Okay, Do you know how to find the surface area?
Answer:
The percentage of people that scored less than Calvin is 38.21 %
Step-by-step explanation:
In this question, we are concerned with calculating the percentage of exam scores lesser than what Calvin scores.
To calculate this, we first need to calculate the standard score or the z-score of Calvin result.
Mathematically;
z = (x - mean)/SD
from the question, x = 78, mean = 81 and SD = 10
Substituting this, we have
z = (78 -81)/10 = -3/10 = -0.3
So we proceed to calculate the probability.
P(x < 78) or P(z < -0.3)
We make use of the standard table to get this probability
P(z< - 0.3) = 0.38209
In percentage, this is same as 38.209% or more simply 38.21%
Answer:
10.99 in^3
Step-by-step explanation:
Steps to determining the answer
- determine the volume of the cylinder
- determine the volume of the cone
- find the difference in volumes
volume of a cylinder = nr^2h
n = 3.14
r = radius
3.14 x 4 x 2² = 50.24 in³
Volume of a cone 1/3(nr^2h)
n = 22/7
r = radius
A radius is half of the diameter = 5/2 = 2.5 in
h = height
(1/3) x 3.14 x 2.5² x 6 = 39.25 in³
difference = 50.24 - 39.25 = 10.99 in³
Volume of a cone: (1/3)πr²h
Data:
V=31.5 in³,
r=3 in
Then:
V=(1/3)πr²h
31.5 in³=(1/3)π(3 in)²h
<span>(1/3)π(3 in)²h=31.5 in</span>³
(1/3)π(9 in²)h=31.5 in³
3πin² h=31.5 in³
h=(31.5 in³) / (3π in²)
h≈3.34 in
answer: the height of the cone is 3.34 in.
