he speeds (in MPH) of automobiles traveling in a city are given below:
20, 35, 42, 52, 65, 49, 24, 37, 23, 41, 50, 58
The mean speed of the cars is

Answers

Answer 1

Answer:

Mean speed = 41.3 mph

Step-by-step explanation:

Given that,

The speeds of an automobiles are given below:

20, 35, 42, 52, 65, 49, 24, 37, 23, 41, 50, 58

We need to find the mean speed of the cars.

Mean = sum of observations/ no. of observation

[tex]M=\dfrac{20+35+42+52+65+49+24+37+23+41+50+58}{12}\\\\M=41.3[/tex]

So, the mean speed of the cars is equal to 41.3 mph.


Related Questions

Pls solve this question:
it is about Square and square roots
if u answer, then I will mark you as brilliant

Answers

Answer:

the answer is 2.3

Step-by-step explanation:

bc if u take the square root of 2.3 it would be 1.516575089 in the decimal form then u multiply it by that decimal and get 2.3. hope this help

Answer:

2.3

Step-by-step explanation:

[tex]\sqrt{2.3}[/tex]  * [tex]\sqrt{2.3}[/tex]

it means

[tex](\sqrt{2.3})^2[/tex]

root and square gets cancel so,

2.3

please help me with this question.

Answers

Answer:

I think it's 18.1539073013

i'm  not sure sorry

DIC A student has a total of $3000 in student loans that will be paid with a 48-month installment loan with monthly payments of $73.94. Determine the APR of the loan to the nearest one-half of a percent​

Answers

Answer:

The APR of the loan was 18.30%.

Step-by-step explanation:

Given that a student has a total of $ 3000 in student loans that will be paid with a 48-month installment loan with monthly payments of $ 73.94, to determine the APR of the loan to the nearest one-half of a percent the following calculation must be done:

3,000 = 100

(73.94 x 48) = X

3,000 = 100

3,549.12 = X

3,549.12 x 100 / 3,000 = X

354,912 / 3000 = X

118.30 = X

118.30 - 100 = 18.30

Therefore, the APR of the loan was 18.30%.

A rectangle is measured 6.5 cm by 7.8 cm .
If its actual area is 52.4 square cm , find the percentage error in the area.

Answers

Answer:

3.24%

Step-by-step explanation:

Percentage error =[ (|calculated value  - actual value) / actual value] x 100

calculated area = length x width

6.5 x 7.8 = 50.7

[(|50.7 - 52.4|] / 52.4] x 100 = 3,24

The system of equations y = negative one-fifth x minus 6 and y = –2x + 3 is shown on the graph below.


On a coordinate plane, 2 lines intersect at (5, negative 7).

According to the graph, what is the solution to this system of equations?
(5, –7)
(–7, 5)
(5, 7)
(7, 5)

Answers

Answer:

It is A (5, -7)

Step-by-step explanation:

Answer:

A 5,-7

Step-by-step explanation:

Can someone please help me ?

Answers

Answer:

5x+3y=6

Step-by-step explanation:

Use the slope intercept form then rearrange

help help help help he

Answers

Answer:

is the answer 2

Step-by-step explanation:

is that be happy

Answer: 2

Step-by-step explanation:

the answer is two

I’ll give brainliest to the first answer

Answers

Answer:

52

Step-by-step explanation:

4 1/2 x + 2x

Let x = 8

4 1/2 (8) + 2(8)

Change to an improper fraction

9/2(8) +2(8)

36+16

52

6) 113 = -7 - 8m
please help!

Answers

9514 1404 393

Answer:

  m = -15

Step-by-step explanation:

Given:

  113 = -7 -8m

Solution:

  120 = -8m . . . . . add 7 to both sides of the equation

  -15 = m . . . . . . . divide both sides by -8

At a movie rental machine the movies rent for $3.00 except on Tuesdays when they rent for $0.49 Appoximately what percent of the regular cost is saved by renting a movie on a Tueday

Answers

Answer:

16%

Step-by-step explanation:

To find what percent of the regular cost is saved by renting a movie on a Tuesday, we must do 0.49/3.00. This helps us find the decimal point to convert into a percentage. 0.49/3.00 is equal to 0.163333333333 . And 0.163333333333  converted into a percentage is approximately 16%.

