Suppose that the middle 68% of speeding ticket fines on a highway fall between 93.18 and 118. Give an approximate estimate of the standard deviation of the speeding ticket fines. Assume the fine amount has a normal distribution

Answers

Answer 1

Answer:

The approximate estimate of the standard deviation of the speeding ticket fines is of 12.41.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.

Approximately 95% of the measures are within 2 standard deviations of the mean.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

Middle 68% of speeding ticket fines on a highway fall between 93.18 and 118.

This means that 93.18 is one standard deviation below the mean and 118 is one standard deviation above the mean. That is, the difference between 118 and 93.18 is worth two standard deviations. So

[tex]2s = 118 - 93.18[/tex]

[tex]s = \frac{(118 - 93.18)}{2}[/tex]

[tex]s = 12.41[/tex]

The approximate estimate of the standard deviation of the speeding ticket fines is of 12.41.


Related Questions

1.
What is the equation of a circle with center (-5, 8) and radius 9?

Answers

Answer:

Your equation is:

(x−5)2+(y+8)2=92

Expanding from general form you can write this as:

x2−10x+y2+14y+−8=0

Step-by-step explanation:

i think its correct ig don't know sry but i tried hope it helps you ✨

Answer:

[tex](x+5)^2+(y-8)^2=81[/tex]

Step-by-step explanation:

General equation of a circle is [tex](x-a)^2+(y-b)^2=r^2[/tex].

Center coordinates = (-5, 8)

a = -5           b = 8          r = 9

[tex]\\(x+5)^2+(y-8)^2=9^2[/tex]

[tex](x+5)^2+(y-8)^2=81[/tex]

Please do mark as brainliest. Hope this helps! :)

What is the approximate volume of a can that is 5 inches tall and has a 2.5 inch diameter?
F. 19.6 cu in.
G. 98.1 cu in.
H. 24.5 cu in.
J. 39.3 cu in.

Answers

The volume of a can, or cylinder, is V = pi x r^2 x h. r = 1/2 diameter, so r = 1.25. H is the height, so h = 5 in. Thus, V = 3.14 x (1.25)^2 x 5 = 24.5 cubic inches


2. Celesta used to spend 90 minutes a day on the phone. Now she spends
60 minutes a day. What is the PERCENT DECREASE? *

Answers

Answer:

33%

Step-by-step explanation:

sorry my bad i did percentage increase.

Which choices describe a Subscript n Baseline = 4 (0.9) Superscript n? Check all that apply.

S1 = 4
S2 = 6.84
S3 = 10.156

The sequence diverges.

Answers

Answer:

b and d

Step-by-step explanation:

edge 2021

If the first term (a) is 4 and the common ratio (r) is 0.9, then the sequence diverges. Then the correct option is D.

What is a geometric sequence?

Suppose the initial term of a geometric sequence is a

and the term by which we multiply the previous term to get the next term is r

Then the sequence would look like

a, ar, ar², ar³, ...

The sequence is given below.

[tex]\rm a_n = 4 (0.9)^n[/tex]

Then the sum of the sequence will be given as

The first term (a) is 4. And the common ratio (r) is 0.9.

Then we get

[tex]\rm S_n = \dfrac{a (1 - r ^n)}{ (1 - r)}\\\\\rm S_n = \dfrac{4 (1 - 0.9 ^n)}{ (1 - 0.9)}\\\\\rm S_n = \dfrac{4 (1 - 0.9 ^n)}{0.1}\\\\\rm S_n = 40 (1 - 0.9^n)[/tex]

For n = 1, we have

S₁ = 40 (1 - 0.9)

S₁ = 40 x 0.1

S₁ = 4

For n = 2, we have

S₂ = 40 (1 - 0.9²)

S₂ = 40 x 0.19

S₂ = 7.6

For n = 3, we have

S₃ = 40 (1 - 0.9³)

S₃ = 40 x 0.271

S₃ = 10.84

If the common ratio is less than one then the sequence will diverge.

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In how many ways can a committee of 8 sit in a row if the chairman occupies the middle seat?? ​

Answers

They can all sit beside the chairman

Elena and Diego each wrote an equation to represent the diagram. Elena wrote 35+w+41=180. Diego wrote 35+w=180.which equation do you agree with? You can assume that angles that look like right angles and indeed right angles

Answers

Answer:

Step-by-step explanation:

i need to see the diagram, to help you

Find the number of sides of a regular polygon if the sum of the interior angles of the
polygon is 7020

Answers

Answer:

n = 6

Step-by-step explanation:

Given the following data;

Sum of interior angles, S = 720°

Mathematically, the sum of the interior angles in a regular polygon is given by the formula;

S = 180(n - 2)

Where;

n is the number of sides.

