1. An AP Statistics class starts a project to estimate the average number of hours a student at their high school sleeps per night. Their high school has 1200 students, and they take a sample of the first 120 students that arrive at school on a particular day. They ask each of the 120 students how many hours of sleep they got the night before and then calculate an average. Which of the following statements is an accurate description of the elements of this survey?

Answer:

O a=0

Step-by-step explanation:

Answer:

same as 1

Step-by-step explanation:

The maximum amount you can finance is $896.

We are given that;

The monthly gross income = $3,200

Now,

28% of your gross monthly income on your mortgage, including taxes and insurance

The percentage = 28%

3200* 28/100

=32*28

=896

Therefore, by percentage the answer will be $896.

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Answer:

13.25

Step-by-step explanation:

1. you have to subract the cost of the drink:

94.25-1.50=92.75

2.you have to divide to get the individual cost of pizzas by doing

92.75÷7=13.25

so therefore your answer is 13.25 per pizza

Answer:

7.y-side by side

8.n-lines don't cross, not vertical

9.n-don't equal 90 degrees

10.n-don't equal 180 degrees

11.AOB

12.COE

13.EOD

14.DOC

15.DOC, BOA

Step-by-step explanation:

Using the graph, it is found that:

a) The local minimum value of the function is of y = 0.

b) The values are x = -3, x = 3.

The local minimum of a function in a graph is the point at which the function changes from decreasing to increasing. In this problem, they are given by y = 0.

The values at which this happen is the values of x, that is, the horizontal axis. In this problem, they are at x = -3 and x = 3.

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Answer: answer is 79.

Step-by-step explanation:

After 4 half-lives, only 1/16th (or 0.0625) of the initial amount of the radioactive isotope will remain.

The amount of a radioactive isotope remaining after a certain number of half-lives can be calculated using the formula:

Amount remaining = Initial amount × (1/2)^(number of half-lives)

In this case, we are given the initial amount as "grams" and we want to find out the amount remaining after 4 half-lives.

So, the equation becomes:

Amount remaining = Initial amount × (1/2)^4

Since each half-life reduces the quantity to half, (1/2)^4 represents the fraction of the initial amount that will remain after 4 half-lives.

Simplifying the equation:

Amount remaining = Initial amount × (1/16)

Therefore, after 4 half-lives, only 1/16th (or 0.0625) of the initial amount of the radioactive isotope will remain.

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With the help of a linear equation, we know that 182 gallons of water would be used to wash 14 loads.

So, gallons of water used to wash 14 loads are:

Therefore, with the help of a linear equation, we know that 182 gallons of water would be used to wash 14 loads.

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Answer:

The answer to this question would normally be, 85.96%, though that isnt an answer choice so the closest thing to it would most likely be answer choice A.

Using the binomial approximation to the normal, it is found that:

0.86 probability that at most 60 say yes, given by option a.

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

Binomial probability distribution

Probability of exactly x successes on n repeated trials, with p probability.

The expected value is:

\(E(X) = np\)

The standard deviation is:

\(\sqrt{V(X)} = \sqrt{np(1-p)}\)

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

Normal probability distribution

Problems of normally distributed distributions can be solved using the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

When we are approximating a binomial distribution to a normal one, we have that \(\mu = E(X)\), \(\sigma = \sqrt{V(X)}\), if \(np \geq 10\) and \(n(1-p) \geq 10\).

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

The mean and standard deviation are given by:

\(\mu = E(X) = np = 87(0.64) = 55.68\)

\(\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{87(0.64)(0.36)} = 4.4771\)

Using continuity correction, the probability that at most 60 use is \(P(X \leq 60 + 0.5) = P(X \leq 60.5)\), which is the p-value of Z when X = 60.5, thus:

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{60.5 - 55.68}{4.4771}\)

\(Z = 1.08\)

\(Z = 1.08\) has a p-value of 0.86.

Thus, 0.86 probability that at most 60 say yes, given by option a.

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The surface area of the vase is 168.4 square inches.

What is a cylinder?

A cylinder is a three-dimensional geometric shape that has two congruent circular bases connected by a curved surface.

