Automobiles traveling on a road with a posted speed limit of 65 miles per hour are checked for speed by a state police radar system. The following is a frequency distribution of speeds. Speed (miles per hour) Frequency 45 up to 55 50 55 up to 65 325 65 up to 75 275 75 up to 85 25 picture Click here for the Excel Data File The mean speed of the automobiles traveling on this road is the closest to ____.

Answers

Answer 1

Answer:

The mean speed of the automobiles traveling on this road is the closest to 64 miles per hour

Step-by-step explanation:

Given

[tex]\begin{array}{cc}{Speed} & {Frequency} & {45-55} & {50} & {55-65} & {325} & {65-75} & {275} & {75-85} & {25} \ \end{array}[/tex]

Required

Calculate the mean

First, calculate the midpoint (x)

For 45 - 55: [tex]x = \frac{1}{2}(45+55) = 50[/tex]

For 55 - 65: [tex]x = \frac{1}{2}(55+65) = 60[/tex]

For 65 - 75: [tex]x = \frac{1}{2}(65+75) = 70[/tex]

For 75 - 95: [tex]x = \frac{1}{2}(75+85) = 80[/tex]

So, we have:

[tex]\begin{array}{ccc}{Speed} & {Frequency} & {x} & {45-55} & {50} & {50} & {55-65} & {325} & {60} & {65-75} & {275} &{70} & {75-85} & {25} &{80}\ \end{array}[/tex]

The mean is then calculated as:

[tex]\bar x = \frac{\sum fx}{\sum f}[/tex]

[tex]\bar x = \frac{50*50+325*60+275*70+25*80}{50+325+275+25}[/tex]

[tex]\bar x = \frac{43250}{675}[/tex]

[tex]\bar x = 64.07[/tex]

[tex]\bar x = 64[/tex] --- approximated


Related Questions

Evaluate the expression.
1/7 divided by 2/5 - 1/7

Answers

Answer:

3/14

Step-by-step explanation:

In order to divide fractions, you'll have to find the recriprocal of 2/5. That is 5/2. So do 1/7 x 5/2 = 5/14.

So now find 5/14 - 1/7.

1/7 converted to a denominator of 14 is 2/14.

So we have 5/14-2/14 = 3/14. That is your answer.

The first thing that we should do is turn this into a mathematical formula.

[tex]\frac{1}{7} / (\frac{2}{5} -\frac{1}{7} ) = \frac{1}{7} /(\frac{9}{35} )[/tex] .

This is more generally written as

[tex]7(\frac{9}{35}) = \frac{9}{5}[/tex]

So, our answer is 9/5 or 1.8

Perform the operation.
(6x2 – 5x) – (10x² + 8x – 8)
HELP ASAP PLS

Answers

-4x^2-13x+8. It says negative four x squared just in case you didn’t know. I hope it’s right

Are there any supplementary, vertical, or complimentary angles? If so wich ones

Answers

Supplementary: N and M

Supplementary angles: A pair of angles that when combined are equal to 180°.

Vertical: M and I

Vertical angles: A pair of opposite angles that are made by two intersecting lines.

Complimentary: None

Complimentary angles: A pair of angles that when combined are equal to 90°.

Hope this helps! Good luck! :D

Karlee has 4 sets of pencils. In each set, 1 pencil is 1/
7 of the pack. All of the packs are full. What is the total number of pencils that Karlee has in her 4 pencil packs?


someone answer plz

Answers

Answer:

karlee has 28 pencils in her 4 pencil packs

Answer:

Its 28

Step-by-step explanation:

because it is

Help me anyone I need it now!

Giving brainliest

Answers

Step-by-step explanation:

simple interest formula is I = p × r × t / 100

$32 = p × 8 × 3 / 100

$32 = 24p / 100

32 × 100 = 24p

3200 / 24 = $133.33

Needs answer please

Answers

Answer:

Your answer is.....

2.4 pound in each bag

Mark it as brainlist answer . follow me for more answer.

