Answer:
9 Quarters
8 Dimes
3 Nickels
Step-by-step explanation:
We let the number of quarters be q
number of dimes be d
and
number of nickels be n
Since quarters are worth 0.25, dimes are worth 0.10 and nickels are worth 0.05 and total worth is 3.20, we can write an equation as:
0.25q + 0.10d + 0.05n = 3.20
Next,
3 times as many quarters as Nickels, we can write:
q = 3n
and
5 more dimes than nickel, we can write:
d = n + 5
Substituting these last 2 equations in the first and solving for n gives us:
0.25q + 0.10d + 0.05n = 3.20
0.25(3n) + 0.10(n+5) + 0.05n = 3.20
0.75n + 0.10n +0.5 + 0.05n = 3.20
0.9n = 2.70
n = 2.70/0.9 = 3
n = 3
We know q = 3n, so
q = 3(3) = 9
Also, we know d = n + 5, which means:
d = 3 + 5 = 8
Thus,
There are:
9 Quarters
8 Dimes
3 Nickels
Answer:
312
Step-by-step explanation:
Volume of the parallalelepiped:
base x width x height
V = 5 x 4 x 12 = 240
for triangular prism:
base = 8-5 = 3
base area = (base x height)/2 = (3x4)/2 = 6
V = base area x 12
V = 6 x 12 = 72
Total volume = 240 + 72 = 312
Answer:
(a)
c=1/2
cdf is 
Step-by-step explanation:
Remember that if 
is the pdf of a random variable X .
Then,
(a)
Therefore
c=1/2
and
then to compute the cdf, we have
Answer:
what circle?
Step-by-step explanation:
lol
