In one game, the ratio of three-point baskets to three-point tries for one team was 3:8. If the team scored 27 points from three
1 answer:
Since we’ve been given a ratio, 3:8, we can convert that into a fraction and form an equation from it:
=
The reason the numerator on the second fraction is 27/3 is because the team scored 27 points, not 27 baskets.
Simplify (Also replace the ? with an unknown variable):
=
Cross multiply:
3*n = 9*8
Simplify:
3n = 72
Divide both sides by 3:
n = 24
The team had 33 three point tries, 9 successes, and 24 fails.
-T.B.
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Answer:
She needs to sample 189 trees.
Step-by-step explanation:
We have that to find our level, that is the subtraction of 1 by the confidence interval divided by 2. So:
Now, we have to find z in the Ztable as such z has a pvalue of .
That is z with a pvalue of , so Z = 1.96.
Now, find the margin of error M as such
In which is the standard deviation of the population and n is the size of the sample.
The standard deviation of the population is 70 peaches per tree.
This means that
How many trees does she need to sample to obtain an average accurate to within 10 peaches per tree?
She needs to sample n trees.
n is found when M = 10. So
Dividing both sides by 10:
Rounding up:
She needs to sample 189 trees.