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3 years ago

What is the volume of the right prism? _____ ft3

1 answer:

8 0

The volume<span> of a triangular </span>prism<span> can be found by multiplying the base times the height. I would be glad to answer the question if you gave me some reference numbers to plug into the formula to get the volume for you.</span>

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11x - 3 + 4x greater than or equal to 142 1/2

oksian1 [2.3K]

Answer:

x > or equal to 9.7

Step-by-step explanation:

Don't let the inequality intimidate you. Treat the > or equal sign like it is an equal sign.

Any thing you do on the right you must do on the left.

move 3 to other side

combine like terms

15x > or equal to 145.5

Divide both sides by 15

x > or equal to 9.7

4 0

2 years ago

We would like to create a confidence interval.

Vlada [557]

Answer:

c.A 90% confidence level and a sample size of 300 subjects.

Step-by-step explanation:

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

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

In which

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

In this problem

The proportions are the same for all the options, so we are going to write our margins of error as functions of $\sqrt{\pi(1-\pi)}$

a.A 99% confidence level and a sample size of 50 subjects.

$n = 50$

99% confidence interval

So $\alpha = 0.01$ , z is the value of Z that has a pvalue of $1 - \frac{0.01}{2} = 0.995$ , so $Z = 2.575$ .

The margin of error is

$M = z\sqrt{\frac{\pi(1-\pi)}{n}} = \frac{2.575}{\sqrt{50}}\sqrt{\pi(1-\pi)} = 0.3642\sqrt{\pi(1-\pi)}$

b.A 90% confidence level and a sample size of 50 subjects.

$n = 50$

90% confidence interval

So $\alpha = 0.1$ , z is the value of Z that has a pvalue of $1 - \frac{0.1}{2} = 0.95$ , so $Z = 1.645$ .

The margin of error is

$M = z\sqrt{\frac{\pi(1-\pi)}{n}} = \frac{1.645}{\sqrt{50}}\sqrt{\pi(1-\pi)} = 0.2623\sqrt{\pi(1-\pi)}$

c.A 90% confidence level and a sample size of 300 subjects.

$n = 300$

90% confidence interval

So $\alpha = 0.1$ , z is the value of Z that has a pvalue of $1 - \frac{0.1}{2} = 0.95$ , so $Z = 1.645$ .

The margin of error is

$M = z\sqrt{\frac{\pi(1-\pi)}{n}} = \frac{1.645}{\sqrt{300}}\sqrt{\pi(1-\pi)} = 0.0950\sqrt{\pi(1-\pi)}$

This produces smallest margin of error.

d.A 99% confidence level and a sample size of 300 subjects.

$n = 300$

99% confidence interval

So $\alpha = 0.01$ , z is the value of Z that has a pvalue of $1 - \frac{0.01}{2} = 0.995$ , so $Z = 2.575$ .

The margin of error is

$M = z\sqrt{\frac{\pi(1-\pi)}{n}} = \frac{2.575}{\sqrt{300}}\sqrt{\pi(1-\pi)} = 0.1487\sqrt{\pi(1-\pi)}$

6 0

3 years ago

Two parallel lines are cut by a transversal such that two alternate interior angles are formed. If one of the angles is 72 degre

levacccp [35]

Answer:

x=18

Step-by-step explanation:

5x+2=72

-2 -2

5x=70

---------

x=18

3 0

2 years ago

What is the solution of the system.. explain what it means in the solution

UNO [17]

Answer:

The solution is (4,250)

Step-by-step explanation:

This means that when a member of either gym (A or B) signs up for a four-month membership, they pay the same amount - $250. Hope this helps :)

5 0

2 years ago

Voting An appropriations bill passes the U.S. House of Representatives with 49 more members voting in favor than against. If all

sukhopar [10]

Answer:

242 members voted in favor while 193 members voted against

Step-by-step explanation:

Let those that voted against be x will those in favor will be (x+49)

Since today number of voters is 435

To find x

X + (x+49) = 435

2x + 49 = 435

2x = 435 - 49

2x = 386

X = 386/2

X = 193

Therefore, those against is 193 while this in favor is 193+49 = 242

6 0

2 years ago