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NemiM [27]
3 years ago
14

The function describes the volume of a right circular cylinder of height 3 ft and radius r feet. find the instantaneous rate of

change of the voume with respect to the radius when r = 5
Mathematics
1 answer:
xxMikexx [17]3 years ago
8 0
The volume of a right circular cone is calculated through the equation,

                  V = πr²h

where V is volume, r is radius of the base, and h is height. Given that height is 3 ft, this can be simplied into,
 
                V = 3πr²

The rate of change with respect to r is,
                dV/dr = 6πr

Substituting the DALE,

                dV/dr = (6)π(2 m)² = 24π

Answer: 24π. 
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Find the sum of the first 15 terms of the arithmetic of the sequence where the 1st term is 3200 and the common difference is 150
Elis [28]

Answer:

just to 3200-15 repeatedly

4 0
3 years ago
Based on a​ poll, 40​% of adults believe in reincarnation. Assume that 77 adults are randomly​ selected, and find the indicated
damaskus [11]

To solve this problem, we make use of the binomial probability equation:

P = [n! / (n – r)! r!] p^r * q^(n – r)

where,

n is the total number of adult samples = 77

r is the selected number of adults who believe in reincarnation

p is the of believing in reincarnation = 40% = 0.40

q is 1 – p = 0.60

 

a. What is the probability that exactly 66 of the selected adults believe in​ reincarnation?

So we use r = 66

 

P = [77! / (77 – 66)! 66!] 0.40^66 * 0.60^(77 – 66)

P = 1.32 x 10^-16

 

b. What is the probability that all of the selected adults believe in​ reincarnation?

So we use r = 77

 

P = [77! / (77 – 77)! 77!] 0.40^77 * 0.60^(77 – 77)

P =2.28 x 10^-31

 

c.  What is the probability that at least 66 of the selected adults believe in​ reincarnation?

So we use r = 66 to 77

 

P (r=66) = 1.32 x 10^-16

P (r=67) = [77! / (77 – 67)! 67!] 0.40^67 * 0.60^(77 – 67) = 1.44 x 10^-17

P (r=68) = [77! / (77 – 68)! 68!] 0.40^68 * 0.60^(77 – 68) = 1.42 x 10^-18

P (r=69) = [77! / (77 – 69)! 69!] 0.40^69 * 0.60^(77 – 69) = 1.23 x 10^-19

P (r=70) = [77! / (77 – 70)! 70!] 0.40^70 * 0.60^(77 – 70) = 9.38 x 10^-21

P (r=71) = [77! / (77 – 71)! 71!] 0.40^71 * 0.60^(77 – 71) = 6.17 x 10^-22

P (r=72) = [77! / (77 – 72)! 72!] 0.40^72 * 0.60^(77 – 72) = 3.43 x 10^-23

P (r=73) = [77! / (77 – 73)! 73!] 0.40^73 * 0.60^(77 – 73) = 1.56 x 10^-24

P (r=74) = [77! / (77 – 74)! 74!] 0.40^74 * 0.60^(77 – 74) = 5.64 x 10^-26

P (r=75) = [77! / (77 – 75)! 75!] 0.40^75 * 0.60^(77 – 75) = 1.50 x 10^-27

P (r=76) = [77! / (77 – 76)! 76!] 0.40^76 * 0.60^(77 – 76) = 2.64 x 10^-29

P (r=77) = 2.28 x 10^-31

 

The total is the sum of all:

P(total) = 1.48 x 10^-16

 

d. If 77 adults are randomly​ selected, is 66 a significantly high number who believe in​ reincarnation?

          C.Yes​, because the probability that 66 or more of the selected adults believe in reincarnation is less than 0.05

6 0
3 years ago
1131 divided by 29 \
Goshia [24]
Answer:39

Hope it helps :)
8 0
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What is 100,000 written as a power with a base of 10? ANSWER QUICK
DochEvi [55]

Answer:

Its either 10 to the power of 6 or ten to the power of 5

Step-by-step explanation:

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4 0
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Step-by-step explanation:

<u>Step 1:  Answer the question</u>

They are independent because the cards are always going to stay the same.  If each card that was picked and discarded, that would alter the future which would make it dependent.  But... since it doesn't change the cards, it is independent.

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