In a study investigating the effect of car speed on accident severity, the vehicle speed at impact was recorded for 5,000 fatal accidents. For these accidents, the mean speed was 46 mph and the standard deviation was 13 mph. A histogram revealed that the vehicle speed distribution was mound shaped and approximately symmetric. (Use the Empirical Rule.) (a) Approximately what percentage of vehicle speeds were between 33 and 59 mph

Answers

Answer 1

Answer:

68%

Step-by-step explanation:

Given that:

Mean speed (m) = 46

Standard deviation (s) = 13

Approximately what percentage of vehicle speeds were between 33 and 59 mph

Obtain the Zscore for P(Z < x) for both values and subtract :

For x = 33

Zscore :

Z = (x - m) / s

Z = (33 - 46) / 13 = - 1

p(Z < - 1) = 0.15866 ( Z probability calculator)

For x = 59

Zscore :

Z = (x - m) / s

Z = (59 - 46) / 13 = 1

p(Z < 1) = 0.84134 ( Z probability calculator)

Hence, 0.84134 - 0.15866 = 0.68268 = 0.68

0.68 * 100% = 68%


Related Questions

Um how do you solve for x?

Answers

Answer:

If you have an equation like "x - 5 = 20" rewrite the equation as x = 20 + 5 and solve for x, which 20 + 5 is 25.

15 PTS!!!!!!!!!!!!

What is the product of -2/7 and -3/7?

Answers

Answer:

6/49

Step-by-step explanation:

-2 times -3 is 6, and 7 times 7 is 49. therefore, the answer is 6/49.

Which statements are true about ABCD? Select all that apply.
A ZABC=CDA
B.BD I AC
C.BE=ED
D. m2ABC + m2BCD = 180°
E. AB=CD

Answers

Your answer is....E!

Statements D and E are true about ABCD.m∠ABC + m∠BCD = 180° and AB=CD.

What is parallelogram?

In two-dimensional geometry, it is a plane shape having four sides, in which two pairs of sides are parallel to each other and equal in length. The sum of all angles in a parallelogram is 360°.

The two opposing sides are equal and parallel. The opposing angles line up evenly. The following or neighboring angles are extra. Every angle will be at a right angle if one of the other angles is even.

A parallelogram has equal opposite angles (or congruent) Angles that are next to one another are said to be consecutive (that means they add up to 180 degrees)

The true identities are,

AB=CD

m∠ABC + m∠BCD = 180°

Thus, statements D and E are true about ABCD.m∠ABC + m∠BCD = 180° and AB=CD.

Learn more about the parallelogram here:

brainly.com/question/1563728

#SPJ5

Write an equation of the line that passes through (1, -8) and is parallel to the line y = -3x - 7

Answers

Answer:

the desired new equation is y = -3x - 5

Step-by-step explanation:

The desired equation of this new (parallel) line has exactly the same form as the given line y = -3x - 7.  Only the y-intercept will be different.  

Starting with y = -3x - 7, replace x with the x-coordinate of the given point (1, -8) and y with the y-coordinate.  We get:

-8 = -3(1) + C, where C is the new y-intercept and is to be determined.

Then C = -5, and the desired new equation is y = -3x - 5.

Witch equation is shown on the graph below

A. Y=2x

B. Y=2x+1

C. Y=2+x

D. Y=2x-1

Answers

y=2x + 1 hopefully this helped :)

What is the answer to the following?
1. 8/9 divide by 2/3

2. 4 divided by 3/4

3. 2 1/2 divided by 3/4

4. 4/9 divided by 5 1/3

5. 7/8 divided by 14

Answers

i would go with either a or b


PLZ ANSWER IF U KNOW THE ANSWER




Sadie is making a recipe that needs 3 1/4 cups of sugar. each scoop Sandy adds contains 1/8 cup of sugar. how many scoops does she needs to add for the entire recipe?​

Answers

Answer:

D. 26

Step-by-step explanation:

3 1/4 as eighths is 26/8

Answer:

26

Step-by-step explanation:

7,-6, 6 ___ ____>____ 1, ¼, ½ ____>____>____ -50,10,0 ____ _____>_____ -82,-93,-104 ____ _____>______ 11 ¼,11, 11 ½ ____ _____>______

Answers

Answer:0-0

Step-by-step explanation:

11 fewer than a number b

Answers

Answer:

b-11

Step-by-step explanation:

is that what the question is asking for?

