

x + x + 70 = 180 ← sum of 3 angles = 180°

2x + 70 = 180 ( subtract 70 from both sides )

2x = 110 ( divide both sides by 2 )

x = 55

Answer:

55.52

Step-by-step explanation:

By sine rule:

\( \frac{ \sin x \degree}{5} = \frac{ \sin 70 \degree}{5.7} \\ \\ \sin x \degree = \frac{ 5 \: \sin 70 \degree}{5.7} \\ \\ \sin x \degree = \frac{ 5 \: \sin 70 \degree}{5.7} \\ \\ x \degree = {sin}^{ - 1} ( \frac{ 5 \: \sin 70 \degree}{5.7}) \\ \\ x \degree = 55.516753493 \degree\\ \\ x = 55.52\)

First, let's calculate the standard deviation of the bricks.

Standard deviation = 5.75 - 5 = 0.75

Now, we need to use the z-score formula to calculate the mean.

z-score = (observed value - mean) / standard deviation.

Let's plug our values into the formula above.

1 = (5 - mean) / 0.75

Multiply both sides by 0.75

0.75 = 5 - mean

Subtract 5 from both sides.

-4.25 = -mean

Divide both sides by -1

4.25 inches = mean

Answer: A. 4.00 inches

False. The range of a linear transformation is a subset of the codomain, not the domain.

The domain is the set of inputs to the transformation, while the codomain is the set of possible outputs. The range is the set of actual outputs produced by the transformation. The statement "The range of a linear transformation must be a subset of the domain" is false. The range of a linear transformation is a subset of the codomain, not the domain. The domain is the set of input vectors, while the codomain contains the possible output vectors after applying the linear transformation.

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Answer:

Step-by-step explanation:

Y equals mx plus b

The area of the parallelogram with sides measuring 44, 38, and an included angle of 35 degrees is approximately 1,008.77 square units.

To find the area of a parallelogram, we need to know the length of one side and the perpendicular height. However, in this case, we are given the lengths of two adjacent sides (44 and 38) and the measure of the included angle (35 degrees). To find the area, we can use the formula:

Area = side1 * side2 * sin(angle)

Plugging in the values, we have:

Area = 44 * 38 * sin(35 degrees)

To calculate this, we convert the angle from degrees to radians since the trigonometric functions in most programming languages work with radians. Using the conversion formula (radians = degrees * pi / 180), we find that 35 degrees is approximately 0.610865 radians.

Area = 44 * 38 * sin(0.610865)

Using a scientific calculator or a programming language, we can evaluate sin(0.610865) to be approximately 0.5815.

Area = 44 * 38 * 0.5815

≈ 1008.77 square units

Therefore, the area of the parallelogram is approximately 1,008.77 square units.

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If triangle JKL is rotated 180° clockwise, the location of J’ is: B. (6, 7).

Generally, there are different types of transformation and these include the following:

A rotation can be defined as a type of transformation which moves every point of the object through a number of degrees around a given point, which can either be clockwise or counterclockwise (anticlockwise) direction.

From the graph (see attachment), we have the following data:

In Geometry, rotating a point 180° about the origin in a clockwise or counterclockwise (anticlockwise) direction would produce a point that has the coordinates (-x, -y).

By applying a rotation of 180° clockwise to triangle JKL, the location of J’ is given by:

Points at J = (-6, -7)   →  Points at J' = (-(-6), -(-7))

Points at J = (-6, -7)   →  Points at J' = (6, 7).

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Complete Question:

If JKL is rotated 180° clockwise, which describes the location of J'?

A. (-7, 6)

B. (6, 7)

C. (7,-6)

D. (7,6)

The turbine tower that is specified to be 17 inches tall, the 17 inches of height would be measured from the base of the tower to the top of the nacelle.

To accurately measure the height of a turbine tower, it's important to define the reference point or the base from where the height is to be measured.

