Which function is represented by this graph?

Several years ago, 50% of parents who had children in grades K-12 were satisfied with the quality of education the students r

galina1969 [7]

Answer:

The 95% confidence interval for the proportion of parents that are satisfied with their children's education is (0.4118, 0.4618). 0.5 is not part of the confidence interval, so this represents evidence that parents' attitudes toward the quality of education have changed.

Step-by-step explanation:

We have to see if 50% = 0.5 is part of the confidence interval.

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

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

For this problem, we have that:

$n = 1095, \pi = \frac{478}{1095} = 0.4365$

95% confidence level

So $\alpha = 0.05$ , z is the value of Z that has a pvalue of $1 - \frac{0.05}{2} = 0.975$ , so $Z = 1.96$ .

The lower limit of this interval is:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.4365 - 1.96\sqrt{\frac{0.4365*0.5635}{1095}} = 0.4118$

The upper limit of this interval is:

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.4365 + 1.96\sqrt{\frac{0.4365*0.5635}{1095}} = 0.4612$

The 95% confidence interval for the proportion of parents that are satisfied with their children's education is (0.4118, 0.4618). 0.5 is not part of the confidence interval, so this represents evidence that parents' attitudes toward the quality of education have changed.

5 0

2 years ago

What is the circumference of the following circle? 9 cm

liq [111]

Answer:

9π or 28.27 cm

Step-by-step explanation:

The circumference formula is 2πr or dπ. The diameter is 9 cm so we multiply 9 with pi to get the answer.

7 0

3 years ago

Jamie wants to build a rectangular fence around a new garden. He can afford at most 70

KonstantinChe [14]

Option B is correct. Yes, (9, 22) is a solution to the inequalities and the measurements will fit in the space.

The formula for calculating the perimeter of the rectangular fence is expressed as:

A = 2(L + W) where:

L is the length

W is the width

If Jamie can afford at most 70feet to build a rectangular fence is expressed as:

2L + 2W ≤ 70

We are to check if the garden measure 9 feet by 22 feet. To do this we are to substitute L = 9 and W = 22 into the formula to check if the result will be less than 70

On substituting:

= 2(9) + 2(22)

= 18 + 44

= 62 feet

Since 63 feet is less than 70 feet, hence we can conclude that Yes, (9, 22) is a solution to the inequalities and the measurements will fit in the space.

Learn more here: brainly.com/question/17229451

8 0

2 years ago

Ants have 6 legs. Elena and Andre write equations showing the proportional relationship between the number of ants, a, to the nu

Vlad [161]

Answer:

I agree with Elena

Step-by-step explanation:

Ants have 6 legs. Elena and Andre write equations showing the proportional relationship between the number of ants, a, to the number of ant legs, v.

Elena writes a = 6 times v

Andre writes v =1/6 times a.

Mathematically

The number of ants a is directly proportional to the number of legs

=a ∝ v

Because if

1 ant = 6 legs

2 ants = x legs

x = 6 legs × 2

x = 12 legs

The number of ants is directly proportional to the number of legs

Therefore, Elena is correct and Andre is wrong.

8 0

3 years ago

What is the greatest common factor for 96 and 64

Irina18 [472]

The greatest common factor of 96 and 64 is 32

3 0

3 years ago

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