Answer:
<u>There are 35 Men, 12 Children, and 18 Women</u>
Step-by-step explanation:
Men(M), Women(W) and Children(C)
We learn that:
M = 35
W = 1.5C , and
M+W+C = 65
----
M+W+C = 65
M+1.5C+C = 65
35+1.5C+C = 65
2.5C = 30
C = 12
If C=12 and W=1.5C, then W=18
----
<u>There are 35 Men, 12 Children, and 18 Women</u>
(35+12+18) = 65 participants
Figure out slope by using:
(y2-y1)/(x2-x1)
Plug in values:
29.98-15.49/50-25
Simplify:
14.49/25 = 0.5796
Then, use this ratio for the 40 lbs bag. So, then:
40*0.5796 = 23.184
So, your price for the 40 lbs bag should be $23.18 because cents only go up to 2 decimal places (otherwise, it would be $23.184).
Find the z-scores for the two scores in the given interval.

For the score x =391,

.
For the score x = 486,

Now you want the area (proportion of data) under the normal distribution from z = -1 to z = 0. The Empirical Rule says that 68% of the data falls between z = -1 to z = 1. But the curve is symmetrical around the vertical axis at z = 0, so the answer you want is HALF of 68%.
Answer:
160,000
Step-by-step explanation:
Estimations like this usually involve rounding to easy numbers to multiply. You could do this in a number of ways depending on your ability to keep track of factors in your head, but the easiest way (and what I assume your teacher is looking for) is to round to the nearest, largest-power-of-ten, which in this case is the hundreds. 786 is closest to 800, and 217 is closest to 200, and 200*800 is 160,000. No calculator required is the key. You can also be slightly more sure that this is <em>reasonable</em> because you rounded up for one and down for the other, approximately by the same amount, too.
Percentage = ( number used / total number) x 100
32/90 = 0.3555
0.3555 x 100 = 35.56%
Rounded to nearest tenth = 35.6%