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hram777 [196]
3 years ago
15

a rectangular prism has base edge lengths of 6" and 8". The base edge lengths of a right rectangular prism are 8" and 6". The ba

se of a right triangular prism is a right triangle with perpendicular sides of 24" and 8" long.The height, h in feetof the triangular prism is half the height of the rectuangular prism. The volume of the triangular prism is?
Mathematics
1 answer:
FromTheMoon [43]3 years ago
8 0

Answer:

Step-by-step explanation:

The heights of neither the rectangular prism nor the triangular prism are given, so we don't know the volume of either.

If h is the height of the rectangular prism, then its volume is

6×8×h = 48

if the height of the triangular prism is h/2, then its volume is

(1/2)×24×8×(h/2) = 48

So we know the volumes are the same -- but we don't know what that volume is.

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Sequences:
joja [24]

Answer:

<u>The sequence is</u>

  • 1, 1 + 2, 1 + 2 + 3, 1  + 2 + 3 + 4, ...

Each term is the sum of the consecutive numbers from 1 to that number.

<u>The nth term is the sum of the first n numbers:</u>

  • aₙ = 1 + 2 + 3 + ... + n
  • aₙ = 1/2n(1 + n) (formula for sum of the n terms of arithmetic progression with the first term of 1 and common difference of 1)
  • aₙ = n(n + 1)/2

1) The number of circles in the nth pile is n(n + 1)/2

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4 0
3 years ago
A ski resort claims that there is a 75% chance of snow on any given day in january and that snowfall happens independently from
lys-0071 [83]

Using the binomial distribution, it is found that the mean and the standard deviation of variable x are given as follows:

\mu = 3, \sigma = 0.87

<h3>What is the binomial probability distribution?</h3>

It is the probability of exactly <u>x successes on n repeated trials, with p probability</u> of a success on each trial.

The expected value of the binomial distribution is:

E(X) = np

The standard deviation of the binomial distribution is:

\sqrt{V(X)} = \sqrt{np(1-p)}

In this problem, we have that the parameters are given as follows:

n = 4, p = 0.75.

Hence the mean and the standard deviation are given as follows:

  • E(X) = np = 4 x 0.75 = 3.
  • \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{4 \times 0.75 \times 0.25} = 0.87

More can be learned about the binomial distribution at brainly.com/question/24863377

#SPJ1

7 0
2 years ago
Martha purchased a car for $17,500. The value of a car decreases by 7% each year.
marishachu [46]

Answer:

9 years = .000000706$

Step-by-step explanation:

convert 7% to decimal 0 .07

17,500 x .07 = 1,225

1 year 1,225

2 year 85.75

3 year 6.0

4 year .42

5 year .029

6 year .002

7 year .000144

8 year .000010088

9 years = .000000706$

6 0
3 years ago
Select the equation that represents the problem let x represent the unknown number
djyliett [7]

Answer:

D

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
A corporation has $125,00 in a bank account on march 1. On april 1, the amount of money in the account decreased by 8%. On may 1
seraphim [82]

Answer:

115,00 thats 8% decrease

7 0
2 years ago
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