Answer:
The answer to your question is 600 cups
Step-by-step explanation:
Data
Cylinder Cup
diameter = 30 in diameter = 3 in
height = 24 in height = 4 in
Process
1.- Calculate the volume of the cylinder
Volume = πr²h
-Substitution
Volume = (3.14)(30/2)²(24)
-Simplification
Volume = (3.14)(15)²(24)
Volume = (3.14)(225)(24)
-Result
Volume = 16959 in³
2.- Calculate the volume of the cup
Volume = (3.14)(3/2)²(4)
-Simplification
Volume = (3.14)(1.5)²(4)
Volume = (3.14)(2.25)(4)
-Result
Volume = 28.26 in³
3.- Divide the volume of the cylinder by the volume of the cup
Number of full cups = 16959 in³ / 28.26 in³
Number of full cups = 600
Answer:-25
Step-by-step explanation:
simplify
Answer:
w = 98
n = 6
a = 18
Step-by-step explanation:
Question 1)
7 = w/ 14
All you need to do is multiply each side by 14 to find w:
7(14) = W
W = 98
Question 2)
42/n = 7
For this one, first multiply each side by "n":
42 = 7n
and then divide both sides by 7:
N = 6
Question 3)
All you need to do for this question is divide 324 by 18 to find "a":
324/18 = a
a = 18
I hope this helps!
-TheBusinessMan
Answer:
a.) .95
b.) The expected number of baskets is 10.50.
c.) 1.7748
Step-by-step explanation:
a.) This is a binomial distribution as there are two possibilities: makes a free throw or doesn't. This means that you can use the binomial function on a calculator to figure out the answer. Use the binomial CDF function on a calculator and the number of trials=15, probability of success=.7, lower bound=0, upper bound=7. Once you have evaluated the answer, .0500, it will need to be subtracted from1, as you want everything not included in this section. The answer to part a is thus 1-.0500=.95.
b.) The expected value is calculated by taking the total number of shots and multiplying it by the probability of making the shot: 15×.7=10.5 shots.
c.) The standard deviation of a binomial distribution can be calculated by the formula 
. Plugging in the numbers you get 
=1.7748.
Answer:
2 notebooks
Step-by-step explanation:
I understand you already figured out that it was 3 notebooks, but when I calculated it, I believe he could only buy 2...
Personally, I would show my work by first doing the calculation: 2.75[1 notebook price]+ (3[pens/pencils per notebook]*1.10[pen/pencil cost])= $9.075 per notebook and 3 pens
If you then showed that you multiplied 9.075 by 2... you would get $18.15 which is the closest you could get to his limit of $22 without going over
If we applied your answer of 3 notebooks, then the total would be $27.225 which goes over the money limit.
Hope I helped!
