Suppose that the average speed of cars on a busy section of a local highway was normally distributed with a mean of 65 mph and standard deviation of 4 mph. What is the probability that the speed of a random car in this data set was less than 53 mph?

0.025
0.0015
0.16
0.475

Answers

Answer 1
Answer: Choice B)  0.0015

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Explanation:

mu = 65 = population meansigma = 4 = population standard deviation

Let's convert x = 53 to its corresponding z score

z = (x-mu)/sigma

z = (53-65)/4

z = -12/4

z = -3

This indicates we're 3 standard deviations below the mean.

Recall that the Empirical Rule states that roughly 99.7% of the data items in a normal distribution are within 3 standard deviations of the mean. That leaves 100% - 99.7% = 0.3% outside this range. This small percentage is the combined percentage in both tails. Take half of this to find the amount in the left tail only.

(0.3%)/2 = 0.15%

This then converts to 0.0015 when we move the decimal point 2 spots to the left.


Related Questions

Find the value of x.

Answers

Answer is 23 I’m pretty sure

Please Please Help Me. Put the following equation of a line into slope-intercept form, simplifying all fractions.
2y-2x= -14

Answers

Answer:

y = x-7

Step-by-step explanation:

Slope intercept form is

y = mx+b  where m is the slope and b is the y intercept

2y -2x = -14

Add 2x to each side

2y-2x+2x= 2x-14

2y = 2x-14

Divide by 2

2y/2 = 2x/2 -14/2

y = x-7

Giving brainliest to the person who answers correctly.
What type of angles are these?

Answers

Answer: I believe those would be opposite angles (aka vertically opposite angles).

Work out the value of 3.14

Answers

157/5....................

If 1 1/4 kilo of meat is 320 pesos. How much will it need to purchase 5 1/2 kilos of meat?

Answers

Answer:

450 pesos

Step-by-step explanation:

5 kilograms is equal to 400 pesos.

5/12 would be 450 pesos.

determines by estimate which answer is best.

635•0,67

125 225 325 425

Answers

Answer:

2

Step-by-step explanation:

2

write linear equatuon relating x and y for each table x (2,4,6,8). y (5,8,11,14)

Answers

Step-by-step explanation:

x increases continuously in steps of 2, y increases continuously in steps of 3.

so the slope of the line is y difference / x difference = 3/2. and the slope is siesta the factor of x in the equation

the line equating looks so far like

y = (3/2)×x + b

to get b we use one of the x and y pairs like (2, 5) and put these values in :

5 = (3/2)×2 + b = 3 + b

b = 2

so, the full equation is

y = (3/2)×x + 2

can someone simplify this question? 6+6x ≤ 7x+10 ≤ 10-5x

Answers

Answer:

It is - 4 ≤ x ≤ 0

Step-by-step explanation:

hhhhhhhhhhheeeeeeeeeeeelllllllllllllpppppppppp

Answers

Answer:

angle 4 is the alternate angle

Answer: (A) angle 1

Step-by-step explanation:

One circle has a circumference of 12 cm. Another circle has a circumference of 32 x cm. What is the ratio of the
radius of the smaller circle to the radius of the larger circle?
3:8
8:3
1:3
3:1

Answers

Answer:

8:3

Step-by-step explanation:

Answer:

3:8 or 8:3, im leaning towards 3:8 more but i dunno

Step-by-step explanation:

A construction company can remove 6 3/4 metric tons of dirt from a construction site in 1 7/8 hours. What is the unit rate in metric tons per hour? Write your answer as a fraction or a mixed number in simplest form.

Answers

Answer:

567

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

2x2=4-2 =2

I really need help in this, please I keep getting links! help asap. (20 points)

Allen is showing his work in simplifying –8.3 + 9.2 – 4.4 + 3.7. Identify and explain any errors in his work or in his reasoning. Write feedback to Allen explaining the mistake he made and how to correct his work.


