The length of the entire rope is 64 inches as when it is cut into four pieces one is 16 therefore when multiplying 16 by four you should get the length of the entire rope which is 64.
Answer: The running time should at least 119.32 seconds to be in the top 5% of runners.
Step-by-step explanation:
Let X= random variable that represents the running time of men between 18 and 30 years of age.
As per given, X is normally distrusted with mean
and standard deviation
.
To find: x in top 5% i.e. we need to find x such that P(X<x)=95% or 0.95.
i.e. 

Since, z-value for 0.95 p-value ( one-tailed) =1.645
So,
Hence, the running time should at least 119.32 seconds to be in the top 5% of runners.
The 100,000 size is 10x the size of the 10,000 <span>model</span>.
Answer:
The correct answer is -2/9
Step-by-step explanation:
You can solve this by simply multiplying 5/6 and -4/15:

Answer:
12
Step-by-step explanation:
Let x be the number of gallons of water in lake Mead.
Given that there is 326099 gallons in 1 acre-foot, we calculate Mead's gallons as:

We now equate x to
;

Hence, a=12