Calories consumed by members of a track team the day before a race are normally distributed, with a mean of 1,600 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?
O 1,400-1,800
O 1,500-1,700
O 1,300-1,900
O 0-3,200



20 POINTS

plz help

Thank you

Answers

Answer 1

Answer:

The solution is 1,300-1,900

Step-by-step explanation:

Simply put:

The standard deviation is 100. Because the range is 3 standard deviations, you add and subtract 300 from 1,600 instead of the normal 100.

So,

1,600 - 300 = 1,300

1,600 + 300 = 1,900

So, your answer is the third option: Between 1,300 and 1,900

Answer 2

The correct answer is 1,300 - 1,900.


Related Questions

Anybody know the answer to this? Please help ASAP

Answers

Answer:

Read this section of the text:

These raptors eat primarily flying insects, so they do most of their hunting on the wing.

What does primarily mean in this sentence?

Step-by-step explanation:

y = -1X + 9
Use the equation to predict the number of visits per week to a coffee shop that is 3 blocks away.

Answers

Answer:

Step-by-step explanation:

It is a pity that we can't see the name of the units on the y axis. I sound like a grumpy old man (which I am), but the answer might be easy enough. Follow the line upwards from x=3 to the best fitting line. Then go left until you hit the y axis.

All other things being equal, you should get 6. I'm not positive about this because the units are differently spaced along each axis. But I do think you have the right equation y = -x + 9

Let Ln denote the left-endpoint sum using n subintervals and let Rn denote the corresponding right-endpoint sum. In the following exercise, compute the indicated left and right sums for the given function on the indicated interval.
L4 for f(x)=1/x−1; [2,3]

Answers

Answer:

[tex]L_4=0.7595[/tex]

Step-by-step explanation:

We are given that

[tex]f(x)=\frac{1}{x-1},[/tex][2,3]

We have to find L4

It means n=4

[tex]\Delta x=\frac{b-a}{n}=\frac{3-2}{4}=\frac{1}{4}=0.25[/tex]

Now, intervals are

[2,2.25],[2.25,2.50],[2.5,2.75],[2.75,3]

Now,

[tex]L_4=f(x_0)\Delta x+f(x_1)\Delta x+f(x_2)\Delta x+f(x_3)\Delta x[/tex]

[tex]L_4=\frac{1}{2-1}(0.25)+\frac{1}{2.25-1}(0.25)+\frac{1}{2.5-1}(0.25)+\frac{1}{2.75-1}(0.25)[/tex]

[tex]L_4=0.7595[/tex]

X+8=0 in standard form please show work

Answers

Step-by-step explanation:

X + 8 = 0

- 8 -8

X = -8

Answer: -8

Finn feeds his puppy 1/2 of a cup of food 3 times per day Finn has 4 1/2 cups of food left how many days will it take to use all the food

Answers

Answer:

there are 3 days until all the food is gone

Evaluate the expression when a =
and b = 6.
16a? – 4b =

Answers

Answer:

Step-by-step explanation:

16(1/4)^2 - 4(6)

16(1/16) - 24

1 - 24 = -23

find the value of x in the following parallelogram:
6x-15=5x+10=x+15

Answers

Answer:

x=6

Step-by-step explanation:

You are driving up a mountain. At the base of the mountain you see a sign that states the elevation above sea level is 3,720 feet at this point. You then travel a horizontal distance of 5 miles to the top of the mountain, and see another sign that states the elevation is 4,215 feet above sea level. What was the average slope of the mountain you just climbed in feet/mile?

A) 843 ft/mi
B) 744 ft/mi
C) 99 ft/mi
D) 0.0188 ft/mi

Answers

Step-by-step explanation:

Slope of the mountain

= Rise in height / Run in distance

= (4215ft - 3720ft) / 5 mi

= 495ft / 5mi

= 99ft/mi. (C)

Find the equation of the line with slope of 4 and y-intercept of -3.
A. y = 1/4x - 3
B. y = -1/4x – 3. C. y = 1/4x + 3
D. y = 4x - 3

Answers

Answer:

y = 4x -3

Step-by-step explanation:

The slope intercept form of an equation is

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

y = 4x -3

Marissa counted 29 coins in her change purse which contained, d, dimes and, q, quarters. The value of the coins is $5.00. How many dimes and how many quarters are in her change purse?

Answers

Answer:

i think the rubber ducky in the bath died on the celling so she was happy and then there was a puddle of tears on the ground so thats why u should never go to school

Step-by-step explanation:

metalworker has a metal alloy that is 25​% copper and another alloy that is 70​%
copper. How many kilograms of each alloy should the metalworker combine to create 50kg of a 52​% copper alloy

Answers

x = amount (kg) of 25% coper alloy

y = amount (also kg) of 70% copper alloy

Each kilogram of the 25% alloy contains 0.25 kg of copper, while each kilogram of the 70% alloy contains 0.7 kg of copper. When combined, the metalworker ends up with (x + y) kg of an alloy that should consist of 52% copper, so that it contains 0.52 (x + y) kg of copper.

