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.
Answer:
Subtract from the dividend an easy multiple of the divisor
Record the partial quotient in a column to the right of the problem.
Repeat until the dividend has been reduced to zero or the remainder is less than the divisor.
Add the partial quotients to find the quotient.
Step-by-step explanation:
Hope this helps :)
Answer:
She could divide 9.42 by Pi to find the radius, then multiply 9.42 by the radius.
(Last option)
Step-by-step explanation:
We need the formula for the area of a circle:
A = πr²
Remember r² = r × r
So you could rewrite the formula like this:
A = π × r × r
If π × r = 9.42, then the area becomes:
A = 9.42 × r
"<em>Then multiply 9.42 by the radius</em>".
To find "r", divide 9.42 by π.
π × r = 9.42
r = 9.42/π
"<em>Divide 9.42 by Pi to find the radius</em>".
Answer:
461.875 cubic cm
Step-by-step explanation:
Volume of wood in the block
= volume of cuboid - 3 times the volume of one hemisphere
Answer:
A (i) impossible, because the card D doesn't exist.
(ii) evens, because the number of vowel cards and consonant cards is equal
B (i) 62 - 24 - 13 - 16 = 9
(ii) 24/62*100% = 38.7%
(iii) (13+16) / 62 * 100% = 46.77%
