Answer:
Step-by-step explanation:
Given that taxi Fares are normally distributed with a mean fare of $22.27 and a standard deviation of $2.20.
For a random single taxi std deviation is 2.20
But for a sample of size 10, std deviation would be
This would be less than the 2.20
Because std devition is less for sample we get a big z score for the sample than the single.
As positive values of z increase we find that probability would decrease since normal curve is bell shaped.
So single taxi fare would have higher probability than sample.
B) Here >24.
By the same argument we have z value less for single taxi hence the probability for more than that would be less than that of sample size 10
Answer:
36√3 + 144
Step-by-step explanation:
Given that,
base of the pyramid is an equilateral triangle with sides = 12
Formula to calculate total surface area of pyramid
<h3>
[Base Area] + 1/2 × Perimeter × [Slant Length]</h3>
Base Area
1/2 (height) (base)
1/2 (√12²-6²)(12)
6(6√3)
36√3
perimeter of base
sum of all sides = 12 + 12+ 12
= 36
slant height = √10²-6²
= 8
put all these values in the formula above
36√3 + 1/2(36)(8)
36√3 + 144
Total area for the pyramid with the equilateral base =
36√3 + 144
(a-b) (a^2+ab+b^2) is the factor of a^3-b^3
Answer:
probability that Caroline buy both CD and fruit = 0.52
Step-by-step explanation:
We have given that the probability of Caroline buys a fruit P = 0.4
So probability of Caroline does not buy the fruit = 1 - 0.4 = 0.6
Probability Caroline buys a CD P = 0.2
So probability of Caroline does not buy the CD = 1 - 0.2 = 0.8
So probability that Caroline does not buy either buy CD or fruit = 0.8×0.6=0.48
So probability that Caroline buy both CD and fruit =1-0.48 = 0.52