S is the sim of the interior angles

720 = 180(n - 2)

720 = 180n - 360

180n = 720 + 360

180n = 1080

n = 6

In the figure to the right, what is the measure of angle DAC ?

I’m not going to show answer Options because I don’t want anyone to put something random

Don’t put links cs I’m not going to press it <3

Answers

Answer:

47 degrees

Step-by-step explanation:

i am super smart

divide then write in simplest form 5 divided by 5/6, 3 divided by 5/6, 10 dived 5/6 4 divided 5/9, 6 divided by 2/3

Answers

Answer:

Step-by-step explanation:

y= -1/4x

Pls help 10 ptsss
NO LINKS

Answers

Answer:

0,15/ 5,20/ 10,25/ 15,30/ 25,35

Step-by-step explanation:

the additional hours is x and total hours is y.

How much INTEREST would you earn investing $5000 that earns 7% simple annual interest for 3 years?

Answers

Answer:

$1,125.26

Step-by-step explanation:

Start of Year 1 5000.00

Start of Year 2 5350.00

Start of Year 3 5724.50

Start of Year 4 6125.26

How do I answer this? I'm so confused

Answers

Answer:

Draw a graph of f(x) and q(x) also find x-intercept and y

Number 26 (PlSss Help I really need help on this) I’ll give 15 points!!!!!!

Answers

[tex]\mathcal\pink{The \: answer \: is }[/tex]

only one window has height that is a whole number of centimeters

[tex]\mathcal{HOPE \: IT \: HELPS}[/tex]

[tex]\huge\pink{mark \: as \: brainliest}[/tex]

Use the distributive property to match equivalent expressions.
74-4 - x)
28 - 7x
-28 - 7x
-7(4-x)
28 + 7x
7(4 + x)
-28 + 7x
-7(4+x)

Answers

Answer:

7(-4 - x) = -28 - 7x

-7(4 - x) = -28 + 7x

7(4 + x) = 28 + 7x

-7(-4 + x) = 28 - 7x

Step-by-step explanation:

To apply the distributive property, use the term outside the bracket to multiply each of the term you have inside the bracket.

Thus:

✔️7(-4 - x) = 7(-4) +7(-x)

= -28 - 7x

✔️-7(4 - x) = -7(4) -7(-x)

= -28 + 7x

✔️7(4 + x) = 7(4) + 7(+x)

28 + 7x

✔️-7(-4 + x) = -7(-4) -7(+x)

= 28 - 7x

What is the rate of change of the function y
- 2 x – 52

Answers

Answer:

The rate of change is -2

Step-by-step explanation:

Given

[tex]y = -2x - 52[/tex]

Required

The rate of change

The slope intercept of a fuction is:

[tex]y =mx + b[/tex]

Where

[tex]m \to[/tex] rate of change

So, by comparison; [tex]y = -2x - 52[/tex] and [tex]y =mx + b[/tex]

[tex]m = -2[/tex]

ILL GIVE BRAINLEST, please show work :)

Answers

4.2*8.5
35.7 would be your answer

Answer:

the answer would be 35.7 the reason why is because your multiplying the width by its heigh  

Step-by-step explanation:

4.2x8.5=35.7

PLZ ANSWER NEED IT ASAP

Answers

Answer:

80 square units

Step-by-step explanation:

beep

Find the value that makes the proportion true

5/6= ?/180

Answers

Answer:

D, or 150

Step-by-step explanation:

We can see that we have to multiply 6 by 30 to get 180. So, if we multiply the denominator by this and we want an equal fraction, we can multiply 5 by 30 to get [tex]5\cdot30=150[/tex].

Answer/Step-by-step explanation:

I think its "D. 150"!

-Hope this helped, Comment if you have any other questions!

select the three fractions that are less than 1/2

Answers

Answer:

A,D,F are less then 1/2

Step-by-step explanation:

Answer:

1/8

1/16

1/6

Step-by-step explanation:

1. 1/2 = 0.5              2. 1/2 = 0.5

  1/6 = 0.167               1/8 = 0.125

Write the trigonometric ratio for cos X as a fraction and as a decimal rounded to the nearest hundredth

Answers

Answer: The correct choice is letter C.

