Answer:
x = $20,000
the manufacturer's list price is $20,000
Step-by-step explanation:
Let x represent the manufacturer's list price.
And c the amount she finally paid
Given that;
She received a discount of 18% off the manufacturer's list price
= x - 18%x
= x - 0.18x
= 0.82x
then had to pay 8% state sales tax.
C = (0.82x) + 8% of (0.82x)
C = 0.82x + 0.08(0.82x)
C = 0.82x + 0.0656x
C = 0.8856x
Since she paid $17,712
C = $17,712
C = $17,712 = 0.8856x
0.8856x = $17,712
x = $17,712/0.8856
x = $20,000
the manufacturer's list price is $20,000
Answer:
The company should use a mean of 12.37 ounces.
Step-by-step explanation:
Normal Probability Distribution
Problems of normal distributions can be solved using the z-score formula.
In a set with mean
and standard deviation
, the z-score 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 p-value, we get the probability that the value of the measure is greater than X.
The distribution for the amount of beer dispensed by the machine follows a normal distribution with a standard deviation of 0.17 ounce.
This means that 
The company can control the mean amount of beer dispensed by the machine. What value of the mean should the company use if it wants to guarantee that 98.5% of the bottles contain at least 12 ounces (the amount on the label)?
This is
, considering that when
, Z has a p-value of
, so when
.
Then





The company should use a mean of 12.37 ounces.
Answer: Slope = -2.667/2.000 = -1.333
x-intercept = 5/4 = 1.25000
y-intercept = 5/3 = 1.66667
Step-by-step explanation: Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 1.667 and for x=2.000, the value of y is -1.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of -1.000 - 1.667 = -2.667 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)
Answer:
855 donuts
Step-by-step explanation:
380/20 = 19 donuts per minute
19 × 45 = 855
Answer:
J(0,2)
Step-by-step explanation:
When you reflect a point across the x-axis, the x-coordinate remains the same, but the y-coordinate is transformed into its opposite (its sign is changed). If you forget the rules for reflections when graphing, simply fold your paper along the x-axis (the line of reflection) to see where the new figure will be located.