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lukranit [14]
2 years ago
14

Class a had a mean score of 7.8 and a standard deviation of 1 class b had a mean score of 8.1 and a standard deviation of 0.2 wh

ich class scored better on average?
Mathematics
1 answer:
Karo-lina-s [1.5K]2 years ago
6 0

Class 2 scored better on average

<h3>How to determine which class scored better on average?</h3>

The averages and the standard deviations are given as:

Class 1

Mean score = 7.8

Standard deviation = 1

Class 2

Mean score = 8.1

Standard deviation = 0.2

As a general rule, the smaller the standard deviation; the better the average

Class 2 has a smaller deviation

Hence, class 2 scored better on average

Read more about standard deviation at:

brainly.com/question/28061243

#SPJ1

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3 years ago
A company is manufacturing an open-top rectangular box. They have 30 cm by 16 cm sheets of material. The bins are made by cuttin
Natalija [7]

Answer:

a. (30 - 2x)(16 - 2x)x. b. length 21.2 cm , width = 7.2 cm and height x = 4.4 cm

Step-by-step explanation:

a. Let x be the side of the squares to be cut from each corner. Since we have two corners on each side, the length of the resulting box from the 30 cm by 16 cm sheet is L = 30 - 2x. Its breadth is B = 16 - 2x. The height of the resulting box is x. So its volume V = LBx = (30 - 2x)(16 - 2x)x.

b. To find the maximum value of V, we differentiate V with respect to x and equate it to zero.

So, dV/dx = 0

d(30 - 2x)(16 - 2x)x/dx = 0

-2(16 - 2x)x + (-2)(30 - 2x)x + (30 - 2x)(16 - 2x) = 0

32x + 4x² - 60x - 4x² + 480 - 60x - 32x + 4x² = 0

4x²- 120x + 450 = 0

x²- 30x + 112.5 = 0

Using the quadratic formula, we find x. So, with a = 1, b = - 15 and c = 112.5,

x = \frac{-(-30)+/-\sqrt{(-30)^{2} - 4 X 1 X 112.5} }{2 X 1} \\= \frac{30+/-\sqrt{900 - 450} }{2}\\ = \frac{30+/-\sqrt{450} }{2}\\ = \frac{30+/-21.21 }{2}\\\\ = \frac{30+21.21 }{2}   or  \frac{30-21.21 }{2}\\ = \frac{51.21 }{2}   or  \frac{8.79}{2}\\ = 25.605 or 4.395

x ≅ 25.61 or 4.4

V = (30 - 2x)(16 - 2x)x

Substituting the values of x into L and B, we have )x

L = (30 - 2x) = (30 - 2(25.61)) = 30 - 51.22 = -21.22

B = (16 - 2x) = (16 - 2(25.61)) = 16 - 51.22 = -35.22

Since L and B cannot be negative, we use the other value for x = 4.4, So

L = (30 - 2x) = (30 - 2(4.4)) = 30 - 8.8 = 21.2

B = (16 - 2x) = (16 - 2(4.4)) = 16 - 8.8 = 7.2

So V = LBx = 21.2 × 7.2 × 4.4 = 671.62 cm³

3 0
3 years ago
0. Kevin needs to buy shrubs for his yard. Six shrubs at the nursery cost $72.00. At the garden
Elanso [62]

Answer:

72÷6=12

so at the nursery it cost $12 per shrub

66÷6=11

so at the store it cost $11 per shrub

so if you buy 21 shrubs from the nursery it will cost: 12×21=$252

but if you buy 21 shrubs from the store it only cost: 11×21=$231

$252-$231=$21

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