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
Drupady [299]
1 year ago
10

The advertised duration of the trip is 2 hours and 15 minutes. The company operating the ferry would like to increase its operat

ional efficiency by reducing the standard deviation so that they are on time 95% of the time. How much do they have to reduce the standard deviation
Mathematics
1 answer:
vesna_86 [32]1 year ago
5 0

The 2.88 minutes have to reduce the standard deviation to increase the efficiency.

According to the statement

we have given that the duration of the trip is 2 hours and 15 minutes. And we have to how much standard deviation be reduced to increase the operational efficiency.

So, For this purpose, we know that the

Let X be the time taken to reach the resort. Then it is  given that the

N (μ , σ).

Here μ is 2 hours then

μ  = 2*60 = 120 minutes.

And

Let σ be the reduced standard deviation such that new distributions becomes N (μ , σ)

Then P ( x <135)

here 135 is the minute format of 2 hours and 15 min.

So,

P ( x <135) = 0.95

And

P [ (x -120 / σ) < (135 -120 / σ)] = 0.95

P [ Z < ( 15 / σ)] = 0.95

And after solving it the

σ = 9.22 min.

i.e. 12 - 9.22 = 2.88 min.

So, The 2.88 minutes have to reduce the standard deviation to increase the efficiency.

Learn more about Standard deviation here

brainly.com/question/475676

Disclaimer: This question was incomplete. Please find the full content below.

Question:

The time it takes for a ferry to reach a summer resort from the mainland is Normally distributed with mean 2 hours and standard deviation 12 minutes. The advertised duration of the trip is 2 hours and 15 minutes. The company operating the ferry would like to increase its operational efficiency by reducing the standard deviation so that they are on time 95% of the time. How much do they have to reduce the standard deviation

#SPJ4

You might be interested in
Please help me with number 9-10
Finger [1]
(10). 423,,,,,,,,,,4.10=40.. Hopefully that's help u
7 0
3 years ago
What is the x and y intercept of f (x) = -x^2 + 25
Masja [62]

Answer: the x intercept is -5  and the  y intercept is 25.

Step-by-step explanation:

f(x) = -x^2 + 25  

The x intercept is when y is zero and the  y intercept is when x is zero.So input zero into the  expression and solve for y.

-1(0)^2 + 25 = 25 so the y intercept is 25.

0=-x^2 +25  

 -25      -25

-25 = -x^2

x^2 = 25

x = -5   or 5

 

8 0
3 years ago
EASY MATH 10 PTS + BRAINLIEST
mina [271]

Answer:

d. 5

Step-by-step explanation:

4 0
3 years ago
What is 7/8 minus 5/24 =?
marta [7]
I hope this helps you



7/8=7.3/8.3=21/24




7/8-5/24



21/24-5/24


16/24


8.2/8.3


2/3
3 0
3 years ago
A right triangle has a hypotenuse of length 21 and a leg of length 14. What is the length of the other leg of the triangle?
AlladinOne [14]
The answer is around 15.65.
6 0
3 years ago
Other questions:
  • Which of the following a graph of y=1/2x^2​
    14·1 answer
  • The difference of the squares of two positive consecutive even integers is 84. Find the integers. Use the fact​ that, if x repre
    7·1 answer
  • Sebuah tangga yang panjangnya 5m bersandar pada dinding rumah. Tinggi dinding yang di capai tangga tersebut adalah 3,5m, jarak u
    5·1 answer
  • Which of the binomials below is a factor of this trinomial x^2+4x+4
    14·1 answer
  • What is the y intercept of the line with the equation y=2x+8
    7·2 answers
  • What are two different statistics that demographers use to study population? define the statistics?
    11·2 answers
  • I want to know what the answer to this question is.
    5·2 answers
  • The distance from Point C to the tower at Point A is 1.2 miles, while the distance from Point C to the tower at Point
    10·1 answer
  • Match each algebraic expression to the correct verbal expression.
    8·1 answer
  • Scroll down to see image
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!