The measure of each exterior angle of a regular polygon is 18. find the number of sides in the polygon

1 answer:

3 0

The sum of all exterior angles for every shape is 360 so just divide 360 by the measurement of one exterior angle (18) to get 20

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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

The vertex of this parabola is at (-4,-1).When the y-value is 0,the x-value is 2.What is the coefficient of the squared term in

densk [106]

Answer:

1/36

Step-by-step explanation:

When the coefficient is 1, the function has zeros at -3 and -5, one horizontal unit from the vertex. You want to move the zero to (2, 0), which is 6 units from the vertex. To achieve a horizontal stretch by a factor of 6, the value of x in the function must be replaced by x/6. That would make the coefficient of x^2 be (1/6)^2 = 1/36.

The coefficient of the squared term is 1/36.