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
Vaselesa [24]
1 year ago
12

The toasters produced by a company have a normally distributed life span with a mean of 5.8 years and a standard deviation of 0.

9 years, the company is willing to have a warranty that replaces at most 5% of their toasters sold. What is the longest a blender can last and still be in the lowest 5% of life spans?
4.6 years

7.3 years

4.3 years

5.9 years
Mathematics
1 answer:
Hoochie [10]1 year ago
8 0

The longest a blender can last and still be in the lowest 5% of life spans will be 4.6 years. The correct option is A.

<h3>What is a normal distribution?</h3>

The z-score formula can be used to resolve issues with samples that have a normal distribution. The score of a measure X in a collection with mean and standard deviation is given by:

Z = ( X - μ ) / σ

The Z-score calculates the deviation of the measure from the mean in standard deviations. We glance at the z-score table after determining the Z-score to determine the p-value connected to it.

The likelihood that the measure's value is less than X, or the percentile of X, is represented by this p-value. The likelihood that the value of the measure is greater than X is obtained by deducting 1 from the value.

In this problem, we have that:

μ = 5.8, σ = 0.9

Only those on the 5th percentile or lower will be replaced. So the warranty is the value of X when Z has a value of 0.05.

The value of x will be:-

Z = ( X - μ ) / σ

-1.28 = ( X - 5.8 ) / 0.9

X = 4.6

Therefore, the longest a blender can last and still be in the lowest 5% of life spans will be 4.6 years. The correct option is A.

To know more about a normal distribution follow

brainly.com/question/4079902

#SPJ1

You might be interested in
And English class has read the first 384 pages of your novel. If this is 75% of the entire book, how many total pages are in the
Doss [256]
384 pages (0.75) = 288 pages
Add this to the original amount of pages.

384 + 288 = 672 total pages.
3 0
3 years ago
Read 2 more answers
£10 a hour , 37.5 hours a week, 52 weeks in a year
Vesna [10]
<span>£19,500
10*37.5*52 =</span>£19,500
6 0
3 years ago
Amy makes a rectangular poster with an area of 21+28m square inches. The width of the poster is 7 inches as shown in the followi
Lesechka [4]
You could use simple factoring to solve this. You would factor out a 7 and then have

7(3+4m) = A

l x w = A

w= 3 +4m
8 0
3 years ago
Solve 1/2cot(x)&gt;=1/2 over 0&lt;=x&lt;=2pi
RSB [31]

9514 1404 393

Answer:

  (0, π/4] ∪ (π, 5π/4]

Step-by-step explanation:

Multiplying by 2 gives ...

  cot(x) ≥ 1

The cotangent function decreases from ∞ to 1 in the domain (0, π/4], and again in the domain (π, 5π/4]. The solution is the union of these two intervals.

  x ∈ (0, π/4] ∪ (π, 5π/4]

_____

(a, b] is interval notation for a < x ≤ b

3 0
3 years ago
➥ The base of a parallelogram is thrice its height. If the area is 897 sq.cm. Find the base and height of the parallelogram.
IgorC [24]

Answer:

The height of parallelogram is 51.87 cm

Step-by-step explanation:

Let The height of a parallelogram = a cm

Then

The base of a parallelogram = 3a cm

So by the given condition

3a×a = 897

3a^2 = 897

a^2 = 897/3

a^2 = 299

a = 17.29

So the height of parallelogram = 3×17.29= 51.87 cm

6 0
3 years ago
Other questions:
  • What does 420+39+1000=
    14·1 answer
  • Hannah buys 2 and one half pounds of dried fruit for $1.50. how much is she paying for one pound of dried fruit?
    9·1 answer
  • What is the pattern in the values as the exponents increase?
    7·2 answers
  • A, R, S, and C are coplanar.<br>True<br>or<br>False​
    5·1 answer
  • What is the mean for the set of data?
    6·1 answer
  • Someone please help me
    13·1 answer
  • for an interview 60% of the applicants were selected. After the interview 20% for those who were selected go to the job offer​
    7·1 answer
  • Jordana drew the function below.which statement correctly explains whether or not her function is linear?​
    14·1 answer
  • What is the probability of you picking a red apple from a bag of green apples
    5·2 answers
  • Five double-digit numbers We have five consecutive positive double-digit integers. If we swap places on the numbers in the large
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!