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erik [133]
2 years ago
10

In a shipment of 850 widgets, 32 are found to be defective. At this rate, how many defective widgets could be expected in 22,000

widgets? Round to the nearest whole number.
Mathematics
1 answer:
Kobotan [32]2 years ago
3 0
You can solve this using fractions, and say that 32/850 are defective. To find the amount of defective widgets out of 22,000, we can then multiply to make the denominator 22,000. To work out what we need to multiply by, we can just do 22,000 ÷ 850 = 25.88. Now if we multiply 32 by 25.88, we get our answer as 828 widgets.

I hope this helps!
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Boden is making a prize wheel for the school fair. The ratio of winning spaces to losing spaces is shown in the diagram. The tab
IceJOKER [234]

The correct answers are Losing 12; Winning 15

Explanation:

The ratio of winning to losing is 5: 6 or 5/6. This means for every 5 winning spaces in the wheel there are 6 losing spaces. This ration should be used to complete the values of the table.

1. The first row shows there are 10 winning and you need to calculate the number of losing spaces. The process is shown below.

\frac{5}{6} = \frac{10}{x} - Express the ratios using fractions; use x to show the missing value

5x = 60 - Cross multiply to find the value of x

x = 60 / 5 - Solve the equation to find x

x = 12 - The number of losing is 12 if there are 10 winning spaces

2. The second row shows there are 18 losing spaces, and you need to calculate the number of winning spaces. Repeat the process.

\frac{5}{6} = \frac{x}{18}

6x = 90

x = 90 / 6

x =15 - The number of winning spaces is 15 if there are 18 losing spaces

6 0
2 years ago
Read 2 more answers
Find the standard deviation of the following data. Answers are rounded to the nearest tenth. 5, 5, 6, 12, 13, 26, 37, 49, 51, 56
kogti [31]

Answer:

24.2(to the nearest tenth)

Step-by-step explanation:

The question is ungrouped data type

standard deviation =√ [∑ (x-μ)² / n]

mean (μ)=∑x/n

           = \frac{5+5+6+12+13+26+37+49+51+56+56+84}{12}

          =33.3

x-μ   for data 5, 5, 6, 12, 13, 26, 37, 49, 51, 56, 56, 84 will be

                   -28.3, -28.3, -27.3, -21.3, -7.3, 3.7, 15.7,17.7, 22.7,22.7,50.7

(x-μ)² will be 800.89, 800.89,745.29,453.69,53.29,13.69,246.49,313.29,515.29,515.29,2570.49

∑ (x-μ)² will be = 7028.59

standard deviation = √(7028.59 / 12)

                      =24.2

     

6 0
2 years ago
A bike wheel is 26 inches in diameter. What is the bike wheel's diameter in millimeters (1 inch = 25.4 millimeters)?
ruslelena [56]

Answer:

Diameter of wheel in millimetres is 660.4

Step-by-step explanation:

Diameter of wheel in inches = 26

given

1 inch = 25.4 millimeters

multiplying RHS and LHS by 26

26*1 inch = 26*25.4 millimeters

=>26 inch = 660.4 mm.

Thus, diameter of wheel in millimetres is 660.4

3 0
2 years ago
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Elanso [62]
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2 years ago
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Find the nth term of: 11, 18, 37, 74, 135
storchak [24]
The nth term is 6n^2-11n+16
6 0
2 years ago
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