What is 7/8 divided by 3/4

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:

<em>D</em> = Dave will show up.

<em>M</em> = 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

Rewrite 5 ⋅ x + 5 ⋅ 8 using parentheses.

Lera25 [3.4K]

Answer:

(5 ⋅ X) + (5 ⋅ 8) =

Step-by-step explanation:

7 0

2 years ago

A medical records clerk gathers data about patients with broken bones. It is found that 3/5 of the medical records are for broke

beks73 [17]

3/5 = x/1357
Cross multiple
5x = 4071
Divide by 5
X = 814 records of broken bone

4 0

3 years ago

Tasha ate 1/3 of a pizza and Jay ate 3/8 of the same pizza. What of the pizza was eaten

devlian [24]

To find how much of the pizza was eaten, add the amount that each person ate:

1/3 + 3/8
8/24 + 9/24
17/24 of the pizza was eaten

8 0

3 years ago

If m=36 cm and n=37cm, what is the length of n?

Nady [450]

N = 37 cm because it already said it in the question.

5 0

3 years ago