9514 1404 393
Answer:
7.25 ounces
Step-by-step explanation:
The sum of weights is the mean weight times the number of apples.
sum of 9 = 7.5×9 = 67.5 . . . ounces
sum of 3 = 8×3 = 24 . . . ounces
Then the sum of the weights of the remaining 6 is ...
67.5 -24 = 43.5 . . . ounces
The mean weight of those 6 is ...
(total weight of 6)/6 = mean weight of 6
(43.5 oz)/(6) = 7.25 oz
The mean weight of the other 6 is 7.25 oz.
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<em>Additional comment</em>
If some have an average weight that is greater than the mean of all, the remaining must have an average weight that is less than the mean of all.
The given values are:
p = 22% = 0.22
Zc = 1.645 at 90% confidence level.
margin of error, E = 0.04
The formula we can use here is:
E = sqrt(pq/n) * Zc
0.04 = sqrt(0.22*(1-0.22)/n)*1.645
n = (0.22*(1-0.22))*(1.645/0.04)^2
n = 290.22
hence minimum sample size = 290
Answer:
12.
Step-by-step explanation:
According to Pythagorean's Theorem, x^2+25=169. If you subtract 25 from both sides, you might get x^2=144. You then square both sides and get that x=12.
Recall all interior angles in a triangle add up to 180°, therefore