1) The probability that an individual is left-handed is 12%. In a randomly selected class of 30 students, what is the probability of finding exactly 4 left-handed students?
2) Sixty-five percent of men consider themselves knowledgeable football fans. If 10 men are randomly selected, find the probability that exactly six of them will consider themselves knowledgeable fans.

Answers

Answer:

0.2047

0.2377

Step-by-step explanation:

1.

What we have here is a binomial distribution

Probability p = 0.12

N = number of students in the class = 30

Probability of finding 4 left handers

P(x = 4) = 30C4 x (0.12)⁴ x (0.88)²⁶

= 27405 x 0.00020736 x 0.03602047835

= 0.2047

2.

This is also a binomial distribution

N = 10 p = 0.65

P(of 6 knowledgeable fans)

= 10C6 x (0.65)⁶ x (0.35)⁴

= 210 x 0.0754189 x 0.01500625

= 0.2377

Elena has $80 in a savings account. The interest rate is 5% per year and 1 point
is not compounded. How much Interest will she have in 2 years?

Answers

Don’t know just need points

The two triangles are similar.
Solve for h.
Give an exact answer.

Answers

Answer:

[tex]\frac{1}{1.6} = \frac{h}{7.2}[/tex]  ( since they're similar, they are proportional to each other)

1 (7.2) = h (1.6) (set the two up as a proportion and then cross multiply)

7.2 = 1.6h (divide both sides by 1.6)

h = 4.5 m (this is the answer)

Step-by-step explanation:

write -12 in a and b form

Answers

Answer:

whats ur question i dont understand

Step-by-step explanation:

idu

Answer:

thanks fOr the points

Step-by-step explanation:

A math class surveyed students about their musical preferences an recorded the results in the table. Use tha data wtite a ratio for each comparison in three differents ways.

A) Students who preferer classical to students who prefer echno.


B) Students who prefer hip-hop to total number of students survyed



Table



Music Number .........Students


Rock .................................10


Classical........................... 4


Techno ............................12


Hip-Hop.......................... 15


Contry.............................. 8


Alternative...................... 4


Total Students.............53

Help Please

Answers

a) 1/3 2/6 4/12

b) 15/53 30/106 60/212

What is the equation of the line –3x–2y=30 in slope-intercept form?



Enter your answer in the box.

Answers

Answer:

y = - 1.5x - 15

Step-by-step explanation:

Step 1:

- 3x - 2y = 30         Equation

Step 2:

- 2y = 3x + 30        Add 3x on both sides

Step 3:

y = - 1.5x - 15      Divide 2 on both sides

Answer:

y = - 1.5x - 15

Hope This Helps :)

Answer:   y = - 1.5x - 15

Step-by-step explanation:

First, we will add 3x to both sides of the equation.

-2y = 3x + 30

Next, we will divide 2 on both sides of the equation.

y = -1.5x - 15

Answer -  y = -1.5x - 15

the ratio of the measures of the angles of a triangle is 1:2:3 find the measures of each angle​

Answers

Given:

The ratio of the measures of the angles of a triangle is 1:2:3.

To find:

The measures of each angle​.

Solution:

Let the measure of angles be x, 2x and 3x respectively.

We know that, sum of all the interior angles of a triangle is 180 degrees by the angle sum property.

Using angle sum property, we get

[tex]x+2x+3x=180^\circ[/tex]

[tex]6x=180^\circ[/tex]

Divide both sides by 6.

[tex]x=\dfrac{180^\circ}{6}[/tex]

[tex]x=30^\circ[/tex]

Now,

First angle: [tex]30^\circ[/tex]

Second angle: [tex]2(30^\circ)=60^\circ[/tex]

Third angle: [tex]3(30^\circ)=90^\circ[/tex]

Therefore, the measure of all the angles are 30°, 60° and 90° respectively.

Express 12^1/4 in simplest radical form

Answers

Answer:

I think its √12 = 3.464

Step-by-step explanation:

sorry if I'm wrong I hope y'all do great though

What is the distance between the points M (-21,-7) and N (-5,-7)?
A.28 units
B.16 units
C.26 units
D.14 Units​

Answers

It’s B, 16 units because that is the difference between -21 and -5

which could be the name of a plane?

Answers

Answer: where are the options?

Step-by-step explanation:

Answer:

There is not enough information presented to give an answer

Step-by-step explanation:

If you add more information, I will try and answer it for you

Last week, Charlie put 15 gallons of gas in his car and paid $50.25. Yesterday, Charlie put 12 gallons of gas in his car and paid $40.20. If the price of gas remains the same, how much will it cost Charlie to put gas in his car next week? Select ALL that apply.
A
Charlie can put 8 gallons of gas in his car for $26.80.