Step-by-step explanation:

Cosine = adjacent/hypotenuse

In this triangle, you are looking for angle degree of cos X.

When finding an angle degree, you must use the inverse of whatever trig ratio you are using. In this case, you would use [tex]cos^{-1}[/tex].

The adjacent side from x is 12 and the hypotenuse is 15.

So you form your trig ratio which is your answer.

[tex]cos^{-1}[/tex] [tex]\frac{12}{15}[/tex] = 0.80

Select the FALSE statement regarding the relationship between sampling error and sample size. a.) As a sample size decreases, the standard deviation increases. b.) An estimate becomes more accurate as you increase the sample size. c.) You can resolve poor data collection by increasing the sample size. d.) Increasing the sample size will decrease the sampling error.

Answers

Answer:

Option C

Step-by-step explanation:

The standard deviation of any sample is inversely proportional to the size of the sample. Thus, as the sample size increases, the standard deviation reduces or vice versa. Thus, option A is in correct

As the sample size increases, the confidence in estimate also increases Hence, option B is also incorrect

Option D is true to its words , hence it is also a wrong choice for this question

Hence, option C is correct

Answer:

You can resolve poor data collection by increasing the sample size

Step-by-step explanation:

What is 103% of 127?

Answers

Answer:

130.81

Step-by-step explanation:

127 ⋅ ( 103/ 100 ) =130.81

Beth has a box containing music CDs. Each CD contains songs from only one of these three genres: pop (P), hip-hop (H), and rock (R). She picks one CD from the box, replaces it, and then picks another CD. The sample space for this event is listed.

P-P H-P R-P
P-H H-H R-H
P-R R-R


What is the missing term for this compound event? What is the sample size?

A.
The missing term is H-P, and the sample size is 9.
B.
The missing term is H-R, and the sample size is 9.
C.
The missing term is H-P, and the sample size is 3.
D.
The missing term is H-R, and the sample size is 3.

Answers

Answer:

B). The missing term is H-R, and the sample size is 9.

Step-by-step explanation:

Compound event is characterized as the likelihood of occurring two autonomous events at least one or more than one probable outcome.

As per the details provided, 'the term that is omitted in the given event of the compound would be (H-R) and the size of the sample would be 9(' including this missing one. The eight combination possibilities of the CDs have already been provided and thus, the last one would be 'H-R'(hip-hop and rock music CDs). This is why the total number of possibilities turns 9. Thus, option B is the correct answer.

Answer:  the answer is B :)

Step-by-step explanation:

Mr. Matthews gives each of his 32 students 15 minutes to
present a book report to the class. How many minutes
will it take for all of his students to present their reports?

Answers

Answer:

480 minutes or 8 hours

Step-by-step explanation:

1 student = 15 minutes

32 students = x

x= 32 students *15 minutes

x=  480 minutes

480 minutes it takes for all of his students to present their reports.

What is Unitary Method?

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

Total Students= 32

Each student can take = 15 minutes.

So, time taken by 32 students

= 32 x 15

= 480 minutes.

Hence, students take 480 minutes to complete the report.

Learn more about Unitary Method here:

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please help me i really need this

Answers

Answer:

1. pi or π

2. 7,234.6

3. 26.4

4. 94.2

hope it helped :)

Step-by-step explanation:

Find the quotient of 3/5 and 2/3

Answers

Answer:

The quotient of 3/5 and 2/3 is 9/10 in fraction and 0.9 in decimal.

Answer:

9/10

Step-by-step explanation:

(3/5)/(2/3)=(3/5)(3/2)=9/10

What is the mean?
-4 -3 0 -4 -3 0

Answers

Answer:

−4−(3)(0)−4−(3)(0)

=−8

Answer:

-2 and 1/3

Step-by-step explanation:

-4+-3+0+-4+-3+0 = -14

6 numbers

-14/6 = -2 1/3

The 8 red markers in a package account for 4% of all markers in the package. How many markers are in the package?

Answers

Answer:

192 markers

Step-by-step explanation:

if 8 = 4% then 2=1%

so we can assume there are 200markers in the package.

8-200= 192 markers

What is a hand drawn picture or design of a 3D object

Answers

Answer:

hello

Step-by-step explanation:

i think it is modelling

hope it helps

have a nice day

I am pretty sure it's modeling!

You have a collection of 30 coins, all of which are dimes and quarters. The total of your collection is $5.10 how many of each kind of coin do you have

Answers

14 quarters and 16 dimes
I think ?





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