Step Work Reasoning
−8.3 + 9.2 − 4.4 + 3.7 Original problem
1 −8.3 + 9.2 + 4.4 + 3.7 Additive inverse
2 −8.3 + 4.4 + 9.2 + 3.7 Commutative property
3 −8.3 + (4.4 + 9.2 + 3.7) Associative property
4 −8.3 + 17.3 Simplify
5 9 Simplify

Answers

Answer:

0.2

Step-by-step explanation:

A count went from 605 to 203. What was the approximate percent decrease? Round the numbers to find an estimate of the percent decrease.
A. The percent decrease was approximately 25%.
B. The percent decrease was approximately 33%.
C. The percent decrease was approximately 50%.
D. The percent decrease was approximately 66%.

Answers

IT'S D

HOPE THIS HELP MARK ME BRAINLIST

Harold bought 3 pounds of red apples and 4.2 pounds of green apples from a grocery store, where both kinds of apples are $1.75 a pound. How much did Harold spend on apples?

Answers

the answer is 11.6
add 3+4.2= 7.2 times 1.75

Answer:

11.6 is your answer. brainliest pls

Step-by-step explanation:

9x + 7
Verbal
Expression

Answers

Today started off at 7 degrees but every hour increased by 9.

HURRY PHOENIX! Hey Phoenix It's worth 100 points!
What should the following equation be multiplied by to eliminate the decimals? -200k – 3.01 = 3.3
100
10
2
20

Answers

10

3.3×10= 33

Hope this helped you- have a good day bro cya)

You can substitute a number for a variable and then find the value of the expression. This is called _________________ the expression.

Answers

A variable is a letter, for example x, y or z, that represents an unspecified number.

6+x=12

To evaluate an algebraic expression, you have to substitute a number for each variable and perform the arithmetic operations. In the example above, the variable x is equal to 6 since 6 + 6 = 12.

If we know the value of our variables, we can replace the variables with their values and then evaluate the expression.Step-by-step explanation:

May I please receive help?

Answers

Parallel lines have the same slope, while perpendicular lines have an opposite reciprocal slope.

Line 1:

-5y = 3x + 7

y = -3/5x - 7/5

Line 2:

y = -5/3x + 8

Line 3:

6x - 10y = -4

-10y = -6x - 4

y = 3/5x + 2/5

Line 1 and Line 2 are neither perpendicular nor parallel. While their slopes are reciprocals of each other, the signs are not opposite (both are negative).

Line 1 and Line 3 are neither perpendicular nor parallel. While the slope itself is the same, the signs are different.

Line 2 and Line 3 are perpendicular. Their slopes are opposite reciprocals of each other.

Hope this helps!! :)

Graph the inequality
4x-12y<24
Show all your work!

Answers

Answer:

 Slope = 0.667/2.000 = 0.333

 x-intercept = 6/1 = 6.00000

 y-intercept = 6/-3 = 2/-1 = -2.00000

Step-by-step explanation:

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    4*x-12*y-(24)=0

Step 1: Pulling out like terms

Pull out like factors :

  4x - 12y - 24  =   4 • (x - 3y - 6)  

Equation at the end of step 1:

Step 2:

Equations which are never true:

Solve :    4   =  0

This equation has no solution.

A a non-zero constant never equals zero.

Equation of a Straight Line

Solve   x-3y-6  = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line  x-3y-6  = 0 and calculate its properties

Graph of a Straight Line :

Calculate the Y-Intercept :

Notice that when x = 0 the value of y is 2/-1 so this line "cuts" the y axis at y=-2.00000

 y-intercept = 6/-3 = 2/-1  = -2.00000  

Calculate the X-Intercept :

When y = 0 the value of x is 6/1 Our line therefore "cuts" the x axis at x= 6.00000

 x-intercept = 6/1  =  6.00000  

Calculate the Slope :

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is -2.000 and for x=2.000, the value of y is -1.333. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of -1.333 - (-2.000) = 0.667 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

   Slope     =  0.667/2.000 =  0.333  

Geometric figure: Straight Line

 Slope = 0.667/2.000 = 0.333

 x-intercept = 6/1 = 6.00000

 y-intercept = 6/-3 = 2/-1 = -2.00000

you divide a number by 3, add 6, then subtract 7. The result is 4. What is the number?

