Mathematics, 07.09.2019 02:10 BreadOfTheBear

Suppose that after 10 years of service, 40% of computers have problems with motherboards (mb), 30% have problems with hard drives (hd), and 15% have problems with both mb and hd. what is the probability that a 10-year old computer still has fully functioning mb and hd?

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Answer from: sierratellman

The probability that a 10-year old computer still has fully functioning MB and HD is 45%

Step-by-step explanation:

The probability of the union of two events, is equal to the sum of the individual probabilities of the two events, minus the probability of the intersection event.

That means that the probability of have a fully functional computer (PFC) is equal to the sum of probability of have a computer with a functional motherboards (PFMB) plus the probability of have a computer with a functional hard drives (PFHD), minus the probability of have a computer with both motherboards and hard drives functional (PBMH).

PFC = PFMB+PFHD-PBMH

Probability of functional motherboards (PFMB)

PFMB = 1 - probability of having problems with motherboards = 1 - 40 %

PFMB = 1 - $\frac{40}{100}$ = 1 - $\frac{4}{10}$ = $\frac{6}{10}$

Probability of functional hard drive (PFHD)

PFHD = 1 - probability of having problems with hard drive = 1 - 30 %

PFHD = 1 - $\frac{30}{100}$ = 1 - $\frac{3}{10}$ = $\frac{7}{10}$

Probability of functional both (PFMH)

PFMH = 1 - probability of having problems with both = 1 - 15 %

PFMH = 1 - $\frac{15}{100}$ = 1 - $\frac{3}{20}$ = $\frac{17}{20}$

PFC = $\frac{6}{10}$ + $\frac{7}{10}$ - $\frac{17}{20}$

PFC = $\frac{9}{20}$

PFC = 0.45

Multiply by 100 to get in in %

The probability that a 10-year old computer still has fully functioning MB and HD is 45%

Answer from: Quest

step-by-step explanation:

if you want to solve percent error follow these steps.

1. subtract the accepted value from the experimental value.

2. take the absolute value of step 1.

3. divide that answer by the accepted value.

4. multiply that answer by 100 and add the % symbol to express the answer as a percentage.

if you want to solve percent of change just do this.

1. work out the difference (increase) between the two numbers you are comparing.

2. divide the increase by the original number and multiply the answer by 100. if your answer is a negative number then this is a percentage decrease.

hope this : )

Answer from: Quest

“exterior angles of triangles. an exterior (or external) angle is the angle between one side of a triangle and the extension of an adjacent side. try this drag the orange dots on any vertex to reshape the triangle.” look to get to the answer i explained what it means and other things i hope it you .
Which is the beat definition of an exterior angle of a triangle

Which is the beat definition of an exterior angle of a triangle

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Suppose that after 10 years of service, 40% of computers have problems with motherboards (mb), 30% h...