Answer:
Median: 25.5
Mean: 22
Step-by-step explanation:
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Answer:
9 times 8x9=72
Step-by-step explanation:
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An absolute value equation to find the minimum and maximum acceptable nail length is; 31/32 ≤ X ≤ 1 ¹/₃₂
<h3>How to solve absolute value functions?</h3>
We are told that the company manufactures 2 nails that are 1 inch in length. The actual length is allowed to vary by up to 1/32 inch. Thus;
Actual Length of nail = 1 inch
Allowable variation = 1/32 inches
The minimum allowable length is expressed as:
minimum allowable length = actual length - allowable variation
minimum allowable length = 1 - (1/32) = 31/32
The maximum allowable length is expressed as:
Maximum allowable length = Actual length + allowable variation
Maximum allowable length = 1 + (1/32) = 1 ¹/₃₂
The length of X, of the nail must be follow the equation :
Minimum ≤ X ≤ maximum
Thus, an absolute value equation to find the minimum and maximum acceptable nail length is; 31/32 ≤ X ≤ 1 ¹/₃₂
Read more about Absolute Value functions at; brainly.com/question/3381225
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Answer:
<u>8 home theaters are sold for each $ 500 spent on advertising </u>
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
Advertising ($) 1,000 - $ 2,000 - $ 3,000
Home Theaters 16 - 32 - 48
2. How many home theaters does the company sell for each $500 spent on advertising?
As we can see in the graph:
16 home theaters are sold when the amount on advertising is $ 1,000
32 home theaters are sold when the amount on advertising is $ 2,000
48 home theaters are sold when the amount on advertising is $ 3,000
Therefore, we can use this ratio:
x = Number of home theaters that are sold when the amount on advertising is $ 500
16/1,000 = x/500
1,000x = 500 *16
1,000x = 8,000
x = 8,000/1,000
<u>x = 8</u>
Answer:
Step-by-step explanation:
The length of the arc is proportional to the degree measure it in encompasses. Since there are 360 degrees in a circle and the arc is 120 degrees, the arc's length will be 
of the circle's length (circumference).
The circumference of a circle is given by 
, where 
is the radius of the circle. Therefore, the circumference of the circle is 
. As we found earlier, the length of the arc is 
of this circumference. Therefore, the arc's length is 
.
To the nearest integer, this is 
.
