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
777dan777 [17]
3 years ago
13

A random sample of 121 automobiles traveling on an interstate showed an average speed of 73 mph. from past information, it is kn

own that the standard deviation of the population is typically 11 mph. the 95% confidence interval average speed on this section of the interstate is:
Mathematics
1 answer:
tatiyna3 years ago
4 0

121 is big enough to assume normality and not worry about the t distribution. By the 68-95-99.7 rule a 95% confidence interval includes plus or minus two standard deviations. So 95% of the cars will be in the mph range


(73 - 2 \cdot 11, 73 + 2 \cdot 11) = (51,95)


The question is a bit vague, but it seems we're being asked for the 95% confidence interval on the average of 121 cars. The 121 is a hint of course.


The standard deviation of the average is in general the standard deviation of the individual samples divided by the square root of n:


\sigma = \dfrac{ 11}{\sqrt{121}} = 1


So repeating our experiment of taking the average 121 cars over and over, we expect 95% of the averages to be in the mph range


(73 - 2 \cdot 1, 73 + 2 \cdot 1) = (71,75)


That's probably the answer they're looking for.



You might be interested in
a rectangle has an area that is represented by 9x²-4. the length of the rectangle is 3x-2. what is the width?
PSYCHO15rus [73]

Step-by-step explanation:

the area is

length × width

(3x - 2) × width = 9x² - 4

to find width we could do a real polynomial division or simply recognize the fact that

(a + b)(a - b) = a² - b²

and we see that in our area calculation we are missing the (a + b) factor.

so, width = (3x + 2)

but if you want the division :

9x² - 4 : 3x - 2 = 3x + 2

- 9x² - 6x

-----------------

0 6x - 4

- 6x - 4

----------------------

0 0

again, width = (3x + 2)

6 0
2 years ago
Suppose the cost of electricity is $0.03 for each kilowatt-hour. Carlos's house runs on 11.14 kilowatt-hours a day. Find the cos
irga5000 [103]
Answer: I think the answer is $33.42

Explanation: If it’s $0.03 for every hour and there is only 11.14 hours used a day just multiply 11.14 by .03 and you get .3342 then you move the decimal over 2 spaces to get 33.42
8 0
2 years ago
How do you solve it?
MatroZZZ [7]

Answer:

<em>i: </em>x=-2, x=1

<em>ii: </em>x=-1/2

Step-by-step explanation:

Quadratic form:

You solve <em>i </em>by using FOIL (First, Outside, Inside, Last) because it is a multiplication problem.

(x+2)(x-1)=0

<em>"first"</em> would be x*x, which would equal x^{2}

<em>"outside"</em> would be x*-1, which would equal -1x, or -x

<em>"inside"</em> would be 2*x, which would equal 2x

<em>"last" </em>would be 2*-1, which would equal -2

Now you need to combine the terms so that they are one after the other

x^{2}-x +2x-2

Combine like terms, and you should get:

x^{2} +x-2

i Solution

<em>You need to get the variable by itself.</em>

<em>Subtract two from both sides</em>

x+2=0\\x=-2

<em>Add one to both sides.</em>

x-1=0\\x=1

ii Solution

<em>Add all the terms.</em>

x+2+x-1=0\\2x+1=0\\2x=-1\\x=-\frac{1}{2}

8 0
3 years ago
Enter the range of values for x:<br> B<br> 15<br> 2x - 10<br> С<br> 48°<br> A<br> 18<br> [?] Enter
SOVA2 [1]
<h3>Answer:   5 < x < 29</h3>

=========================================

Explanation:

Since AB is smaller than AD, this must mean the angle ACB is smaller than angle ACD. Note how these angles are opposite the sides mentioned.

So 2x-10 < 48

At the same time, 2x-10 is also larger than 0.

Overall, we can say 0 < 2x-10 < 48

---------

Let's solve for x

0 < 2x-10 < 48

0+10 < 2x < 48+10 ...... add 10 to all sides

10 < 2x < 58

10/2 < x < 58/2 ..... divide all sides by 2

5 < x < 29

8 0
3 years ago
Transform the equation to isolate x: ax = bx + 1. How is the value of x related to the difference of a and b? The equation ax =
butalik [34]

Answer:Transform the equation to isolate x: ax = bx + 1. How is the value of x related to the difference of a and b

Step-by-step explanation:

4 0
3 years ago
Other questions:
  • 7: Maribel blinks her eyes 105 times in 5 minutes. If b represents the number of times Maribel blinks in m minutes, what is a li
    12·1 answer
  • What is the length between (4,3) and (-5,-2)
    15·2 answers
  • Provide reasons for the proof. Given line h is parallel to line k. line j is perpendicular to line h. Prove line j is perpendicu
    5·1 answer
  • An interior painter is painting a wall that is 8 feet by 14 feet he needs to determine how much paint he will need for the job i
    8·2 answers
  • How does an earthquake of magnitude 7.9 compare in intensity with an earthquake of magnitude of 3.7 on the Richter​ scale? The l
    13·1 answer
  • A local businessman bought a square plot of land. The sides of the lot measure 32 feet on each side. He decides to split the lot
    11·1 answer
  • Using the number 686293, what is the value of the digit 8
    5·1 answer
  • HELP PLEASE QUICK! its 7-grade math
    9·2 answers
  • Find the value of x:
    14·1 answer
  • Select the correct answer.
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!