Rewrite 6(40-10) using distributive property of multiplication over subtract

The computers of six faculty members in a certain department are to be re- placed. two of the faculty members have selected lapt

FinnZ [79.3K]

Answer:

A) The probability that both selected setups are for laptop computers is 0.067

B)The probability that both selected setups are desktop machines is 0.4

C)The probability that at least one selected setup is for a desktop computer is 0.933

D)The probability that at least on computer of each type is chosen for setup is 0.533

Step-by-step explanation:

Number of laptops = 2

Number of desktops = 4

Total number of outcomes = 15

a) what is the probability that both selected setups are for laptop computers?

Total number of outcomes = 15

So, the probability that both selected setups are for laptop computers = $\frac{1}{15}=0.067$

b)what is the probability that both selected setups are desktop machines?

Number of desktops = 4

Number of desktops to be chosen = 4

We will use combination

No. of ways to select two desktops = $^4C_2=\frac{4!}{2!(4-2)!}=6$

So,the probability that both selected setups are desktop machines= $\frac{6}{15}=0.4$

(c) what is the probability that at least one selected setup is for a desktop computer?

P(at least 1 desktop)=1-P(No desktop)

P(at least 1 desktop)=1-P(both laptops)

P(at least 1 desktop)=1-0.067=0.933

So,the probability that at least one selected setup is for a desktop computer is 0.933

d) what is the probability that at least on computer of each type is chosen for setup?

No. of ways to select one desktop $=^4C_1=\frac{4!}{1!(4-1)!}=4$

No. of ways to select one laptop = $^2C_1=\frac{2!}{1!(2-1)!}=2$

So, No. of ways to select one laptop and one desktop= $4 \times 2 = 8$

So,the probability that at least on computer of each type is chosen for setup= $\frac{8}{15}=0.533$

6 0

3 years ago

Find the sum: 4+(-11)

Elden [556K]

Answer:

-7

Step-by-step explanation:

4 + (-11)

=> {since, positive x negative = negative}

=> 4 - 11

=> -7

3 0

2 years ago

Read 2 more answers

The graph compares the number of filled tables at a party with the number of party guests. Which information tells you that the

Galina-37 [17]

Answer:

B

Step-by-step explanation:

A proportional relationship is represented by linear function with its linear parameter "b" equal to zero. Since b is equal to zero, the line passes through the origin and the function/relation is proportional.

To verify that we divide the y coordinate over the x coordinate we obtain a constant called k, which is the slope.

For instance:

$y=2x$

According to this function we can easily check a proportional relationship among its points:

$(1,2), (2,4), (4,8), (6,12), ...$

$k=\frac{y}{x}=\frac{2}{1}=\frac{4}{2}=\frac{12}{6}\Rightarrow k=2$

3 0

4 years ago

Read 2 more answers

What is 1 + 1? answer

Lady bird [3.3K]

Answer:

2

Step-by-step explanation:

1

+ <u>1</u>

2

hope this helps...

3 0

3 years ago

The width of a rectangle is 8 inches less than the length. The perimeter is 76 inches. Find the length and the width.

REY [17]

L=30in
w Width

in
P Perimeter

in
Width is 8 and perimeter is 76

3 0

4 years ago