These types of building blocks are an energy source.

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

A bathtub is the shape of a rectangular prism. The dimensions are 5 1/2 ft times 2 1/2 ft times 2 3/4 ft. What is the volume of

Sav [38]

Answer:

$37 \frac{13}{16} ft^3$

Step-by-step explanation:

A rectangular prism is also know as a cuboid.

The dimensions of the rectangular prism shaped bath tub are 5½ ft * 2½ ft * 2¾ ft.

The volume of a cuboid (rectangular prism) is given as:

V = L * B * H

Hence, the volume of the bath tub is:

V = 5½ * 2½ * 2¾

V = 11/2 * 5/2 * 11/4

V = 605 / 16 = $37 \frac{13}{16} ft^3$

The volume of the bath tub is $37 \frac{13}{16} ft^3$

5 0

2 years ago

Complete the square to transform the quadratic equation into the form (x – p)2 = q.

ryzh [129]

The transformed equation is:

$(x-3)^2 = 23$

Step-by-step explanation:

We have to convert the equation in the form

$(x-p)^2 = q$

Given equation is:

$x^2-6x-8 = 6$

Adding 8 on both sides

$x^2-6x-8+8 = 6+8\\x^2-6x = 14$

In the given equation

a = x

b= ?

So,

$2.x.b = 6x\\b =\frac{6x}{2x}\\b = 3\\$

So 3^2 will be added on both sides

$(x)^2-6x+ (3) = 14+ (3)^2\\(x-3)^2 = 14+9\\(x-3)^2 = 23$

Hence,

The transformed equation is:

$(x-3)^2 = 23$

Keywords: Quadratic equation, transformation

Learn more about quadratic equation at:

#LearnwithBrainly

7 0

3 years ago

The hockey team played 82 regular season games last year. If they won 44 games, what is the ratio of wins to losses?

lina2011 [118]

Answer:

22:19

Step-by-step explanation:

Matches lose=82-44

=38

ratio=44:38

=22:19

5 0

3 years ago

Read 2 more answers

Please answer this now in two minutes

Xelga [282]

Answer:

17.5

Step-by-step explanation:

The following data were obtained from the question:

Angle R = 105°

Side R = r

Side S = 15

Side T = 6

The value of r can be obtained by using cosine rule formula as shown below:

inding sides:

r² = s²+ t² – 2st cos(R)

r² = 15² + 6² – 2 × 15 × 6 × cos105°

r² = 225 + 36 – 180 × cos105°

r² = 261 + 46.587

r² = 307.587

Take the square root of both side

r = √307.587

r = 17.5

Therefore, the value of r is 17.5

7 0

3 years ago