Calories consumed by members of a track team the day before a race are normally distributed, with a mean of 1,700 calories and a standard deviation of 100 calories. If a normal curve is sketched using these data, what is the range for 3 standard deviations to the right and to the left of the mean?
A.) 1,400-2,000
B.) 0-3,500
C.) 1,600-1,800
D.) 1,500-1,900

Answers

Answer 1

Your answer is:

A) 1,400 - 2,000

keep believing and dont give up.

if nobody loves you, i do

Answer 2

Option A is right.

Given that:

Mean = 1700

Standard deviation = 100

So, the range for 3 standard deviations to the right and to the left of the mean is:

[tex]\left(1700-3\left(100\right)\ ,\ 1700\ +\ 3\left(100\right)\right)\\=\left(1700-300,\ 1700\ +\ 300\right)\\=\left(1400,\ 2000\right)[/tex]

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Related Questions

A room measures 12 feet by 12 feet. A couch is 10 feet and 6 inches long. If you center the couch in the middle of the room, how far will each end of the couch be from the nearest wall?
inches

Answers

Answer:

3/4 feet or 0.75 feet.

Step-by-step explanation:

12 feet - 10.5 feet is 1.5 feet.

1.5 / 2 is 0.75 of a feet.

3/4 feet

Hope this helps.

Answer the riddle!
I speak without a mouth and hear without ears. I have no body, but I come alive with wind. What am I?

PS: DO NOT LOOK UP!

Answers

I think it’s echo correct me if I’m wrong

You are an echo, I believe. Right?

The graph of a line passes through the two points (-2,1) and (2,1).

part 1
Graph the line through the two points (-2,1) and (2,1). Based on the graph of the line only, determine the slope and y-intercept of the line.

part 2

write the equation, in slope-intercept form, of the line that passes through the points (-2,1) and (2,1)
complete your work in the space provided or upload a file that can display math symbols if your work requires it. be sure to include all of the answers for part 1 and 2​

Answers

Answer:

see below

Step-by-step explanation:

part 1

(-2,1) and (2,1)

Both points have the same y value

The slope is zero since it is a horizontal line and it crosses the y axis at y =1 so the y intercept is (0,1)

part 2

The equation of the line in slope intercept form is

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

y = 0x+1

y =1

Answer:

Answer:

see below

Step-by-step explanation:

part 1

(-2,1) and (2,1)

Both points have the same y value

The slope is zero since it is a horizontal line and it crosses the y axis at y =1 so the y intercept is (0,1)

part 2

The equation of the line in slope intercept form is

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

y = 0x+1

y =1

https://brainly.com/question/18203978

Step-by-step explanation:

now you can add the answerer as brainliest.

What’s the diameter and the radius

Answers

Answer:

Radius is 12 (24/2)

Diameter is 24 (a straight line passing from side to side through the center of a circle)

Solve for x 5z-8=-28

Answers

U said solve for x do u mean z?

z=-4

Answer: z = -4

Step-by-step explanation:

Simplifying

5z + -8 = -28

Reorder the terms:

-8 + 5z = -28

Solving

-8 + 5z = -28

Solving for variable 'z'.

Move all terms containing z to the left, all other terms to the right.

Add '8' to each side of the equation.

-8 + 8 + 5z = -28 + 8

Combine like terms: -8 + 8 = 0

0 + 5z = -28 + 8

5z = -28 + 8

Combine like terms: -28 + 8 = -20

5z = -20

Divide each side by '5'.

z = -4

Simplifying

z = -4    Hope this helps !

Need help Just say a b c or d

Answers

Answer:

A) 2

Step-by-step explanation:

19=2x-15

19-15=4

4=2x

4÷2=2

×=2

The answer is B. Hope this helps!

just need the answers for these 3 questions please, and how to do them (:

Answers

Answer:

a) 7

b)64

c)2

Step-by-step explanation:

look at images

Answer:

x = 2

Step-by-step explanation:

The topic here is "fractional exponents."

Review:  2^3 = 8 (this is the cube of 2), and so the inverse function is

            8^(1/3) = 2    ("8 raised to the fractional exponent 1/3 is 2"

Question a)  49^(1/2) ("49 to the power 1/2") can be rewritten as

(7^2)^(1/2), which simplifies to 7^(2*1/2) = 7^1  =  7

Caution:  this is exponentiation, not division.  So 49^(1/2) does not equal 49/2.

