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trapecia [35]

The action of deducting or subtracting something.
Example: "the dividend will be paid without deduction of tax"

3 0

3 years ago

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

Mr. and Mrs. Rainer took out a $240,000 loan to purchase their home. If the interest rate on the loan is 1.2% compounded bimonth

Bogdan [553]

Answer:

$103968.11

Step-by-step explanation:

Given information:

Principal amount = $240,000

Rate of interest = 1.2% = 0.012

Number of years = 30

Number of times in an year = 24

Formula for amount:

where

P is principal, r is rate of interest, t is number of years, n is number of times interest compounded in a year.

Now,

Hence, the interest is $103968.11.

6 0

3 years ago

which number has a 2 in position where it represents 10 times as much as the 2 in 4,523 a. 241 d. 612 c. 928 b. 2,175

Alenkasestr [34]

A. 241

The 2 in 4,523 is 20.
20 times 10= 200.
So the answer has to have a 2 in the hundreds place.

7 0

4 years ago

Hep meh plz again 20 points

Alchen [17]

The answer is the last one. After you multiply the following 2 number sets you get 414. so multiply 9 by the given answers and whichever equals 414 that is you answer. (its d btw)

8 0

3 years ago

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