A homeowner has decided to fill in

Someone please help

vodomira [7]

Answer:

the probability that the member is neither a doctor not a lawyer is 60%

Step-by-step explanation:

Total: 60 members

Doctor: 15

Lawyer: 9

Lawyer + Doctor: 15 + 9 = 24

60 - 24 = 36 members are neither

36 / 60 = 0.6 x 100 = 60

6 0

2 years ago

You are interested in estimating the the mean age of the citizens living in your community. In order to do this, you plan on con

AlladinOne [14]

Using the z-distribution, a sample size of 180 is needed for the estimate.

<h3>What is a z-distribution confidence interval?</h3>

The confidence interval is:

$\overline{x} \pm z\frac{\sigma}{\sqrt{n}}$

The margin of error is given by:

$M = z\frac{\sigma}{\sqrt{n}}$

In which:

$\overline{x}$ is the sample mean.

z is the critical value.

n is the sample size.

$\sigma$ is the standard deviation for the population.

In this problem, we have a 98% confidence level, hence $\alpha = 0.98$ , z is the value of Z that has a p-value of $\frac{1+0.98}{2} = 0.99$ , so the critical value is z = 2.327.

The population standard deviation is of $\sigma = 23$ , and to find the sample size, we have to solve for n when M = 4.

Hence:

$M = z\frac{\sigma}{\sqrt{n}}$

$4 = 2.327\frac{23}{\sqrt{n}}$

$4\sqrt{n} = 2.327 \times 23$

$\sqrt{n} = \frac{2.327 \times 23}{4}$

$(\sqrt{n}) = \left(\frac{2.327 \times 23}{4}\right)^2$

n = 179.03.

Rounding up, as a sample size of 179 would result in an error slightly above 4, a sample of 180 is needed.

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

#SPJ1

8 0

2 years ago

Mark has $18.00. What is the greatest number of days he can rent a bicycle? 2d=18 where d represents the number of days of the r

aksik [14]

Answer:

9

Step-by-step explanation:

9x2 is 18, so he can rent a bike for nine days if the rent is $2

6 0

3 years ago

A hemispherical tank is filled with water and has a diameter of 6 feet. If water weighs 62.4 pounds per cubic foot, what is the

masha68 [24]

Answer:

The total weight of the water in a full tank, to the nearest pound is 3527 pounds per cubic foot

Step-by-step explanation:

Given:

Diameter of the hemispherical tank = 6 feet

Weight of water per cubic foot = 62. 4 pounds

To Find:

The total weight of the water in a full tank, to the nearest pound?

Solution:

We know that the volume of a sphere is:

$V =\frac{4}{3}\pi r^3$

where

r = is the radius

In the question we are given with diameter,

So

$radius = \frac{diameter}{2}$

radius = $\frac{6}{2}$

Radius = 3

We need the volume of the hemisphere

So the volume of the hemisphere will be half of the volume of teh sphere

$\frac{V}{2} = \frac{2}{3}\pi r^3$

Thus the volume of the hemisphere is

$V =\frac{2}{3} \pi r^3$

Now substituting the values

$V = \frac{2}{3} \pi(3)^3$

$V = \frac{2}{3}\pi(27)$

$V = \frac{54 \pi}{3}$

$V = \frac{169.56}{2}$

V= 56.52 cubic foot

Now, the total weight of water of:

W = 56.52 x 62.4

W= 3526.848 pounds per cubic foot

To the nearest pounds

W= 3527 pounds per cubic foot

5 0

3 years ago

Umm hiii i need friends lol

Elis [28]

... me too. (╯▽╰ ) －O－

8 0

3 years ago

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