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zheka24 [161]
1 year ago
12

Suppose that replacement times for washing machines are normally distributed with a mean of 9.4 years and a standard deviation o

f 2 years. Find the replacement time that separates the top 18% from the bottom 82%.
Mathematics
1 answer:
Nezavi [6.7K]1 year ago
6 0

Using the normal distribution, it is found that the replacement time that separates the top 18% from the bottom 82% is of 11.23 years.

<h3>Normal Probability Distribution</h3>

The z-score of a measure X of a normally distributed variable with mean \mu and standard deviation \sigma is given by:

Z = \frac{X - \mu}{\sigma}

  • The z-score measures how many standard deviations the measure is above or below the mean.
  • Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

In this problem, the mean and the standard deviation are, respectively, given by \mu = 9.4, \sigma = 2.

The desired value is the 82nd percentile, which is X when Z = 0.915, hence:

Z = \frac{X - \mu}{\sigma}

0.915 = \frac{X - 9.4}{2}

X - 9.4 = 0.915(2)

X = 11.23

The replacement time that separates the top 18% from the bottom 82% is of 11.23 years.

More can be learned about the normal distribution at brainly.com/question/24663213

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skelet666 [1.2K]

We know that 5 fits entirely into our number three times, and then there's a remainder of 4.

If 5 fits three times exactly, it means that our number is at least 15 (5x3).

From here, we have a remainder of 4, which leads to 15+4=19

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3 years ago
Um can some one pls explain this​
slamgirl [31]

Answer:

the answer is c) 182.25

Step-by-step explanation:

The information provided gives you a scale that will ultimately allow you to determine the height of the larger cylinder.

Since it tells us the two are similar, we can use the scale to solve for the second height.

Set up your math like this:

\frac{16}{h}=\frac{64}{729}

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using a common multiple, you can solve for h.

16 times 4 is 64. so 729 divided by 4 is 182.25

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3 years ago
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What is the range of F(x)=72x-x^2
Marianna [84]

Answer:

Range of F(x) = (-∞ ,72).

Step-by-step explanation:

Range of the function F(x) means the set of values which are taken by the function along its domain.

F(x) = 72 - x^{2}

Since coefficient of x^{2} is negative on the right side ,

Maximum value of F(x) will come at x = 0.

Which is, F(0) = 72.

Now, as x increases , F(x) decreases , when x will reach infinity ,

F(x) will be reaching negative of infinity .

Thus, F(x) is ranging from -∞ to 72 .

Range of F(x) = (-∞ ,72).

3 0
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ivann1987 [24]

Answer:

the value will be equal to 0

Step-by-step explanation:

see the attached picture for solution --

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3 years ago
(Algebra 2)<br><br> Find the inverse of f(x) and its domain.
elixir [45]
Let f(x)=y
f^-1(x)=x
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answer
B
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2 years ago
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