Step-by-step explanation:

Answer:

Between [tex]2\frac{1}{3} and 2\frac{3}{5}[/tex]

Step-by-step explanation:

12 ÷ 5 = 12/5 = [tex]2\frac{2}{5}[/tex]

is this a function? why or why not ?

Answers

Yes it is a function

Asaprocurementofficer,youareresponsiblefortheselectionofasupplierformanufactured components to use in your company’s production process. A potential supplier has indicated that they can supply the component that has a defect rate of 1.1% that is well below your current supplier's defect rate. You take 100 components and find four of them defective upon evaluation. Using the Poisson Distribution, how likely is it to get four or fewer defects out of 100?

Answers

Ce clasă ești sa văd daca te pot ajuta

-2 3 8 у 126 12 Is the relationship linear, exponential , neither?

Answers

Answer: It neither

Step-by-step explanation:

because x part is linear while y part is neither linear or exponential.

They both are supposed to have the same relationship since They are not then it’s neither linear or exponential.

Hope it help.

Which of the following are reasons that a sampling technique may not be scientific.

a. People who were asked refused to answer.
b. The graphs are drawn in a way to mislead the reader.
c. The researcher was not able to survey every individual from the population.
d. The funders of the project are partial to the results.
e. Two factors cannot be separated to determine which is the one that is responsible for the outcome.
f. Trying to conclude that there is a cause-and-effect relationship when something else causes both.

Answers

Answer:

b. The graphs are drawn in a way to mislead the reader.

f. Trying to conclude that there is a cause-and-effect relationship when something else causes both.

Step-by-step explanation:

The sampling technique is used to make observation about entire population. The sampling may be misleading if the graphs are not properly drawn. This could mislead the reader and the sampling technique will not be scientific.

Sampling may be unscientific when the graphs are drawn in a way to mislead the reader.

Sampling is a simple way of carrying out scientific studies. In a sampling technique, a small fraction of the whole is selected for study in such a manner that represents the whole.

A sampling may not be scientific if;

The graphs are drawn in a way to mislead the reader.Trying to conclude that there is a cause-and-effect relationship when something else causes both.

Learn more about sampling: https://brainly.com/question/857770

Fine the exponent ??

Answers

Answer:

the exponent is 7 why does it make me put 20 charects

Answer:

3

Step-by-step explanation:

27 = 3 to the power of 3

3 x 3 x 3 = 27

Which statement is not true about the data shown
by the box-and-whisker plot below?
0 10 20 30 40 50 60 70 80 90 100
Select one:
a. The median of the upper half of the data is
70.
b. The range is 60.
C. Three fourths of the data is less than 58.
d. Half the data lies between 43 and 70.
e. None of the above

Answers

Answer:

A

Step-by-step explanation:

Because it's 50 writing it down n scratching it out u will find that 50 is your median not 70

Answer:

for me, the answer was "Three-fourths of the data is less than 58."  or C.

Step-by-step explanation:

coz i had the same question and that was the answer for me, but not sure for others.

Find the inverse function of f(x)=4x-8

Answers

Answer:

f^-1(x)=1/4x+2

Step-by-step explanation:

y=4x-8

change x and y

x=4y=8

switch sides

4y-8=x

add 8

4y=x+8

divide both sides by 4

y=1/4x+2

substitute f^-1(x) for y

f^-1(x)=1/4x+2

Evilate the functions

f(x+7)=

Answers

Answer:

hindi ko alam pano bayanpasenya na

hey yall what is 34 x 45 x 567

Answers

Answer:

867510

Step-by-step explanation:

34 x 45 = 1530

1530 x 567 = 867510

hope this helped

The answer is

[tex]867510[/tex]

The line with a slope of 1/3 and a y- intercept of -15 intersects the line passing through which of these pairs of points? Select THREE that apply

Answers

BCEare the correct answers!Let me know if I'm wrong!

1. Write your answer with the number only, for example 555. Do not use a
degree symbol. *
The angles below form a linear pair.
What is the measure of angle ABC?

Answers

Answer:

Angle ABD= 132 degrees

Step-by-step explanation:

We know this because the angles are supplementary meaning they add up to equal 180.

