Use the following information for the questionThe average travel time to work for a person living in kokomo is 17 minutes. Suppose the standard deviation of travel time to work is 4.5 minutes and the distribution of travel time follows a normal distribution. Approximately what percentage of people living in Flint have a travel time to work that is less than 12.5 minutes?A) 15% B) 25% C) 75% D) None of these.

Answers

Answer 1

Answer:

16%

Step-by-step explanation:

We solve using z score formula

= z = (x-μ)/σ, where

x is the raw score = 12.5 minutes

μ is the population mean = 17 minutes

σ is the population standard deviation = 4.5 minutes

z = 12.5 - 17/4.5

z = -1

Probability value from Z-Table:

P(x<12.5) = 0.15866

Converting to percentage

= 0.15866 × 100

= 15.866%

Approximately , the percentage of people living in Flint have a travel time to work that is less than 12.5 minutes is 16%


Related Questions

Which is the equation of a line that passes through the point(-2,5) and has a slope of zero?

Answers

Answer:

y = 5

General Formulas and Concepts:

Alg I

Point-Slope Form: y - y₁ = m(x - x₁)  

x₁ - x coordinate y₁ - y coordinate m - slope

Step-by-step explanation:

Step 1: Define variables

Point (-2, 5)

Slope m = 0

Step 2: Write function

y - 5 = 0(x + 2)

y - 5 = 0

y = 5

Step 3: Identify

y = 5 is a horizontal line.

Cole is saving money at a constant rateSuppose he initially has $190 saved, and after 3 months, he has $265 saved. Which of these expresses the rate at which Cole is saving?

Answers

Answer:

His unit rate per month is 25 dollars

Step-by-step explanation:

Cole has saved 25 dollars per month. by subtracting 190 from 265 you are left with 75. when left with 75 you can divide by 3 for the the 3 months hes been saving his money. 75 divided by 3 is 25.

I need help with 2 questions plzzzzz

1. The two lines represented by the equations below are graphed on a coordinate plane. Which statement best describes the two lines? x + 6y = 12 and 3(x -2) =-y-4 *

The lines are parallel.
The lines are the same line.
The lines are perpendicular.
The lines intersect at an angle other than 90°.

2. Triangle Proof: Which type of triangle can be drawn using the points (-2, 3), (=2, -7), and (4, -5)? Use the distance formula to find the length of each side. *

Scalene
Isosceles
Equilateral
No triangle can be drawn

Answers

Answer:

Step-by-step explanation:

1). x + 6y = 12 ⇔ y = [tex]-\frac{1}{6}[/tex] x + 2

3(x - 2) = - y - 4 ⇔ y = - 3x + 2

There is not significant relation between slopes such as:

- "the same" for parallel or the same lines;

- "opposite reciprocals" for perpendicular lines;

Thus, there is only answer option left: "The lines intersect at an angle other than 90°."

2). A(- 2, 3), B(- 2, - 7), C(4, - 5)

AC = [tex]\sqrt{(-2-4)^2 +(3+5)^2}[/tex] = 10

AB = 10

BC = [tex]\sqrt{(-2-4)^2 +(-7+5)^2}[/tex] = 2√10

Triangle is Isosceles.

1. Solve for m for the following equation

- (2 m + 8) > 4(10 - m )?

Answers

This is the answer to your question

This table shows a linear relationship. x 5 6 7 8 9 y 33 39 45 51 57 Based on the information in this table, which equation can be used to model the relationship between x and y? A y = 3x + 6 B y = 6x + 3 C y = 3x D y = 6x

Answers

Answer:

B. y = 6x + 3

Step-by-step explanation:

Given

x = {5, 6, 7, 8, 9} andy = {33, 39, 45, 51, 57}

The equation in slope- intercept form:

y = mx + b

Using two pairs of coordinates (5, 33), (6, 39), we will find the slope:

m = (39 - 33)/(6 - 5) = 6/1 = 6

Using one point (5, 33) to find the y-intercept:

33 = 6*5 + b ⇒ b = 33 - 30 ⇒ b = 3

The equation is:

y = 6x + 3

Correct option is B

Identify the slope of the line graphed below.
m =

Answers

the slope is 0 bc its horizontal

Pedro & Samuel are training for a race. The ratio of miles Samuel runs is 2:3. If Samuel logs 27 miles, then how many miles did Pedro train

Answers

Answer:

18

Reason:

the ratio is 2:3, and samuel is the 3 part. We can put this as for every 2 miles that pedro gets, samuel gets 3 miles. Samuel got 27 miles, so you do 27/3 which is 9, and then 9 * 2, which is 18.

