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Diano4ka-milaya [45]
2 years ago
6

The weight of people in a small town in Missouri is known to be normally distributed with a mean of 162 pounds and a standard de

viation of 28 pounds. On a raft that takes people across the river, a sign states, “Maximum capacity 3,401 pounds or 19 persons.” What is the probability that a random sample of 19 persons will exceed the weight limit of 3,401 pounds?
Mathematics
1 answer:
never [62]2 years ago
8 0

Using the normal distribution relation, the probability that sample will exceed the weight limit is 0.004

<u>Using the relation</u> ::

  • Zscore =(X - μ) ÷ σ

The mean, μ = np = (162 × 19) = 3078

The standard deviation, σ = 28 × √19 = 122.049

<u>The Zscore</u> :

Zscore = (3401 - 3078) ÷ (122.049)

Zscore = 2.65

Hence,

P(Z > 2.65) = 1 - P(Z < 2.65)

Using a normal distribution table :

P(Z > 2.65) = 1 - 0.9959

P(Z > 2.65) = 0.004

Learn more : brainly.com/question/25204474

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Paul [167]

The answer 30, 40, 50

Forms a right triangle

Hope this helps!

5 0
2 years ago
What is the area of a circle if its radius is 5? Step-by-step explanation too.
sesenic [268]

Answer:

Step-by-step explanation:

Area = 3.14r^2

Area = 3.14(5)^2

Area = 3.14(25)

Area = 78.5

4 0
3 years ago
Suppose that 70% of all Americans agree that a candidate is not trustworthy. A survey finds the 116 out of 200 agree that a cand
MArishka [77]

Answer:

Prob = 0.00009 = 0.009%  , Less Likely

Step-by-step explanation:

Using Binomial Distribution, Prob = N c r . ( P )^ r . ( Q ) ^ (n -r)   .

,P = success probability, ie candidate considered be trustworthy = 70% = 0.7; N = trials = 200 ; Q = failure probability, ie non trustworthy = 1 - 0.7 = 0.3  r = no. of success = 116

Pr = 200c116 . (0.7)^116 . (0.3)^(200 - 116) = 200c116 (0.7)^116 (0.3)^84 = 0.00009 = 0.009%

Less probability means Less Likely

5 0
2 years ago
A farmer has 64 feet of fence to enclose a rectangular vegetable garden. which dimensions would result in the biggest area for t
Blababa [14]
The dimensions that would result to maximum area will be found as follows:
let the length be x, the width will be 32-x
thus the area will be given by:
P(x)=x(32-x)=32x-x²
At maximum area:
dP'(x)=0
from the expression:
P'(x)=32-2x=0
solving for x
32=2x
x=16 inches
thus the dimensions that will result in maximum are is length=16 inches and width=16 inches

7 0
3 years ago
Kyle and Linda are married with two children at home and a mortgage. Kyle's net pay per year is $32,000 and Linda's is $48,000.
andrezito [222]

Question: As their financial advisor, what part of Kyle and Linda's financial plan would you encourage them to work on and why?

ANSWER:

Their plan for protecting their assets.

They should have life insurance on Linda.

7 0
3 years ago
Read 2 more answers
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