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lyudmila [28]
2 years ago
6

A rectangle tabletop has an area of 28 1/8 square feet and a length of 6 1/4 feet. What is the width of the tabletop?

Mathematics
2 answers:
laila [671]2 years ago
7 0

Using the formula

A=wl

Solving for w

w=A

l=28

6≈4.66667 or 4.67

hope it helps! :3

Also, I want to point out the fact that your profile picture is Todoroki. I love him. He is my favorite character in mha. It is nice to meet a fellow fan. Especially since I had to deal with my friend saying the show sucks...

tatuchka [14]2 years ago
4 0
I believe it’s 4 1/2 . Sorry if I’m wrong
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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
An object is launched from ground level with an initial velocity of 120 meters per second. For how long is the object at or abov
babunello [35]

Answer:

D) 14 seconds

Step-by-step explanation:

First we will plug 500 in for y:

500 = -4.9t² + 120t

We want to set this equal to 0 in order to solve it; to do this, subtract 500 from each side:

500-500 = -4.9t² + 120t - 500

0 = -4.9t²+120t-500

Our values for a, b and c are:

a = -4.9; b = 120; c = -500

We will use the quadratic formula to solve this.  This will give us the two times that the object is at exactly 500 meters.  The difference between these two times will tell us when the object is at or above 500 meters.

The quadratic formula is:

x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}

Using our values for a, b and c,

x=\frac{-120\pm \sqrt{120^2-4(-4.9)(-500)}}{2(-4.9)}\\\\=\frac{-120\pm \sqrt{14400-9800}}{-9.8}\\\\=\frac{-120\pm \sqrt{4600}}{-9.8}\\\\=\frac{-120\pm 67.8233}{-9.8}\\\\=\frac{-120+67.8233}{-9.8}\text{ or }\frac{-120-67.8233}{-9.8}\\\\=\frac{-57.1767}{-9.8}\text{ or }\frac{-187.8233}{-9.8}\\\\=5.3242\text{ or }19.1656

The two times the object is at exactly 500 meters above the ground are at 5 seconds and 19 seconds.  This means the amount of time it is at or above 500 meters is

19-5 = 14 seconds.

6 0
3 years ago
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Answer:

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Dahasolnce [82]

Answer:

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Step-by-step explanation:

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This formula was found by taking the formula for the volume of a cylinder and solving for h, or height. Knowing that V is 126 and the radius is 6, we can plug in our known variables in order to solve for h.

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Answer:

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Step-by-step explanation:

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