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
Nat2105 [25]
2 years ago
11

Consider the ski gondola from Question 3. Suppose engineers decide to reduce the risk of an overload by reducing the passenger c

apacity to a maximum of 15 skiers. Assuming the maximum load limit remains at 5,000 lb, what is the probability that a group of 15 randomly selected skiers will overload the gondola
Mathematics
1 answer:
padilas [110]2 years ago
5 0

Answer:

The probability that a group of 15 randomly selected skiers will overload the gondola = (3.177 × 10⁻⁵¹)

(almost zero probability showing how almost impossible it is to overload the gondola, therefore showing how very safe the gondola is)

Step-by-step explanation:

Complete Question

A ski gondola carries skiers to the top of the mountain. If the Total weight of an adult skier and the equipment is normally distributed with mean 200 lb and standard deviation 40 lb.

Consider the ski gondola from Question 3. Suppose engineers decide to reduce the risk of an overload by reducing the passenger capacity to a maximum of 15 skiers. Assuming the maximum load limit remains at 5,000 lb, what is the probability that a group of 15 randomly selected skiers will overload the gondola.

Solution

For 15 people to exceed 5000 lb, each person is expected to exceed (5000/15) per skier.

Each skier is expected to exceed 333.333 lb weight.

Probability of one skier exceeding this limit = P(x > 333.333)

This becomes a normal distribution problem with mean = 200 lb, standard deviation = 40 lb

We first standardize 333.333 lbs

The standardized score for any value is the value minus the mean then divided by the standard deviation.

z = (x - μ)/σ = (333.333 - 200)/40 = 3.33

To determine the required probability

P(x > 333.333) = P(z > 3.33)

We'll use data from the normal distribution table for these probabilities

P(x > 333.333) = P(z > 3.33) = 1 - P(z ≤ 3.33)

= 1 - 0.99957

= 0.00043

So, the probability that 15 people will now all be above this limit = (probability of one person exceeding the limit)¹⁵ = (0.00043)¹⁵

= (3.177 × 10⁻⁵¹)

(almost zero probability showing how almost impossible it is to overload the gondola, therefore showing how very safe the gondola is)

Hope this Helps!!!

You might be interested in
PLEASE ANSWER FAST I WILL GIVE BRAINLIEST
ANTONII [103]

Answer: 10 units²

Step-by-step explanation:

We can divide the shape along the y-axis to get 2 separate triangles. If we find the area of each and add them up, we can get the total area of the figure.

We can get each triangle's area using the formula A = \frac{1}{2}bh

<h3>Left Triangle</h3>

base length - 4 units

height - 4 units

A = \frac{1}{2}(4)(4)

A=\frac{1}{2}(16)

A =8\hspace{0.1cm}units^2

<h3>Right Triangle</h3>

base length - 2 units

height - 2 units

A = \frac{1}{2}(2)(2)

A=\frac{1}{2}(4)

A=2\hspace{0.1cm}units^2

Total = 8 units² + 2 units² = 10 units²

6 0
1 year ago
Mattie uses the discriminant to determine the number of zeros the q
enot [183]

Answer:for ax^2+bx+c=0 the discriminant is b^2-4ac

there are 3 basic cases of what happens for different discriminants

1. if the discriminant is less than 0, then there are no real zeroes

2. if the discriminant is 0, then it has 1 zero

3. if the discriminant is greater than 0, it has 2 zeroes

so given

0=3x^2-7x+4

a=3,b=-7,c=4

thus the discriminant is (-7)^2-4(3)(4)=49-48=1

the discriminant is 1. 1 is positive, thus the equation has 2 zeroes because the discriminant is greater than 0

the answer is the equation has two zeroes because the discriminant is greater than 0

Step-by-step explanation:

3 0
3 years ago
PLZ HELP I NEED BY 2:00 PM ATY LEAST!!! WILL GIVE BRAINLYIST<br> Find the value of in each case:
Pie

Answer:

23°

Step-by-step explanation:

Step 1:

< GEC + < ECG + < CGE = Δ ECG    Sum of a Δ

Step 2:

< IGF = < GCE    Corresponding ∠ 's

Step 3:

14° + 180° - 4x + 78° = 180°   Substitution

Step 4:

272° - 4x = 180°     Add / Algebra

Step 5:

- 4x = - 92   Subtract 272° on both sides

Step 6:

- 92 ÷ - 4   Divide

Answer:

x = 23°

Hope This Helps :)

7 0
3 years ago
Read 2 more answers
Find the area **Number Only** Thanks
Contact [7]

Answer:

a=12

Step-by-step explanation:

A=b*h/2

a=4.8mi*5mi/2

a=24/2

a=12

hope this helps

7 0
3 years ago
Please help me solve 1/3x&gt;-4
Naya [18.7K]

Answer:

Step-by-step explanation:

1/3x > -4

cross multiply

1>-4 × 3x

1>-12x

solve for x

x = -1/12

8 0
3 years ago
Other questions:
  • 1. What is the probability of rolling a number greater than a 4 on a standard dice? Remember to reduce your fraction.
    8·2 answers
  • A motorist is pumping gas into a car at a rate of 5/12 of a gallon every 1/24 of a minute. At this rate, how many gallons of gas
    8·1 answer
  • What is the approximate solution to the equation 2t=38 ? 0.1906 3.6380 5.2479 19.0000
    9·2 answers
  • If 4b-1=b, then 24b= ?
    13·1 answer
  • He picture shows a triangular island.A right triangle is shown with an acute angle equal to 50 degrees. The length of the side o
    15·2 answers
  • How much water can be held by a cylindrical tank with a radius of 12 feet and a height of 30 feet?
    8·1 answer
  • Using the formula a=p(1+r/n)^nt find how long it takes an investment to double if it is invested at 8% interest compounded month
    12·1 answer
  • In a 45 45 right triangle what is the frmula to find either leg of the triangle
    14·1 answer
  • Six times the sum of a number and 9 equals 5.<br> Use variable y for unknown number.
    7·1 answer
  • Which inequality is graphed on the grid?
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!