Mathematics College

The authors of a certain paper describe a study to evaluate the effect of mobile phone use by taxi drivers in Greece. Fifty taxi drivers drove in a driving simulator where they were following a lead car. The drivers were asked to carry on a conversation on a mobile phone while driving, and the following distance (the distance between the taxi and the lead car) was recorded. The sample mean following distance was 3.80 meters and the sample standard deviation was 1.19 meters.
Construct a 95% confidence interval (in meters) for μ, the population mean following distance while talking on a mobile phone for the population of taxi drivers. (Round your answers to three decimal places.)

Answers

Answer 1

Answer:

CI = (3.462, 4.138)

Step-by-step explanation:

We are given;

Sample mean; x¯ = 3.8

Sample standard deviation; s = 1.19

Sample size; n = 50

DF = n - 1 = 50 - 1 = 49

Confidence level; CL = 95%

Significance level = (1 - 0.95)/2 = 0.025

Now,from the table attached using DF = 49, significance level = 0.025, one tail and by interpolation, we have; t = 2.01

Now, formula for confidence interval is;

CI = x¯ ± t(s/√n)

CI = 3.8 ± 2.01(1.19/√50)

CI = 3.8 ± 0.338

CI = (3.8 - 0.338, 3.8 + 0.338)

CI = (3.462, 4.138)

The Authors Of A Certain Paper Describe A Study To Evaluate The Effect Of Mobile Phone Use By Taxi Drivers

Related Questions

Someone please help me.

Answers

Answer:

Step-by-step explanation:

Prime factors: 2, 3, 3

2 (-4x + 2)
What does this equal

Answers

Answer:

-8x+4

Step-by-step explanation:

Answer:

-8x+4

Step-by-step explanation:

whats 8.546 rounded to the nearest one

Answers

Answer:

Step-by-step explanation:

ok so first if the place you're rounding to is 5 or more you round up and if the place is 4 or less then it stays the same

8.5

5 is 5 or more so you round up

to 9

A grocery store sells an 18 ounce container of peanut butter for $3.28. What is the cost per ounce (unit price)?

Answers

Answer:

18 cents

Step-by-step explanation:

3.28/18 = .18

The graph shows f (x) and its transformation g(x) . Which equation correctly models g(x) ?
A) g(x) = 4x-2 + 4
B) g(x) = 4x+2 - 4
C) g(x) = 4x+4 + 2
D) g(x) = 4x-4 + 2

Answers

C because of the climax an it rises vertically to the y axis

what is the answer? 5
points who says the right answer.

thank you.

Answers

Answer:

1/4 of the jar is left to fill.

Which problem can be solved using this equation .15m + 35=.25. + 20

Answers

I think the number 1 because it can be mutilplief by any and give u the same answer

What is the solution set for the inequality 3(5- x)<5x-17

Answers

Answer:

The answer is : x>4

Step-by-step explanation:

3(5-x)<5x-17

15-3x<5x-17

-3x-5x<-17-15

-(3x+5x)<-(17+15)

3x+5x>17+15

8x>32

x>[tex]\frac{32}{8}[/tex]

x>4

For the function, f(x)=1/4x-2, find x if f(x)=-1

Answers

f(x) = 1/4x-3

When f(x) = -1,

= 1/4(-1)-3

= -13/4

Answer

-2.25

Step-by-step explanation:

(1/-4) -2= (1/-4)- 2^4= -9/4= -2.25

An electrician completes 1/6 of a job in 2/3 hour. How long does it take the electrician to complete the job?

Answers

Answer:1/4

Step-by-step explanation:

If 3t^2 and -4t are multiplied, the product
Is

Answers

Answer:

-36

bc my brain say write dis

slove for x 3x-24=81

Answers

Answer:

Step-by-step explanation:

Answer:

x = 35

Step-by-step explanation:

[tex]3x-24=81[/tex]

Collect like terms and simplify

[tex]3x=81+24\\\\3x = 105[/tex]

Divide both sides of the equation by 3

[tex]\frac{3x}{3} = \frac{105}{3} \\\\Simplify\\\\x = 35[/tex]

Fabio is driving west away from Albany and towards Buffalo along Interstate 90 at a constant rate of speed
of 62 miles per hour. After driving for 1.5 hours, Fabio is 221 miles from Albany.

