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Paul [167]
3 years ago
7

A study conducted at a certain college shows that 72% of the school's graduates find a job in their chosen field within a year a

fter graduation. Find the probability that 5 randomly selected graduates all find jobs in their chosen field within a year of graduating.
Mathematics
2 answers:
topjm [15]3 years ago
7 0

Answer:

  19.3%

Step-by-step explanation:

Assuming the events are independent, the probability of all five is ...

  0.72^5 ≈ 0.19349 ≈ 19.3%

Simora [160]3 years ago
4 0

Answer: 19.3%

Step-by-step explanation:

If we randomly select 5 students, we know that each of them has a probability of 72% of finding a job in that year (or 0.72 in decimal form)

The joint probability in where the 5 of them have found a job, is equal to the product of the 5 probabilities:

P = 0.72*0.72*0.72*0.72*0.72 = 0.72^5 = 0.193

Where because all the students are in the same result, the number of permutations is only one.

If we want the percentage form, we must multiplicate it by 100%, and we have that P = 19.3%

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I need help with this plz
Ksju [112]

Answer:

The correct answer is D. 10.

Step-by-step explanation:

If Brandy earns 2 stars for every goal, and she scored 8 goals, then we need to multiply 8 by 2.

8 x 2 = 16

She looses 1/2 a star for every miss, and she missed the goal 12 times. Therefore, we need to multiply 1/2 by 12.

12 x 1/2 = 6

Therefore, Brandy lost 6 stars.

Now, we need to subtract the amount of stars Brandy earned by the amount that she lost.

16 - 6 = 10

Therefore, the correct answer is D. 10.

Hope this helps! :D

5 0
3 years ago
124 ounces decreased by 67%
slavikrds [6]
40.92 ounces.
You can find it by multiplying 124 by 0.33
8 0
3 years ago
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Prove that :( 1 + 1/<img src="https://tex.z-dn.net/?f=tan%5E%7B2%7DA" id="TexFormula1" title="tan^{2}A" alt="tan^{2}A" align="ab
Aliun [14]

Answer:

See explanation

Step-by-step explanation:

Simplify left and right parts separately.

<u>Left part:</u>

\left(1+\dfrac{1}{\tan^2A}\right)\left(1+\dfrac{1}{\cot ^2A}\right)\\ \\=\left(1+\dfrac{1}{\frac{\sin^2A}{\cos^2A}}\right)\left(1+\dfrac{1}{\frac{\cos^2A}{\sin^2A}}\right)\\ \\=\left(1+\dfrac{\cos^2A}{\sin^2A}\right)\left(1+\dfrac{\sin^2A}{\cos^2A}\right)\\ \\=\dfrac{\sin^2A+\cos^2A}{\sin^2A}\cdot \dfrac{\cos^2A+\sin^A}{\cos^2A}\\ \\=\dfrac{1}{\sin^2A}\cdot \dfrac{1}{\cos^2A}\\ \\=\dfrac{1}{\sin^2A\cos^2A}

<u>Right part:</u>

\dfrac{1}{\sin^2A-\sin^4A}\\ \\=\dfrac{1}{\sin^2A(1-\sin^2A)}\\ \\=\dfrac{1}{\sin^2A\cos^2A}

Since simplified left and right parts are the same, then the equality is true.

3 0
3 years ago
PLEASE HELP!!!
just olya [345]

Answer:

-3(1.5n - 1)

your welcome

3 0
3 years ago
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The hypotenuse of the right triangle is 5y inches long. The lengths of the legs are x + 8 and x + 3 inches. If the perimeter of
Zolol [24]

Answer: 35 inches.

Step-by-step explanation:

We know that:

hypotenuse = 5*y in

cathetus 1 = (x + 8) in

cathetus 2 = (x + 3) in

The perimeter of the triangle is 76 inches, then:

5*y + (x + 8) + (x + 3) = 76

5*y + 2*x + 13 = 76

We also know that the length of the hypotenuse minus the length of the shorter leg is 17 in.

The shorter leg is x + 3, then:

5*y - (x + 3) = 17

Then we have the equations:

5*y + 2*x + 11 = 76

5*y - (x + 3) = 17

With only these two we can solve the system, first we need to isolate one of the variables in one of the equations, i will isolate x in the second equation.

x = 5*y  - 3 - 17 = 5*y - 20

x = 5*y - 20

Now we can replace this in the other equation, we get:

5*y + 2*x + 11 = 76

5*y + 2*(5*y - 20) + 11 = 76

15*y - 40 + 13 = 76

15*y - 29 = 76

15*y = 76 + 29 = 105

and remember that the hypotenuse is equal to 5*y, then we want to get:

3*(5*y) = 105

5*y = 105/3 = 35

5*y = 35

Then te length of the hypotenuse is 35 inches.

6 0
3 years ago
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