Hope this helps and if it does, don't be afraid to rate my answer as well as maybe give it a "Thanks"? (Or even better a "Brainliest")

Verify that a÷(b+c)=(a÷b)+(a ÷c), a=10 , b=5 , 6=2​

Answers

Answer:

a÷(b+c)≠(a÷b)+(a ÷c)

Step-by-step explanation:

To verify that a÷(b+c)=(a÷b)+(a ÷c)

Using the values ;

a=10 , b=5 , 6=2​

plugging the values into a÷(b+c) should give the same result as (a÷b)+(a ÷c) ;

That is, right hand side = left hand side

a÷(b+c) = 10 ÷ (5+ 2)

a÷(b+c) = 10 / 7

Also;

(a÷b)+(a ÷c) = (10/5) + (10/2) = 2 + 5 = 7

Given the result, it can be seen that ;

RHS ≠ LHS

10/7 ≠ 7

As a television executive, you have been given 12 shows to choose from to run during your prime time slots each week. If you have 8 time slots, how many ways can you create the schedule for the week?

Answers

Answer:

You can create the schedule for the week in 19,958,400 ways.

Step-by-step explanation:

The order in which the shows are scheduled is important, which means that the permutations formula is used to solve this question.

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]

How many ways can you create the schedule for the week?

8 shows from a set of 12. So

[tex]P_{(12,8)} = \frac{12!}{(12-8)!} = \frac{12!}{4!} = 19958400[/tex]

You can create the schedule for the week in 19,958,400 ways.

Please help I dont understand

Answers

Answer:

0

Step-by-step explanation:

f(x) = cos 3x

Let x = pi /6

f( pi /6) = cos (3pi/6)

             cos (pi/2)

                   0

What is the measure of AngleCAB?

Answers

Answer:

52

Step-by-step explanation:

answer is in photo above

Answer:

52

Step-by-step explanation:

step-by-step explanation is a c and b is 52

y+4x=7 find the missing coordinates for a(-3,) and b (5,)

Answers

Answer:

-3 1

Step-by-step explanation:

A box of 20 chocolates, 4 are cream-filled. What is the probability of randomly selecting a cream-filled chocolate?
A. 4/18 ≈ 22%
B. 4/20 = 20%
C. 4/16 = 25%
D. 16/20 = 80%

Answers

Answer:

the correct choice is B

Step-by-step explanation:

4 goes into 20 5 times and 20 goes into 100 5 times as in 20x5=100 therefore it is 20%

The probability of randomly selecting a cream-filled chocolate is option (B) 4/20 = 20%.

Probability

Probability is the ratio of the fovourable outcome to the total outcomes.

Total number of chocolates in the box is 20 and total number of cream-filled chocolates are 4.

How to find the probability?

Favourable number of outcomes is cream-filled chocolate i.e., [tex]4[/tex]

Total number of outcomes are [tex]20[/tex]

Probability of randomly selecting a cream-filled chocolate is-

[tex]P=\dfrac{4}{20}\times 100\\ \text { }=20\%[/tex]

As a result, option B is the correct answer.

#SPJ2

A square-based tent covers an area of 64 square feet. What is the length of one side of the tent?

Answers

Answer:

8 feet

Step-by-step explanation:

A square's area can be expressed as l², with l representing one side of the tent. Therefore, as our area is 64, we can say that 64 = l². Taking the square root of both sides, we get that √64 = l, and l = 8 feet

A man bought an item for#5000 and sold it at a loss of 25%. how much did he sell it?​

Answers

Answer:

1250 dollars lost :(

and gained 3750 dollars

Step-by-step explanation:

one/ fourth of 5000 is 1250 just as 500000 is one fourth of 125000

Enter the ordered pair that is the solution to the system of equations graphed
below.
y = -3x + 7
y = -2x + 5

Answers

Answer:

(2,1)

Step-by-step explanation:

-3x + 7 = -2x + 5

x = 2

y = -6 + 7

y = 1

Answer:

(2,1)

Step-by-step explanation:

Remark

One thing you need to remind yourself of: The y value in both equations must be the same.

That means that the two right hand values are

-3x + 7 = - 2x + 5         Subtract 5 from both sides.