180-48= 132

Answer:

132

Step-by-step explanation:

i took the test]

HELP ME I NEED SOMEONE TO SHOW WORK AND AWNSER QUESTION ITS TIMED PLEASE HURRY 60 POINTS FOR IT!

Answers

Answer:

Hope this helps, thank you !!

PLEASE DO THIS AND SHOW WORK (USE INVERSE OPERATION)

Answers

Answer:

No bond, I was on the run, bet you can't relate

Totin' guns, shootin' sh,it for fun, bet you can't relate

Locked up, couldn't see my son, I bet you can't relate

Jumped the opps, ain't no one on ones, I bet you can't relate r.i.p my ni.gga von

Step-by-step explanation:

Which expression is equivalent to 9+24

Answers

Answer:

which expresión is equivalent to 9+24

Please help, this is due soon

Answers

Answer:

A!

Step-by-step explanation:

All of the numbers line up in skip counting. (by 3)

Hope this helps! Mark me as brainliest if it does :)

The answer is “A” because you multiply x by 3 and get y.

Equation A: y = -9x + 14

Equation B: y = x - 6

What is the solution ( , ) to the given set of equations?

Answers

Answer:

compare both the equation we get,

X-6 = -9x+14

or, 10X =20

or, X= 2

Y=X-6

or, Y= 2-6

or, Y= -4

hence the solution is (2,-4)

Find the area.
3 ft.
9 ft.
4ft.
5 ft.
Cid +

Answers

Figure it out it’s easy

Your friend says that the solutions to the inequality 7x-20x<52 are x<-4 Solve the inequality correctly. What error did your friend​ make?
What are the solutions of the​ inequality?

Answers

Answer:

instead of x < -4 it should be x > -4

Step-by-step explanation:

7x - 20x < 52

subtract 20x from 7x which is -13x

now the equation is -13x < 52

divide both sides by -13 but when you divide by a negative you switch the sign so it would x > -4 not x < -4

hope this helps :)

An 8ft length of 4 inch wide crown molding costs $15. How much will it cost to buy 72 ft of crown molding?

Answers

Answer:

Answer: $70

 

EXPLANATION

 

Step-by-step explanation:

Given, for a 4 inch wide crown molding:

8 ft length costs $14

Cost of 40 ft length = ?

 

8 ft length costs $14

To find the cost of 1 ft length,

Divide through by 8

8ft/8 length costs $14/8

1ft costs $1.75

 

Now, to find the cost of 40 ft length

1ft costs $1.75

1 ft x 40 would cost $1.75

40 ft would cost $70

 

Therefore, it would cost $70 to buy 40 ft of crown molding

como puedo resolver 5 anos en in minuto​

Answers

5 años = 365 días x 5, = 1.825 días. Agregue 1 día para el año bisiesto. 24 horas en cada día x 1826 = 43,824 horas. 60 minutos en cada hora x 43,824 = 2,629,440.

Darby bought a rare baseball card for $2,000. Three years later, the value of the card had increased 35% of its original value. By how much did the value of Darby’s baseball card increase?

$___

Answers

The card value after its increase of 35% would be $2,700.

Simon mixes dried fruits and nuts to make a trail mix that he sells at the farmer's market. The dried fruits cost $6 per pound. The nuts cost
$2 per pound. It costs Simon $40 to make 12 pounds of trail mix.
Which system of equations can be used to find the number of pounds, x, of dried fruits and the number of pounds, y, of nuts that Simon used
to make 12 pounds of trail mix?

Answers

Answer:

d

Step-by-step explanation:

Find the value of x.
30°
15x
A. 4
B. 10
C. 12
D. 2

Answers

Answer:

10 is the answer

Step-by-step explanation:

At the city museum, child admission is $6.40 and adult admission is $9.90. On Saturday, twice as many adult tickets as child tickets were sold, for a total sales of $733.60. How many child tickets were sold that day?

Answers

Answer:

x child tickets, y adult tickets

6.40x+9.50y=1260.70

x+y=150

64x+95y=12607

x+y=150

If you solve this, you have to get x=53, y= 97.

So 53 child tickets and 97 adult tickets

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