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
Nostrana [21]
3 years ago
7

When Hailey commutes to work, the amount of time it takes her to arrive is normally distributed with a mean of 21 minutes and a

standard deviation of 3.5 minutes. Out of the 211 days that Hailey commutes to work per year, how many times would her commute be between 19 and 26 minutes, to the nearest whole number?
Mathematics
1 answer:
miskamm [114]3 years ago
8 0

Answer: 135 days

Step-by-step explanation:

Since the amount of time it takes her to arrive is normally distributed, then according to the central limit theorem,

z = (x - µ)/σ

Where

x = sample mean

µ = population mean

σ = standard deviation

From the information given,

µ = 21 minutes

σ = 3.5 minutes

the probability that her commute would be between 19 and 26 minutes is expressed as

P(19 ≤ x ≤ 26)

For (19 ≤ x),

z = (19 - 21)/3.5 = - 0.57

Looking at the normal distribution table, the probability corresponding to the z score is 0.28

For (x ≤ 26),

z = (26 - 21)/3.5 = 1.43

Looking at the normal distribution table, the probability corresponding to the z score is 0.92

Therefore,

P(19 ≤ x ≤ 26) = 0.92 - 28 = 0.64

The number of times that her commute would be between 19 and 26 minutes is

0.64 × 211 = 135 days

You might be interested in
A golfer exerts a force of 15.0 N on a golf ball that has a mass of 0.42 kg. What is the golf
Gala2k [10]

Answer:

35.71m/s²

Step-by-step explanation:

using the formula force(F)=mass(m)×acceleration(a)

a =

\frac{f}{m}

F=15.0N

m=0.42kg

a=?

a=15÷0.42

a=35.71m/s²

5 0
3 years ago
Read 2 more answers
-9x-12=35-x
masya89 [10]
= -<span>9x-12=35-x

Put like terms together:

= -9x + x = 35 + 12

= -8x = 47

= x = -47/8

= x = -5.875

In short, Your Answer would be: -5.875

Hope this helps!</span>
6 0
3 years ago
I need help it’s for a very hard test
Mumz [18]

Answer:

C

Step-by-step explanation

This has a factor of 6% or 0.06. But, you are adding and not subtracting so it is 1.06. ( If you multiply by a number less than 1 then it is actually dividing) So C is the only on that is correct.

6 0
3 years ago
If the cos of angle x is 8 over 17 and the triangle was dilated to be two times as big as the original, what would be the value
Viktor [21]

Answer:

the answer is 8/17

Step-by-step explanation:

i got it right on the quiz

6 0
3 years ago
Answer this problem<br>-3+(-2)​
Nikolay [14]

Answer:

-5

Explaination:

Because -3-2 is -5.

6 0
3 years ago
Read 2 more answers
Other questions:
  • the width of a rectangle is 12 units less than the length. The perimeter is 108 units. Find the length
    8·1 answer
  • Round 73.31 to the nearest tenth
    9·1 answer
  • Explain how to find the common ratio of a geometric sequence.
    13·2 answers
  • What is the slope of the line with equation y=9x
    12·2 answers
  • What is this 1/6 + 2/18
    10·1 answer
  • The present ages of Vijay and gautam are in ratio 2:3. five years hence,their ages will be in the ratio 3:4. find their present
    15·1 answer
  • Jeff and Brett both play basketball at the country club. Jeff is a
    12·1 answer
  • Marjorie needs to earn a C in her Geology class. Her current test scores are 71,77, and 72. Her final exam is worth 6 test score
    9·1 answer
  • Dave wants to sketch a scale drawing of the porch. Choose a reasonable scale and make a scale drawing of the porch. Label the de
    10·1 answer
  • Give the slope between the points. Answer
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!