Distributive Property
3(2x + 2)​

Answer:

a. The margin of error for the survey is of 0.0308 = 3.08%.

b. The 95% confidence interval that is likely to contain the exact percent of all people who favor the home team winning is (65.96%, 78.04%).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].

The margin of error of the survey is:

[tex]M = \sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

The confidence interval can be written as:

[tex]\pi \pm zM[/tex]

In a survey of 212 people at the local track and field championship, 72% favored the home team winning.

This means that [tex]n = 212, \pi = 0.72[/tex]

a. Find the margin of error for the survey.

[tex]M = \sqrt{\frac{0.72*0.28}{212}} = 0.0308[/tex]

The margin of error for the survey is of 0.0308 = 3.08%.

b. Give the 95% confidence interval that is likely to contain the exact percent of all people who favor the home team winning.

95% confidence level

So [tex]\alpha = 0.05[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].

Lower bound:

[tex]\pi - zM = 0.72 - 1.96*0.0308 = 0.6596[/tex]

Upper bound:

[tex]\pi + zM = 0.72 + 1.96*0.0308 = 0.7804[/tex]

As percent:

0.6596*100% = 65.96%

0.7804*100% = 78.04%.

The 95% confidence interval that is likely to contain the exact percent of all people who favor the home team winning is (65.96%, 78.04%).

Answer:

4

Step-by-step explanation:

Answer:

C, D

Step-by-step explanation:

in the first coordinate plane, both numbers in a coordinate must be positive

Answer:

1x 2x 3x

Step-by-step explanation:

Answer:

p=44,A=120

Step-by-step explanation:

P=10+12+10+12

P=44cm

A=10*12

A=120cm^2

Answer:

5.26 hours or 315.6 minutes

Step-by-step explanation:

If he travels 0.19 miles in 1 hour

Then 1 mile is traveled (1x1)/0.19

5.26 approx. hours or 5.26 x 60 mins = 315.6.

Answer:

Answer is 12

Step-by-step explanation:

angle BCF+angle CFE=180(being co-interior angle)

4x+11x=180

15x=180

x=180/15

x=12

Answer:

An acute triangle

Step-by-step explanation:

Answer:

A) Lydia

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

hii :)

so we cant add n numbers and not n numbers.

knowing this, we have to somehow put them together.

2n-3+n+4

adding the 2n and n together: 3n-3+4

add -3+4=1

resulting in

3n+1, so the answer is A because n is a full basket and 3 times that is 3 full baskets. (with an extra 1 apple)

i hope this was easy to understand!

Answer:

C

Step-by-step explanation:

18 boys

Answer:

i think 18 msy be

Step-by-step explanation:

Answer:

number of 50c = x

number of 20c = y

total coins 40

x +y = 40 ------(1)

0.5x + 0.2y = 16.10 ------(2)

from (1) => x = 40 - y

substitute x in (2)

0.5(40 -y) + 0.2y = 16.10

20 - 0.5y + 0.2y = 16.10

-0.3y = -3.9

y = 13

from (1) => x = 27

Answer: number of 50c = 27 coins

Answer:

"$164000" is the appropriate answer.

Step-by-step explanation:

Let the selling price be "s".

As per the question,

If Jane take 5.5% of selling price i.e.,

= [tex]0.055\times s[/tex]

Given commission,

= $9,020

then,

The selling price will be:

⇒ [tex]0.055\times s=9020[/tex]

                [tex]s=\frac{9020}{0.055}[/tex]

                   [tex]=164000[/tex] ($)    

Answer:

The appropriate set of hypothesis for his significance test is null hypothesis [tex]H_0: p = 0.06[/tex] and alternate hypothesis [tex]H_1: p \neq 0.06[/tex]

Step-by-step explanation:

Elliot read a report from a previous year saying that 6%, percent of adults in his city biked to work. He wants to test whether this proportion has changed.

At the null hypothesis we test if the proportion is still the same, that is, of 6%. So

[tex]H_0: p = 0.06[/tex]

At the alternate hypothesis, we test if the proportion has changed, that is, it is different of 6%. So

[tex]H_1: p \neq 0.06[/tex]

What is an appropriate set of hypotheses for his significance test?

The appropriate set of hypothesis for his significance test is null hypothesis [tex]H_0: p = 0.06[/tex] and alternate hypothesis [tex]H_1: p \neq 0.06[/tex]

CORRECT (SELECTED)

z=\dfrac{0.1-0.06}{\sqrt{\dfrac{0.06(0.94)}{240}}}z=

240

0.06(0.94)

​

​

0.1−0.06

​

Answer: 360

Step-by-step explanation:

12 packages * 35 cards = 420 total cards.

1/7 of 420 = 420 * 1/7 = 60

if 60 cards were pitchers, then 420-60 = 360 cards were batters

Answer:

[tex]\sigma_x= 1.75\%[/tex]

Step-by-step explanation:

Given

[tex]n = 64[/tex]

[tex]\mu = 78\%[/tex]

[tex]\sigma = 14\%[/tex]

Required

The sample standard deviation

This is calculated as:

[tex]\sigma_x= \frac{\sigma}{\sqrt n}[/tex]

This gives:

[tex]\sigma_x= \frac{14\%}{\sqrt {64}}[/tex]

[tex]\sigma_x= \frac{14\%}{8}[/tex]

[tex]\sigma_x= 1.75\%[/tex]

Answer:

Step-by-step explanation:

You would get the probability of double sixes as:

Correct choice is A

The Robin because there are 36 outcomes and only one is (6, 6) is the correct option.

