9514 1404 393
Answer:
g(x) = (5x +26)/(x+5)
Step-by-step explanation:
To translate the function right h units and up k units, the transformation is ...
f(x -h) +k
You want h=-4 (4 units left) and k=-1 (1 unit down). So, the translated function is ...

The translated function is ...
g(x) = (5x +26)/(x+5)
__
The original function is in red with asymptotes shown in orange. The translated function is in purple with the asymptotes shown in blue. You can see that the function has been moved 4 left and 1 down.
Answer: -0.106
Step-by-step explanation:
You can infer from this problem that for every 100 m that
John was able to run, it takes him 9.93 seconds. To get how much time is needed
for 26 – mile marathon, you need to divide 26 miles by 100 meters. But first,
you need to convert 26 miles to meters first.
1 mile = 1,609.34 meters
26 miles = 41,842.84 meters
41,824.84 meters / 100 meters = 418.43 x 9.93 seconds =
4,155 seconds or 69.25 minutes
The GCF for the first one is 4
The GCF for the second one is 4
The GCF for the third one is 2
The GCF for the fourth one is 4
The GCF for the fifth one is 2
The GCF for the six one is 2
Answer:
a) The percentage of athletes whose GPA more than 1.665 is 87.49%.
b) John's GPA is 3.645.
Step-by-step explanation:
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:

a)Find the percentage of athletes whose GPA more than 1.665.
This is 1 subtracted by the pvalue of Z when X = 1.665. So



has a pvalue of 0.1251
1 - 0.1251 = 0.8749
The percentage of athletes whose GPA more than 1.665 is 87.49%.
b) John's GPA is more than 85.31 percent of the athletes in the study. Compute his GPA.
His GPA is X when Z has a pvalue of 0.8531. So it is X when Z = 1.05.




John's GPA is 3.645.