The surface area of the cylindrical vase can be found using the formula SA = B + Ph, where B is the area of the base, P is the perimeter of the base, and h is the height of the vase. Since the vase has a circular base, the area of the base can be found using the formula for the area of a circle: B = πr², where r is the radius of the base.

The diameter of the vase is 4.3 inches, so the radius is half of that, or 2.15 inches. The area of the base is therefore:

B = πr² = 3.14 * (2.15)² ≈ 14.46 square inches.

The perimeter of the base is the circumference of the circle, which can be found using the formula C = 2πr:

P = 2πr = 2 * 3.14 * 2.15 ≈ 13.53 inches.

Now we can use the formula SA = B + Ph to find the surface area of the vase:

SA = B + Ph = 14.46 + 13.53 * 11 ≈ 168.39 square inches.

Rounding to the nearest tenth of a square inch, the surface area of the vase is approximately 168.4 square inches.

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The equation that models the word problem is: 4x + 4/5x = 384 (where x is the cost of 1 ticket).

Cost of each ticket = x = $80

Cost of each T-shirt = x/5 = 80/5 = $16

To solve the word problem given, we would make use of the variable, x.

We are given that:

Cost price of of one T-shirt = 1/5 of the cost price of one ticket.

Total cost of 4 tickets and 4 T-shirts = $384

Let x represent the cost of 1 ticket. Therefore, translating the word problem into an equation, we would have:

4x + 4/5x = 384

Solve to find the value of x

(20x + 4x)/5 = 384

Multiply both sides by 5

(20x + 4x)/5 × 5 = 384 × 5

24x = 1,920

Divide both sides by 24

x = 1,290/24

x = 80

Thus, we have:

Cost of each ticket = x = $80

Cost of each T-shirt = x/5 = 80/5 = $16

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Answer:

14.625

Step-by-step explanation:

4.5x3.25=14.625

Answer:

3/6+2/6 or 1/6+1/6+1/6+1/6+1/6

Step-by-step explanation:

when you decompose a fraction ask yourself "what will add up to the numerator of the fraction?" when decomposing keep denominator the same.

3+2=5. answer 5/6

Answer:

21 kilometers

Step-by-step explanation:

Let the height be \(x\). Then, the length of the base is \(2x\). The formula for the area is of the triangle is given by base*height/2. Therefore, the area of the triangle is equal to \(\frac{x \cdot 2x}{2} = x^2\), which is in turn equal to 441. Since \(x\) must be positive, then \(21^2=441\), meaning that the height is \(21\) kilometers.

Answer: a p e x 2, 15, 29.5, 41, 52

Step-by-step explanation:

Answer:

3 days

Step-by-step explanation:

hope u understand

Answer:

y = \(\sqrt{11}\)

Step-by-step explanation:

Substitute -4 for x and solve for y

\(y^{2}\) = -2x + 3

\(y^{2}\) = -2(-4) + 3

\(y^{2}\) = 8 + 3

\(y^{2}\) = 11

\(\sqrt{y^{2} }\) = \(\sqrt{11}\)

y = \(\sqrt{11}\)

Helping in the name of Jesus.

Answer:

See the image for marked congruences.

1. JM ≅ LM                           |      Given

2. △JML is isosceles          |      definition of isosceles

3. ∠MJL ≅ ∠MLJ                  |       isosceles triangle theorem

4. m∠MJL = m∠MLJ             |      definition of ≅

5. JK ≅ LK                            |      Given

6. △JKL is isosceles           |      definition of isosceles

7. m∠KJL = m∠KLJ              |       isosceles triangle theorem

8. m∠MJL + m∠KJM = m∠KJL                         |  adjacent angle theorem

9. m∠MLJ + m∠KMJ = m∠KLJ                         |  adjacent angle theorem

10. m∠MJL + m∠KJM = m∠MLJ + m∠KLM      |   transitive property of =

11. m∠MJL + m∠KJM = m∠MJL + m∠KLM      |   substitution

12. m∠KJM = m∠KMJ          |        subtraction

13. ∠KJM ≅ ∠KLM                |        definition of ≅

14. △KJM ≅ △KLM             |        SAS theorem

15. ∠JKM ≅ ∠LKM                |        CPCTC

16. KM bisects ∠JKL            |        definition of bisector

Answer:

Hello your question is incomplete attached below is the complete question

answer: RS = ST ( option b )

Step-by-step explanation:

First we consider Δ SCA and Δ TCB

∠ SCA  = ∠ TCB  ,  ∠CAS = ∠CBT = 90°

if we assume  RS = ST then ΔSRT will be termed an Isosceles triangle with its legs : SR = ST. also vertex S bisects the base of the triangle.

