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ra1l [238]
3 years ago
5

Least common multiples of 8 and 12

Mathematics
2 answers:
jek_recluse [69]3 years ago
8 0
Least common multiples of 8 and 12 is 24 bc 8 and 12 can evenly be divided into 24
AVprozaik [17]3 years ago
8 0
Multiples of 8: 8, 16, 24
Multiples of 12: 12, 24
Therefore 24 is the LCM of 8 and 12
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nikdorinn [45]
Where is the diagram?
4 0
3 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
What are the the transformations of h(x)= -f(x+4)-12
katrin [286]

given f)x) then

- f(x) represents a reflection in the x-axis

f(x + 4 ) represents a shift of 4 units horizontally to the left

f(x) + 12 represents a vertical shift of 12 units down

thus h(x) = f(x + 4 ) - 12

is the graph of f(x), moved 4 units left, 12 units down and reflected in the x- axis


4 0
3 years ago
John wants to measure the height of a tree.he walks exactly 100 ft from the base of the tree and looks up.the angle from the gro
kati45 [8]

Answer: The height of the tree is 64.94ft

Step-by-step explanation:

Using the trigonometry of angles

Tan theta = opposite/adjacent

Tan 33° = height of the tree/100

Height of the tree= tan 33° * 100

= 0.6494*100

= 64.94ft

The height of the tree is 64.94ft

6 0
3 years ago
QUESTION 2
gregori [183]

Answer:

Step-by-step explanation:

ppleasepplease share the answers when got them

3 0
2 years ago
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