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3 years ago

The test scores of a geometry class are given below.

2 answers:

7 0

Variance is the difference of the number from the mean of the group of numbers then square it and find the average. In this case, we need to find the mean first. 90 + 75 + 72 + 88 + 85 = 410/5 = 82 . Now we must get the difference of each from the mean.
90 - 82 = 8
75 - 82 = -7
72 - 82 = -10
88 - 82 = 6
85 - 82 = 3
Next is to find the average of the square of the numbers.
(8^2) + (-7^2) + (-10^2) + (6^2) + (3^2) is
64 + 49 + 100 + 36 + 6 = 255. Next step is to simply divide it by 5. The numerator in calculating the variance is the sum of the square of the numbers which is 255.

Anni [7]3 years ago

4 0

Answer:

258

Step-by-step explanation:

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The perimeter of a square is 54cm. Find the length of a diagonal, rounding

andreyandreev [35.5K]

Answer:

B. 19.1cm

Step-by-step explanation:

Perimeter of a square = 4 × length

Perimeter = 54cm

Perimeter of a square = 4 × length

54 = 4 × length

54 = 4l

Divide both sides by 4

l = 54 / 4

= 13.5cm

Find the length of a diagonal,

Diagonal = hypotenuse

Using Pythagoras theorem

Hypotenuse^2 = opposite^2 + adjacent^2

Opposite = adjacent in a square because of the equal length

Opposite = adjacent = 13.5cm

Hypotenuse^2 = opposite^2 + adjacent^2

= 13.5^2 + 13.5^2

= 182.25 + 182.25

Hypotenuse^2 = 364.5

Find the square root of both sides

√Hypotenuse^2 = √ 364.5

Hypotenuse = 19.09cm

To the nearest tenth = 19.1cm

B. 19.1cm

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3 years ago

Peter and Angad win some money and share it in the ratio 6:1. Peter gets £30 more than Angad. How much did they get altogether?

Leno4ka [110]

£42 is the answer: Peter got 36 and Angad got 6.

Peter got 6 times as much as Angad. So, the difference between their amounts is five times what Angad got. That difference is 30, so Angad got 6. Peter got 30 more than that, which is 36. 36+6=42

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3 years ago

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Gwar [14]

Approximately 2 hours and 30 minutes

Give or take a few minutes

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4 years ago

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kaheart [24]

Answer:

Step-by-step explanation:

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Evaluate the following: 62 = (5 + 1). (5 points)<br> 6

vodomira [7]

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