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Vanyuwa [196]
3 years ago
13

Consider the probability that no fewer than 74 out of 112 houses will lose power once a year. Assume the probability that a give

n house will lose power once a year is 97%. Specify whether the normal curve can be used as an approximation to the binomial probability by verifying the necessary conditions.
Mathematics
1 answer:
Natasha_Volkova [10]3 years ago
5 0

Answer: the normal curve can be used as an  approximation to the binomial probability considering the following condition: when the sample is large, in this case n=112

Step-by-step explanation:

for a binomial experiment to be approximated to normal distribution, the following conditions must be present:

i.  sample size must be large, in this case sample size is 112

ii.  the mean must be equal to np,where n is sample size and p is probability  of success

iii.  the standard deviation must be equal to npq,where q is the probability of failure

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dexar [7]

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Write 5.5% as a fraction in simplest form
worty [1.4K]

Answer:

11/200

Step-by-step explanation:

5.5% = 5.5/100 = 0.055

0.055 1000

———- X ———

1 1000

=55/1000

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4 0
3 years ago
Write an expression for this one <br> the sum of an odd integer and the next odd integer.
Sidana [21]
Let x is the odd integer
x +2 is the next odd integer
so sum of an odd integer and the next odd integer:
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8 0
2 years ago
PLEASE HELP 25 POINTS!!
eduard

Answer:

(27 y^(-8))/(4 x^6)

Step-by-step explanation:

Simplify the following:

(4 (3 x^2 y^4)^3)/(2 x^3 y^5)^4

Multiply each exponent in 2 x^3 y^5 by 4:

(4 (3 x^2 y^4)^3)/(2^4 x^(4×3) y^(4×5))

4×5 = 20:

(4 (3 x^2 y^4)^3)/(2^4 x^(4×3) y^20)

4×3 = 12:

(4 (3 x^2 y^4)^3)/(2^4 x^12 y^20)

2^4 = (2^2)^2:

(4 (3 x^2 y^4)^3)/((2^2)^2 x^12 y^20)

2^2 = 4:

(4 (3 x^2 y^4)^3)/(4^2 x^12 y^20)

4^2 = 16:

(4 (3 x^2 y^4)^3)/(16 x^12 y^20)

Multiply each exponent in 3 x^2 y^4 by 3:

(4×3^3 x^(3×2) y^(3×4))/(16 x^12 y^20)

3×4 = 12:

(4×3^3 x^(3×2) y^12)/(16 x^12 y^20)

3×2 = 6:

(4×3^3 x^6 y^12)/(16 x^12 y^20)

3^3 = 3×3^2:

(4×3×3^2 x^6 y^12)/(16 x^12 y^20)

3^2 = 9:

(4×3×9 x^6 y^12)/(16 x^12 y^20)

3×9 = 27:

(4×27 x^6 y^12)/(16 x^12 y^20)

4/16 = 4/(4×4) = 1/4:

(27 x^6 y^12)/(4 x^12 y^20)

Combine powers. (27 x^6 y^12)/(4 x^12 y^20) = (27 x^(6 - 12) y^(12 - 20))/4:

(27 x^(6 - 12) y^(12 - 20))/4

6 - 12 = -6:

(27 x^(-6) y^(12 - 20))/4

12 - 20 = -8:

Answer: (27 y^(-8))/(4 x^6)

5 0
3 years ago
A ceramics store manufactures and sells coffee mugs. The revenue r(x) from the sale of x coffee mugs is given by r(x)-6.5x. Supp
KonstantinChe [14]

Answer:

Step-by-step explanation:

The revenue r(x) from the sale of x coffee mugs is given by

r(x) = 6.5x

the function for the cost of manufacturing x coffee mugs is c(x)= 0.75x + 1850.

Profit = Revenue - cost

P(x) = r(x) - c(x)

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P(x) = 6.5x - 0.75x - 1850

P(x) = 5.75x - 1850

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profit when x = 1000 is

P = 5.75 × 1000 - 1850

P = 5750 - 1850

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B) The profit function would be

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P(x) = 5.75x - 1850

3 0
2 years ago
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