1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
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

You might be interested in
A ramp is elevated to a height of 27 inches from the base. The horizontal distance between the lower end of the ramp and the bas
vichka [17]

Answer:

74.09453421...

Step-by-step explanation:

Pythagorean Theorem

8 0
2 years ago
18% of what number is 29?
galina1969 [7]

Alright, so we are trying to figure out what number 18% of equals 29. First, we should divide 100 by 18 we get 5.55555555555. That means 29*5.5555555555 is the number we are looking for: <em>29*5.5555555555=161.111111</em>

Answer:161.11111111111(repeated infinitely)

5 0
3 years ago
Select all graphs that represent functions
mylen [45]

Answer:

where is the functions

Step-by-step explanation:

3 0
2 years ago
Hii Please Answer ASAP and only if you know the answer! :P I will give brainliest to right answer!! :)
olga nikolaevna [1]

Answer:

Step-by-step explanation:

Here so u can give that person brainliest

5 0
3 years ago
How to solve a one step equation of R+3= -6 1/2 <br> please show all the work
IgorC [24]
Solve for R:
R + 3 = -(1/2 + 6)
Put 1/2 + 6 over the common denominator 2. 1/2 + 6 = (2×6)/2 + 1/2:
R + 3 = -(2×6)/2 + 1/2
2×6 = 12:
R + 3 = -(12/2 + 1/2)
12/2 + 1/2 = (12 + 1)/2:
R + 3 = -(12 + 1)/2
12 + 1 = 13:
R + 3 = -13/2
Subtract 3 from both sides:
R + (3 - 3) = -13/2 - 3
3 - 3 = 0:
R = -13/2 - 3
Put -13/2 - 3 over the common denominator 2. -13/2 - 3 = (-13)/2 + (2 (-3))/2:
R = (-13)/2 - (3×2)/2
2 (-3) = -6:
R = (-6)/2 - 13/2
(-13)/2 - 6/2 = (-13 - 6)/2:
R = (-13 - 6)/2
-13 - 6 = -19:
Answer:  R = (-19)/2
6 0
3 years ago
Other questions:
  • a woman buys a suite of furniture for $1920. A deposit of 25% is paid on interest at 12% per annum is charged. What is the total
    14·1 answer
  • Divisibility rule for 4.
    12·2 answers
  • Use the coordinates of the labeled point to find the point-slope equation of the line.
    8·2 answers
  • In a year group of 216 students, 15 of them
    14·1 answer
  • One banana and one peach weigh the same as 14 strawberries .Two peaches weigh the same as 10 strawberries how much does a banana
    8·1 answer
  • The graph shows the amount of money paid when purchasing bags of candy at the zoo: A graph is shown. The x-axis is labeled from
    5·2 answers
  • Evaluate the expression 8b/a if b=8 and a=2<br><br> FYI 8b/a is a fraction.
    12·1 answer
  • If one lady make 50 roti in 60 mins then how 3 ladies will make how many roties in 60 mins
    10·1 answer
  • Part A -
    10·1 answer
  • Whats the number of pi
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!