If 1/5 are chocolate chip, then 4/5 are not chocolate chip because 1 - 1/5 = 4/5.
Half of 4/5 are peanut butter. Half of 4/5 is 2/5, so 2/5 of the cookies are peanut butter.
Answer:
P(B|A)=0.25 , P(A|B) =0.5
Step-by-step explanation:
The question provides the following data:
P(A)= 0.8
P(B)= 0.4
P(A∩B) = 0.2
Since the question does not mention which of the conditional probabilities need to be found out, I will show the working to calculate both of them.
To calculate the probability that event B will occur given that A has already occurred (P(B|A) is read as the probability of event B given A) can be calculated as:
P(B|A) = P(A∩B)/P(A)
= (0.2) / (0.8)
P(B|A)=0.25
To calculate the probability that event A will occur given that B has already occurred (P(A|B) is read as the probability of event A given B) can be calculated as:
P(A|B) = P(A∩B)/P(B)
= (0.2)/(0.4)
P(A|B) =0.5
Answer:
Amount in 4% account: $550
Step-by-step explanation:
Use simple interest formula
where
I = interest
P = principal
r = rate (as decimal)
t = time.
<u>4% account:</u>

then

<u>5% account:</u>

then

You have earned $69.50 in total, so

Amount in 4% account: $550
Amount in 5% account: $950
Answer:
A = 100 
Step-by-step explanation:
You have to use the area of a trapezoid formula:
A =
(a + b)
Now, substitute the values of the height and the bases:
A =
(10 + 15)
Finally, simplify the equation to solve for the area:
A = 4(25)
A = 100 
Answer: k=1
Step-by-step explanation:
4k-3=-2k+3
take -3 and 3 and add them up on one side and change the sign
4k=-2k+3
+3
4k=-2k+6
take the -2k and change the sign and add to 4k
4k=6
2k
6k=6
now divide both sides with x
6k/6= 6/6
k= 1