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KonstantinChe [14]
2 years ago
15

Please help! 25 points

Mathematics
1 answer:
Zinaida [17]2 years ago
7 0

Answer: Look at explanation

Step-by-step explanation:

32 = 2 x 2 x 2 x 2 x 2

27 = 3 x 3 x 3

16 = 2 x 2 x 2 x 2

No as 32 can be broken down to 8 and 4 and not just pime and not prime

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How do you Factor this equation
algol [13]

Answer:

(x+4)(x+4)

Step-by-step explanation:

The middle number is 8 and the last number is 16. Factoring means we want something like (x+_)(x+_). We need two numbers that add together to get 8 and multiply together to get 16. The number 4 works perfectly in this equation. That's why (x+4)(x+4) is the factor of the equation x^2 + 8x + 16.

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Below is a probability distribution for the number of failures in an elementary statistics course. X 0 1 2 3 4 P(X=x) 0.41 0.18
faust18 [17]

Answer:

a) P(X=2)= 0.29

b) P(X<2)= 0.59

c) P(X≤2)= 0.88

d) P(X>2)= 0.12

e) P(X=1 or X=4)= 0.24

f) P(1≤X≤4)= 0.59

Step-by-step explanation:

a) P(X=2)= 1 - P(X=0) - P(X=1) - P(X=3) - P(X=4)= 1-0.41-0.18-0.06-0.06= 0.29

b) P(X<2)= P(X=0) + P(X=1)= 0.41 + 0.18 = 0.59

c) P(X≤2)= P(X=0) + P(X=1) + P(X=2)=0.41+0.18+0.29= 0.88

d) P(X>2)=P(X=3) + P(X=4)=0.06+0.06= 0.12

e) P(X=1 or X=4)=P(X=1 ∪ X=4) = P(X=1) + P(X=4)=0.18+0.06= 0.24

f) P(1≤X≤4)=P(X=1) + P(X=2) + P(X=3) + P(X=4)=0.18+0.29+0.06+0.06= 0.59

3 0
3 years ago
Read 2 more answers
100 pints help would be greatly appreciated
Veronika [31]

Answer:

  (4, -2)  (see attached)

Step-by-step explanation:

Vector addition on a graph is accomplished by placing the tail of one vector on the nose of the one it is being added to. The negative of a vector is in the direction opposite to the original.

__

<h3>vector components</h3>

The components of the vectors are ...

  u  = (1, -2)

  v = (-6, -6)

Then the components of the vector sum are ...

  2u -1/3v = 2(1, -2) -1/3(-6, -6) = (2 +6/3, -4 +6/3)

  2u -1/3v = (4, -2)

<h3>graphically</h3>

The sum is shown graphically in the attachment. Vector u is added to itself by putting a copy at the end of the original. Then the nose of the second vector is at 2u.

One-third of vector v is subtracted by adding a vector to 2u that is 1/3 the length of v, and in the opposite direction. The nose of this added vector is the resultant: 2u-1/3v.

The resultant is in red in the attachment.

5 0
2 years ago
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