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choli [55]
4 years ago
6

Solve the following system of equations algebraically 3x-y=0 5x+2y=22

Mathematics
1 answer:
Lyrx [107]4 years ago
3 0

3x  -  y  = 0     ⇒   2(3x  -  y  = 0 )   ⇒   6x - 2y = 0

5x + 2y = 22  ⇒   1(5x + 2y = 22)   ⇒   <u>5x + 2y</u> = <u>22 </u>

                                                              11x         = 22

                                                                x          = 2

3x  -  y  = 0   ⇒   3(2) - y = 0   ⇒   6 - y = 0   ⇒   6 = y

Answer: x=2, y=6

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22% of all resumes received by a corporation for a management position are from females. 18 resumes will be received tomorrow.
Vladimir79 [104]

Answer:

5.80% probability that exactly 1 resume will be from females.

Step-by-step explanation:

For each resume received by the corporation, there are only two possible outcomes. Either they are from a female, or they are not. The probability of a resume received being from a female is independent from other resumes. So 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.

22% of all resumes received by a corporation for a management position are from females.

This means that p = 0.22

18 resumes will be received tomorrow.

This means that n = 18

What is the probability that exactly 1 resume will be from females?

This is P(X = 1).

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

P(X = 1) = C_{18,1}.(0.22)^{1}.(0.78)^{17} = 0.0580

5.80% probability that exactly 1 resume will be from females.

3 0
3 years ago
Solve the formula d = st for s
Delvig [45]

Answer: s = \frac{d}{t}

Step-by-step explanation:

You want to isolate s which means get it by itself. So all you gotta do is divide both sides by t

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A 56-inch Woman cast a shadow that is 16 inches long. How tall is her child if his shadow is 14 inches long?
nikitadnepr [17]

Answer:49

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6 0
3 years ago
Given a triangle with: a =<br> 150, A = 75°, and C = 30°<br> Using the law of sines gives: c = 0
koban [17]

Answer:

c = 77.6

Step-by-step explanation:

You may have entered the measure of a side as the measure of an angle.

\dfrac{\sin A}{a} = \dfrac{\sin C}{c}

\dfrac{\sin 75^\circ}{150} = \dfrac{\sin 30^\circ}{c}

c\sin 75^\circ = 150 \sin 30^\circ

c = \dfrac{150 \sin 30^\circ}{\sin 75^\circ}

c = 77.6

You are correct. Good job!

5 0
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