Question b)     (     )^(1/3)  =  4

I would prefer to write this as x^(1/3) = 4 and set the goal of finding the value of the base, x.

Then x^(1/3) = 4   ("x raised to the power 1/3 is 4")

Let's elimiinate the fractional exponent on the left by cubing both sides of the equation:

{x^(1/3)}^3 = 4^3, or, after simplification,

x^1 = 64, or, in simplest form,

x = 64

Question c)

Notice that the base here is 1/100

and that the square root of 1 is 1 and that of 100 is 10.

Therefore, the given

{1/100} is equivalent to {1/10)^2

and so we have:

          1                      1

  (------------)^(1/x) = -------   (we are to find x)

     10^2                    10

Note that 10 is the square root of 10^2, also the square root of 100.

So let's take the square root of 10^2.  We get 10.

Therefore, try x = 2 and see whether the given equation is true:

      1                      1

{---------)^(1/2)   =  ------

 100                     10

The square root of 1 is just 1.  The square root of 100 is 10.  

Therefore the above equation becomes

 1        1

----- = -----  and so  x = 2 is correct.

10      10

Simplify the expression.(1/3)4

Answers

Answer:

4/3 or 1 1/3

Step-by-step explanation:

(0.33) 4

I think that is right, good luck.

which actions are most likely to lead to the discovery of new info

Answers

Answer:

the answer is D :3

Step-by-step explanation:

you must use the dividen to answer the question

Given the following two points write the equation in slope intercept form: (0, -5) and (4, 3)

Answers

Answer:

[tex]y=2x-5[/tex]

Step-by-step explanation:

Let's start by finding the slope using the two points given. Use the formula for slope below:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Identify your values:

[tex]x_1=0\\x_2=4\\y_1=-5\\y_2=3[/tex]

Substitute:

[tex]m=\frac{3-(-5)}{4-0}[/tex]

Combine terms:

[tex]m=\frac{8}{4}[/tex]

Simplify:

[tex]m=2[/tex]

_

Let's graph these two points. As seen on the graph attached, we can see that [tex]-5[/tex] is the y-intercept. With our slope and y-intercept, we have the information needed to formulate an equation in slope-intercept form:

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

Identify your values:

[tex]m=2[/tex]

[tex]b=-5[/tex]

Substitute:

[tex]y=2x-5[/tex]

which part of this graph shows a nonlinear relationship

Answers

Answer:

B

Step-by-step explanation:

part 4 of the graph is a curve not a straight line.

linear means straight line and non-linear means not a straight line

Answer:

It b Number 2

Step-by-step explanation:

Can you please solve this.

Answers

Answer:

They are not similar.

Step-by-step explanation:

They aren't the same shape. If they were the answer would be 49, but that doesn't make sense.

They are not similar

Explanation: I did this

Let x be the number of books and y be the number of magazines you can buy. Which of the following represent(s) a possible solution to the equation 10x +4y = 40? Select all that apply.

(0, 10)

(3, 2.5)

(-2, 15)

(2, 5)

Answers

Step-by-step explanation:

so what you are going to do is subsitute all the x axis coordinates with the x in the equation they gave you and then do the same with the y for example A.

10(0)+4(10)=40

Answer:

(0, 10)

Step-by-step explanation:

substitute the value of x,y given into the formula, that equates 40.

10x + 4y = 40

let x = 0, y = 10  ;         10(0)  + 4(10)   = 40    

let x = 3, y = 2.5 ;         10(3)  + 4(2.5) ≠ 40     x

let x = -2, y = 15  ;         10(-2) + 4(15)   ≠ 40    x

let x = 2, y = 5     ;        10(2)   + 4(5)    ≠ 40    x

therefore, (0, 10) is the right answer

Lucy has a bag of marbles. She shares one third of them with Carol, keeping one quarter for herself. Amrita joins them, so Lucy gives the rest of the marbles to her. If Carol has seven more marbles than Lucy, how many does Amrita have?
Please provide working out.

