Find the value of x. X = ?

DONE ASAP PLZ!!!! If the volume of a sphere is represented by the equation V= 4/3πr³. Solve for r. Show work to receive 25 point

den301095 [7]

Answer:

∛V / (4/3π) = r

Step-by-step explanation:

V = 4/3πr³

Try to isolate r if you want to solve for it.

So divide everything that's not r from the right side in order to move it to the left side of the equation.

V / (4/3π) = r³

Then since it is raised to the power of 3 , just cube root the other side in order to undo the exponent. This is so you can isolate r.

∛(V/(4/3π)) = r

3 0

3 years ago

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

3 years ago

In January, Angelina made one deposit of $90 to her savings account and made 3 withdrawals of $40 each. What was the total chang

Anna71 [15]

So 90 - (40*3) right ?

5 0

4 years ago

Read 2 more answers

How do you measure the perimeter of a shape

Advocard [28]

Perimeter is a measure of the area or distance around a two-dimensional shape. On a rectangle, for instance, the perimeter is the total length of the rectangle's outline, including the two widthwise borders and the two lengthwise borders.

To determine the perimeter of a shape, therefore, you add together all the dimensions that make up the shape's outer edge. Being able to find the perimeter of a shape has many applications in the real world. Say, for example, that you wanted to build a fence around your backyard. In order to purchase materials, you need to know how much fencing you'll need, and to determine that you have to figure out the perimeter of the area you want to fence in.

8 0

3 years ago

What is the axis of symmetry for f(x) = 2x2 - 8x + 8? Ox = -2 Ox=-3 Ox=3 Ox=2

zepelin [54]

Answer:

x = 2

Step-by-step explanation:

For quadratic ax^2 +bx +c, the axis of symmetry is x = -b/(2a).

Here, we have a=2, b=-8, so the axis of symmetry is ...

x = -b/(2a) = -(-8)/(2(2)) = 8/4

x = 2

5 0

4 years ago

Find the value of x. X = ?​

Find the value of x. X = ?