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melamori03 [73]
2 years ago
13

Find the variance of the set of data to the nearest tenth: 5, 8, 2, 9, 4

Mathematics
1 answer:
Orlov [11]2 years ago
7 0

Answer:

Therefore the variance on the data set is 8.3

Step-by-step explanation:

In order to find the variance of the set of data we first need to calculate the mean of the set, which is given by:

mean = sum of each element / number of elements

mean = (5 + 8 + 2 + 9 + 4)/5 = 5.6

We can now find the variance by applying the following formula:

s^{2} = \frac{\sum_{(i=1)}^n(x_i - mean)^2}{n -1}

So applying the data from the problem we have:

s² = [(5 - 5.6)² + (8 - 5.6)² + (2 - 5.6)² + (9 - 5.6)² + (4 - 5.6)²]/(5 - 1)

s² = [(-0.6)² + (2.4)² + (-3.6)² + (3.4)² + (-1.6)²]/4

s² = [0.36 + 5.76 + 12.96 + 11.56 + 2.56]/4 = 8.3

Therefore the variance on the data set is 8.3

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andreev551 [17]
Answer is B. 4,096

I encountered this problem before. This is a trick question.
84 is not really the number 84. It is 8 raised to the 4th power.

So 8⁴ is equal to 4,096.

8 x 8 x 8 x 8 = 4,096

    8 x 8 =      64
  64 x 8 =    512
512 x 8 = 4,096




6 0
3 years ago
The polynomial 3x ^ 3 - 16x ^ 2 + 31x - 20 the area of a trapezoidal desktop . Of the bases of the x ^ 3 - 5x the height of the
vaieri [72.5K]

Answer:

Step-by-step explanation:

Given:

Area = 3x^3 - 16x^2 + 31x - 20

Base:

x^3 - 5x

Area of trapezoid, S = 1/2 × (A + B) × h

Using long division,

(2 × (3x^3 - 16x^2 + 31x - 20))/x^3 - 5x

= (6x^3 - 32x^2 + 62x - 40))/x^3 - 5x = 6 - (32x^2 - 92x + 40)/x^3 - 5x = 2S/Bh - Ah/Bh

= 2S/Bh - A/B

= (2S/B × 1/h) - A/B

Since, x^3 - 5x = B

Comparing the above,

A = 32x^2 - 92x + 40

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Therefore, h = 1

6 0
3 years ago
Cantaloupes are on sale at four different stores. Which store offers the lowest unit rate for cantaloupes, in dollars per pound?
dusya [7]

Given :

Fresh Farm: $4.50 for 5 lbs

Fruit Garden: $1/5 for 1/3 lb

Mother Nature: $4 for 5 lbs

Country Market: $0.85 per pound

To Find :

Which store offers the lowest unit rate for cantaloupes, in dollars per pound.

Solution :

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Mother Nature: 4/5 = $0.8 per pound

Country Market: $0.85 per pound

From above we can see that Fruit Garden offers lowest unit rate.

Hence, this is the required solution.

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3 years ago
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faltersainse [42]

Answer:

no statement

Step-by-step explanation:

List the statements pls

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