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3 years ago

Find The Missing Term.

2 answers:

wel3 years ago

5 0

Hey!
So the number between needs to be the same number away from 23 and 49. 18 is less than 23 and 49 but we need a number between 23 and 49, so thats a no. same with 72.
Now we are left with 36 and 29.5.
well 29.5 is 6.5 points away from 23 but it is 19.5 points away from 49. So thats a no too because the difference is not the same.
now 36 is 13 away from 23 and also 13 away from 49 and the difference is the same
So the answer is C!
Hope this helps!

nikitadnepr [17]3 years ago

4 0

Remark
You can use the average for this question.

Formula
Average = (x1 + x2) / 2

Givens
x1 = 23
x2 = 49

Substitute and solve.
Average = (23 + 49)/2
Average = (72) / 2
Average = 36

Answer: C

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Please answer with steps shown. Thanks!

maks197457 [2]

Answer: q = 40

Step-by-step explanation:

Given the quadratic formula as

x = [-b +/-√(b^2 -4ac)]/2a

b = -14

a = 1

c = q

Difference d between the two roots.

d = [-b + √(b^2 -4ac)]/2a - [-b -√(b^2 -4ac)]/2a

d = 2√(b^2 -4ac)/2a

d = √(b^2 -4ac)/a

And d = 6

Substituting the values of a,b and c. We have;

6 = √[(-14^2) - (4×1×q)]

Square both sides

6^2 = 196 - 4q

4q = 196 - 36

q = 160/4

q = 40

The equation becomes

x^2 - 14x + 40 = 0

3 0

4 years ago

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

Find the equation of the line with slope = -8 and passing through (-2,12). Write your equation in the

scoundrel [369]

Answer:

y=-8x-4

Step-by-step explanation: