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3 years ago

How many cubic feet of dirt are there in a hole 2 yards wide and 3 yards long and 4 yards deep

Mathematics

1 answer:

Ostrovityanka [42]3 years ago

5 0

Answer:

The volume of the rectangular prism is 24yd³

Step-by-step explanation:

We need to think of the hole as a rectangular base prism

To calculate the volume of a rectangular prism we have to use the following formula:

v = volume

w = width

l = length

h = height

v = w * h * l

we replace the values that we know

v = 2yd * 3yd * 4ft

v = 24yd³

The volume of the rectangular prism is 24yd³

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Of the population of all fruit flies we wish to give a 90% confidence interval for the fraction which possess a gene which gives

Eva8 [605]

Answer:

The margin of error for the 90% confidence interval is of 0.038.

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 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 $1 - \frac{\alpha}{2}$ .

The margin of error is of:

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

To this end we have obtained a random sample of 400 fruit flies. We find that 280 of the flies in the sample possess the gene.

This means that $n = 400, \pi = \frac{280}{400} = 0.7$

90% confidence level

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

Margin of error:

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

$M = 1.645\sqrt{\frac{0.7*0.3}{400}}$

$M = 0.038$

The margin of error for the 90% confidence interval is of 0.038.

8 0

3 years ago

There are 2 cups in one pint how many cups are in 5 pints

olga nikolaevna [1]

There will be 10 cups in 5 pints because it went by to 5x2=10 and there is 2 cups so its 5 in 2 cups = 10
hoped this helped.

7 0

3 years ago

Bob spent $78,475 on supplies to build a house. The house is 2,150 square

solong [7]

Im pretty sure it’s $36.50 because you divide 78,475 by 2,150

5 0

3 years ago

Read 2 more answers

Rob is saving up to buy a new MP3 player for every $15 he earns babysitting he saves $6. on Saturday rob earned $90 babysitting

AlekseyPX

To get $90 dollars you multiply $15 • 6. So you would multiply $6 • $6

Answer: $36

8 0

3 years ago

Read 2 more answers

The length of a rectangle is 6 cm and its area is (6x+18) Square centimeters what is an expression for the width

Ludmilka [50]

Answer:

x+3

Step-by-step explanation:

(6x+18)/6

Simplify

x+3

7 0

3 years ago