Answer:
3053.5517 cm^3 ; 1/8
Step-by-step explanation:
Given the following :
Volume (V) of sphere = (4/3)πr^3 where r = radius
Diameter of sphere = 18 ; radius(r) = diameter / 2 = 18/2 = 9cm
V = (4/3) × π × 9^3
V = 1.3333 × π × 729
V = 3053.5517 cm^3
When diameter(d) is reduced to half
d = d/2
Volume (V1) of sphere with diameter 'd' =
V1 = (4/3)π(d/2)^3
Volume (V2) of sphere with diameter 'd' reduced to half, d = d/2, d/2 * 1/2 = d/4
V2 = (4/3)π(d/4)^3
V1 / V2 = [(4/3)π(d/2)^3] / [(4/3)π(d/4)^3]
V1 / V2 = (d/2)^3 / (d/4)^3
V1 / V2 = [d^3 / 2^3] / [d^3 / 4^3]
V1 / V2 = 8 / 64
V1 / V2 = 1 / 8
Normally you would expect the answer to be 10 as 2$ less then 12$ = 10$ I somehow got it false, Try using 7.
Answer:
The null hypothesis is 
Step-by-step explanation:
According to the Centers for Disease Control and Prevention, the proportion of U.S. adults age 25 or older who smoke is .22
This means that at the null hypothesis, it is tested if the proportion is in fact 0.22, that is:
A researcher suspects that the rate is lower among U.S. adults 25 or older who have a bachelor's degree or higher education level.
At the alternative hypothesis, it is tested if the proportion is lower than 0.22, that is:
Answer:
A Prime
Step-by-step explanation:
The prime numbers between 2 and 100 are 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89 and 97.
Hey there :)
f (x) = 5x² - 2x
g (x) = 3x² + x - 4
( f + g )( x ) is f ( x ) + g ( x )
5x² - 2x + 3x² + x - 4
Combine like-terms
5x² + 3x² - 2x + x - 4
8x² - x - 4
Your option will be the third option
