Answer:
the probability is 0.28
Step-by-step explanation:
using Bayes's theorem
P(A|B)=P(A∩B)/P(B)
where
P(A∩B) = probability that events A and B happen
P(A|B) = probability that event A happen if B already happened
P(B)= probability of event B
therefore
P(A∩B)=P(A|B)*P(B)
if event A= selection of a student that lives in a dormitory and event B = selection of a freshmen student
P(A|B) = 0.8 (live in a dormitory knowing that is a freshmen student )
P(B) = 0.35 (freshmen student)
P(A∩B)=P(A|B)*P(B) = 0.8* 0.35 =0.28
Answer:
12 and a half
Step-by-step explanation:
1 gallon is 8 pints. so all you do is divide 100 by 8.
Hope this was helpful:)))
Because 6/8 means, dividing 6 by 8. If you divide 7 by 8 eight you will get a greater number then 6/8 because 7 is greater than 6. And if you divide 5 by 8 you will get a smaller number than 6/8 because 5 is less than 6. I hope its not confusing.
Answer: Dimes= 20, Nickels= 15
Step-by-step explanation:
Since we are looking for the amount of coins, we can use system of equations to solve for the amount of coins.
Equation 1:
0.1x+0.05y=2.75
This equation comes from the total cost. x stands for dimes and y stands for nickels. 0.1 is the worth of a dime and 0.05 is the worth of a nickel.
Equation 2:
x=2y-10
This equation comes from 10 less than twice the number of nickels.
We can use substitution to find x and y.
0.1(2y-10)+0.05y=2.75
0.2y-1+0.05y=2.75
0.25y-1=2.75
0.25y=3.75
y=15
There are 15 nickels.
Now that we have y, we can plug it back into the equation to find x.
x=2(15)-10
x=30-10
x=20
There are 20 dimes.
Answer:
Step-by-step explanation:
-1/2 (7z + 4) + 1/5 (5z - 16)
-1/10 × (5(7z + 4) - 2 (5z - 16))
-1/10 × (35z + 20 - 10z + 32)
= -1/10 × (25z + 52)