B
Charlie can put 11 gallons of gas in his car for $38.65.

C
Charlie can put 14 gallons of gas in his car for $47.90.

D
Charlie can put 17 gallons of gas in his car for $56.95.

Answers

Answer:

A and D

Step-by-step explanation:

So I divided $50.25 by 15 and I got 3.35. Then I divided $40.20 by 12 and got 3.35 again. So I multiplied 8, 11, 14, and 17 by 3.35. I got the right answer for 8 (A) and 17 (D).

Marshall is choosing an outfit to wear on Friday night he has four choices for his shirt two choices for his pants and three choices for his shoes how many different outfits can Marshall make

Answers

Answer:

6

Step-by-step explanation:

hehdhrhrhrhrbrhhffh

The harbormaster decides how many trips the ferry needs to
make for 37 cars. The ferry can carry 8 cars at a time. How many trips does the ferry need to make so that all cars can cross the harbor?

Answers

Answer:

The ferry needs to make 5 trips.

Step-by-step explanation:

All we need to do is divide the numbe of trips by how many cars at a time.

37 ÷ 8 = 4.62500

4.62500 ≈ 5

The carter family budgets a total of 2,700 for a ski vacation in Colorado if they plan to go spend 275$ per day and 1,000 on meals about how many days n can the carter family go on vacation ?

Answers

Answer:

275n + 1000 = 2700

They will go 6 days on vacation.

Step-by-step explanation:

Given that the Carter family wants to go on vacation with a budget of $ 2700, of which $ 1000 will be used exclusively for food, and for each day of stay $ 275 will be spent, the formula to obtain the number of days they can spend on vacation is following:

1000 + 275n = 2700

275n = 2700 - 1000

n = 1700/275

n = 6.18

Therefore, with this amount, the Carters will be able to spend 6 days on vacation, and they will have money left over.

find x. please help

Answers

Answer: 29

Step-by-step explanation: 180-146= 34-5 29.

Answer:

[A] 29

Explanation:

Equation: 180 = 146 + (x + 5)

The line adds up to 180, so we need to find what x is

180 = 146 + (x + 5)

Switch Sides

146 + (x + 5) = 180

Remove Parenthesis

146 + x + 5 = 180

Group Like Terms

x + 146 + 5 = 180

Add: 146 + 5 = 151

x + 151 = 180

Subtract 151 From Each Side Of Equation

x + 151 - 151 = 180 - 151

x = 29

What is the end behavior of the polynomial function? (the oo are infinity signs lol)

A. As x --> -oo, y --> 5
B. As x --> oo, y --> oo
C. As x --> oo, y --> 7
D. As x --> -oo, y --> -oo

Answers

Answer:

D

Step-by-step explanation:

When it's talking about going to the infinity, negative or positive, it just means when the line is going down with no end on the graph (in regards to y because that would be a vertical amount aka up and down). When it's in regards to x, it's the same concept except if it's negative infinity for x, it's on the left side. And if it's positive infinity for x, it's on the right side.

Answer:

D

Step-by-step explanation:

3^2-15÷(4-1)
Evaluate each expression
!!!Show your work!!!
A- 1
B- 10
C- 4
D- 6

Answers

Answer:

Step-by-step explanation:

D

What's the better buy: A) 5lb. bag of potatoes for $3.79 or a 2lb. bag
for $1.50?

Answers

Answer:

A 2lb. bag because 1.50 x 2 = 3.00$ plus the extra 1 lb which is 75c = 3.75 $

Step-by-step explanation:

Could i have branliest and heart please

Which of these angles can replace x in tan (x)?

A. □

B. None of these angles are correct.

C. φ

D. θ

Answers

Answer:

C. φ

Step-by-step explanation:

[tex]tan \phi \: = \frac{6}{5} \\ \\ tan x \: = \frac{6}{5} \\ \implies \: x = \phi[/tex]

Thus [tex] \Phi [/tex] can replace x

what is 8x+6 simplified?

Answers

Answer:

4x+3

Step-by-step explanation:

8 and 6 are multiple of 2 so divide 8 /2 = 4 and divide 6/2=3

13. Solve 2/3 + 5/6 and put answer in simplest
form.
O A. 11/2
B.
c. 76
D.776

Answers

Answer:

3/2 or 1 + 1/2

i havent done fractions in a long time but this is what i got from memory

you turn the 2/3 into 4/6 so they can easily be added together to get 9/6 which can be simplified to 3/2 or in proper form 1 + 1/2

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