Answer:
9 miles
Step-by-step explanation:
mean is calculated as
mean =
, then
= 5.7 ( multiply both sides by 10 )
sum = 57
let x be the distance he needs to cover so mean is 6 , that is
= 6 ( multiply both sides by 11 )
sum + x = 66 , that is
57 + x = 66 ( subtract 57 from both sides )
x = 9
That is he would have to run 9 miles
Answer:
546
Step-by-step explanation:
Surface Area = 2(lw + lh + wh)
plug in 21 10.5 and 2.5
The square will have area
.. (9 cm)^2 = 81 cm^2.
The two triangles together will have area
.. (9 cm)*(12 cm) = 108 cm^2.
The sum of the areas of those three shapes is
.. 81 cm^2 +108 cm^2 = 189 cm^2
Answer:
(D) Pie chart
Step-by-step explanation:
The most appropriate method to represent the resulting data is the pie chart. This is because, in this sample, the variables are few and of nominal type.
Of the rest of the options, the only other that could be used is the histogram, since it can represent nominal variables with their corresponding frequency. The rest of the options have other uses not appropriate for this type of sample.
Answer:
C. unlikely
Step-by-step explanation:
Problems of normally distributed samples can be solved using the z-score formula.
In a set with mean
and standard deviation
, the zscore of a measure X is given by:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
A probability is said to be extremely likely if it is 95% or higher, and extremely unlikely if it is 5% or lower. A probabilty higher than 50% and lower than 95% is said to be likely, and higher than 5% and lower than 50% is said to be unlikely.
In this problem, we have that:

How likely is it that a single survey would return a mean of 30%?
We have to find the pvalue of Z when X = 0.30.



has a pvalue of 0.1587.
So the correct answer is:
C. unlikely