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2 years ago

In a group of 28 students, 12 study both Art and Biology.

Mathematics

1 answer:

MAVERICK [17]2 years ago

3 0

Answer:

100%

Step-by-step explanation:

Use conditional probability:

P(B | A) = P(B and A) / P(A)

P(B | A) = (12/28) / P(A)

We need to find the probability that a student studies art.

P(A or B) = P(A) + P(B) − P(A and B)

24/28 = P(A) + (12+12)/28 − 12/28

P(A) = 12/28

P(B | A) = (12/28) / (12/28)

P(B | A) = 1

What this means is that all of the students who study art also study biology.

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olga nikolaevna [1]

Answer:

y = x+2

Step-by-step explanation:

(x1,y1) is (-4,-2) and (x2,y2) is (2,4)

Slope intercept form is y = mx+b

m = slope

b = add on

Slope = $\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

Substitute numbers

Slope = $\frac{4-(-2)}{2-(-4)}$

Two negatives = one positive

Simplify

$Slope = \frac{4+2}{2+4}=\frac{6}{6}=1$

The slope is 1

We can substitute y, x, and the slope

4 = 2*1 + b

4 = 2+b

b = 2

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Answer is y = x+2

Hope this helps :)

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2 years ago

12. (2v^3 - v + 8) + (-v^3 + v - 3) 14. (4h^3 + 3h + 1) - (-5h^3 + 6h - 2)

Lana71 [14]

12. On addition, you can just combine like terms.
2v^3+(-v^3)=v^3
-v+v cancels each other out
8+(-3)=5
So you have v^3+5

14 On subtraction, you have to remember to distribute the negative sign so after you do that you have:
4h^3+3h+1+5h^3-6h+2
Then you can combine like terms
4h^3+5h^3=9h^3
3h-6h=-3h
1+2=3
So you end up with:
9h^3-3h+3

Hope that helps and feel free to ask any questions.

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2 years ago

Find | P | a. 15 b. 22 c. 24 d. 8

ankoles [38]

Answer:

c. 24

Step-by-step explanation:

15+9=24

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3 years ago

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