1. cylinder to cone:
(πr^2h)/((1/3)πr^2h) = 3:1
2. sphere to cylinder:
((4/3)πr^3)/(πr^2h) = 4r:3h
3. cone to sphere:
((1/3)πr^2h)/((4/3)πr^3) = h:4r
4. hemisphere to cylinder:
half the ratio of sphere to cylinder = 2r:3h
Answer:
d. An additional month of buying and selling is associated with an additional $417 in profits.
Step-by-step explanation:
We have general form of intercept form of equation:
y = m*x + c ----- (A)
Given equation is : y = 2502 + 417*x
Rewrite equation: y = 417*x + 2502 ------(B)
comparing equation (B) with equation (A), we get
m = 417 (additional benefits per month) because multiplied factor x is the month.
Using the binomial distribution, the probabilities are given as follows:
a) 0.4159 = 41.59%.
b) 0.5610 = 56.10%.
c) 0.8549 = 85.49%.
<h3>What is the binomial distribution formula?</h3>
The formula is:


The parameters are:
- x is the number of successes.
- n is the number of trials.
- p is the probability of a success on a single trial.
For this problem, the values of the parameters are:
n = 3, p = 0.76.
Item a:
The probability is P(X = 2), hence:


Item b:
The probability is P(X < 3), hence:
P(X < 3) = 1 - P(X = 3)
In which:


Then:
P(X < 3) = 1 - P(X = 3) = 1 - 0.4390 = 0.5610 = 56.10%.
Item c:
The probability is:

More can be learned about the binomial distribution at brainly.com/question/24863377
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Answer:
False -Demartra
Step-by-step explanation:
Answer:
c. (x^2+1)(x^2+a)-a = x^2(x^2+a+1)
Step-by-step explanation:
You can use FOIL or the distributive property to expand the product of binomials, Then collect terms and factor out the common factor.
(x^2+1)(x^2+a)-a
= x^2(x^2 +a) +1(x^2 +a) -a
= x^4 +ax^2 +x^2 +a -a
= x^4 +ax^2 +x^2
= x^2(x^2 +a +1) . . . . . matches choice C