A math teacher in a middle school surveyed a random sample of students about their

If the life in years of a television set is normally distributed with a mean of 36 years and a standard deviation of 8 years wha

TiliK225 [7]

Answer:

The company should guarantee a lifetime of less than equal to 20.95 years so that less than 3% of the television sets fail while under warranty.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 36 years

Standard Deviation, σ = 8 years

We are given that the distribution of life of television sets is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

We have to find the value of x such that the probability is 0.03.

$P( X < x) = P( z < \displaystyle\frac{x - 36}{8})=0.03$

Calculation the value from standard normal z table, we have,

$\displaystyle\frac{x - 36}{8} =-1.881\\\\x = 20.952\approx 20.95$

Thus, the company should guarantee a lifetime of less than or equal to 20.95 years so that less than 3% of the television sets fail while under warranty.

3 0

2 years ago

The table shows the temperature (in degrees) for eight consecutive days as well as the respective number of ice cream cones an i

algol13

Answer:

B. 585

Step-by-step explanation:

A graph of the scatter plot and line of best fit is attached.

The temperature in this problem will be the independent variable, or x. This is because we are assuming that the number of ice cream cones sold depends on the temperature; this means the number of ice cream cones will be the dependent variable, or y.

This means in our graphing calculator, we will enter temperature in the first list and the number of cones in the second.

After drawing the scatter plot, we run the linear regression; we get the values for a and b in our equation, y = ax+b:

a = 5.08

b = 46.59

This gives us the equation y = 5.08x + 46.59.

Entering our temperature, 106, in for x gives us

y = 5.08(106) + 46.59 = 585.07 ≈ 585

5 0

3 years ago

Difference between rajarshi janak university and lumbini university

aliina [53]

Answer:

whatttt!!!!!!!!!!

Step-by-step explanation:

8 0

2 years ago

The length of the diagonal of a rectangle is 140−−−√ inches.

andrew11 [14]

Answer:

answer is second one

Step-by-step explanation:

The length is between 11 and 12 inches.

√140 = 11.83 inches

5 0

2 years ago

A CLOSER LOOK AT Compound Inequalities We previously learned that compound inequalities are two inequalities joined by the word

alex41 [277]

Answer:

The sign at the ticket booth should read "Guests that are under 3 years old or over 62 years old get free admission!"

Step-by-step explanation:

Compound inequalities are the combination of two inequalities by the words "or" or "and".

In the given example, the compound inequality is,

Guests that are under 3 years old and over 62 years old get free admission!

The given inequality can be broken into two individual inequalities as,

Inequality 1: Guests that are under 3 years old get free admission

Inequality 2: Guests that are over 62 years old get free admission

The above two inequalities are combined by "and" in the given compound inequality.

Now, "and" signifies that both the conditions or inequalities should be fulfilled at the same time. But a guest can either be under 3 years old or he/she should be older than 62. Both the conditions cannot be fulfilled at the same time and hence, the sign doesn't make any sense.

To correct the sign, "and" should be replaced with "or".

Therefore, the corrected sign at the ticked booth should read "Guests that are under 3 years old or over 62 years old get free admission!".

For more details, refer to the link:

brainly.com/question/20296065?referrer=searchResults

3 0

2 years ago