Please answer it. I will give brainliest if its correct..

The set of life spans of an appliance is normally distributed with a mean mu = 48 months and a standard deviation sigma = 8 mont

Ahat [919]

The z-score of an appliance that stopped working at 64 months is 2.

The mean of observations is equal to the ratio of sum of all the observations and the number of observations.

Given, the set of life spans of an appliance is normally distributed with a mean mu = 48 months and a standard deviation sigma = 8 months

The z-score is then calculated as

z = x - μ /σ

For an appliance that stopped working at 64 months, we have

x = 64

On substituting the values, we get

z = 64-48/8

z = 2

Hence, the z-score of an appliance that stopped working at 64 months is 2

Learn more about mean.

brainly.com/question/11822836

#SPJ1

5 0

2 years ago

A school club needs 300 feet of rope for a project. They have the amounts of rope listed below.

Minchanka [31]

Answer:

43.25 feet.

Step-by-step explanation:

We have been given that school club needs 300 feet of rope for a project.

First of we will change given lengths of ropes in feet.

$\text{2 pieces of 16 yards}=2\times16\text{ yards}=32\text{ yards}$

1 yard =3 feet

32 yards= 3*32 feet = 96 feet.

12.5 yards = 3*12.5 feet = 37.5 feet.

Let us find the amount of rope school already have by adding all the given amounts.

$\text{Total amount of rope that school club already have}=96+37.5+123.25$

$\text{Total amount of rope that school club already have}=256.75$

Now let us subtract 256.75 feet from 300 feet to find the amount of rope that school club needs to complete the project.

$\text{Amount of rope school club needs to complete the project}=300-256.75$

$\text{Amount of rope school club needs to complete the project}=43.25$

Therefore, the school club needs 43.25 feet of additional rope to complete their project.

7 0

3 years ago

How do you turn 7 8/11 into a decimal?

Yakvenalex [24]

Convert the fractional part to a decimal, then add the result to the whole number part.
7.72727272

5 0

3 years ago

Read 2 more answers

Find the average squared distance between the points of r{(x,y): 0x, 0y} and the point (,)

ivolga24 [154]

The average squared distance between the points is their variance

The average squared distance is 8/3

<h3>How to determine the average squared distance?</h3>

The given parameters are:

R={(x,y): 0<=x<=2, 0<=y<=2}

The point = (2,2).

f(x,y) = (x-2)² + (y-2)²

The squared distance is calculated as:

D² = f(x,y) = (x-2)² + (y-2)²

Where the area (A) is:

A = xy

Substitute the maximum values of x and y in A = xy

A = 2 * 2

A = 4

The minimum values of x and y are 0.

So, the limits for the integrals are 0 to 2

The integral becomes

$D\² = \int \int (x-2)\² + (y-2)\² dx dy$

Expand

$D\² = \int \int x\² -4x + 4 + (y-2)\² dx dy$

Evaluate the inner integral with respect to x from 0 to 2

$D\² = \int \frac 13x^3 -2x^2 + 4x + x(y-2)\² |\limits^2_0 dy$

Expand

$D\² = \int [\frac 13(2)^3 -2(2)^2 + 4(2) + (2)(y-2)\²] dy$

Simplify

$D\² = \int \frac 83 + (2)(y-2)\² dy$

Expand

$D\² = \int \frac 83 + 2y^2-8y + 8 \ dy$

Evaluate the integral with respect to y from 0 to 2

$D\² = [\frac 83y + \frac 23y^3- 4y^2 + 8y ]|\limits^2_0$

Expand

$D\² = \frac 83*2 + \frac 23*2^3- 4*2^2 + 8*2$

D² = 32/3

The average squared distance (AD²) is calculated as:

AD² = D²/A

So, we have:

AD² = 32/3 $\div$ 4

Evaluate the quotient

AD² = 32/12

Simplify

AD² = 8/3

Hence, the average squared distance is 8/3

Read more about average distance or variance at:

brainly.com/question/15858152

8 0

3 years ago

Find the percent of the number.<br> 30% of 30 is<br> Explain your method.

nirvana33 [79]

Answer:

The answer would be 9

Step-by-step explanation:

Step 1: Our output value is 30.

Step 2: We represent the unknown value with $x$.

Step 3: From step 1 above,$30=100\%$.

Step 4: Similarly, $x=30\%$.

Step 5: This results in a pair of simple equations:

Step 6: By dividing equation 1 by equation 2 and noting that both the RHS (right hand side) of both

equations have the same unit (%); we have

Step 7: Again, the reciprocal of both sides gives

Therefore, 30% of 30 is 9

8 0

3 years ago

Read 2 more answers