Δ SBR ≅ ΔSBT  from here we can deduce that ; BR = BT

From the assumptions what is actually missing to contrast the proof is : RS = ST

The five-number summary for this data set is 29, 32, 43.5, 50.5, and 53, and the interquartile range is 18.5.

Measures of statistical dispersion, or the spread of the data, include the interquartile range. In addition to the IQR, other names for it include the midspread, middle 50%, fourth spread, and H-spread.

To find the five-number summary and interquartile range for this data set, we first need to find the quartiles.

Step 1: Find the median (Q2)

When a data collection is sorted from least to largest, the median is the midway value. Since there are 12 values in this data set, the median is the average of the sixth and seventh values:

Median (Q2) = (41 + 46)/2 = 43.5

Step 2: Find the lower quartile (Q1)

The lower quartile is the median of the lower half of the data set. Since there are 6 values below the median, we take the median of those values:

Q1 = (32 + 32)/2 = 32

Step 3: Find the upper quartile (Q3)

The upper quartile is the median of the upper half of the data set. Since there are 6 values above the median, we take the median of those values:

Q3 = (50 + 51)/2 = 50.5

Now we have all the information we need to construct the five-number summary and interquartile range:

Minimum: 29

Lower quartile (Q1): 32

Median (Q2): 43.5

Upper quartile (Q3): 50.5

Maximum: 53

Interquartile range (IQR) = Q3 - Q1 = 50.5 - 32 = 18.5

the five-number summary for this data set is 29, 32, 43.5, 50.5, and 53, and the interquartile range is 18.5.

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Answer:

c(3a) = 2(3a)^2 - 4(3a) + 3 = 18a^2 - 12a + 3.

Step-by-step explanation:

c(3a) = 18a^2 - 12a + 3

Note: this is the simplified form of the expression.

Answer:

x = 1.12

Step-by-step explanation:

1.2 + 7 x 1.12 = 9.04

May I have brainliest please? :)

Answer:

x=9/8

Step-by-step explanation:

1. Combine like terms.

x+7x=9 ---->   8x=9

2. Divide both sides of the equation by the same term

8x=9 -----> 8x/8 = 9/8

3. Simplify

  x = 9/8   or 1.125

Answer:

volume = 360 inches³

Step-by-step explanation:

The can itself is a cylinder. The volume of a cylinder can be calculated as follows

volume of a cylinder  = πr²h

where

r = radius

h = height

1/3 of the height was cut off that means  1/3 × 12 = 4 inches of the height was cut off.  The new height of the can will be 12 - 4 = 8 inches. Therefore,

volume = πr²h =

base area which is the area of a circle = πr² = 45 inches²

volume = 45 × 8

volume = 360 inches³

Answer:

130°

Step-by-step explanation:

Since both of the angles combined are a straight line, this means that when combined they equal 180°.

 50 + b = 180

- 50        - 50

b = 130

Answer:

0.14

Step-by-step explanation:

The answer is: 0.14

I hope this helps!

Answer:

Step-by-step explanation:

If Trey runs each lap in 5 minutes and he runs at least 6 laps today, then the minimum amount of time he could run is 6 laps x 5 minutes per lap = 30 minutes. This would be the case if Trey only ran 6 laps and no more.

To find the maximum amount of time Trey could run, we need to know how many laps he will actually run. If we assume he will run n laps, then the maximum amount of time he could run is n laps x 5 minutes per lap. Therefore, the possible range of times Trey could run today is:

30 minutes ≤ total time ≤ n laps x 5 minutes per lap, where n is the number of laps Trey actually runs.

Since we do not know how many laps Trey will run, we cannot give a specific range of possible times. However, we do know that the range will always include the minimum of 30 minutes, and the maximum will increase as Trey runs more laps.