Convert the improper fraction to a mixed number.

Mathematics

1 answer:

DerKrebs [107]3 years ago

5 0

Answer:

5 2/3 (which is Answer B)

Step-by-step explanation:

17/3 is an improper fraction; the numerator is greater than the denominator.

Dividing 17 by 3, we get 5 2/3 (which is Answer B).

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What is the estimated margin of error, using standard deviation?

OLEGan [10]

Find the mean ( average):
105 + 104 + 110 + 112 + 114 + 106 + 108 +109 = 868
Mean = 868 / 8 = 108.5

Standard deviation:
108.5 - 105 = 3.5, 3.5^2 = 12.25
108.5 - 104 = 4, 4^2 = 16
110 - 108.5 = 1.5, 1.5^2 = 2.25
112 - 108.5 = 3.5, 3.5^2 = 12.25
114 - 108.5 = 5.5, 5.5^2 = 30.25
108.5 - 106 = 2.5, 2.5^2 = 6.25
108.5 - 108 = 0.5, 0.5^2 = 0.25
109 - 108.5 = 0.5, 0.5^2 = 0.25

12.25 + 16 +2.25 + 12.25 + 30.25 +6.25+0.25+0.25 = 79.75
79.75/8 = 9.96875, SQRT(9.96875) = 3.1573

Standard Deviation = 3.1573

108.8 +/- 1.96 *(3.1573/sqrt(8) = 110.687 and 106.312

110.687 - 108.5 = 2.19
108.5 - 106.312 = 2.19

Margin of error = +/- 2.19

3 0

3 years ago

5(x – 10) = 30 – 15x Solve

Doss [256]

Answer:

x=4

Step-by-step explanation:

5(x-10) = 30- 15x

5x - 50= 30 - 15x

+15x +15x

20x - 50 = 30

+50 +50

20x = 80

/20 /20

x = 4

Hope this helps!

7 0

3 years ago

Draw and shade figures that represent 50%, 25%, and 150%. Label each figure and described it in words. How do I answer this ques

muminat

See photo for drawing.
Words:
Suppose a square is 100%,
50%: the square is divided into two equal parts, and one of them is shaded, therefore it is 50%.
25%: the square is divided into 4 equal parts, and one of them is shaded, therefore it is 25%.
150%: there are two squares, each divided into 2 equal parts, and 3 of them is shadowed, therefore it is 150%.