      -5              -5

-3x + 2 = - 2x               Add 3x to both sides

+3x          +3x

       2 = x

Now use one of the equations to solve for y

y = -2x + 5

y = -2(2) + 5

y = - 4 + 5

y = 1

We should check this by graphing it. Notice the two graphs do cross at (2,1) just as predicted.

You will need the same dataset used for problem 3 in homework 1 (the dataset obtained from the yahoo website with the company you selected). Use Excel to calculate the average and standard deviation of the close data column. Assume that these two numbers represent the population (parametric mean and population standard deviation, respectively, for the variable length (in cm) in a population printout of the data to your homework and write down the ticker code on it.
a. Calculate the probability of sampling at random a fish that is smaller in size than the value you would obtain by subtracting half the standard deviation from the average [x will be equal to: -(6/2)]
b. Calculate the probability of sampling at random a fish that is greater in size than the value you would obtain by adding half the standard deviation from the average [x = u + (0/2)]
c. Calculate the probability of sampling at random a fish that has a size between the two values [x = -(6/2), x=u +(6/2)) used in parts "a" and "b," respectively
d. Calculate the 25th and 75 percentiles of fish size for the population using the normal distribution table. e. Imagine that 5 individuals are sampled at random from this fish population. Calculate the probability that the average calculated will be less than the value: -(6/3)

Answers

Answer:

a) The probability of sampling at random a fish that is smaller in size than the value you would obtain by subtracting half the standard deviation from the average is 0.3085.

b) The probability of sampling at random a fish that is greater in size than the value you would obtain by adding half the standard deviation from the average is 0.3085.

c) The probability of sampling at random a fish that has a size between the two values is 0.383.

d) The 25th and 75 percentiles of fish size for the population using the normal distribution table is 5.69 and 5.87 respectively.

e) The probability that the average calculated will be less than the value is 0.3707.

Step-by-step explanation:

For the given data set mean [tex](\mu) = 5.75913[/tex]

Standard deviation [tex](\sigma) = 0.172229[/tex]

Variance [tex](\sigma2) = 0.0296[/tex]

Here we get is

a)

[tex]P(x < \mu - \sigma/2) = p(x < 5.673) \\\\ = 0.3085[/tex]

b)

[tex]P(x < \mu + \sigma/2) = p(x < 5.845) \\\\= 0.3085[/tex]

c)

[tex]P(\mu - \sigma/2 < x < \mu + \sigma/2) = p(5.673 < x < 5.845) \\\\= 0.383[/tex]

d)

25th percentile:-

[tex]= 25*[(n+1)/100]th term \\\\= 5.69[/tex]

75the percentile:-

[tex]= 75*[(n+1)/100]th term\\\\ = 5.87[/tex]

e)  

[tex]p(x < \mu - \sigma/3) = p(x < 5.7017) \\\\= 0.3707[/tex]

plz help math i ned to math
how much oak planks are made with one oak log in cwaft mine

Answers

Answer:

4

Step-by-step explanation:

Which number's estimate written as a single digit times a power of 10 will have a negative exponent?

Answers

105 i hope this helps if not then i’m sorry

Your roommate asks to borrow $500 and agrees to pay it in 45 days with interest rate of 4%. How much interest will you earn?

Answers

Answer:

$20

Step-by-step explanation:

500 x .04 = 20

Answer:
$20

Explanation:

$500 = 100%
? = 4%

500*4/100 =

$20

The top of the Boulder Dam has an angle of elevation of 1.2 radians from a point on the Colorado River. Measuring the angle of elevation to the top of the dam from a point 155 feet farther down river is 0.9 radi- ans; assume the two angle measurements are taken at the same elevation above sea level. How high is the dam?

