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bagirrra123 [75]
3 years ago
10

Find the least common multiple of the pair of polynomials. 3y2 - 48 and y + 4

Mathematics
1 answer:
alexdok [17]3 years ago
7 0

Step-by-step explanation:

3y2 - 48

So the least common multiple is 3

3( y2 - 16)

y + 4 there cannot be a multiple of y

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Assume that there are an equal number of births in each month so that the probability is that a person chosen at random was born
NikAS [45]

Answer:

0.2773 = 27.73% probability that at the May celebration, exactly two members of the group have May birthdays

Step-by-step explanation:

For each person, there are only two possible outcomes. Either they have a birthday in May, or they do not. The probability of a person having a birthday in May is independent of any other person. This means that the binomial probability distribution is used 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.

Probability of a person being in May:

May has 31 days in a year of 365. So

p = \frac{31}{365} = 0.0849

Group of 20 friends:

This means that n = 20

What is the probability that at the May celebration, exactly two members of the group have May birthdays?

This is P(X = 2).

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

P(X = 2) = C_{20,2}.(0.0849)^{2}.(0.9151)^{18} = 0.2773

0.2773 = 27.73% probability that at the May celebration, exactly two members of the group have May birthdays

3 0
3 years ago
3x-2y=-6 how to find the slope,y-intercept,and x-intercept
wolverine [178]
You have to move your variables around.<span />
7 0
3 years ago
Plz help me with this!
nikdorinn [45]
B is the answer because 12 divided by 6 is 2 and 18 divided by 6 is 3

3 0
3 years ago
X - 5(x + 1) = 3x + 2<br> answer , but show work pls.
Nitella [24]

Answer: x = -1

Step-by-step explanation:

Starting:

x-5(x+1)=3x+2

Simplify the left side:

-4x-5=3x+2

Move all the terms with an x to the left:

-7x-5=2

Move all the terms without an x to the right:

-7x=7

Divide both sides by -7:

x = -1

3 0
3 years ago
Two storage sheds are to have the same area. One is square and one is rectangular. The rectangular shed is 4 meters wide and 9 m
aliina [53]
Area is calculated by taking the length times the width.
A=lxw

one shed is 9 x 4 =36 square feet.
the other shed will be the same but have a four sides equal.
a shed with side of 6 x 6 will have a area of 36 square feet.

one side of the square shed would be 6 feet.

brainliest is always appreciated..
6 0
3 years ago
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