Answer:
a) C(x) = 4x + 350
b) 13x; $13
c) 39
Step-by-step explanation:
a) Initial cost of lawnmower = $350
Maintenance cost for 1 lawn = $4
Maintenance cost for x lawns = 4x
Total cost function, C(x) = 4x + 350
b) Revenue = Cost + Profit
= C(x) + P(x)
= 4x + 350 + 9x - 350
= 13x
Charge per lawn =
=
c) For Jimmy to make a profit, P(x) must be greater than zero i.e.
The smallest integer value of x that satisfies this inequality is 39. Therefore, Jimmy needs to mow 39 lawns in order to start making profit.
Answer: Horizontal asymptote of c(x) is 450.
Step-by-step explanation:
Since we have given that
Cost to produce one refrigerator = $450
Fixed monthly cost = $200,000
So, Average cost function to produce x refrigerators is given by
Horizontal asymptote of c(x) would be
Hence, Horizontal asymptote of c(x) is 450.
Answer:
Carl's ACT grade had a higher z-score, which means that he earned a better score with respect to his peers on the ACT test.
Step-by-step explanation:
Z-score
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.
On which exam did Carl earn a better score with respect to his peers?
On whichever exam he had the higher z-score.
SAT
Scored 730, mean 516, standard deviation 116. So
ACT
Scored 32, mean 21, standard deviation 5.3. So
Carl's ACT grade had a higher z-score, which means that he earned a better score with respect to his peers on the ACT test.
Given:
The point is T(-3,7).
To find:
The image T' after .
Solution:
, it means reflection across x-axis is followed by reflection across y-axis.
If a point is reflected across the x-axis, then
Then point is reflected across the y-axis. So,
Therefore, the coordinates of point T' are (3,-7).