Answers

Answer:

15

Step-by-step explanation:

15 because 15 divided by 3 equals 5 + 6 equals 11 and 11 minus 7 equals 4

The cost of printing different numbers of copies of a book is shown on the graph below.

Which equation represents the cost ,C, of printing n copies of the book?

Answers

Answer:B

Step-by-step explanation:200 times 2 is 400

PLEASE HELPPPPPPPPPPPP!

Answers

Answer:

10

Step-by-step explanation:

[tex]2^{2} +10^{2} =c^{2}[/tex]

4+100=[tex]c^{2}[/tex]

c=[tex]\sqrt{104}[/tex]

c=10.198

Round to nearest thousandth

c=10

Hope this helps :)

Comment if you need more help :) :)

10.3923
The way to solve is a 10^2+2^2=c^2
Then you get 108=c^2
You square root it because you’re trying to find one c, not multiple C’s
That gives you your C once your square it

Use the given frequency table to find mean, median,mode,and range.

Answers

Answer:

Mode:6

median: 5.5

mean: 5.25

range : 2

Step-by-step explanation:

4. The sum of three consecutive oven integers is 84. What are the three numbers?

Answers

Answer:

The required numbers are 26 , 28 and 30

Step-by-step explanation:

Given that the sum of the three even integers is 84.

plssssssssssssssssssssssssssssssssssssssssssssss

Answers

Answer:

34 hours

Step-by-step explanation:

Lets call M the number of hours that Maddie volunteered. Ryan volunteered 1 + 3×M hours, and altogether they volunteered 45 hours, so:

1 + 3×M + M = 45

1 + 4M = 45 Subtract 1 in both sides

4M = 44 Divide both sides by 4

M = 11 hours

So Maddie volunteered 11 hours, and Ryan volunteered

1 + 3×11 = 34 hours

Please HELPPPPPPPPPP

Answers

Answer:

1.3

2.6

3.24

Step-by-step explanation:

Hope it helps

A) 3
B)6
C)6/1=6
I hope I helped

wiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii

Answers

Are you talking about the console Wii

if so yeah there pretty good

Answer:

Sports

Step-by-step explanation:

what is 3/4 times 8/9?! plzzzzzzzzzzzzzzzzzzzzzzzzzzzzz

Answers

Answer:

2/3

Step-by-step explanation:

= 3/4 * 8/9

= 24/36

simplify by 4

= 6/9

simplify by 3

= 2/3

Answer:

24 /36 or 2/3

Step-by-step explanation:

3 x 8 = 24

4 x 9 = 36

24/36

Simplify the fraction to get 2/3

Therefore, 2/3 would be your answer.

-kiniwih426

Richard had 180 total minutes to do
homework, mow the grass, and walk the dog.
He spent 3(x + 4) minutes mowing the
grass.
He spent (x + 3) minutes working on
homework
He walked the dog for x minutes.
How many minutes did Richard spend
mowing the grass?

Answers

3(x+4)= 3x+12
3x+12+x+3+x=5x + 15
5x+15=180
5x=180-15
5x=165
x=165/5
x= 33min

mowing the grass = 3(x+4)
= 3(33+4)
=99+12
=111 min mowing grass

If a train travels 420 miles in 24 hours, what is its unit rate of travel?

16 mph

19.5 mph

17.5 mph

15.2 mph​

Answers

17.5mph

420÷24= 175

Hope this helped you- have a good day bro cya)

Answer:

17.5mph

Step-by-step explanation:

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