A light bulb consumes 13200 watt-hours in 5 days and 12 hours. how many watt-hours does it consume per day?

Christine Wong has asked Dave and Mike to help her move into a new apartment on Sunday morning. She has asked them both in case

olga nikolaevna [1]

Answer:

(a) The probability that both Dave and Mike will show up is 0.25.

(b) The probability that at least one of them will show up is 0.75.

(c) The probability that neither Dave nor Mike will show up is 0.25.

Step-by-step explanation:

Denote the events as follows:

D = Dave will show up.

M = Mike will show up.

Given:

$P(D^{c})=0.55\\P(M^{c})=0.45$

It is provided that the events of Dave of Mike showing up are independent of each other.

(a)

Compute the probability that both Dave and Mike will show up as follows:

$P(D\cap M)=P(D)\times P (M)\\=[1-P(D^{c})]\times [1-P(M^{c})]\\=[1-0.55]\times[1-0.45]\\=0.2475\\\approx0.25$

Thus, the probability that both Dave and Mike will show up is 0.25.

(b)

Compute the probability that at least one of them will show up as follows:

P (At least one of them will show up) = 1 - P (Neither will show up)

$=1-P(D^{c}\cup M^{c})\\=P(D\cup M)\\=P(D)+P(M)-P(D\cap M)\\=[1-P(D^{c})]+[1-P(M^{c})]-P(D\cap M)\\=[1-0.55]+[1-0.45]-0.25\\=0.75$

Thus, the probability that at least one of them will show up is 0.75.

(c)

Compute the probability that neither Dave nor Mike will show up as follows:

$P(D^{c}\cup M^{c})=1-P(D\cup M)\\=1-P(D)-P(M)+P(D\cap M)\\=1-[1-P(D^{c})]-[1-P(M^{c})]+P(D\cap M)\\=1-[1-0.55]-[1-0.45]+0.25\\=0.25$

Thus, the probability that neither Dave nor Mike will show up is 0.25.

6 0

3 years ago

Read 2 more answers

Answer all 3 for brainliest

fiasKO [112]

Answer:

7.) 53.38

8.) 18.84

9.) 87.92

Step-by-step explanation:

7.)

For the first question, we can see that the diameter is given. So, we will want to divide that diameter by 2 to get the radius. 17 ÷ 2 = 8.5.

The formula for finding the circumference is 2 × π × 8.5

2 × 3.14(π) = 6.28.

6.28 × 8.5 = 53.38

8.)

For the second question, we can see that the radius is now given to us which is 3ft.

The formula for finding the circumference is 2 × π × 3

2 × 3.14(π) = 6.28.

6.28 × 3 = 18.84

9.)

For the third question the raduis is also given to us, which is 14 in.

The formula for finding the circumference is 2 × π × 14.

2 × 3.14(π) = 6.28.

6.28 × 14 = 87.92

-kiniwih426

7 0

2 years ago

The number 6 is a solution to which of the following inequalities?

Paladinen [302]

Answer:

21 + x < 28

Step-by-step explanation:

27 is in fact greater than 28 if you where to input 6 into the x spot, this is the only one that's a true expression.

8 0

3 years ago

Rewrite the expression with parentheses pls help

KATRIN_1 [288]

Um is it (2+4) ÷ (2+4)

7 0

2 years ago

A zucchini plant in Darnell’s garden was 12 centimeters tall when it was first planted. Since then, it has grown approximately 0

lara [203]

Function: 12+0.5x

12+0.5x=18.5
0.5x=6.5
x=13 days

8 0

3 years ago