Answers

Answer:

a) ( D - 128 ) = m ( 1,5 - 0)

b) D = 62*h + 128

Step-by-step explanation:

Fabio drives at a constant speed of 62 miles per hour therefore:

62 * 1,5 = 93 miles

But he is 221 miles away from Albany, then he started

221 - 93 = 128 miles from Albany

In a coordinates system D (distance in the y-axis ), and h ( hours in x-axis), we have two points

h₁ = 0 (h) D (y intercept) = 128 miles and h = 1,5 (h) D = 221 miles

P₁ ( 0 , 128 ) P₂ ( 1,5 , 221 )

Then the equation for straight-line passing through two points is:

m = ( D - D₁ ) / ( h - h₁ )

( D - D₁ ) = m ( h - h₁ )

a) ( D - 128 ) = m ( 1,5 - 0)

And

b) m = 93/ 1,5

m = 62

And

b) D = mh + b

D = mh + D₁

D = 62*h + 128

The equation is:

[tex]D - 221 = 62(h - 1.5)[/tex]

b) Initially, he was 128 miles away from Albany.

Item a:

Fabio is traveling from Albany to Buffalo, and his distance D from Albany after h hours is modeled by a linear function in the following format:

[tex]D - D_1 = m(h - h_1)[/tex]

We have that:

Velocity of 62 miles per hour, thus the slope is [tex]m = 62[/tex].After 1.5 hours, he is 221 miles away from Albany, thus the point is [tex]h_1 = 1.5, D_1 = 221[/tex].

The equation is:

[tex]D - D_1 = m(h - h_1)[/tex]

[tex]D - 221 = 62(h - 1.5)[/tex]

Item b:

The initial distance is D when h = 0, so:

[tex]D - 221 = 62(0 - 1.5)[/tex]

[tex]D = -1.5(62) + 221[/tex]

[tex]D = 128[/tex]

Initially, he was 128 miles away from Albany.

A similar problem is given at https://brainly.com/question/16302622

The triangles below are similar. Find DE. If necessary, round 2 decimal places.

Answers

We know that the 2 triangles are proportional and are similar so that means there must be a scale factor between the sides of the triangles. To find the D, we need to use the scale factor and multiply it by CD to find DE. The scale factor can be found by dividing 2 similar sides so: EF divided by DG is 5/1.25 which is 4. We can then multiply the scale factor which is 4 by CD so: 3.25 * 4 is 13. DE = 13

Answer:

9.75

We know that the 2 triangles are proportional and are similar so that means there must be a scale factor between the sides of the triangles.

-8x-10 y= 24
6.0 + 5y = 2

Answers

(-16)-10y=24

-10y=24+16

this steps has been cropped in the pic

so try to understand

hope you like the answer

please mark as brainlist

Johnathan bought a new computer for $1,716 using the electronics store’s finance plan. He will pay $143 a month for 12 months. What equation can he use to find out how much money he still owes after each month of the plan?

Answers

Answer:

1,1716 + 143(12)

Step-by-step explanation:

i believe that is correct hope I helped you!

Why is it so hard to please these teachers:(

Answers

Who knows bruh, who knows

Answer:

I don’t even know man

Step-by-step explanation:

5/6 divided by _____=5/36

Answers

6 divided by 1.

Step-by-step explanation:

5/6 divided by 6/1 will give 5/6* 1/6 = 5/36

Which of the following is a rational number?
A
136
B.
-V12
lo
D
TT

Answers

TT is your rational number because either way it’s a TT or A

Simultaneous liner equations
X+y=20
22x+12y=300

The answer is x=6 and y=14

I just need the steps

Answers

Answer:

You already know the answers

Step-by-step explanation:

I did the work to show you how i got there. It took a little time to get there, if you don't understand how i got there, then don't be afraid to ask me a question

Mountain bike is priced at 413 if he sells tax is 6.5% what is a constant purchase a mountain bike round to the nearest cent if necessary

Answers

Answer:

Mountain bike is priced at 413 if he sells tax is 6.5% what is a constant purchase a mountain bike round to the nearest cent if necessary

Step-by-step explanation:

it is 439.85

8
Kevin cycles past his mum who is sitting on a park bench. What is the relative speed
if Kevin is cycling at 20 km/h?
Include a unit in your answer.

Answers

Answer:

Kevin cycles past his mum who is sitting on a park bench. What is the relative speed if Kevin is cycling at 20 km/h?

Step-by-step explanation:

20 km/h

a line passes through the point (0,-4) and has a slope of 3/2. what is equation of the line?

