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masha68 [24]
3 years ago
7

A set of test scores are normally distributed. The mean is 100 and the standard deviation is 20. These scores are converted to s

tandardized units. What are z-scores of the mean and median
Mathematics
1 answer:
Whitepunk [10]3 years ago
5 0

Answer:

The z-scores of both the mean and the median are zero.

Step-by-step explanation:

In a normal distribution, the mean and median values will be the same, in this case, 100. Therefore, both the mean and median will have the same score.

The z-score is given by:

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

For X = 100:

z=\frac{100-100}{20}\\ z=0

The z-scores of both the mean and the median are zero.

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Create an equation and solve. The cost of a concert ticket for a student is $2 less than one half of the cost for an adult. The
Sonja [21]

Answer: a=14

Step-by-step explanation:

Equation: 5=1/2a-2

7 0
3 years ago
Find the perimeter and area of the figure to the nearest hundredth use 3.14 for pi.
ZanzabumX [31]

Answer:

Perimeter = 36.84 ft

Area = = 64.26 ft²

Step-by-step explanation:

✔️Perimeter of the figure = the length of the surrounding border the rectangle + surrounding border of circle

Length for surrounding border of the rectangle = 3 + 3 + 3 + 3 + 3 + 3 = 18 ft

Surrounding border of a circle = circumference of a full circle (two half circle makes 1 full circle)

Circumference of the circle = πd

diameter (d) = 12 - (3 + 3) = 6 ft

π = 3.14

Circumference = 3.14*6

= 18.84 ft

✅Perimeter = 18 + 18.84 = 36.84 ft

✔️Area = area if the rectangle + area of the full circle

= L*W + πr²

L = 12 ft

W = 3 ft

π = 3.14

r = ½(6) = 3 ft

Plug in the values

Area = 12*3 + 3.14*3²

= 36 + 28.26

= 64.26 ft²

3 0
3 years ago
Terri is starting a babysitting service to make some extra money. She plans to charge a base fee of $10 plus $7 per hour. Write
antoniya [11.8K]

Given:

Terri plans to charge a base fee of $10 plus $7 per hour for babysitting.

To find:

The function that could be used to represent her total charge for the babysitting service, y, as a function of the number of hours she babysits, x.

Solution:

Let y be the total charge for the babysitting service for x hours.

Base fee = $10

Additional fee for one hour = $7

Additional fee for x hour = $7x

Total fee = Base fee + Additional fee for x hours

y=10+7x

Therefore, the equation of required function is y=10+7x.

6 0
3 years ago
An exercise machine with an original selling price of $700 is marked down by 21%. What is the sale price of the exercise machine
ruslelena [56]

Answer:

It’s 553 because u do 700 - 21% and that equals 553

Step-by-step explanation:

4 0
3 years ago
I need help thankssssss<br> s
qaws [65]

Answer:

28 units

Step-by-step explanation:

Since, given triangles have same perimeters.

\therefore \: 5x + 5x + 3x + 2 = 6x + 3 + 2x + 1 + 4x \\  \\ 13x + 2 = 12x + 4 \\  \\ 13x - 12x = 4 - 2 \\  \\ x =  2 \\  \\ \implies 12x + 2 = 12( 2) + 4 = 24 + 4 = 28 \: units \\  \\ \&\: 13x + 2 =13(2) + 2 = 26 + 2 = 28  \: units\\  \\

So perimeter of each triangle is 28 units

4 0
3 years ago
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