Slope using these numbers

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 area with a central angle of 170° and a diameter of 9.1 cm. Round to the nearest tenth.

alexandr402 [8]

AREA OF A SECTOR =1/2(Ф.R²). Note that R = Diameter/2

AREA OF A SECTOR =1/2(170°).(9.1)/2) =386.75 cm²

6 0

3 years ago

Determine the error(s) in the problem below and use mathematical language

anzhelika [568]

Step-by-step explanation:

error is in ∆ABC =~ ∆RST

because it is,

∆ABC =~ ∆RTS or ∆STR

because,

AB = RT

BC = TS

CA = SR

hope this answer helps you dear! take care.

5 0

3 years ago

What is 399 divided by 19

tekilochka [14]

Answer:

Calculator doesn’t exist anymore?

Step-by-step explanation:

8 0

3 years ago

Which number is the additive inverse of –5?<br> – One-fifth<br> 0<br> Negative one-fifth<br> 5

dalvyx [7]

The answer is 5. the additive inverse of something is basically the opposite !

3 0

3 years ago

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