Find X <br> 9yd <br> 12yd<br> x= yd

On rainy days, Joe is late to work with probability .3; on nonrainy days, he is late with probability .1. With probability .7, i

Likurg_2 [28]

Answer:

a) 76% probability that Joe is early tomorrow.

b) 64.47% conditional probability that it rained

Step-by-step explanation:

We have these following probabilities:

A 70% probability that it will rain tomorrow.

A 30% probability that it does not rain tomorrow.

If it rains, a 30% probability that Joe is late and a 100-30 = 70% probability that Joe is early.

if it does not rain, a 10% probability that Joe is late and a 100-10 = 90% probability that Joe is early.

(a) Find the probability that Joe is early tomorrow.

Either it rains(70% probability) and he is early(70% probability when it rains), or it does not rain(30% probability) and he is early(90% probability when it does not rain). So

$P = 0.7*0.7 + 0.3*0.9 = 0.76$

76% probability that Joe is early tomorrow.

(b) Given that Joe was early, what is the conditional probability that it rained?

By the Bayes theorem, this probability is:

The probability that it rained and he was early divided by the probability he was early.

Rained and early

70% probability it rains.

70% probability he is early when it rains.

$0.7*0.7 = 0.49$

Early

From a), 0.76

Probability

$P = \frac{0.49}{0.76} = 0.6447$

64.47% conditional probability that it rained

4 0

3 years ago

Write an equation of the line containing the given point and parallel to the given line (6,7);x+7y=9

WITCHER [35]

s

:

y

=

−

3

7

x

+

31

7

Explanation:

We take the line above in the form

r

:

y

=

a

x

+

b

We know that any parallel is

s

:

y

=

a

x

+

c

We choose

(

−

6

,

7

)

∈

s

7

y

=

3

−

3

x

⇒

r

:

y

=

−

3

7

x

+

3

7

s

:

7

=

−

3

7

(

−

6

)

+

c

49

=

18

+

7

c

⇒

c

=

31

7

hope this Help :)

3 0

3 years ago

Question is in an image

Ghella [55]

In my opinion the answer would be A.

8 0

3 years ago

What is the measure of the smallest angle in the triangle whose vertices are D(4,1), E(4, -2), and F(-2, -2)? Round to the neare

Diano4ka-milaya [45]

27
I hope this is right

8 0

3 years ago

A hotel charges a $10,000 annual fee plus an additional $200 for each night you stay there. What is the average cost per night i

Anton [14]

Answer:

$\$400$

Step-by-step explanation:

GIVEN: A hotel charges a $\$10000$ annual fee plus an additional $\$200$ for each night you stay there.

TO FIND: average cost per night if you stay at the hotel for $50$ nights.

SOLUTION:

Annual fee charged by hotel $=\$10000$

amount charged each night we stay there $=\$200$

Total number of nights we stay $=50$

Total amount paid for $50$ nights $=50\times\$200$

$=\$10000$

Total amount paid $=\text{annual fee}+\text{total amount paid for 50 nights}$

$=\$10000+\$10000$

$=\$20000$

average cost per night $=\frac{\text{total amount paid}}{\text{total number of nights of stay}}$

putting values,

average cost per night $=\frac{20000}{50}$

$=\$400$

Hence average cost per night if we stay at hotel for $50$ days is $\$400$

6 0

3 years ago

Find X 9yd 12yd x= yd