answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
zvonat [6]
2 years ago
8

Suppose that after 10 years of service, 40% of computers have problems with motherboards (MB), 30% have problems with hard drive

s (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?
Mathematics
1 answer:
sergij07 [2.7K]2 years ago
5 0

Answer:

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

<em>Multiply by 100 to get in in %</em>

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

You might be interested in
Nicole wants to know the height of a snow sculpture but it is too tall to measure. Nicole measured the shadow of the snow sculpt
DaniilM [7]
10ft=120inch
120÷40=3 times
5ft ×3 =15ft(sculpture)
8 0
2 years ago
Read 2 more answers
At most, Alana can spend $40 on carnival tickets. Ride tickets cost $4 each, and food tickets cost $2 each. Alana buys at least
evablogger [386]
We can let r be the number of food tickets and f be the number of food tickets. Since Alana can spend at most $40, that means the total of price bought for r and f must be less than or equal to $40. In addition, since Alana buys at least 16 tickets, this also means that the total of r and f is 16. Mathematically, we have these inequalities: (1) 4r + 2f ≤ 40 and (2) r + f ≥ 16 Multiplying -2 in (2), we have 4r + 2f ≤ 40 -2r - 2f ≤ 32 Adding both inequalities, 2r ≤ 8 r ≤ 4 Since r must be less than or equal to 4.Thus the answer is <span>A.</span>
5 0
1 year ago
Read 2 more answers
Luis is saving money to purchase a new video game. He has a total of 30 coins consisting of nickels and dimes. The value of the
bekas [8.4K]
N + d = 30 and 5n + 10d =220 
4 0
2 years ago
Read 2 more answers
It takes Daphne 25 minutes to assemble a model plane. During her work day Daphne takes 30 minutes for lunch and one 15 minute br
natka813 [3]

Answer:

<h2>y=25p-45</h2>

Step-by-step explanation:

We first of all start by cumulating all the time she spent for break

lunch= 30min

break= 15min

total break= 45min

also the time taken to assemble one model plane 25min

let the number of hours be p

and the total number of model plane be y

The model is

y=25p-45

7 0
2 years ago
1. Kellie and her sister Ashley are training for a marathon. Kellie ran 10 mi in 75 min. Ashley ran 15 mi in 120 min. Which stat
skad [1K]

(a) Kellie’s minutes-per-mile pace was faster than Ashley’s minutes-per-mile pace.

True

10/75 = 0.14

15/120 = 0.13

(b) Kellie ran 8 mph.

True

10 ÷ 1.15 = 8

(c) Ashley ran 12 mi in 90 min.

False

Speed = 7.5 mph

7.5 × 1.5 = 11.25 mi

8 0
1 year ago
Read 2 more answers
Other questions:
  • A moving company charges $0.60 per pound for a move from New York to Florida. A family estimates that their belongings weigh abo
    13·1 answer
  • Miranda and Jean are planning a trip together. They want to drive, but they’re not sure whose car to take. Jeans’s car uses 5/12
    11·1 answer
  • Shane and Abha earned a team badge that required their team to collect no less than 20002000 cans for recycling. Abha collected
    12·1 answer
  • scale drawing Gabriel planned a vegetable garden. Use the scale and the scale drawing to complete the following statements. The
    6·2 answers
  • 381.10-214.43 equals
    9·1 answer
  • Ebony is cutting dough for pastries in her bakery. She needs all the pieces to be congruent triangles and has ensured that segme
    10·1 answer
  • Determine the solution to the system of equations graphed below and explain your reasoning in complete sentences. Graph showing
    5·1 answer
  • Rewrite each expression as a product of two or quotient of two powers ​
    15·1 answer
  • Please help. A skyrocket is launched from a 6 foot high platform with initial speed 200ft/s. The polynomial -16t^2 + 200t + 6 gi
    6·2 answers
  • 1,A ladder with nine rungs is to be built, with the bottom rung 24cm. wide and the top rung
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!