Answer:
1130.97336 units^3
Step-by-step explanation:
The volume of a cylinder can be found using:

We have the area of the base, but not the radius

We know the area is
, so we can substitute that in for a

We want to find r, so we need to isolate it
Divide both sides by pi
36=r^2
Take the square root of both sides
6=r
Now we know the radius, and can substitute it into the volume formula, and we can substitute the height (10) in


Solve the exponent


v=1130.97336
The volume is 1130.97336 units^3
Answer:
the probability that five randomly selected students will have a mean score that is greater than the mean achieved by the students = 0.0096
Step-by-step explanation:
From the five randomly selected students ; 160, 175, 163, 149, 153
mean average of the students = 160+175+163+149+153/5
= mean = x-bar = 800/5
mean x-bar = 160
from probability distribution, P(x-bar > 160) = P[ x-bar - miu / SD > 160 -150.8 /3.94]
P( Z>2.34) = from normal Z-distribution table
= 0.0096419
= 0.0096
hence the probability that five randomly selected students will have a mean score that is greater than the mean achieved by the students = 0.0096
where SD = standard deviation = 3.94 and Miu = 150.8
Answer:
The correct corresponding part is;
≅ 
Step-by-step explanation:
The information given symbolically in the diagram are;
ΔCAB is congruent to ΔCED (ΔCAB ≅ ΔCED)
Segment
is congruent to
(
≅
)
Segment
is congruent to
(
≅
)
From which, we have;
∠A ≅ ∠E by Congruent Parts of Congruent Triangles are Congruent (CPCTC)
∠B ≅ ∠D by CPCTC
Segment
is congruent to
(
≅
) by CPCTC
Segment
bisects
Segment
bisects 
Therefore, the correct option is
≅ 
Answer:
Option B is true
Step-by-step explanation:
The formula for Cos is Adjacent/hypotenuse. 12 is Adjacent to angle e, and 17 is the hypotenuse.
Answer:
, x ≠ -1/4
Explanation:We are given that:
f (x) = 4x + 1
g(x) = x² - 5
We want to find the value of (g/f)(x). This means that we will simply divide g(x) by f(x) as follows:

Now, we should note that any function is undefined if its denominator is equal to zero.
This means that for our current function:
4x + 1 cannot be equal to zero
4x + 1 = 0
4x = -1
x = -1/4
This means that the value of x cannot be -1/4, otherwise, our function would be undefined.
Based on the above, the last option is the correct one.
Hope this helps :)