Mathematics, 02.07.2020 23:01 coolcat3190

The weight of an organ in adult males has a bell shaped distribution with a mean of 325 grams and a standard deviation of 50 grams. (A) about 99.7% of organs will be between what weights? (B) what percentage of organs weighs between 275 grams and 375? (C) what percentage of organs weighs between 275 grams and 425 grams?

Answers: 3

Show answers

Answers

Answer from: lalandaid

The number of weights of an organ in adult males = 374.85

The percentage of organs weighs between 275 grams and 375

P(275≤x≤375) = 0.6826 = 68%

The percentage of organs weighs between 275 grams and 425

P(275≤x≤375) = 0.8185 = 82%

Step-by-step explanation:

Step(i):-

Given mean of the normal distribution = 325 grams

Given standard deviation of the normal distribution = 50 grams

Given Z- score = 99.7% = 0.997

$Z = \frac{x-mean}{S.D} = \frac{x-325}{50}$

$0.997 = \frac{x-325}{50}$

Cross multiplication , we get

0.997 X 50= x-325

x - 325 = 49.85

x = 325 + 49.85

x = 374.85

The number of weights of an organ in adult males = 374.85

Step(ii):-

Let X₁ = 275 grams

$Z_{1} = \frac{x_{1} -mean}{S.D} = \frac{275-325}{50} = -1$

Let X₂ = 375 grams

$Z_{2} = \frac{x_{2} -mean}{S.D} = \frac{375-325}{50} = 1$

The probability of organs weighs between 275 grams and 375

P(275≤x≤375) = P(-1≤Z≤1)

= P(Z≤1)- P(Z≤-1)

= 0.5 + A(1) - ( 0.5 - A(-1))

= A(1) + A(-1)

= 2 A(1)

= 2 × 0.3413

= 0.6826

The percentage of organs weighs between 275 grams and 375

P(275≤x≤375) = 0.6826 = 68%

Let X₁ = 275 grams

$Z_{1} = \frac{x_{1} -mean}{S.D} = \frac{275-325}{50} = -1$

Let X₂ = 425 grams

$Z_{2} = \frac{x_{2} -mean}{S.D} = \frac{425-325}{50} = 2$

The probability of organs weighs between 275 grams and 425

P(275≤x≤425) = P(-1≤Z≤2)

= P(Z≤2)- P(Z≤-1)

= 0.5 + A(2) - ( 0.5 - A(-1))

= A(2) + A(-1)

= A(2) + A(1) (∵A(-1) =A(1)

= 0.4772 + 0.3413

= 0.8185

The percentage of organs weighs between 275 grams and 425

P(275≤x≤375) = 0.8185 = 82%

Answer from: Quest

x=17

step-by-step explanation:

solve 3x-24=x+10

then that makes it 2x=34 because you subtract an x from both sides to get rid of the one on the right, and then you add 24 to both sides to get rid of the 24 on the left

divide by both sides by 2 to get your answer so that you can get your answer

In circle a, bae dae. what is the value of x?

Answer from: Quest

The answer is

Another question on Mathematics

Mathematics, 21.06.2019 14:00

What is the equation of the following graph in vertex form? parabolic function going down from the left through the point zero comma twelve and through the point two comma zero and turning at the point four comma negative four and going up through the point six comma zero and continuing towards infinity courtesy of texas instruments a: y = (x − 4)2 − 4 b: y = (x + 4)2 − 4 c: y = (x + 2)2 + 6 d: y = (x + 2)2 + 12

Answers: 1

Answer

Mathematics, 21.06.2019 14:30

Estimate the distance between orlando and jacksonville

Answers: 1

Answer

Mathematics, 21.06.2019 17:30

Adiverr from the university of florida women’s swimming and diving team is competing in the ncaa zone b championships

Answers: 2

Answer

Mathematics, 21.06.2019 19:00

If f(x)= sqrt4x+9+2, which inequality can be used to find the domain of f(x)?