HELPPPPPPP PLEASEEEEEEEEWEEE

Answers

Answer:C

Step-by-step explanation: slope of 0 will always be horizontal

What is R ^-3 x R ^5

Answers

Answer:

that's good and I'm good

Which value is equivalent to (7•3•2/7•5) ^2 × (7^0/5^-3)^3 × 5^-9
(please help I'm confused picture makes more sense)​

Answers

Answer:

36/25

Step-by-step explanation:

If you need help and nobody is answering you or they don't know how to do it. Look at picture below

Use the Distributive Property to simplify

1/7 x (56 - 1/4)

Answers

Answer:

7.96428571429

Step-by-step explanation:

Round you the nearest number.

The answer is 223/28 or 7 27/28 when Simplified

I just muiltpyied 1/7 with 56 and -1/4 .

Plz mark branliest

Can u guys please help me and explain ur answer ❤️

Answers

Answer: Slope is -2/3

Step-by-step explanation:

Formula: y2 - y1/x2 - x1 =  m

Points (You can choose any two points, but I'll choose these): (1,8) and (4,6)

Explanation Steps:

y2 - y1/x2 - x1 =  m

6 - 8/4 - 1 = m

-2/3 = m

Slope is -2/3

Classify the shape as precisely as possible based on its markings.
Question 11 options:

A)

Rhombus

B)

Quadrilateral

C)

Parallelogram

D)

Rectangle

Answers

Answer:

c is wrong

Step-by-step explanation:

The given shape is a rhombus.

Hence the correct option is A.

Given is a shape we need to identify its type,

Since all the sides are congruent shown, so we can conclude that the shape is a Rhombus.

A rhombus is a quadrilateral (a polygon with four sides) in which all four sides have equal length. Additionally, the opposite sides of a rhombus are parallel to each other.

The rhombus is also a special type of parallelogram, as it has all the properties of a parallelogram, including opposite sides being equal in length, all the sides being equal and opposite angles being equal in measure.

Hence the correct option is A.

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What is the sum of the interior angles of a quadrilateral?
90°
180°
270°
360°

Answers

Answer:

360º

Step-by-step explanation:

too easy

Answer:

360

Step-by-step explanation:

I had it on a quiz also plz mark brainliest im trying to level up

Five different awards are to be given to three students. Each student will receive at least one award. In how many different ways can the awards be distributed?

Answers

Answer:

It is 150.

Step-by-step explanation:

This clarifies it https://artofproblemsolving.com/wiki/index.php/2020_AMC_8_Problems/Problem_23

The mass of Earth is 5.9722×1024 kg. The mass of Venus is 4.8685×1024 kg. What is the difference between the mass of Earth and the mass of Venus?

Answers

Step-by-step explanation:

5.9722x1024 - 4.8685x1024

1130.1888

A) -2/3

B) -1/3

C) 1/3

D) 2/3

Answers

Answer:

D

Step-by-step explanation:

(0, -3), (6,1) these are the points

Using the slope formula:

1+3/6-0= 4/6=2/3

Thus, it is D

Linear equation: -1 (6x + (6x + 10) = 13
Step 1: -3x - 5 = 13
Step 2: -3x = 18
Step 3: x= -6

Which sequence describes the inverse operations used for steps 2 and 3 to solve the linear equation?
O the addition property of equality and then the division property of equality
O the addition property of equality and then the multiplication property of equality
O the subtraction property of equality and then the division property of equality
O the subtraction property of equality and then the multiplication property of equality

Answers

Answer:

the addition property of equality and then the division property of equality

if a coin is flipped 3 times, how likely are you to get tails 3 times in a row​

Answers

Answer:

Suppose you have a fair coin: this means it has a 50% chance of landing heads up and a 50% chance of landing tails up. Suppose you flip it three times and these flips are independent. What is the probability that it lands heads up, then tails up, then heads up? So the answer is 1/8, or 12.5%.

Step-by-step explanation:

When rounded to the nearest thousands an elephant weight is 5,000 pounds. What is the least amount the elephant could weigh? I need step by step instructions please.

Answers

Answer:

Step-by-step explanation:

It depends on what you have been told about rounding when a 5 is involved.

If you can round if the answer is 4500, then that would be your answer. If you have some complicated method of dealing with the 5 (involving odd or even numbers) the elephant's minimum weight will be different.

I would go with 4500.

4500


Step-by-step. Equation

Charmaine runs 4 miles in 30 minutes. At the same rate how many minutes would she take to run 10 minutes

Answers

Answer:

It will take her 75 minutes To run 10 miles.

Step-by-step explanation:

I believe to run 10 miles (not minutes)

30/4= 7.5 minute per mile

7.5*10= 75 minutes

Answer:

10x0.133=1.33 so approximately 1.3 miles

Step-by-step explanation:

Charmaine runs 0.133 miles per minute

sadie bought 9 cans of peaches for ,$12 at the rate how much would she pay for 21 cans of peaches​

Answers

$27.93

You want to know how much she payed for 1 can. So you divide $12 by 9 cans. For one can, she paid $1.33. Now multiply that by 21 cans.
1.33•21=27.93

For 21 cans she has to pay $28.

