Answer:
0.0764
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:

What proportion of boxes is underweight (i.e., weigh less than 32 oz)?
This is the pvalue of Z when X = 32. So



has a pvalue of 0.0764, which is the correct answr
Answer:
$465 at Back Street
$515 at Main Street
Step-by-step explanation:
980 (total) - 50 (the difference between the two) = 930
930/2 = 465 (back street)
465 + 50 (the difference) = 515 ( main street)
CHECK: 465 + 515 = 980
Answer:
5x-6y-12=0
Step-by-step explanation:
...make y the subject y=-6/5x +2
...use the coefficient of x as the gradient,m=-6/5
...for a perpendicular line,find the negative reciprocal of the gradient,5/6
...sub into the eqn y= -1/m(x-a)+b
Sorry yo i just need points :/
So we have an equation:
2w=12-4w
Firstly, let's simplify, and divide all terms by 2:
w=6-2w
Now, we add 2w over to the other side:
3w=6
And finally, we divide both sides by 3:
w=2
Hope this helps!