10 boxes of paper at 6 lbs each = (10 * 6) = 60 lbs
36 boxes of pens at 12 oz each = (36 * 12) = 432 oz.
there are 16 oz in 1 lb....so 432 oz = (432/16) = 27 lbs.
so we have a total weight of (60 + 27) = 87 lbs
shipping charges : $ 12 for first 20 lbs, $ 10 for the next 30 lbs....so thats 50 lbs...leaving 37 lbs at 0.50 per lb = 37(0.50) = $ 18.50
for a total of : 12 + 10 + 18.50 = $ 40.50 <==
Answer:
0.1056 = 10.56% probability that the concentration exceeds 0.60
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:

What is the probability that the concentration exceeds 0.60?
This is 1 subtracted by the pvalue of Z when X = 0.6. So



has a pvalue of 0.8944
1 - 0.8944 = 0.1056
0.1056 = 10.56% probability that the concentration exceeds 0.60
The answer is y=3x.
y=21, x=7
y=mx (m is the variable for slope)
21=m(7)
m=21/7
m=3
There aer infinite numbers
to make it easier we can solve for y
2x-8y=-4
x-4y=-2
-4y=-x-2
y=(1/4)x+(1/2)
some values aer
x=0, y=1/2
x=-2, y=0
etc