Given:
4/5 of a pie left after their family picnic.
Each slice of pie was 1/15 of the total pie.
To find:
The number of remaining slices of pie.
Solution:
Let x be the number of remaining slices of pie.
Part of total pie in one slice = 
Remaining part of total pie in x slices = 
According to the question, 4/5 of a pie left after their family picnic.

Using cross multiplication, we get


Divide both sides by 5.

Therefore, the remaining number of slices of pie is 12.
Answer:
45
Step-by-step explanation:
Given that :
Voucher awarded (x) :
Repair = $50
Lose or destroy = $200
P(x):
Replacement voucher = 5%
Repair voucher = 10%
X ______ 50 ______ 200
P(x) ____ 0.1 _______ 0.05
Expected variance Var(X) :
ΣX²p(x) - E(x) ;
E(x) = Σx*p(x) = (50*0.1) + (200*0.05) = 15
ΣX²p(x) = Σ[(50^2 * 0. 1) + (200^2 * 0.05)] = 250 + 2000 = 2250
Var(X) = 2250 - 15^2 = 2025
Standard deviation = √Var(x)
Standard deviation = √2025
Standard deviation = $45
Answer:
B
Step-by-step explanation:
-1+(-6)
Answer:
yes
Step-by-step explanation:
since ΔCDW similar to ΔUVW, then
UW/CW = UV/CD
UW = CW•UV/CD
CU+CW = CW•UV/CD
CU = CW•UV/CD - CW
= 26•132/24 - 26
= 143 - 26
= 117