I 8. Classify 8 as a perfect square, a perfect cube, both, or neither.

Mathematics

1 answer:

Murljashka [212]4 years ago

7 0

Answer:

It's a perfect cube, but not a perfect square.

Step-by-step explanation:

2^3 = 8, meaning 8 is a perfect cube. But since 2^2 = 4 and 3^2 = 9, and 8 is in between, 8 is not a perfect square.

I hope this helped.

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Answer Each Of The Questions For The Following Diagram

kondor19780726 [428]

Answer:

They are vertical angles

x = 5

The mesure of the angles are 35, 35, 145, and 145

Step-by-step explanation:

vertical angles are derectly acrost from each other.

the equations 3x+20 and 10x-15, put into the equation 3x+20=10x-15 will solve for x.

20 = 10x − 15 − 3x

20 = 7x - 15

20 + 15 = 7x

35 = 7x

35/7 = x

5 = x

x = 5

The equations solved are 3 x 5 + 20 = 35 and 10 x 5 - 15 = 35

The sum of all the angles is 360, therefore 35 + 35 = 70

360 - 70 = 290

290/2 = 145

The last two angles are 145 degrees

5 0

3 years ago

Four students took a national standardized test for which the mean was 500 and the standard deviation was 100. Their scores were

Len [333]

To get the z-value of the scores of the four students, we are going to use the formula for standard score or z-score. It is score minus the mean score, then divided by standard deviation.

z= Score (X)-Mean / SD

To find the z-value of each score, we have to use a Z table. Using the z-score, we are to look first at the y-axis of the table which will highlight the first two digits of the z-score. Then, the x-axis for the second decimal place of the z-score.

You can use this as reference for the z-table: http://www.stat.ufl.edu/~athienit/Tables/Ztable.pdf

Mean= 500SD= 100Scores= 560, 450, 640, 530
For the student who scored 560,z= X-Mean / SDz= 560-500 / 100z= 60 / 100z= 0.6
The score is 0.6 standard deviation above the mean. The z-value is 0.7257 or 72.57%.
For the student who scored 450,z= X-Mean / SDz= 450-500 / 100z= -50 / 100z= -0.5
The score is -0.5 standard deviation above the mean. The z-value is 0.3085 or 30.85%.

For the student who scored 640,z= X-Mean / SDz= 640-500 / 100z= 140 / 100z= 1.4
The score is 1.4 standard deviation above the mean. The z-value is 0.9192 or 91.92%.
For the student who scored 530,z= X-Mean / SDz= 530-500 / 100z= 30 / 100z= 0.3
The score is 0.3 standard deviation above the mean. The z-value is 0.6179 or 61.79%.

8 0

3 years ago

Read 2 more answers

Find the dimensions of the green space if its length must be 40 ft less than twice its

dsp73

Answer:

Step-by-step explanation:

Let the width be X ft

Length = 2x - 40

Total area = 33,600 sq.ft

length * width = 33,600

(2x - 40) * x = 33,600