Answer:
a) 0.0025
b) 0.9975
c) 23.03 minutes
d) 23.03 minutes
Step-by-step explanation:
Let X be the random variable that measures the time waited for a taxi.
If X is exponentially distributed with a mean of 10 minutes,then the probability that you have to wait more than t minutes is
a)
1 hour = 60 minutes, so the probability that you wait longer than one hour is
b)
Due to the “memorylessness” of the exponential distribution, the probability that you have to wait 10 or less minutes after you have already waited for one hour, is the same as the probability that you have to wait 10 or less minutes
c)
We want x so that
P(X>x)=0.1
d)
We want P(X<x)=0.9
Answer:
<h2>
<u>GIVEN</u><u> </u>- </h2>
- Water tank which is in a shape of right rectangular prism
Dimensions = 6 feet × 4 feet × 7 feet
<h3><u>TO</u><u> </u><u>FIND</u><u> </u><u>-</u><u> </u>
</h3>
<h2><u>SOLUTION</u>
- </h2>
<em><u>Using</u></em><em><u> </u></em><em><u>formula</u></em><em><u> </u></em><em><u>of</u></em><em><u> </u></em><em><u>surface</u></em><em><u> </u></em><em><u>area</u></em><em><u> </u></em><em><u>of</u></em><em><u> </u></em><em><u>right</u></em><em><u> </u></em><em><u>rectangular</u></em><em><u> </u></em><em><u>prism</u></em><em><u> </u></em><em><u>-</u></em><em><u> </u></em>
Surface area =

L = length
w = width
h = height
( assumimg 6 feet = L , 4 feet = W , 7 feet = h)
Putting value of L, W and H in the equation. we get,
=2(4 × 6 + 7 × 6 + 7× 4)
= 2(24 + 42 + 28)
= 2( 94)
= 2 × 94
= 188
Yes. Since 12 3/4 cups can be rounded up to 13 and 6 5/6 can be rounded up to seven, and 13+7 equals 20, so you would be able to put the additional amount if cups into the cooler.
Answer:
Step-by-step explanation:
-1, 3