What is Unitary method?

It is a method where we find the value of a single unit from the value of multiple units and the value of multiple units from the value of a single unit.

Steps to Use Unitary Method

First, let us make a note of the information we have. There are 5 ice-creams. 5 ice-creams cost $125.

Step 1: Let’s find the cost of 1 ice cream. In order to do that, divide the total cost of ice-creams by the total number of ice-creams. The cost of 1 ice-cream = Total cost of ice-creams/Total number of ice-creams = 125/5 = 25. Therefore, the cost of 1 ice cream is $25.

Step 2: To find the cost of 3 ice-creams, multiply the cost of 1 ice cream by the number of ice-creams. The cost of 3 ice-creams is cost of 1 ice-cream × number of ice-creams = 25 × 3 = $75. Finally, we have the cost of 3 ice-creams i.e. $75.

Given:

cost of 9 cans = $12

cost of 1 can= 12/ 9

                    = 4/3

Now, cost of 21 cans = 21* 4/3

                                   = 7*4

                                   = $28

Hence, for 21 can she has to pay $28.

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Use the function Y=2x^2+3x+7 to answer the following questions

Answers

Answer:

What are the questions?

5) Find the distance between -9 and 12 on a number line.​

Answers

Answer: Hope this helps!!!

Step-by-step explanation:Absolute Value: You need to find how far away both numbers are from zero, then add these values together to see how far apart these numbers. The absolute value of nine, |-9| is 9, and |12| is 12. This means that the nine is nine spots away from zero, and twelve is twelve spots from zero. This means that the numbers are 20 units from each other.

Distance -9 is from 12 You need to find how much of an increase from nine you need to reach the twelve. So -9 + ? = 12. What number can you add to equal twelve? You can add 20 to make the equation true. (? = 20) The distance from -9 to 12 is a positive 20.

Distance from 12 to -9 This is similar to the previous example. What number can you insert to make the 12 equal the negative nine? 12 - ? = -9. The number would be -20, which means that 12 is 20 spots away from the negative nine, as it took at negative twenty to get us to the negative nine.

Bobby rode 18 miles in 24 minutes. At this rate, how
many miles did he ride in 4 minutes?

Answers

I’m guessing 3 miles. You would have to cross multiply and solve for x, miles. I hope this is right.

can someone help me pls

Answers

3/7 is bigger than 1/4 common denominator: 28

find the missing value of 6/9 = m/6​

Answers

Answer: 4

Step-by-step explanation:

6/9 = m/6  We can multiply both sides of the equation by 6 to solve for m

so we get 36/9 = m. m = 4

Which of the following is a polynomial with roots 5, -6, and 7? (2 points)

Answers

The answer would be C

Answer:

the answer is C

Step-by-step explanation:

Find the slope using the formula.
(-2, -8) and (4, -6)

Answers

Answer:

1/3

Step-by-step explanation:

-8 - -6 = -2

-2 - 4 = -6

-2/-6 = 2/6 = 1/3

A boat is pulled toward a dock by means of a rope wound on a drum that is located 6 ft above the bow of the boat. If the rope is being pulled in at the rate of 5 ft/s, how fast (in ft/s) is the boat approaching the dock when it is 34 ft from the dock?

Answers

Answer:

Step-by-step explanation:

Given that:

The height of the dock (h) = 6

Let represent d to be the distance between the boat and the dock

Let the length of the rope between the boat and the drum be denoted by (l)

Then, the rate of change for the length of the rope be:

dl/dt = -5 ft/s

Using Pythagoras rule to determine the relationship between these values, we have:

[tex]l^2 = h^2 +d^2[/tex]

[tex]l^2 = 6^2 + d^2[/tex]

[tex]l^2 = 36 + d^2[/tex]

We relate to:  [tex]2l * \dfrac{dl}{dt} = 2d* \dfrac{dd}{dt}[/tex]

From the question;

l = 34,

So to find [tex]\dfrac{dd}{dt}[/tex], we get;

[tex]d = \sqrt{l^2 - 36}[/tex]

[tex]d = \sqrt{34^2 - 36}[/tex]

[tex]d = \sqrt{1156- 36}[/tex]

[tex]d = \sqrt{1120}[/tex]

d = 33.46

So, we have:

[tex]\dfrac{dd}{dt}= \dfrac{l}{d} \times \dfrac{dl}{dt}[/tex]

[tex]\dfrac{dd}{dt}= \dfrac{34}{33.46} \times - 5[/tex]

[tex]\dfrac{dd}{dt}= 1.016 \times - 5[/tex]

[tex]\dfrac{dd}{dt}=-5.08 \ ft/sec[/tex]

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