Answer:
0.0274
Step-by-step explanation:
The mean is 
and the standard deviation is 
Calculate
for 
If 
then 
and
Use table for normal distribution probabilities to get that
I think you want the least common multipule (exg LCM of 2,3,4 is 12)
so we find the factors and include all of them so like this
15=3 times 5
12=2 times 2 times 3
8=2 times 2 times 2
so to include all of them we include 3 2's, 1 3 and 1 5 or 2 times 2 times 2 times 3 times 5 or 8 times 15 or 4 times 30 or 120
the LCM is 120
so 4/15=32/120
1/12=10/120
3/8=45/120
add 32/120+10/120+45/120=(32+10+45)/120=87/120
Answer:
13 Raffle tickets
Step-by-step explanation:
Cost for one riffle ticket = 2.50
Total money of Vanessa budgeted for riffle ticket : 34.75
Greatest number of riffle ticket, venessa can with with 34.75
I'll like us to divide 34.75 by 2.5 to get the exact value.
Therefore,
34.75 / 2.5
= 13.9
It therefore implies that, Vanessa will buy a maximum of 13 riffle tickets and still have a change of 2.25
Answer:Since the volume of a cylinder formula involves the radius, you can solve for the radius and double it to find the diameter.
Write the formula. Volume=π⋅radius2⋅height.
Substitute the dimensions of the shape into the formula. Use 3.14 as the value for π. 791.28=3.14⋅r2⋅28.
Solve the equation for the variable.
Step-by-step explanation:
Answer:
1414 kL
Step-by-step explanation:
The volume of the donut-shaped moat is the product of its surface area and depth. The area is the product of its centerline length and its width.
<h3>Moat area</h3>
The diameter of the centerline of the moat is (50 m -5 m) = 45 m. The length of that centerline is ...
C = πd = π(45 m) = 45π m
The area is this length times the width of the moat:
moat area = (45π m)(5 m) = 225π m²
<h3>Moat volume</h3>
The volume is the product of the area and the depth of the moat:
V = Ah = (225π m²)(2 m) = 450π m³ ≈ 1413.72 m³
1 cubic meter is 1000 liters, 1 kiloliter.
The volume of the moat is about 1414 kL.
