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
Katen [24]
3 years ago
12

A section of highway is posted with a 55 mph speed limit. In fact, speeds of cars traveling on this section are normally distrib

uted with mean 58 mph and standard deviation 5 mph. If the state patrol decides to ticket cars in the fastest 10 %, at what speed will they start ticketing
Social Studies
1 answer:
In-s [12.5K]3 years ago
8 0

Answer:

z=1.28

And if we solve for a we got

a=58 +1.28*5=64.4

So the value of height that separates the bottom 90% of data from the top 10% is 64.4.  

Explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let X the random variable that represent the velocity of a population, and for this case we know the distribution for X is given by:

X \sim N(58,5)  

Where \mu=58 and \sigma=5

For this part we want to find a value a, such that we satisfy this condition:

P(X>a)=0.10   (a)

P(X   (b)

Both conditions are equivalent on this case. We can use the z score again in order to find the value a.  

As we can see on the figure attached the z value that satisfy the condition with 0.90 of the area on the left and 0.1 of the area on the right it's z=1.28. On this case P(Z<1.28)=0.9 and P(z>1.28)=0.1

If we use condition (b) from previous we have this:

P(X  

P(z

But we know which value of z satisfy the previous equation so then we can do this:

z=1.28

And if we solve for a we got

a=58 +1.28*5=64.4

So the value of height that separates the bottom 90% of data from the top 10% is 64.4.  

You might be interested in
Congress's ability to print money is an example of
galina1969 [7]

The correct answer is <em>option 2. Expressed powers. </em>In section 8 of the Constitution of the United States, there is a list of the 27 powers that the Congress has. They are all called "Expressed Powers" because they are written down in the constitution, there is no need to imply them because they are already physically expressed in Section 8 of the US Constitution.

One of the Expressed power of Congress is to coin money. The term is defined as the ability to stamp a piece of gold, silver or other metal in order to determine its value. This is to say, the power of printing and stating the value of money.

8 0
3 years ago
From Isaac Stevens' perspective, what was the desired outcome of negotiations with the Native Americans?
alexgriva [62]

Answer:

B

Explanation:

Steven's desired outcome would be that Native Americans were to move Indians into the reservation land. He believed that the Indians were a hindrance for American civilization in Washington.

7 0
2 years ago
Which of these can lead to one group bearing the blame for others?
maxonik [38]

Answer:

<em><u>b</u></em><em><u>.</u></em>

Explanation:

<em><u>(</u></em><em><u>brainleist</u></em><em><u> </u></em><em><u>please</u></em><em><u> </u></em><em><u>tysm</u></em><em><u> </u></em><em><u>and</u></em><em><u> </u></em><em><u>rate</u></em><em><u> </u></em><em><u>excellent</u></em><em><u> </u></em><em><u>and</u></em><em><u> </u></em><em><u>thanks</u></em><em><u>)</u></em>

<em><u>❤</u></em><em><u>☺️</u></em><em><u>☻</u></em><em><u>♨️</u></em><em><u>♨️</u></em><em><u>☻</u></em><em><u>☺️</u></em><em><u>❤</u></em>

6 0
3 years ago
Read 2 more answers
ASAP 1) Which of the following was not a reason why former colonies in the Middle East continued to maintain connections with th
ANTONII [103]

Answer:B

Explanation:

7 0
3 years ago
Read 2 more answers
According to erik erikson's theory of development the key concern for early adulthood is
NemiM [27]
The concern is whether or not one can develop the capacity to share intimacy with someone else.
6 0
3 years ago
Other questions:
  • " regulations or new conditions for receiving grants that impose costs on state and local governments for which they are not rei
    9·1 answer
  • What is a health insurance deductible?
    10·2 answers
  • Labor unions were formed when individual workers found no success in dealing with their employers. True or false?
    12·1 answer
  • what 3 groups were not considered citizens, therefore were not represented at the constitutional convention?
    15·1 answer
  • What is the definition of the word mercantilism
    15·2 answers
  • How did the formation of a middle class affect peasants during the Middle Ages?
    8·2 answers
  • Which of these was a difference between the North and the South that contributed to tensions between the regions before the Civi
    8·2 answers
  • How does trade benefit buyers and sellers in Southwest Asia?
    8·2 answers
  • 100 POINTS<br><br> Social studies this is about money
    6·1 answer
  • A committee composed of a cross section of employees in a company evaluated the questions in a problem-solving skills test by as
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!