Answer:
Lower limit: 113.28
Upper limit: 126.72
Step-by-step explanation:
Problems of normally distributed samples are 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.
In this problem, we have that:

Middle 60%
So it goes from X when Z has a pvalue of 0.5 - 0.6/2 = 0.2 to X when Z has a pvalue of 0.5 + 0.6/2 = 0.8
Lower limit
X when Z has a pvalue of 0.20. So X when 




Upper limit
X when Z has a pvalue of 0.80. So X when 




Answer:
True
Step-by-step explanation:
In Prime factorization, we are expected to obtain factors that are prime numbers that can multiply themselves to give the original number. So long as the first factor can divide the number without a remainder, other remaining factors can be multiplied together to give the original number.
Prime factorization of the number, 15 goes thus;
15/3=5
5/5=1
3*5=15
So, all the factors multiply to give the original number.
Answer:
The correct options are:
x= -1.1
x= 2.4
x = 6
Step-by-step explanation:
The roots of any polynomial can easily be determined by the graph. To find the roots from the graph, we just have to see the values of x, for which the value of whole polynomial becomes 0.
We can see in the graph that there are three points where the value of polynomial becomes 0. that are
At x= -1.1
At x= 2.4
At x = 6
Thus, these are the roots
6 miles as 31678 feet is 5 miles
Answer:
31/15 or 2 1/15
Step-by-step explanation:
The common denominator is 15. Convert both to an improper fraction and simplify.