Answer:
<em>In the next year, Anthony worked 2,084 hours</em>
Step-by-step explanation:
Anthony worked 1,697 hours in 2010.
We also know Anthony worked 22.8% more hours than in 2010.
The problem requires to calculate how much did Anthony work in the next year.
It can be calculated as follows:
Take 22.8% of 1,697:

Now calculate by adding it to the original number of hours:
1,697 + 387 = 2,084 hours
In the next year, Anthony worked 2,084 hours
Answer: She will pay $52.68, including taxes
Step-by-step explanation: One can of tennis ball is $4 and there are no discount on it. Elena bought 3 cans, so:
can = 3 x 4 = 12
One tennis racket is $43 but it has a discount of 15%:
discount = 0.15 x 43 = 6.45
total racket = 43 - 6.45 = 36.55
Elena will have to pay:
pay = 12 + 36.55 = 48.55
She will also have to pay taxes, which are 8.5% over the price she paid:
pay + tax = 48.55 x 0.085 = 4.13
total to pay = 48.55 + 4.13 = 52.68
Buying 3 can of tennins ball and one racket, Elena paid $52.68, including taxes.
Answer:
Please find attached the graph of the following function;

Step-by-step explanation:
We note that the function is linear from x = 2 to just before x = 0
The linear relationship of the function f(x) with x changes just before x = 0
At x = 0, the value of f(x) is indicated as 1
From just after x = 0, the function is a straight horizontal line y = 3
The function also changes value immediately after x = 0 to the line y = 3
The areas where the function is defined are shown in continuous lines
Answer:
The z-score when x=187 is 2.41. The mean is 187. This z-score tells you that x = 187 is 2.41 standard deviations above the mean.
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 question:

The z-score when x=187 is ...

The z-score when x=187 is 2.41. The mean is 187. This z-score tells you that x = 187 is 2.41 standard deviations above the mean.