Answers

Answer:

382.925 feets

Step-by-step explanation:

The solution diagram is attached below :

Converting radian measurement to degree :

radian angle * 180/π = degree angle

1.2 * 180/π = 68.755°

0.9 * 180/π = 51.566°

Height of dam is h:

Using trigonometry :

Tan θ = opposite / Adjacent

Tan 68.755° = h / x

h = x Tan 68.755° - - - (1)

Tan 51.566° = h / (155+x)

h = (155+x) tan 51.566° - - - (2)

Equate (1) and (2)

x Tan 68.755 = (155+x) Tan 51.566

x Tan 68.755 = 155tan 51.566 + x tan 51.566

x Tan 68.755 = 195.32311 + x Tan 51.566

x Tan 68.755 - x Tan 51.566 = 195.32311

x(tan 68.755 - tan 51.566) = 195.32311

x * 1.3120110 = 195.32311

1.3120110x = 195.32311

x = 195.32311 / 1.3120110

x = 148.87307

Using :

h = x Tan 68.755

h = 148.87307 * tan(68.755)

h = 382.92539

h = 382.925 feets

ВС
2. In ATVW if VW is three meters longer than TV, TW
is 19 meters shorter than the sum of VW and TV,
and the perimeter of ATVW is 62 meters, find the length of VW.
20.75 m
15.75 m
25.5 m
21.75 m
None of the above

Answers

9514 1404 393

Answer:

  21.75 m

Step-by-step explanation:

The given relations tell us that ...

  VW = TV +3

  TW = VW +TV -19

  VW +TW +TV = 62

__

Solving the first equation for TW gives ...

 TV = VW -3

Substituting that into the second equation gives ...

  TW = 2VW -22

And using these expressions in the third equation, we have ...

  VW +(2VW -22) +(VW -3) = 62

  4VW = 87 . . . . . . . . collect terms

  VW = 21.75 . . . . . . divide by 4

The length of VW is 21.75 meters.

help me find the answer

Answers

Answer:

? = 9.4 cm

Step-by-step explanation:

we do the full calculation, as the missing side length is simply the full perimeter minus all the other sides (as the perimeter is the sum of all side lengths).

? = 113.6 - 39.8 - 5.6 - 5.6 - 11.1 - 11.1 - 11.1 - 19.9 = 9.4 cm



En una escuela hay 200 estudiantes. Si la razón entre hombres estudiantes y mujeres
estudiantes es de 3:5, ¿cuántos estudiantes son hombres y cuántas son mujeres?

Answers

Answer:

75 hombres y 125 mujeres

Step-by-step explanation:

lo siento, yo no hablo español bien

Help help help help help

Answers

Sometimes never always always

A pyramid and a cone are both 12 centimeters tall and have the same volume. What statement must be true about the two solids?
A. The area of the cross-sections of the prisms are multiples of each other.
B. The cross-sections of the prisms are the same shape. C. The horizontal cross-sections of the prisms at the same height must have the same area.
D. The vertical cross-sections of the prisms at the same width must have the same area.

Answers

Answer:

B

Step-by-step explanation:

vì công thức diện tích cảu 2 lăng trụ giống nhau và hình dạng cũng vậy

If an average-sized man with a parachute jumps from an airplane, he will fall
12.5(0.2t − 1) + 21t feet
in t seconds. How long will it take him to fall 150 feet? (Round your answer to two decimal places.)

Answers

Answer:

It will take him 5.85 seconds.

Step-by-step explanation:

12.5 (0.2t - 1) + 21t = 150

Use Distributive Property:

2.5t - 12.5 + 21t = 150

Combine like terms:

23.5t - 12.5 = 150

Subtract 12.5 from both sides:

23.5t = 137.5

Divide both sides by 23.5 to isolate variable t:

5.851063.....

Round to two decimal places (hundredths place):

