For every A earned, Max's parents allowed Max to stay up 15 minutes later. Max's normal bedtime was 8:30.

A teacher has found that the probability that a student studies for a test is 0.610.61, and the probability that a student gets

Ann [662]

Answer with step-by-step explanation:

Let

A=Student studies for a test

B=Student gets good grade on a test

The probability that a student studies for a test=P(A)=0.61

The probability that a student gets a good grade on a test=P(B)=0.79

The probability that both occur= $P(A\cap B)=0.56$

a.We have to find the events are independent

We know that if two events A and B are independent then

$P(A)\cdot P(B)=P(A\cap B)$

$P(A)\cdot P(B)=0.61\times 0.79=0.4819$

$P(A\cap B)\neq P(A)\cdot P(B)$

Hence, given events are not independent.

b.We have to find $P(B/A)$

$P(B/A)=\frac{P(A\cap B)}{P(A)}$

$P(B/A)=\frac{0.56}{0.61}=0.92$

c. We have to find $P(A/B)$

$P(A/B)=\frac{P(A\cap B}{P(B)}$

$P(A/B)=\frac{0.56}{0.79}=0.71$

7 0

3 years ago

Avery has a job where she has a take home salary each month of 1200. If Avery wants to spend no more then 25% of her monthly tak

Blizzard [7]

Answer:

She can only spend 300 of her monthly salary on rent.

Step-by-step explanation:

8 0

3 years ago

A rectangular prism has a volume of 137.54ft the length is 2.3 feet and the height is 13 feet. Write and solve an equation to de

patriot [66]

All you have to do is multiply 2.3 by 13 together to get 29.9. Then you would subtract that by the total volume which would get 107.64. That's the width.

6 0

3 years ago

Find a . b if a = (4.3) and b = (4,5). a. 31 b. (8,8) c. (16,15) d. -1

Inessa [10]

Answer:

its answer is c.(16 , 15)

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Prove the identity. tan(x − y) + tan(z − x) + tan(y − z) = tan(x − y) tan(z − x) tan(y − z)

Viktor [21]

Step-by-step explanation:

This is known as the triple tangent identity. Start with the fact that the three angles add up to 0.

(x − y) + (z − x) + (y − z) = 0

Subtract two terms to the other side and take the tangent:

x − y = -((z − x) + (y − z))

tan(x − y) = tan(-((z − x) + (y − z)))

Use reflection property:

tan(x − y) = -tan((z − x) + (y − z))

Now use angle sum identity:

tan(x − y) = -[tan(z − x) + tan(y − z)] / [1 − tan(z − x) tan(y − z)]

tan(x − y) = [tan(z − x) + tan(y − z)] / [tan(z − x) tan(y − z) − 1]

tan(x − y) [tan(z − x) tan(y − z) − 1] = tan(z − x) + tan(y − z)

tan(x − y) tan(z − x) tan(y − z) − tan(x − y) = tan(z − x) + tan(y − z)

tan(x − y) tan(z − x) tan(y − z) = tan(x − y) + tan(z − x) + tan(y − z)

4 0

3 years ago