Answer:
107.2 seconds
Step-by-step explanation:
Step one:
given
the diameter of ball 8 inches
radius= 8/2 = 4 in
The volume of the ball


Step two:
we know that
rate= quantity/time
rate= 2.4 in per second
quantity= 268.12
time=?
time= quantity/rate
time= 268.12/2.5
time= 107.2 seconds
Answer:
x = 17, MN = 11
Step-by-step explanation:
Given 2 secants from an external point to a circle, then
The product of the external part and the whole of one secant is equal to the product of the external part and the whole of the other secant.
(5)
7(7 + x) = 8(8 + 13) = 8 × 21 = 168 ( divide both sides by 7 )
7 + x = 24 ( subtract 7 from both sides )
x = 17
(6)
9(9 + 2x - 7) = 10(10 + 8)
9(2x + 2) = 10 × 18 = 180 ( divide both sides by 9 )
2x + 2 = 20 ( subtract 2 from both sides )
2x = 18 ( divide both sides by 2 )
x = 9
Then
MN = 2x - 7 = 2(9) - 7 = 18 - 7 = 11
3/4 * 3/4
Three quarter meaning 3/4
Of represents *
So the answers is (3*3)/(4*4)=9/16 or 0.5625
Answer:
0.0274
Step-by-step explanation:
The mean is
and the standard deviation is 
Calculate
for 
If
then 
and

Use table for normal distribution probabilities to get that

To get the probability that at least 8 of the words on the test are words that students know we need to do the following calculations.
<span>=[C(16,8)*C(10,2) + C(16,9)*C(10,1) + C(16,10)*C(10,0)] / C(26,10)
</span>
=0.132