Answer:
Step-by-step explanation:
<h3>
Sphere:</h3>
1) a) r = 7 cm



= 4*3.14 * 7 * 7
= 615.44 cm²
b) r= 8.4 cm


Surface area = 4*3.14*8.4*8.4
= 887.04 cm²
<h3>Hemisphere:</h3>
a) r = 6 cm




= 3 * 3.14 * 6 * 6
= 339.12 cm²
B.59
Explanation: the interior angles of a triangle equal 180.
Yes. Parenthesis first, then if any exponents, then multiplication or division, then addition and subtraction. PEMDAS.
Answer:
Time t = 15 years
Step-by-step explanation:
Interest = 892.50
Principal = 1400
Rate = 4.25%
Time = unknown
But
interest I = Principal p * rate r * time t
Time t = interest I/(principal P * rate r)
Time t=( 892.50*100)/(1400*4.25)
Time t=89250/5950
Time t = 15 years
Answer:
Keenan's z-score was of 0.61.
Rachel's z-score was of 0.81.
Step-by-step explanation:
Z-score:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean
and standard deviation
, the z-score 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 p-value, we get the probability that the value of the measure is greater than X.
Keenan scored 80 points on an exam that had a mean score of 77 points and a standard deviation of 4.9 points.
This means that 
So



Keenan's z-score was of 0.61.
Rachel scored 78 points on an exam that had a mean score of 75 points and a standard deviation of 3.7 points.
This means that
. So



Rachel's z-score was of 0.81.