Answer:
The cutoff sales level is 10.7436 millions of dollars
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:

15th percentile:
X when Z has a pvalue of 0.15. So X when Z = -1.047.




The cutoff sales level is 10.7436 millions of dollars
Answer:
$12
Step-by-step explanation:
amount of tax = $0.72
percent of tax= 6%
Let the original cost be x
so that
6% of x= 0.72
solve for x
6/100*x= 0.72
0.06x= 0.72
divide both sides by 0.06
x= 0.72/0.06
x=$12
Hence the cost is $12
Answer:
y= x-4
Step-by-step explanation:
Since we have a point, and the slope, we can use the point slope formula

m is the slope, y1 is the y coordinate of the point and x1 is the x coordinate of the point.
We know that m is 1, y1 is 1, and x1 is 5, so we can substitute them in
y-1=1(x-5)
Solve for y by isolating it
Distribute the 1
y-1=1*x+ 1*-5
y-1=x-5
Add 1 to both sides
y=x-4
Answer:
x = -5
Step-by-step explanation:
4-2(x+7)=3(x+5)
Distribute
4 -2x-14 = 3x+15
Combine like terms
-2x-10 = 3x+15
Add 2x to each side
-2x-10+2x= 3x+15+2x
-10 = 5x+15
Subtract 15 from each side
-10-15 = 5x+15
-25 = 5x
Divide by 5
-25/5 = 5x/5
-5 =x
Answer:
Simply take the number of miles each day and multiply it by the number of days. 57.9 miles × 7 days = 405.3 miles
Answer: 405.3 miles