Step-by-step explanation:
the volume of a cylinder is
base area × height.
and the base is a circle, and the area of a circle is
pi×r²
remember, the radius is half the diameter.
so, in our case, the volume is
pi×(18/2)²×20 = pi×9²×20 = pi×81×20 = pi×1620 =
= 5,089.380099... in³ ≈ 5,089 in³
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
a=t2−ba=t2-b
Answer:
Step-by-step explanation:
Since the length of time taken on the SAT for a group of students is normally distributed, we would apply the formula for normal distribution which is expressed as
z = (x - u)/s
Where
x = length of time
u = mean time
s = standard deviation
From the information given,
u = 2.5 hours
s = 0.25 hours
We want to find the probability that the sample mean is between two hours and three hours.. It is expressed as
P(2 lesser than or equal to x lesser than or equal to 3)
For x = 2,
z = (2 - 2.5)/0.25 = - 2
Looking at the normal distribution table, the probability corresponding to the z score is 0.02275
For x = 3,
z = (3 - 2.5)/0.25 = 2
Looking at the normal distribution table, the probability corresponding to the z score is 0.97725
P(2 lesser than or equal to x lesser than or equal to 3)
= 0.97725 - 0.02275 = 0.9545
Hey! :)
So when we write something in slope intercept form, all we're doing is solving for y. So let's do that with this equation!
-2x + y = 9
add 2x to both sides
y = 2x + 9
So C is your answer.
Please let me know if you need anything further explained!
Answer:
90
Step-by-step explanation:
Change 5 hours to minutes. (5x60, and 300 minutes)
Divide 300 by 40. (7.5)
Then, multiply 7.5 by 12 (90)