Answers

Answer:

Is this from the VHAP

Step-by-step explanation:

f(x) = -x2 + 10x - 17 a. Axis of Symmetry: b. Vertex: (Max, Min) c. Domain: d. Range: ​

Answers

Answer:

Below in bold.

Step-by-step explanation:

f(x) = -x^2 + 10x - 17

Convert to vertex form by:

f(x) = -(x^2 - 10x) - 17

= - [(x - 5)^2 - 25] - 17

= -(x - 5)^2 + 25 - 17

=  -(x - 5)^2 + 8,

a. So axis of symmetry is x = 5.

b. Vertex is (5, 8) Max.

c.   Domain is All real x.

d. Range is (-∞, 8].

Juan drove from his mother's house to his apartment at Arkansas Tech. After driving for 20 minutes, he was 62 miles away from his apartment. After driving for 32 minutes he was only 38 miles away. The time driving and the distance away from his apartment form a linear relationship. What is the independent and dependent variables

Answers

Given:

After driving for 20 minutes, Juan was 62 miles away from his apartment.

After driving for 32 minutes Juan was only 38 miles away.

The time driving and the distance away from his apartment form a linear relationship.

To find:

The independent and dependent variables.

Solution:

If the value of a variable depends on the another, then it is called dependent variables.

If the value of a variable does not depend on the another, then it is called independent variables.

In the given problem, the distance of Juan from his apartment depends on the time he drove. So,

Dependent variable = Distance of Juan from his apartment in miles.

Independent variable = Time he drove

PLEASE HELP ASAP ILL GIVE YOU BRAINLEST


Mira borrowed $1,200 from the bank to help pay rent. If the bank charged 6% interest over 9 months, how much did she pay the bank back all together?

Answers

Step-by-step explanation:1,200x 0.06 interest= 72.

She paid it over the course of 9 months, so 72x9= 648.

Mira pay $1,254 the bank back all together.

What is Simple interest?

A quick and easy method of calculating the interest charge on a loan is called a Simple interest.

We have to given that;

Mira borrowed $1,200 from the bank to help pay rent.

And, The bank charged 6% interest over 9 months.

Now, We know that;

⇒ Simple interest = PRT / 100

Where, P is principle amount, R is rate and T is time.

So, We get;

⇒ Simple interest = PRT / 100

⇒ Simple interest = 1200 × 6 × 9/12 × 1/100

⇒ Simple interest = $54

Hence, The total amount to pay back to bank is,

Amount = Principle amount + Interest

⇒ Amount = $1,200 + $54

⇒ Amount = $1,254

Learn more about the simple interest visit;

brainly.com/question/2294792

#SPJ2

list 1/6, -4, sq root of 8, 4.3 from least to greatest 

Answers

Answer:

-4, 1/6, sq rt 8, 4.3

Step-by-step explanation:

1/6=.167

sq rt8= 2.82

A cup slides off a 1.1\,\text m1.1m1, point, 1, start text, m, end text high table with a speed of 1.3\,\dfrac{\text m}{\text s}1.3
s
m

1, point, 3, start fraction, start text, m, end text, divided by, start text, s, end text, end fraction to the right. We can ignore air resistance.
What was the cup's horizontal displacement during the fall?

Answers

Answer:

0.616m

Step-by-step explanation:

A community center with 700
members has 56 teenage members.
What percentage of the members are
teenagers?
F 56%
G 8%
H 5.6%
J 80%

Answers

Answer:

8%

Step-by-step explanation:

divide number of teenagers by total and the multiply by 100... this is very basic

Answer: 8

Step-by-step explanation:

What is the simple interest formula?

A.I=P-rt
B.I=Prt
C.I=P+r+t

Answers

the answer should be I=prt
The answer is B!!!!!!

The rational numbers below are arranged in descending order. Select all of the numbers that could
come next.
4
3
93%, 0.7,
A.
1 x 10-2
B.
C.
65%
5
5
D.
E.
06
F.
2.3 x 102
2.

Answers

Answer:

f

Step-by-step explanation:

2. GAME Frita's game piece is on square
24 of a game board. She draws a card
that
says, "Move back 4 spaces." Then
she draws a card that says, “Move back
2 spaces." On which square is Frita's
game piece now?

