Jummai and Tunde will each have 9 and 6 bananas respectively.
For the given ratio case we use the sharing ratio criterion to solve the problem.
Jummai is 12 years old.
Tunde is 8 years old.
Their ages are in ratio of;
A = 12 : 8
A = 3 : 2
The ratio's sum is 5.
15 bananas total are available for sharing.
Jummai will have
bananas
= (15 x 3/5) = 9
Tunde will have
bananas
= (15 x 2/5) = 6
Jummai and Tunde will each have 9 and 6 bananas with them.
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Answer:
And rounded up we have that n=99
Step-by-step explanation:
Previous concepts
A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".
The margin of error is the range of values below and above the sample statistic in a confidence interval.
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
Solution to the problem
In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 99% of confidence, our significance level would be given by
and
. And the critical value would be given by:
The margin of error for the proportion interval is given by this formula:
(a)
And on this case we have that
and we are interested in order to find the value of n, if we solve n from equation (a) we got:
(b)
We assume the value for
since we don't have previous info. And replacing into equation (b) the values from part a we got:
And rounded up we have that n=99
Answer:
156 ft^3
Step-by-step explanation:
1) find the volume of the parallelepiped:
V = side^2 x height = 6^2 x 3 = 108 ft^3
2) find the base area of the pyramid:
base area = side^2 = 6^2 = 36 ft^2
3) find the volume of the pyramid:
V = (base area x height)/3 = (36 x 4)/3 = 48 ft^3
4) find the total volume
V = 108 + 48 = 156 ft^3