-5 to the 4th power in expanded form would be -5 x -5 x -5 x -5. This is equal to positive 625.
Isn’t this just 20m? Or is it a trick question and I’m just not getting it?
Arman (10m) Babken (10m) Cecilia
Answer:
5% but not sure
Step-by-step explanation:
80+5+10
<h3>
Answer: 16/33</h3>
It's in p/q form where p = 16 and q = 33.
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Work Shown:
x = 0.484848.....
100x = 48.4848.....
I multiplied both sides by 100 to move the decimal over 2 spots. Both decimal values for x and 100x have an infinite string of "48"s repeated after the decimal point. When we subtract, those infinite strings will cancel out
100x - x = 99x
48.4848..... - 0.484848..... = 48
So after subtracting straight down, we have the new equation 99x = 48 which solves to x = 48/99
Divide both parts by the GCF 3 to fully reduce
48/3 = 16
99/3 = 33
Therefore, x = 48/99 = 16/33 = 0.484848...
I recommend using a calculator to confirm that 16/33 = 0.484848...
Side note: your calculator may round the last digit, but this is of course rounding error
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.