Answers

Answer:

Square 18.

Step-by-step explanation:

First, you subtract 4 from 24, and get 20, which you subtract 2 from to get your answer: 18.

Hope this helps!

Sam's Furniture Store places the following advertisement in the local
newspaper. Write a system of equations for the three combinations of
furniture. What is the price of a love seat?*
Write a system of equations for the word problem and solve it. ONLY input your answer for how
much a love seat cost.
SAM'S
Store
Stand kve seat
$1300
$1400
$1600
Sols and two chairs
Safa, love seat, and one chair
Your answer

Answers

Answer:

1. The system of equations is given as follows;

S + L = $1,300................(1)

S + 2·C = $1,400............(2)

S + L + C = $1,600.........(3)

Where;

S = The cost of a sofa

L = The cost of a love sea

C = The cost of a single chair

2. The cost of a love sea, L is $500

Step-by-step explanation:

1. The given information are;

The price of sofa and love sea = $1,300

The price of sofa and two chairs = $1,400

The price of sofa, love sea, and one chair = $1,600

Let the cost of a sofa = S

Let the cost of a love sea = L

Let the cost of a chair = C

Therefore, we have;

S + L = $1,300................(1)

S + 2·C = $1,400............(2)

S + L + C = $1,600.........(3)

2. From equation (1), we have;

L = $1,300 - S

Similarly, from equation (2),we have;

C = ($1,400 - S)/2

Substituting the values of L and C in equation (3), we have;

S + $1,300 - S + ($1,400 - S)/2 = $1,600

Which gives;

($1,400 - S)/2 = $1,600 - $1,300 = $300

$1,400 - S = 2 × $300 = $600

$1,400  = $600 + S

$600 + S = $1,400

S = $1,400 - $600 = $800

S = $800

The cost of a love seat, L, is given from the relation L = $1,300 - S, above, which gives;

L = $1,300 - $800 = $500

The cost of a love sea, L is $500 .

Greatest common factor and disruptive property: rearrange 16 and 36 to look like this _______(_____+_____)

Answers

the answer should be 4 (4+9)

What is 2+2 how do you know?

Answers

Answer:

is 4

Step-by-step explanation add

Question 1.

what equation is graphed in this figure?

A. y-4= -1/3(x+2)

B. y-3=1/3(x+1)

C. y+2=-3(x-1)

D. y-5=3(x-1)

Question 2.

a line has a slope of 3 and goes through the point (6,-5) what is the equation of this line in standard form?

A. -3x+ y=-13

B. -3x + y=21

C. 3x+ y= 13

D. -3x y= -23

Question 3.

a line passes through the points (-4,-9) and (-2,-6) what is the equation of the line in slope- intercept form?

A. y=2/3x +3

B. y=3/2x-3

C. y=2/3x -3

D. y=2/3x+3 ​

Answers

Answer:

whats the choice dudududududeudeudeududueduedudeuduededeudeudueduedeudeud ededeededede

Step-by-step explanation:

what is the choices !$.$.$&.

y = –6x+2
–12x – 2y = –4
How many solutions does this linear system have?

one solution: (0, 0)
one solution: (1, –4)
no solution
infinite number of solutions

Answers

Answer:

infinite number of solutions

Step-by-step explanation:

y = -6x + 2 . . . . . . . . (1)

-12x - 2y = -4 . . . . . . (2)

Putting (1) into (2), we have

-12x - 2(-6x + 2) = -4

-12x + 12x - 4 = -4

-4 = -4

Therefore, the system has infinite number of solutions.

I hope this helps you! :3 :)

Answer:

infinte number of solutions

Step-by-step explanation:

"If x = y, then x + 4 = y + 4" represents the
property of equality.
OA) substitution
B) subtraction
C) addition
D) transitive

Answers

Answer:

C

Step-by-step explanation:

Look in your old textbooks

C) addition,

x + 4 = y + 4

The graph of a linear function has a slope of 3 and contains the point (15, 6). What is the y-intercept?

PLEASE HELPPP

Answers

Answer:

y(0) = -39

Step-by-step explanation:

15 * 3 = 45

6- 45 = -39

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