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Tatiana [17]
3 years ago
8

The following are quiz scores: 85, 88, 89, 96, 91, 77, 79, 98, 86, 99. What is the standard deviation of the given test scores?

Mathematics
1 answer:
ArbitrLikvidat [17]3 years ago
5 0

Answer:

7.1

Step-by-step explanation:

- Find mean

- For each number you subtract the mean and square the result.

- Work out the mean of those squared differences and find square root of that.

- Hope that helped! Let me know if you need further explanation.

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7. Which dimensions result in the minimum perimeter for a rectangle with area 42.0 cm2?
natali 33 [55]

9514 1404 393

Answer:

  7. d. l = 6.48 cm, w = 6.48 cm

  8. d. square

Step-by-step explanation:

For a given area, the perimeter can always be shortened by reducing the length of the long side and increasing the length of the short side. When you get to the point where you can't do that, then you have the minimum perimeter. You will reach that point when the sides are the same length: the rectangle is a square.

__

7. In light of the above, the best dimensions are √42 ≈ 6.48 cm for length and width.

__

8. In light of the above, the shape is a square.

_____

The attached graph shows the length of one side (x) and the associated perimeter. The other side is 42/x, which will also be 6.48.

8 0
3 years ago
Why is the equation y-y1=m(x-x1) called the point-slope form?
MatroZZZ [7]

Answer:

The equation of the line with slope m = 2 and passing through the point (1, 1) will be:

y = 2x

Step-by-step explanation:

We know that the point-slope form of the line equation is

y-y_1=m\left(x-x_1\right)

where

  • m is the slope of the line
  • (x₁, y₁) is the point

The formula y-y_1=m\left(x-x_1\right) is termed as the point-slope form of the line equation because if we know one point on a certain line and the slope of that line, then we can easily get the line equation with this formula and, hence, determine all other points on the line.

For example, if we are given the point (1, 1) and slope m = 2

Then substituting the values m = 2 and the point (1, 2)

y-y_1=m\left(x-x_1\right)

y - 2 = 2(x-1)

y - 2 = 2x-2

y = 2x-2+2

y = 2x

Therefore, the equation of the line with slope m = 2 and passing through the point (1, 1) will be:

y = 2x

5 0
2 years ago
What is the effect on the graph of the function () =
hjlf

Answer:

a

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
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krok68 [10]

Answer:

B 2 \sqrt[3]{3}

Step-by-step explanation:

24 ^ 1/3

WE know that (ab) ^ c = a^ c * b*c

24 ^ 1/3  = 8^1/3 * 3 ^1/3

              = 2  * 3 ^1/3

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3 years ago
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Kim discovered it would cost a total of $4,500 for her to take her family on a vacation. She
Llana [10]

Answer:

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Step-by-step explanation:

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