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baherus [9]
3 years ago
8

SHIFT 2: 18 25 56 42 29 38 54 47 35 30. SHIFT 2: 23 19 50 49 67 34 30 59 40 33. SHIFT 3: 19 22 24 40 45 29 33 29 39 59. SHIFT 4:

21 23 25 40 35 19 70 40 22 23.    The summary statistics for all of the workers at a steel factory are shown. Four sample groups were taken from each of the four shifts. For which sample group is the mean closest to the population mean?

Mathematics
1 answer:
guapka [62]3 years ago
6 0
To answer this question you will need to calculate the mean for each of the Shifts and then compare those means to the mean of all the data given.  I have attached a picture of the means for each shift and the population mean (all the data).

Shift 1 is the closest to the population mean.  It is 37.4, and the population mean is 35.9.

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Hello! :)<br> Please help me. Thanks! <br> ~ Destiny ^_^
andrey2020 [161]

Answer:

720 in³

Step-by-step explanation:

The volume (V) of a right prism is calculated as

V = area of triangular end × length

area of Δ = \frac{1}{2} bh

where b is the base and h the perpendicular height

here b = 8 and h = 15, thus

area of Δ = 0.5 × 8 × 15 = 4 × 15 = 60 in²

The length of the prism is 12 in, hence

V = 60 × 12 = 720 in³

6 0
3 years ago
Round this decimal!<br><br> 0.4944
Otrada [13]

1) 0.494

2) 0. 49

3) 0.5

7 0
3 years ago
Dont answer this question if you dont know the answer
nekit [7.7K]

Answer:

C

Step-by-step explanation:

sin = 5/13

cos = 12/13

tan = 5/12

3 0
3 years ago
. A system may become infected by some spyware through the internet or e-mail. Seventy percent of the time the spyware arrives v
dem82 [27]

Answer:

This spyware is detected 66% of the time.

Step-by-step explanation:

We have these following percentages:

70% of the time, the spyware arrives via the internet, and in this case, is detected 60% of the time.

30% of the time, the spyware arrives via e-mail, and in this case, is detected 80% of the time.

What percentage of times is this spyware detected

Sum of 60% of 70%(arrived via spyware, detecte) and 80% of 30%(arrive via e-mail, detected). So

0.6*0.7 + 0.8*0.3 = 0.42 + 0.24 = 0.66

This spyware is detected 66% of the time.

3 0
3 years ago
A rectangular page is to contain 24 sq. in. of print. The margins at the top and bottom of the page are each 1.5 inches. The mar
suter [353]

Answer:

Dimensions of page should be width of 6 inches and height of 9 inches

Step-by-step explanation:

Let x be the width of the printed part in inches

Let y be height of the printed part in inches.

Thus, Area of printed part; A = xy

And area of printed part is given as 24.

Thus, xy = 24

Making y the subject, we have;

y = 24/x

Now, the question says the top and bottom margins are 1.5 inches.

Thus, width of page = x + 1 + 1 = x + 2

And also the margins on each side are both 1m in length, thus the height of page will be:

y + 1.5 + 1.5 = y + 3

So area of page will now be;

A = (x + 2)•(y+3)

From earlier, we got y = 24/x

Thus,plugging this into area of page, we have;

A = (x + 2)•((24/x)+3)

A = 24 + 3x + 48/x + 6

A = 30 + 3x + 48/x

For us to find the minimum dimensions, we have to find the derivative of A and equate to zero

Thus,

dA/dx = 3 - 48/x²

Thus, dA/dx = 0 will be

3 - 48/x² = 0

Multiply through by x²:

3x² - 48 = 0

Thus,

3x² = 48

x² = 48/3

x = √16

x = 4 inches

Plugging this into y = 24/x,we have;

y = 24/4 = 6 inches

We want dimensions of page at x = 4 and y = 6.

From earlier, width of page = x + 2.

Thus,width = 4 + 2 = 6 inches

Height = y + 3 = 6 + 3 = 9 inches

So dimensions of page should be width of 6 inches and height of 9 inches

4 0
3 years ago
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