How do i evaluate 16^0.25 ?

There are big spenders among University of Alabama football season ticket holders. This data set Roll Tide!! shows the dollar am

Bas_tet [7]

Using the z-distribution, as we have a proportion, the 95% confidence interval is (0.2316, 0.3112).

<h3>What is a confidence interval of proportions?</h3>

A confidence interval of proportions is given by:

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

In which:

$\pi$ is the sample proportion.

z is the critical value.

n is the sample size.

In this problem, we have a 95% confidence level, hence $\alpha = 0.95$ , z is the value of Z that has a p-value of $\frac{1+0.95}{2} = 0.975$ , so the critical value is z = 1.96.

We also consider that 130 out of the 479 season ticket holders spent $1000 or more at the previous two home football games, hence:

$n = 479, \pi = \frac{130}{479} = 0.2714$

Hence the bounds of the interval are found as follows:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2714 - 1.96\sqrt{\frac{0.2714(0.7286)}{479}} = 0.2316$

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2714 + 1.96\sqrt{\frac{0.2714(0.7286)}{479}} = 0.3112$

The 95% confidence interval is (0.2316, 0.3112).

More can be learned about the z-distribution at brainly.com/question/25890103

7 0

2 years ago

Value of p,q and r if (2^p)*(3^q)*(7^r)=1176

koban [17]

Answer:

p=3 , q=1 , r=2

Step-by-step explanation:

1176=2*2*2*3*7*7

1176=(2^3)*(3^1)*(7^2)

given that 1176 = (2^p)*(3^q)*(7^r)

Comparing Equation 1 & 2

we get p=3 , q=1, r=2

5 0

3 years ago

Find the area of the circle.

juin [17]

Answer:

See Explanation Below

Step-by-step explanation:

Your question isn't clear; However, I'll solve in two ways

1. Diameter = 14 cm

2. Radius = 14 cm

<em>When Diameter = 14 cm</em>

Given

$Area = \pi r^2$

$Diameter = 14cm$

Required

Calculate the area of the circle

First, the radius has to be solved;

$Radius = \frac{1}{2} Diameter$

$Radius = \frac{1}{2} * 14cm$

$Radius = 7cm$

Using the given formula;

The area is as follows

$Area = \pi r^2$

$Area = 3.14 * 7^2$

$Area = 3.14 * 49$

$Area = 153.86cm^2$

<em>When Radius = 14 cm</em>

Given

$Area = \pi r^2$

$Radius = 14cm$

Required

Calculate the area of the circle

Using the given formula;

The area is as follows

$Area = \pi r^2$

$Area = 3.14 * 14^2$

$Area = 3.14 * 196$

$Area = 615.44cm^2$

7 0

3 years ago

12/19*.............................= -12/19

melamori03 [73]

Answer:

$\frac{12}{19} \times \underline{\bold{-1}} = -\frac{12}{19}$

Step-by-step explanation:

$\frac{12}{19} \times ..... = -\frac{12}{19}$

= $\frac{\frac{12}{19}}{-\frac{12}{19}}$

= $\frac{12}{19} \times -\frac{19}{12}$

= $-\frac{228}{228}$

= $\bold{-1}$

So, the appropriate value to complete it is -1

#CMIIW ^^

3 0

3 years ago

Which of the following numbers is closest to 1?

Mademuasel [1]

D------------------------

5 0

3 years ago

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