Typically, the height of a turbine tower is measured from the base of the tower to the top of the nacelle, which is the part of the tower that houses the generator, gearbox, and other mechanical components.

So, in the context of a turbine tower that is 17 inches tall, this 17 inches can be measured from base of the tower to the top of the tower.

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Answer:

\( (gof)x= 4(x - 5) ^{2} + 2 \\ = 4( {x}^{2} - 10x + 25) + 2 \\ = 4x^{2} - 40x + 100 + 2 \\ = 4x ^{2} - 40x + 102\)

Answer:

218.57

Step-by-step explanation:

Since it is an isoceles triangle, the sides are 32, 32, and 14.

Using Heron's Formula, which is Area = sqrt(s(s-a)(s-b)(s-c)) when s = a+b+c/2,  we can calculate the area.

(A+B+C)/2  = (32+32+14)/2=39.

A = sqrt(39(39-32)(39-32)(39-14) = sqrt(39(7)(7)(25)) =sqrt(47775)= 218.57.

Hope this helps have a great day :)

Check the picture below.

so let's find the height "h" of the triangle with base of 14.

\(\begin{array}{llll} \textit{using the pythagorean theorem} \\\\ a^2+o^2=c^2\implies o=\sqrt{c^2 - a^2} \end{array} \qquad \begin{cases} c=\stackrel{hypotenuse}{32}\\ a=\stackrel{adjacent}{7}\\ o=\stackrel{opposite}{h} \end{cases} \\\\\\ h=\sqrt{ 32^2 - 7^2}\implies h=\sqrt{ 1024 - 49 } \implies h=\sqrt{ 975 }\implies h=5\sqrt{39} \\\\[-0.35em] ~\dotfill\)

\(\stackrel{\textit{area of the triangle}}{\cfrac{1}{2}(\underset{b}{14})(\underset{h}{5\sqrt{39}})}\implies 35\sqrt{39} ~~ \approx ~~ \text{\LARGE 218.57}\)

A 30-year ARM mortgage loan means that the borrower will have a fixed interest rate for the first 30 years of the loan. After that, the interest rate will adjust annually based on the index and margin.

In this case, the start rate is 3.50%. This means that for the first year, the borrower will pay interest at a rate of 3.50%. At the end of the first year, the interest rate will adjust based on the index and margin.
The index used for this mortgage is MTA, which was 3.00% at the start of the loan. At the end of the first year, the MTA was 4.45%, and at the end of the second year, it was 4.50%.
To calculate the new interest rate at the end of each year, we need to add the margin to the current index rate. The margin is 3.00% and remains the same for the duration of the loan.

Let's calculate the new interest rate at the end of the first year:
New Interest Rate = Current Index Rate + Margin
New Interest Rate = 4.45% + 3.00%
New Interest Rate = 7.45%

However, the rate caps limit how much the interest rate can increase or decrease. In this case, the rate caps are 3/2/6, which means that the interest rate can increase by a maximum of 3 percentage points after the first adjustment, 2 percentage points for subsequent adjustments, and 6 percentage points over the life of the loan.

Since the new interest rate calculated above (7.45%) exceeds the rate cap of 3 percentage points for the first adjustment, the interest rate will be capped at the maximum allowed increase. Therefore, the new interest rate at the end of the first year will be 6.50%.

For subsequent adjustments, the interest rate can increase by a maximum of 2 percentage points. Let's calculate the new interest rate at the end of the second year:
New Interest Rate = Current Index Rate + Margin
New Interest Rate = 4.50% + 3.00%
New Interest Rate = 7.50%

Since the new interest rate calculated above (7.50%) exceeds the rate cap of 2 percentage points, the interest rate will be capped at the maximum allowed increase. Therefore, the new interest rate at the end of the second year will be 6.50%.

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Answer:

2 I guess or what you mean with replace

Step-by-step explanation:

but you replace it you still have the 5 apple so not sure