The metalworker wants to make 50 kg of this new alloy, so that

x + y = 50

of which 52%, 0.52 (50 kg) = 26 kg, is copper, so

0.25x + 0.7y = 26

Solve for y in terms of x :

y = 50 - x

Substitute this into the other equation and solve for x :

0.25x + 0.7 (50 - x) = 26

0.25x + 35 - 0.7x = 26

9 = 0.45x

x = 20   →  y = 30

Sort the following expressions by rewriting tham is the table.

Answers

Answer:

Helllllllllllllllllo pls say it back  or ur stupied

Step-by-step explanation:

Stephanie is baking cookies for a party. The recipe calls for 3 cups of flour,
2 cups of milk, and 1 cup of chocolate chips. What percentage of
Stephanie's cookie recipe is chocolate chips? *

Answers

Answer:

2 cups of milk, and 1 cup of chocolate chips. What percentage of

Step-by-step explanation:

If it costs $1.40 per square foot to install the garden, what is the cost for plan A? Plan B?

Answers

please include all the information :)

Answer:

Step-by-step explanation:

I NEED HELP PLEASE

Help please I will Brainly

Answers

Answer:

we have the same computer

Step-by-step explanation:

Answer:

[tex]114\:\mathrm{yd^2}[/tex]

Step-by-step explanation:

The composite shape consist of two rectangles. We can find the area of these two rectangles and add them to get our answer:

[tex]10\cdot9+6\cdot 4= 90+24=\fbox{$114\:\mathrm{yd^2}$}[/tex].

Will mark brainliest!!! Please solve the ones in green using Tran

Answers

Answer: 160.96 and 99.03

Step-by-step explanation:

Number 1:

[tex]tan(61) = \frac{x}{43}[/tex] [tex]tan(61)(43) = x[/tex][tex]160.96 = x[/tex]

Number 2:

[tex]tan(57) = \frac{48}{x}[/tex][tex]tan(57)(x) = 48[/tex][tex]x = \frac{48}{tan(57)}[/tex][tex]x = 99.03[/tex]
here is a picture of the work and the final answers. i hope this helps!

Kelly needs to order lunch for orders 6 people at a business meeting. Her menu choices are chicken salad for a cost of $5 per person and egg salad for a cost of $4 per person. She only has $28 to spend. How many of each type of lunch can she order?

Answers

Answer:

She would be able to buy

4 Chicken Salads &

2 Egg Salads

Step-by-step explanation:

4x5=20

leaving 8 dollars

2x4=8

Answer: she will spend 3 orders of chicken salad, and 3 orders of egg salad the total it will be $27.

Step-by-step explanation:

father's step is 65cm long while his daughter's step 4dm long. they start walking together. when the father has walk 8 step, his daughter has walked... step​

Answers

Answer:

5 steps

Step-by-step explanation:

[tex]65cm \times 8 = 520cm[/tex]

[tex]4dm = 40cm \\ 65 - 40 = 25[/tex]

[tex]25 \times 8 = 200cm \: gap[/tex]

[tex]200 \div 40 = 5[/tex]

Answer:

His daughter has walked 13 steps

Step-by-step explanation:

Unit Conversion

Each step of the father is 65 cm long and each step of his daughter is 4 dm long.

Recalling that 1 dm = 10 cm, then each step of the daughter is 4*10 = 40 cm long.

Now we can compare both measures. When the father has walked 8 steps, this distance is 8*65 = 520 cm, and the daughter has walked 520/40 = 13 steps.

His daughter has walked 13 steps

What is the percent of change from 6 to 9

Answers

Answer is: 50%

pretty easy/simple solution, you could have just looked it up.

5th grade pls help ik my pfp is my face but I look like a different grade

Answers

Answer:

18

Step-by-step explanation:

First, you divide the 10 and the 5, which leaves you with 2. Then you do 15-2+5 from left to right, and it equals 18.

(hope this helps...brainliest??)

List Factors of 27??? (Pls answer I don't wanna waste points)

Answers

Answer:

1, 3, 9, 27

Step-by-step explanation:

Answer:

3*7

3*3*3

3^3

Step-by-step explanation:

.............

Help me pleaseeeeeeeeeeee

Answers

Answer: 990 lb

Step-by-step explanation:

t = (4 x 180) + (3 x 90)

t = 720 + 270 = 990

Solve for x
5x + 2 = 17

Answers

Answer:

r

Step-by-step explanation:

r

Answer:

Step-by-step explanation:

Here you go mate

Step 1

5x+2=17  Equation/Question

Step 2

5x+2=17  Simplify

5x+2=17

Step 3

5x+2=17  Subtract 2

5x=15

Step 4

5x=15  Divide

answer

x=3

Hope this helps

PLEASE HELP AND ANSWER ALL 3

Answers

Answer: 10.) -6 and it's B

11.) A

12.) C

Step-by-step explanation:

Please help it just one question please!!!

Answers

Answer:

-51

Explanation:

[tex]=17\left(-3\right)\\\\=-51[/tex]

Answer:

-51

Step-by-step explanation:

because you add the parenthesis first so 17, and you times that by -3

Please help 30 points

Answers

Answer:

The total surface area is 973.89 ft

Step-by-step explanation:

The formula for the surface area of a cylinder is A=2πrh+2πr2.

