Answer: c) 0.75
Step-by-step explanation:
Given : The probability of choosing a black marble is P(Black)= 0.36.
The probability of choosing a black and then a white marble is P( Black and white) = 0.27.
Then by conditional probability ,
The probability of the second marble being white if the first marble chosen is black = 
Therefore , the probability of the second marble being white if the first marble chosen is black = 0.75
sorry i had the wrong answer...
Answer:
28
Step-by-step explanation:
20,24,n,32
We add 4 to get from 20 to 24
Add 4 to get from 24 to n
24+4 = 28
Add 4 to get from 28 to 32
This is correct so n = 28
Answer:
There are 5 apples in the best bundle Charlie can afford
Step-by-step explanation:
If the utility function is u(xa, xb) , where xa represent the quantity of apples and xb is the quantity of bananas then we want to choose the quantity of bananas and apples that maximises the utility of Charlie for the same budget restriction ( get the most benefit for the same money).
The budget restriction is
$4* xa + $2* xb = $40
then
u(xa, xb) =xa*xb
4*xa + 2*xb = 40 → xb = (40 - 4*xa)/2 = 20 - 2*xa
replacing in the utility function
u(xa, xb) =xa* (20 - 2*xa) = 20*xa - 2*xa²
the maximum of this function is obtained when the derivative of the utility function with respect to xa is 0 . Thus
du/dxa = 20 - 4*xa = 0 → xa = 20/4 = 5
then for
xa=5 apples
xb=20 - 2*xa = 20 - 2*5 = 10 bananas
Charlie maximises his utility . Therefore there are 5 apples in the best bundle Charlie can afford
Solution.
minus 7b on both sides
divide -3b on each side
substituting to find angle EBF using the value of b
= 
Note: I PUT 2b on EBF because it had a congruence circle on the angle similar to ABE so they will have 2b both them
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