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Strike441 [17]
3 years ago
12

a rectangular prism is 12 inches long, 6 inches wide and 10 inches tall. what is the length of it's longest diagonal?

Mathematics
1 answer:
dusya [7]3 years ago
7 0

Answer:

15.620

Step-by-step explanation:

use pythagorean theorm :)

(the 6 is pointless for this problem)

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The sum of three numbers is 132 . the third number is 7 less than the first. the second number is 3 times the third. what are th
katovenus [111]
X+y+z = 132
x = 7+z
y = 3z

(7+z)+3z+z = 132
5z = 132-7
z = 125/5

z = 25 <=====

x = 7+z
x = 7 + 25
x = 39 <=====

y = 3z
y = 3 × 25
y = 75 <=====

hope it helps :)

8 0
3 years ago
Ill mark brainlist plss help
iVinArrow [24]

Answer:

35

Step-by-step explanation:

35 : 14 = 5 : 2

7 0
3 years ago
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olya-2409 [2.1K]
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3 years ago
After being rejected for employment, Kim Kelly learns that the Bellevue Credit Company has hired only three women among the last
mixer [17]

Answer:

0.00071 = 0.71% probability of getting three or fewer women when 21 people are hired. This probability, which is very small, supports the charge of gender discrimination.

Step-by-step explanation:

For each employee hired, the are only two possible outcomes. Either it is a man, or it is a woman. The probability of a person hired being a man or a woman is independent of any other person. This means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

21 new employees.

This means that n = 21

She also learns that the pool of applicants is very large, with an approximately equal number of qualified men as qualified women.

This means that p = 0.5

Help her address the charge of gender discrimination by finding the probability of getting three or fewer women when 21 people are hired.

This is

P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{21,0}.(0.5)^{0}.(0.5)^{21} \approx 0

P(X = 1) = C_{21,1}.(0.5)^{1}.(0.5)^{20} = 0.00001

P(X = 2) = C_{21,2}.(0.5)^{2}.(0.5)^{19} = 0.0001

P(X = 3) = C_{21,3}.(0.5)^{3}.(0.5)^{18} = 0.0006

P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0 + 0.00001 + 0.0001 + 0.0006 = 0.00071

0.00071 = 0.71% probability of getting three or fewer women when 21 people are hired. This probability, which is very small, supports the charge of gender discrimination.

8 0
3 years ago
Solve and graph<br><br> 1. 3x-7&gt;5<br><br> 2. -1y&lt;3
tekilochka [14]

Answer:

1. x>4

2.y>-3

7 0
3 years ago
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