1answer.
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
DedPeter [7]
3 years ago
11

Twenty percent of all telephones of a certain type are submitted for service while under warranty. Of these, 60% can be repaired

, whereas the other 40% must be replaced with new units. If a company purchases ten of these telephones, what is the probability that exactly three will end up being replaced under warranty? (Round your answer to three decimal places.)
Mathematics
1 answer:
tatiyna3 years ago
4 0

Answer: 0.034

Step-by-step explanation:

Given : P(Submitted under warranty)= 0.20

P(Replaced  | Submitted under warranty)=0.40

P(Replaced and Submitted under warranty )= P(Submitted under warranty)×P(Replaced  | Submitted under warranty)

=0.20\times0.40=0.08

Let x be the number of telephones will end up being replaced under warranty.

Total telephones purchased : n= 10

Using binomial probability formula : P(X)=^nC_xp^x(1-p)^{n-x}

i.e. The probability that exactly three will end up being replaced under warranty will be :-

P(X=3)=^{10}C_3(0.08)^3(1-0.08)^{10-3}\\\\=\dfrac{10!}{3!(10-3)!}(0.08)^3(0.92)^7\\\\=0.03427409518\approx0.034 [Rounded to three decimal places. ]

Hence, the probability that exactly three will end up being replaced under warranty : 0.034

You might be interested in
Prove: The sum of two multiples of 3 is a multiple of 3
andrey2020 [161]

Answer:

  3 . . . goes in both boxes

Step-by-step explanation:

Use the distributive property. Remove the common factor to outside parentheses:

  3(m +n) = a multiple of 3

6 0
2 years ago
4. Joe received an hourly wage of $8.15. His boss gave him a 7% raise. How much does Joe make per hour now?
Olenka [21]

Answer:

$ 8.72

Step-by-step explanation:

  • How much does Joe make per hour now?

$8.15 + 7%·$8.15 =

= $8.15 + 7×8.15/100

= $8.15 + $57.05/100

= $8.15 + $0.57

= $ 8.72

5 0
3 years ago
Read 2 more answers
7th grade math help me please :)))
yanalaym [24]

Answer:

$284.99 should go to Mr. Aceves’ class, $174.41 should go to Mrs. Baca’s class, and $140.60 should go to Mr. Canyon’s class.

Step-by-step explanation:

Firstly, to calculate the portions each class should have, we should find the proportion each class takes up.

Hence, let's say A represents Mr. Aceves' class, B represents Mrs. Baca's class, and C represents Mr. Canyon's class.

The total number of box tops collected would be 3760 + 2301 + 1855 = 7916 box tops.

Therefore, the total proportions would be:

A = \frac{3760}{7916}

B = \frac{2301}{7916}

C = \frac{1855}{7916}

Hence, we can finally multiply these proportions with the total prize to find the appropriate division:

Mr. Aceves' class gets \frac{3760}{7916} \cdot 600 \approx 284.99.

Mrs. Baca's class gets \frac{2301}{7916} \cdot 600 \approx 174.41.

And Mr. Canyon's class gets \frac{1855}{7916} \cdot 600 \approx 140.60.

Finally, $284.99 should go to Mr. Aceves’ class, $174.41 should go to Mrs. Baca’s class, and $140.60 should go to Mr. Canyon’s class.

Hope this helped!

7 0
2 years ago
Will walked 5 miles to school. He walked 7 miles back home because he took the long way. How many miles dis he walk in all?
4vir4ik [10]

12? pretty simple. i believe so

8 0
3 years ago
Read 2 more answers
Find y. A. √22 B. 8 C. √42 D. 4
Elina [12.6K]

Answer:

\Large \boxed{\mathrm{D. \ 4}}

Step-by-step explanation:

The triangle is a right triangle.

We can use trigonometric functions to solve the problem.

tan θ = opp/adj

tan 30 = y/(4√3)

y = 4√3 tan 30

y = 4

7 0
2 years ago
Other questions:
  • An ordinary (fair) die is a cube with the numbers 
    5·1 answer
  • HELP I NEED THIS ANSWER ASAP OR I FAIL<br> PLEASE
    15·1 answer
  • How do you write the equation for a line perpendicular the the line shown and passing through the given point in slope intercept
    12·1 answer
  • Factor completely: 9(x–1)−(x–1)^2
    13·2 answers
  • Levelt Question 7 1) What is the total amount of sap the trees produced that day?​
    7·2 answers
  • Haley's bedroom is 5 yards long and 4 yards wide. Abe's bedroom is 4 yards long and 3 yards wide. What is the difference in the
    8·1 answer
  • Can someone help me please ?
    10·1 answer
  • Evaluate the expression 120n + 160,500 when n= 32.<br> n=______
    9·1 answer
  • I need help please help me
    10·1 answer
  • What is (1,3) rotated in 180 degrees?
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!