The top cylinder has a radius of 5 ft, and height of 2 ft.

The bottom cylinder has a radius of 10 ft, and a height of 2 ft.

Plug in the numbers for each and you get:

Top Cylinder:

A=2π(5)(2)+2π(5^2)

A=2π(10)+2π(25)

A= 62.83185307 + 157.079327

A= 219.9111801

A≈ 219.91

Bottom Cylinder:

A= 2π(10)(2)+2π(10^2)

A= 2π(20)+2π(100)

A= 125.6637061 +  628.3185307

A= 753.9822368

A≈ 753.98

Combined:

753.98 + 219.91 = 973.89

help I'm confused there are many formulas, and do not know which one is right​

Answers

9514 1404 393

Answer:

  384 cm²

Step-by-step explanation:

It is always a good idea to take a look at what you have and what you are being asked before you go launching into formulas. Then you can pick the formula(s) appropriate to your needs.

__

Your pyramid has a square base, so four (4) triangular faces. The area being asked for is the total of the areas of the square base and those triangular faces.

The formula for the area of a square is ...

  A = s² . . . . . where s represents the side length

Here, the side of the square is 12 cm, so the area of the square base will be ...

  A = (12 cm)² = 144 cm²

__

The formula for the area of a triangle is ...

  A = 1/2bh . . . . . where b is the base length and h is the altitude

In this problem, you're not given the altitude of the triangular face (also called the "slant height" of the triangle). Instead, you're given the height of the pyramid. So, you have to determine the slant height.

Consider the cross section you get when you cut the pyramid with a vertical plane through the peak and the middle of opposite sides. It will be an isosceles triangle with a base equal to the side length of the pyramid, and side lengths equal to the slant height of the pyramid face. See the attachment for an idea of what this looks like.

In order to determine the length of the side of that cross-section triangle, draw its altitude. That is the 8 cm height of the pyramid. Then use the Pythagorean theorem to find the hypotenuse of the right triangle with legs 6 cm and 8 cm:

  slant height = √(8² +6²) = √100 = 10 . . . . cm

Now, we can find the area of one of the four triangular faces:

  A = (1/2)(12 cm)(10 cm) = 60 cm²

__

The surface area of the pyramid is then ...

  surface area = base area + 4 × triangular face area

  surface area = 144 cm² + 4 × 60 cm² = (144 +240) cm²

  surface area = 384 cm²

Brenda collected this data from an experiment.
Hours of Sunlight (t) 3 5 7 9 11 13
Height in inches (h) 2.3 3.3 3.9 6.1 7.0 8.4
For the line of fit h = 0.6t + 0.44, what is the residual (difference) of the data point at ???? = 7?

Answers

Given:

The data table of an experiment.

Equation of best fit line is

[tex]h=0.6t+0.44[/tex]

To find:

The residual (difference) of the data point at t = 7.

Solution:

From the given table, it is clear that the value of h is 3.9 at t =7.

So, observed value is 3.9.

Equation of best fit line is

[tex]h=0.6t+0.44[/tex]

Putting t = 7, we get

[tex]h=0.6(7)+0.44[/tex]

[tex]h=4.2+0.44[/tex]

[tex]h=4.64[/tex]

So, the estimated value is 4.64.

Residual formula:

Residual = Observed value - Estimated value

              = [tex]3.9-4.64[/tex]

              = [tex]-0.74[/tex]

Therefore, the residual value of the data point at t = 7 is -0.74.

y = 5x - 10
Can you solve for x

Answers

Answer:

[tex]x = \frac{1}{5}y + 2[/tex]     or       [tex]x = \frac{y+10}{5}[/tex]     (Not sure which one is preferred in your case)

Step-by-step explanation:

Key skills needed: Evaluating expressions

1) We are given: [tex]y = 5x-10[/tex]

2) To solve for the x variable, we want to leave the term with "x" by itself.

This means we add 10 to both sides

--> [tex]y + 10 = 5x[/tex] (Since -10 and +10 cancel out to make 0 or nothing)

3) Then we divide by 5 on both sides to get "x" completely by itself.

-----> [tex]\frac{y+10}{5} = x[/tex]

4) You can keep it as is so --> [tex]x = \frac{y + 10}{5}[/tex]

or you can divide "y" by 5 and "10" by 5 and get --> [tex]x = \frac{1}{5} y + 2[/tex]

(I am not sure which form is preferred one is preferred as the teacher matters)

Hope you understood and have a nice day!!

Use the slope-intercept form to find the slope and y-intercept.
Tap for more steps...
Slope:
5
5
y-intercept:

10
-
10
Any line can be graphed using two points. Select two
x
x
values, and plug them into the equation to find the corresponding
y
y
values.

Help please. How to calculate it? That is the answer of last one ?

Answers

Answer:

60

Step-by-step explanation:

Shoes= 10

Human= 5

Cone= 4

10+5= 15 x 4= 60

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