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
natita [175]
2 years ago
7

Use the Empirical Rule. The mean speed of a sample of vehicles along a stretch of highway is 68 miles per​ hour, with a standard

deviation 3 of miles per hour. Estimate the percent of vehicles whose speeds are between 59 miles per hour and miles per hour.​ (Assume the data set has a​ bell-shaped distribution.)
Mathematics
2 answers:
Vsevolod [243]2 years ago
8 0

The question is an illustration of probabilities from z score.

<em>The percentage of vehicles whose speeds are between 59 miles per hour and 77 miles per hour is 99.73%</em>

<em />

The given parameters are:

\mu = 68 -- the mean

\sigma = 3 --- the standard deviation

The percent of vehicles between 59 and 77 miles per hour is represented as:

x_1 = 59

x_2 = 77

So, the probability is represented as:

P(59 < x < 77) = P(z_1 < z < z_2)

Calculate the z values using:

z = \frac{x - \mu}{\sigma}

When x_1 = 59

z_1 = \frac{59 - 68}{3} = -3

When x_2 = 77

z_2 = \frac{77 - 68}{3} = 3

So, we have:

P(59 < x < 77) = P(z_1 < z < z_2)

P(59 < x < 77) = P(-3 < z < 3)

Using empirical rule:

P(-3 --- from z table of probabilities

So, we have:

P(59

Represent as percentage

P(59

P(59

Hence, the percentage of vehicles whose speeds are between 59 miles per hour and 77 miles per hour is 99.73%

Read more about z score probabilities at:

brainly.com/question/16464000

Vladimir79 [104]2 years ago
3 0

About 99.7% of vehicles whose speeds are between 59 miles per hour and 77 miles per hour.

Empirical rule states that for a normal distribution, 68% lie within one standard deviations, 95% lie within two standard deviations, and 99.7% lie within three standard deviations of the mean.

Given that mean (μ) = 68 miles per hour, standard deviation (σ) = 3 miles per hour.

68% lie within one standard deviation = (μ ± σ) = (68 ± 3) = (65, 71).

Hence 68% of the vehicle speed is between 65 miles per hour and 71 miles per hour.

95% lie within two standard deviation = (μ ± 2σ) = (68 ± 2*3) = (62, 74).

Hence 95% of the vehicle speed is between 62 miles per hour and 74 miles per hour.

99.7% lie within three standard deviation = (μ ± 3σ) = (68 ± 3*3) = (59, 77).

Hence 99.7% of the vehicle speed is between 59 miles per hour and 77 miles per hour.

Find out more at: brainly.com/question/14468516

You might be interested in
A ball is thrown into the air with a velocity of 33 ft/s. Its height, in feet, after t seconds is given by
meriva

Answer:

velocity at t=1 is 1 ft/s

Step-by-step explanation:

by integration s(t) equation we get v(t)

v(t)=33-32t

by substitution t=1 in v(t) equation we get

33-32=1 ft/s

7 0
2 years ago
I don’t understand this
kumpel [21]

Answer: a=x represents sinks

b=the amount of money he will spend overall on the sink and sealent

c= 100x represents 100 sinks

d=joe will have to charge 85 dollars per sink

Step-by-step explanation:

8 0
3 years ago
Tammy purchased a prepaid phone card for $15. Long distance calls cost 18 cents a minute using this card. Tammy used her card on
Mars2501 [29]

Answer:

46 minutes

Step-by-step explanation:

Sorry about not answering your question sooner, but here is your answer:

In order to get the answer, we have to subtract the original amount of money on the phone card by the amount left ver after the call:

15 - 6.72 = 8.28

Then, we divide this number by 0.18:

8.28 / 0.18 = 46

So, Tammy's call lasted 46 minutes

Hope this helps :)

5 0
3 years ago
What is y=−29x 3 in standard form using integers?
cupoosta [38]
<span>add 2/9x to both sides, if you do that you get 2/9x+y=3. If you want to simplify it multiply everything by the denominator, in this case, 9 so then you would have 2x+9y=27 

Thank you for posting your question here at brainly. I hope the answer will help you. Feel free to ask more questions.
</span>
4 0
2 years ago
PLEASE HELP!
andreyandreev [35.5K]

Answer:

2,4,1

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
Other questions:
  • Misha found that the equation -|2x-10|-1=2 had two possible solution x=3.5and x =-6.5. Which explains whether or not her solutio
    14·2 answers
  • What is 13 2/6+105/6=
    15·1 answer
  • 1. Factor the poynomial into linear irreducible factors.
    14·1 answer
  • Antoine has $13 in his checking account. He buys some school supplies and ends up with $5 in his account. what was the overall c
    6·1 answer
  • D/3 is equal to or less than 2...solve for d​
    5·1 answer
  • HELP!
    14·2 answers
  • Point E has a positive y-coordinate.Where could point E be located on the coordinate plane?
    6·1 answer
  • Stacy spins the pointer 120 times and records it. The pointer lands 30 times on a section numbered 2, 19 times on 3, 25 times on
    11·1 answer
  • What's the domain and range of the exponential growth function? (please help asappp no spam please or links or anything like tha
    6·1 answer
  • Need help on the three table please help
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!