Answer:
Top 5% is 5.84 milliters and the bottom 5% is 5.60 millimeters.
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.
In this problem, we have that:
Top 5%:
X when Z has a pvalue of 0.95. So X when Z = 1.645
Bottom 5%:
X when Z has a pvalue of 0.05. So X when Z = -1.645
Top 5% is 5.84 milliters and the bottom 5% is 5.60 millimeters.
Answer:
The of depression between the cliff and the boat is 48.74 degrees.
Step-by-step explanation:
We have,
Height of the cliff is 200 foot
Distance of boat from the cliff is 175 feet
It is required to find the angle of depression between the cliff and the boat.
Here, 200 foot is perpendicular distance and 175 is base.
Using trigonometry :
So, the of depression between the cliff and the boat is 48.74 degrees.
So for every gallon he can drive 50 miles. So I think the slope would be 50/-1
I end up with 625pi(27^2-14^2)
=635pi(504)
=315000pi lb-ft
Answer:
The required equation is
d = 4c
where d represents the cost of cookies in dollar and c represents the number of boxes of cookies.
Step-by-step explanation:
Given that, the cost of each box of cookies is $4.
It means,
The cost of 1 box of cookies is $4.
The cost of 2 boxes of cookies is $(4+4) =$(2×4)
The cost of 3 boxes of cookies is $(4+4+4) =$(3×4)
The cost of cookies
=(Number of boxes × 4)
The required equation is
d = 4c
where d represents the cost of cookies in dollar and c represents the number of boxes of cookies.
