Answer:
For this type of question you might want to give a domain in a set statement
ie.24 is less than 2(13,14,15,...)
<em><u>Or</u></em>
<em>If</em><em> </em><em>my</em><em> </em><em>fi</em><em>rst</em><em> </em><em>answer</em><em> </em><em>was</em><em> </em><em>a</em><em> </em><em>deviation</em><em> </em><em>then</em><em> </em><em> you</em><em> </em><em>were</em><em> </em><em>proba</em><em>bly</em><em> </em><em>being</em><em> </em><em>ask</em><em>ed</em><em> to</em><em> </em><em>subt</em><em>ract</em><em> </em><em>2</em><em>4</em><em> </em><em>fro</em><em>m</em><em> </em><em>2</em><em>t</em><em>i</em><em>m</em><em>e</em><em>s</em><em> </em><em>a</em><em> </em><em>giv</em><em>en</em><em> </em><em>num</em><em>ber</em><em> </em><em>being</em><em> </em><em>repres</em><em>e</em><em>nted</em><em> </em><em> </em><em>by</em><em> </em><em>the</em><em> </em><em>varia</em><em>ble</em><em> </em><em>x</em>
Answer:
86%
Step-by-step explanation:
Let g represent the mean mark for the 10 girls in the class. Then the mean mark for the class was ...
10g +20(62%) = 30(70%)
g = 3(.7) -2(.62) . . . . . . . . . divide by 10 and subtract 2(.62)
g = .86 = 86%
The mean mark for girls was 86%.
_____
You can do this in your head if you consider it in terms of deviations from the mean. The second equation above can be rewritten and factored as ...
g = 70% +2(70% -62%)
That is, because there are 2 boys for every girl, the girl's score is above the mean by an amount that is 2 times the amount that the boy's score is below the mean. The boys' score is below by 8%, so the girls' score is above by 16%, so is 86%.
The common factor would be 3 because 3 is the highest multiple of 15 and 9
Answer:
The lateral area is 392.5 sq. inches.
Step-by-step explanation:
The pipe is in a shape of a cylinder. The lateral area formula for a cylinder is:
Lateral Area = 
Where
r is the radius (half of diameter)
h is the height
Given, diameter = 5
so,
radius = 5/2 = 2.5
Also,
height = 25 inches (same as length, here)
Now we use 3.14 for
and substitute the values to get the lateral area:
Lateral Area = 
The lateral area is 392.5 sq. inches.