5.85

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M^3 is a derived unit why? Consider the case of the following annuities, and the need to compute either their expected rate of return or duration. Joshua inherited an annuity worth $6,830.77 from his uncle. The annuity will pay him eight equal payments of $1,100 at the end of each year. The annuity fund is offering a return __________Joshua's friend, Willie, has hired a financial planner for advice on retirement. Considering Willie's current expenses and expected future lifestyle changes, the financial planner has stated that once Willie crosses a threshold of $1,387,311 in savings, he will have enough money for retirement. Willie has nothing saved for his retirement yet, so he plans to start depositing $25,000 in a retirement fund at a fixed rate of 6.00% at the end of each year. It Will take ____________ for Willie to reach his retirement goal. ??? Whats the answer Seven times a number decreased by three-fourths of the same number is 25. What is the number? For each of the following scenarios, determine whether the decision maker is risk neutral, risk averse, or risk loving. a. A manager prefers a 20 percent chance of receiving $1,400 and an 80 percent chance of receiving $500 to receiving $680 for sure.b. A shareholder prefers receiving $920 with certainty to an 80 percent chance of receiving $1,100 and a 20 percent chance of receiving $200.c. A consumer is indifferent between receiving $1,360 for sure and a lottery that pays $2,000 with a 60 percent probability and $400 with a 40 percent probability. How high can water be theoretically lifted by a vacuum pump at sea level? A) less than 10.3 m B) 10.3 m C) more than 10.3 m Match the goal to the program or publication.1. to improve the energy efficiency of all commercial and industrial buildings by 20% by the year 2020 2. to reduce water use of appliances by 20% 3. to devise a set of guidelines for choosing green building materialsWaterSense programFederal Green Construction Guide for SpecifiersBetter Buildings Initiative Which of the following statements best describes the relationship between striking laborers and government leaders during the Great Upheaval?A. Governing leaders were fully supportive of the striking laborers.B. Governing leaders tended to support the bosses against the striking laborers.C. Governing leaders tended to stay out of any disputes since they didnt employ the striking laborers.D. Governing leaders were fully supportive of the strikes but could not condone the violent actions of the striking laborers. Select all the numbers that are rational. June 1: Byte of Accounting, Inc. Acquired $78,200 in cash from lauren and issued 3,400 shares of its common stock. Relationship between democracy and free market economy? Waiting period. Upstate University currently has a 6 comma 000 -car parking capacity for faculty, staff, and students. This year, the university issued 4 comma 356 parking passes. The number of parking passes issued has been growing at a rate of 6 % per year. How long will it be before the university will need to add parking spaces? Kofi paid rent of GH 1,800.00 each year. If the rent is 0.3 of his annual income, find his annual income 4On Monday, Lucy had$40.00. She spent $12.00on lunch on Tuesday. OnWednesday, Lucy's motherfound $6.90 in change andgave half of the money toLucy. How much moneydoes Lucy have now? Which elements of narrative poetry are reflected in "The Thing about Terry? Select 4 options.The Thing about Terry I should have known better Why didnt I think? I should have asked questions Not left it to fate I walk through the halls Wondering where she is nowMy friend Terry, with hurt feelings, Gone off on her own I gather the crew: Samantha, Kat, Ladan and Dan, Remind them what happened, Ask their help with a plan She just left, I tell them, Turned her wheelchair away We all watched through the window, No one knew what to say The restaurant was perfect Good food galore But there were stairs, and no ramp To get to the door I chased after Terry, Said, Im sorry, I swear! The worst was her answer And her hurt, angry glare Nobody thinks of me, Believe me, my friend, Unless its to pity What sad shape Im in Im tired of caring, of being stuck in this chair Im tired of feeling those awful, blank stares We have to do something I tell the crew, We cant let her feel We dont care when we do The thing about Terry Our friend in the chair Is shes so fun and funny Never shows her despair She has a big mouth Listens well with her ears But I think for a while now Shes been hiding her tears Whats she love most? I ask When all else is said What makes her smile, Gets her up out of bed? Nobody answers We dont seem to know And then I remember From a long time ago Stars, I whisper She showed me one night Knew every constellation Said they made her heart light Ive got it! I grin Ive got just the surprise I rush to tell them, Feeling happy and wise By nightfall were ready Ive talked to Terrys mom Terry wont be home Until our whole deed is done We go in the back door, Then up to her room Paint cans, brushes, A template or two We work four long hours Nervous stomachs a-churn Then sneak into the closet To await her return The door opens at last, She flips on the light Expecting no doubt The usual sight But the lamps have been doused A soft silver shine falls Bright stars fill her eyes From her ceiling and walls Surprise! We shout Leaping into view We wanted to say thanks For all that you do Right over her be The bid dipper gleamsI made it myself To help bring sweet dreams Terrys eyes sparkle As we run to her side And I remember her words The day shed gone off to hide Nobody thinks of me, Believe me, my friend, Unless its to pity What sad shape Im in She may be tired, I think, of being stuck in that chair But tonight our friend Terry is walking on air.A - rhymeB - abstract languageC - rhythmD - free verseE - settingF - stanzas which one i am confused