We have given that,

Robin, Steven, and John are comparing tree diagrams for rolling double sixes on two six-sided number cubes (6, 6).

Robin thinks the probability is 136 based on the tree diagram they created.

Steven disagrees and argues that the probability of rolling double sixes is 16.

John counts twelve outcomes and claims the probability is 112.

The formula to calculate the probability of an event is as follows. Probability(Event) = Favorable Outcomes/Total Outcomes

You would get the probability of double sixes as:

P(6, 6) = 1/6*1/6 = 1/36

Correct choice is A.

Therefore the Robin, because there are 36 outcomes and only one is (6, 6).

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Answer:

12 + 1/10x

that would be the expression

Step-by-step explanation:

Answer:

15°

Step-by-step explanation:

All angles in an equilateral triangle are equal.

Angle sum property of triangle = 180°

<1 + <2 + <3 = 180°

<1 = <2 = <3 = 60°

4y = 60

y = 60/4

y = 15°

Answer:

the common denominator of those two fraction is 15.

Answer:

B

Step-by-step explanation:

Sjdxdbnjenide because x029w09

Answer:

Since both [tex]np \geq 10[/tex] and [tex]n(1-p) \geq 10[/tex], you can use a normal distribution to approximate the binomial distribution.

The mean is of 11.1 and the standard deviation is of 2.64.

Step-by-step explanation:

Binomial probability distribution

Probability of exactly x successes 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]

Using the normal distribution to approximate the binomial distribution.

This is possible if:

[tex]np \geq 10, n(1-p) \geq 10[/tex]

A survey of U.S. adults found that 37% have been to court. You randomly select 30 U.S.

This means that [tex]p = 0.37, n = 30[/tex]

Test if it is possible:

[tex]np = 30*0.37 = 11.1[/tex]

[tex]n(1-p) = 30*0.63 = 18.9[/tex]

Since both [tex]np \geq 10[/tex] and [tex]n(1-p) \geq 10[/tex], you can use a normal distribution to approximate the binomial distribution.

Mean and standard deviation:

[tex]E(X) = np = 30*0.37 = 11.1[/tex]

[tex]\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{30*0.37*0.63} = 2.64[/tex]

The mean is of 11.1 and the standard deviation is of 2.64.

Answer: 4.09

Step-by-step explanation:

4.09142857 rounded to the nearest hundredth is: 4.09

Answer:

Manuel owns 5 DVDS

Step-by-step explanation:

3/5 = 12/20

12 - 7 = 5

you watch seven deadly sins?

Answer:

Step-by-step explanation:

Both of the triangles are special 30-60-90 triangles

and the side lenghts for these angle mesurements are followed : q, q√(3),2q

q is given as 3 from the 9th question

so a = 6 (because it's 2q) and

b = 3

For the 10th question

the side length that sees 30 degrees is 3 which means q = 3 again

and x = 6

y = 3√(3)

Answer:

12

Step-by-step explanation:

The range is the difference from the greatest data point and the least data point. By looking at the box plot, the lowest value would be 0 while the highest would be 12. You use the definition of range to find it:

12 - 0 = 12

Answer:

What's the key difference between the t- and z-distributions? The standard normal or z-distribution assumes that you know the population standard deviation. The t-distribution is based on the sample standard deviation.

The major difference between a hypothesis test with the t statistic formula and the test with a z‐ score is,

⇒  You must know the population variance (or standard deviation) for the z‐score but not for the t statistic.

Standard deviation is the measure of dispersed the data is in relation to the mean. Low standard deviation means data are clustered around the mean, and high standard deviation indicates data are more spread out.

We have to given that;

To find the major difference between a hypothesis test with the t statistic formula and the test with a z‐ score.

Now, We know that;

The major difference between a hypothesis test with the t statistic formula and the test with a z‐ score is the population variance (or standard deviation) for the z‐score but not for the t statistic.

Thus, The major difference between a hypothesis test with the t statistic formula and the test with a z‐ score is,

⇒  You must know the population variance (or standard deviation) for the z‐score but not for the t statistic.

Learn more about the standard deviation visit:

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Answer:

47 squares

Step-by-step explanation:

Looking at your question was quite confusing.

So, I'll assume that you're looking for the amount of squares that can fit within the specified area.

To find area: we would do A = L x W

So, our values are 21W and 9L.

Plug it in.

A = 21 x 9

A = 189 square meters

Then, we would find the number of squares that could fit in the area.

A square meter is a square with a side length of 1 meter on each side.

So, 1 x 4 = 4

Divide 189 by 4.

189/4 = 47.25

1/4 is the remainder.

So, our total is 47 squares.

Do please, tell me if I did it incorrectly, since the context is quite vague.