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myrzilka [38]
3 years ago
8

Choose the system of equations which matches the following graph:

Mathematics
1 answer:
aleksandr82 [10.1K]3 years ago
4 0
The coordinates give are
(0,6)
(4,9)

(3,6)
(2,3)

These points can be substituted into the systems of equation in the choices and inspect which equations satisfy the value of the points. Doing this, the answer is
3x - 4y = -24
3x - y = 3
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An important problem encountered by personnel directors and others faced with the selection of the best in a finite set of eleme
SVETLANKA909090 [29]

Answer:

1.63% probability that the 10 selected include include all the best 5 engineers in the group of 20

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

The order in which the engineers are selected is not important, so the combinations formula is used to solve this question.

Combinations formula:

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)!}

Desired outcomes:

10 engineers selected from a set of 20.

5 best, from a set of 5.

Other 5, from a set of 20-5 = 15.

D = C_{5,5}*C_{15,5} = \frac{5!}{5!(5-5)!}*\frac{15!}{5!(15-5)!} = 3003

Totao outcomes:

10 engineers selected from a set of 20.

T = C_{20,10} = \frac{20!}{10!(20-10)!} = 184756

Probability:

p = \frac{D}{T} = \frac{3003}{184756} = 0.0163

1.63% probability that the 10 selected include include all the best 5 engineers in the group of 20

5 0
3 years ago
Complete the inequality statement with the symbol that makes it true.<br> 28.005_28.05
Veronika [31]

Answer:

<

Step-by-step explanation:

5/1000 is a smaller value than 5/100

3 0
3 years ago
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
What is 2 x 10 to the -6th power?
White raven [17]

Answer:

2 x 10 to the -6th power is .000002.

3 0
3 years ago
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12 - (-4) = ? AND how do I solve it?
iVinArrow [24]
48, multiply -1 by -4 then multiply 4 by 12
PEMDAS
6 0
3 years ago
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