# "Assume the average price of a laptop computer is ​\$775 with a standard deviation of ​\$75. The following data represent the prices of a sample of laptops at an electronics store. Calculate the​ z-score for each of the following prices" a. \$699 b. \$949 c. \$625 d. \$849 e. \$999

(a) -1.0133

(b) 2.32

(c) -2

(d) 0.9867

(e) 2.9867

Step-by-step explanation:

The z-score of a raw score X is a standardized score that follows a normal distribution with mean 0 and standard deviation 1.

The formula to compute the z-score is:

Given:

Mean (μ) = \$775

Standard deviation (σ) = \$75

(a)

For X = \$699 the z-score is:

(b)

For X = \$949 the z-score is:

(c)

For X = \$625 the z-score is:

(d)

For X = \$849 the z-score is:

(e)

For X = \$999 the z-score is:

a) -1.013

b) 2.32

c) -2

d) 0.9867

e) 2.9867

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = \$775

Standard Deviation, σ = \$75

We are given that the distribution of  average price of a laptop is a bell shaped distribution that is a normal distribution.

Formula:

We have to find z-score for corresponding

a. \$699

b. \$949

c. \$625

d. \$849

e. \$999

## Related Questions

A rectangular package can be sent through the mail only if the sum of its length and girth is not more than 120". find the dimensions of the box of maximum volume that can be sent if the base of the box is square.

The maximum volume package that may be shipped has dimensions of 24 inches by 24 inches by 24 inches. This box has a volume of 13,824 cubic inches.

What is the girth of a package?

The girth of a package is the distance around its perimeter. For a rectangular package, the girth is equal to the sum of the lengths of its four sides.

The sum of the length and girth of a rectangular package must be less than or equal to 120 inches. This means that the length of the package plus twice the width and twice the height must be less than or equal to 120 inches.

Since the base of the box is a square, the width and the height of the box are equal. Let's represent this dimension "x". The length of the box is also "x".

We can then write the following equation:

x + 2x + 2x = 120

Solving for x, we find that x = 24 inches.

The dimensions of the box of maximum volume that can be sent are therefore 24 inches by 24 inches by 24 inches. The volume of this box is 24 x 24 x 24 = 13,824 cubic inches.

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Knowing that a square gives the optimum area;

120=s²
√120=s
√2×2×2×5×3=s
2√2×3×5=s
2√30=s

Therefore, the length should be ≈10.95"

Hope I helped :)

Area of 4.24 3 3
In a triangle

4.5

Step-by-step explanation:

We can use heron's formula in this case:

let perimeter/2 be represented by

let represent each side length

Heron's formula is as follows:

Plug your numbers into the formula!

=

Please help! The length of a rectangle is 3 less than 4 times the width. The perimeter is 34. Find the length and width of the rectangle

Length (L): 4w - 3

width (w): w

Perimeter (P) = 2L + 2w

34 = 2(4w - 3) + 2(w)

34 = 8w - 6 + 2w

34 = 10w - 6

40 = 10w

4 = w

Length (L): 4w - 3   = 4(4) - 3   = 16 - 3   = 13

Find the sum or difference. [-8 -1 7 [-2 0 -2
0 9 2] + -4 5 -1]

-8+-17+-2+-2+-4+-1 = -34

0+0+9+2+5 = +16

-34
+16
------
= -18

What are two reasons a common measuring system is important

1) You can understand and work with other people's results, you can cooperate with other people in production of goods and check their experiments to see if they are correct.

2) It reduces errors since many people work towards specifying it exactly.

NIKE responded to criticism of the shoe industry’s use of contract labor by _____.

A. ignoring public criticism

Step-by-step explanation:

May 18, 1998. i think this is the answer

Solve for x if z+4/5=11

Solve for z. Isolate the z. Note the equal sign. What you do to one side, you do to the other side.

Subtract 4/5 from both sides

z + 4/5 (-4/5) = 11 (-4/5)

z = 10 5/5 - 4/5

Simplify

z = 10 1/5

hope this helps

For two variables that are inversely related, what is the result of doubling one variable

As they are inversely related, if one goes up, the other has to go down by the same factor. This means if one variable is doubled, the other would be halved.

the other variable is halved.

If an equation is an identity , then how many solutions does it have ?

Hello!

An Identity Equation can be represented using the following formula:

x = x

In other words, no matter what value you insert in place of X the equation will always be true. For example:

10 = 10
50= 50
1000000 = 1000000

Because the variable X has unlimited possibilities, an Identity Equation has infinitely many solutions.

I hope this helps!