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nikitadnepr [17]
2 years ago
14

NEED HELP PLEASE WHAT IS THE NUMBER IN THE QUESTION MARK

Mathematics
1 answer:
bekas [8.4K]2 years ago
6 0

Answer:

i thing it is 2,if i wrong so sorry

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N is the sum of three consecutive primes and is also the product of two 2-digit primes, what is the least possible value of N
Nookie1986 [14]

Hello from MrBillDoesMath!

Answer:   N = 143

Discussion:

This one took some trial and error! At first I listed all 2 digit primes, looked at the list, but didn't know how to proceed. So, I took the smallest 2 digit primes numbers:  11 and 13 and wondered if their product, 13*11 = 143, could be represented as the sum of  3 consecutive primes.   I went back to my list of primes,  added groups of three consecutive numbers that seemed to be in the right range to give the desired sum, and stumbled on  43, 47, and 53!

43 + 47 + 53 =  143 !


Therefore N = 143. It's the sum of 43, 47, and 53 as well as the product of 11 and 13.


Thank you,

MrB


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2 years ago
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Is a polynomial

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Meneca bought a package of 435 party favors to give to the guests at her birthday party. She calculated that she could give 9 pa
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Simplify.055-(0.9-0.8).4
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uppose that​ Mary's utility function is​ U(W) = W0.5​, where W is wealth. She has an initial wealth of​ $100. How much of a risk
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Note that U(W) = W^{0.5}

Answer:

Mary's risk premium is $0.9375

Step-by-step explanation:

Mary's utility function,  U(W) = W^{0.5}

Mary's initial wealth = $100

The gamble has a 50% probability of  raising her wealth to $115 and a 50% probability of lowering it to $77

Expected wealth of Mary, E_w

E_{w} = (0.5 * $115) + (0.5 * $77)

E_{w} = 57.5 + 38.5

E_{w} = $96

The expected value of Mary's wealth is $96

Calculate the expected utility (EU) of Mary:-

E_u = [0.5 * U(115)] + [0.5 * U(77)]\\E_u = [0.5 * 115^{0.5}] + [0.5 * 77^{0.5}]\\E_u = 5.36 + 4.39\\E_u = \$ 9.75

The expected utility of Mary is $9.75

Mary will be willing to pay an amount P as risk premium to avoid taking the risk, where

U(EW - P) is equal to Mary's expected utility from the risky gamble.

U(EW - P) = EU

U(94 - P) = 9.63

Square root (94 - P) = 9.63

If Mary's risk premium is P, the expected utility will be given by the formula:

E_{u} = U(E_{w} - P)\\E_{u} = U(96 - P)\\E_u = (96 - P)^{0.5}\\(E_u)^2 = 96 - P\\ 9.75^2 = 96 - P\\95.0625 = 96 - P\\P = 96 - 95.0625\\P = 0.9375

Mary's risk premium is $0.9375

7 0
3 years ago
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