Answers

Answer:

[tex]y=\frac{3}{2}x-4[/tex]

Step-by-step explanation:

Use the equation of a line: y=mx+b.

First, plug in all of the values that you know. In this case, we are given x, y, and m (the slope).

[tex]y=mx+b\\-4=(\frac{3}{2})(0)+b\\-4=b[/tex]

Now that we have the b value, we can create the equation:

[tex]y=\frac{3}{2}x-4[/tex]

Maggie's brother is 4 years younger than four times her age. The sum of their ages is 31.
How old is Maggie?

Answers

just multiply ten times four and you’ll get ur answer.

First, determine the terms.
For Maggie, let’s use the variable m.
For her brother, it is (4m-4).
Their ages together is 31.

Let’s combine to make an equation:
(4m-4)+m=31
First, combine like terms on the left
5m-4=31
To begin isolating m, add 4 to both sides
5m-4=31
+4 +4
—————-
5m=35
To completely isolate m, divide both sides by 5.
5m=35
—— —-
5 5
From here, you get
m=7

You can check by putting this into the original equation.
(4(7)-4)+7=31
(28-4)+7=31
24+7=31
31=31

Therefore, Maggie is 7 years old.

What's the Constant of Proportianlity/Unit Rate?

Answers

Answer:

1/3 cup of juice per cup of berries

Step-by-step explanation:

The table shows that if we go from 0 to 4 cups (a "run" of 4 cups), the juice output is 1 1/3 (or 4/3) (a "rise" of 4/3 cups), and so the desired constant of proportionality is the unit rate

(4/3) cups

------------------------ = 1/3 cup of juice per cup of berries

4 cups berries

Total volume of tree?

Answers

Answer:

9,000 cubic feet (250 m3) of wood in the branches.

Step-by-step explanation:

A bamboo tree grew 3 in. Per day. Write and solve an equation to find how many days d it took the tree to grow 144 in. What is the equation

Answers

Answer:

144 divided by 3 = d (number of days)

Step-by-step explanation:

Answer:

Equation: 3d=144

Solution: 48 days

Step-by-step explanation:

Since it grown 3 in. per day and it grew 144 in.

U have to divide the 2 numbers

3d=144

d=144/3

d=48 days

(d=how many days)

will give brainlist plz help its for my 9 week exam

a. 228
b. 229
c. 172
d. 171

Answers

Answer:

I think its 229

if you take how many yellow marbles he got out of 7 it would be 3/7 and then I divided 400 by 7 and got 57. something so I multiplied 3 times 57 and got 171. So if you take 400-171 you get 229

Is everything correct and how do you do the last part?

Answers

Answer:

5 terms

Step-by-step explanation:

Yes, that's correct. For the last part, set b₊₁ less than or equal to the error.

1 / (5ⁿ⁺¹ (n+1)!) ≤ 0.000005

5ⁿ⁺¹ (n+1)! ≥ 200,000

Use trial and error to find the value of n (notice that n starts at 0).

n = 0, 5ⁿ⁺¹ (n+1)! = 5

n = 1, 5ⁿ⁺¹ (n+1)! = 50

n = 2, 5ⁿ⁺¹ (n+1)! = 750

n = 3, 5ⁿ⁺¹ (n+1)! = 15,000

n = 4, 5ⁿ⁺¹ (n+1)! = 375,000

n = 4 is the fifth term. So it takes 5 terms.

Write a formula that will compute the final grade for the course, using G to represent the final grade, H to represent the homework average, Q to represent the quiz average, P to represent the project grade, T to represent the test average, and F to represent the final exam grade. Note: Keep in mind how you must write the percentages that show the weighting of each category when doing computations!

Answers

Answer:

To calculate final grade we use the formula:

Final grade = H( the weight of h) + Q( the weight of q) + P (the weight of project) +T (the weight of test) + F(the weight of final exams).

This formula help us to calculate the grade we need to get.

Step-by-step explanation:

Solution:

Suppose grade breakdown for certain college course is as follow:

Homework = 15%

Quizzes = 20%

Project = 10%

Test = 40%

Final exam= 15%

Let G represent the final grade

H represents homework average,

Q represents quizzes and P represent project, T represent test average and F represent final exam.

To calculate final grade we use the formula:

Final grade = H( the weight of h) + Q( the weight of q) + P (the weight of project) +T (the weight of test) + F(the weight of final exams).

This formula help us to calculate the grade we need to get.

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