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

Ivan and Tanya share £150 in the ratio 4:1
Work out how much more Ivan gets compared to Tanya.
How much more does Ivan get?

Answers

Ivan=£120 &
Tanya=£30

At Burnt Mesa Pueblo, archaeological studies have used the method of tree-ring dating in an effort to determine when prehistoric people lived in the pueblo. Wood from several excavations gave a mean of (year) 1246 with a standard deviation of 42 years. The distribution of dates was more or less mound-shaped and symmetric about the mean. Use the empirical rule to estimate the following:

a. a range of years centered about the mean in which about 68% of the data (tree-ring dates) will be found between _______and _____ A.D.
b. a range of years centered about the mean in Which about Of the data (tree-ring dates) will be found between______ and ________ A.D.
c. a range of years centered about the mean in Which almost all the data (tree-ring dates) Will be found between_____ and A.D.

Answers

Answer:

(1204 ; 1288) ;

(1162 ; 1330) ;

(1120 ; 1372)

Step-by-step explanation:

Given that:

Mean, m = 1246 years

Standard deviation, s = 42 years

68% is within one standard deviation the mean ;

Therefore 68% equals ;

mean ± 1(standard deviation)

(1246 - 1(42)) ; (1246 + 1(42))

1204 ; 1288

B) b. a range of years centered 95% about the mean in Which about Of the data (tree-ring dates) will be found between______ and ________ A.D.

95% is within two standard deviation of the mean ;

Therefore 95% equals ;

mean ± 2(standard deviation)

(1246 - 2(42)) ; (1246 + 2(42)

(1246 - 84) ; (1246 + 84)

(1162 ; 1330)

c. a range of years centered about the mean in Which almost all the data (tree-ring dates) Will be found between_____ and A.D.

About 99.7% which is within 3 standard deviations of the mean

99.7% is within 3 standard deviations of the mean ;

Therefore ;

mean ± 3(standard deviation)

(1246 - 3(42)) ; (1246 + 3(42))

(1120 ; 1372)

5 time 6 is 30 but what is 5 time 123456789

Answers

Answer:

617283945?

Step-by-step explanation:

Answer:

617283945

Step-by-step explanation:

Simple: Use a Calculator

Then: Add an Answer

Which of the following statements are true of the graph of the function f(x)= (x+5)(x-3).
1.) The graph has a relative minimum
2.)The graph has a relative maximum
3.)The graph has an x-intercept at (5,0)
4.)The graph has an x-intercept at (3,0)
5.)The graph has a y-intercept at (0,-15)
6.) The axis of symmetry is x=-2

Answers

Answer:

4 is the correct answer

Step-by-step explanation:

y=(x+5)(x-3)

so x intercept means the value of x when y is zero

0=(x+5)(x-3)

x+5=0 so x=-5

x-3=0 so x=3

8x = 88
I can’t figure this out 10 points if you answer

Answers

Answer:

divide 88 by the number of x

88/8= 11

X = 11

Answer:

x=11

Step-by-step explanation:

8x=88

You use inverse operation which means you would divide 8 on both sides to isolate x on one side resulting in x=11

A rectangle has a length that is three times the width . The perimeter of the rectangle is 40 feet.what is the area of the rectangle

Answers

Answer:

The area is 15 feet

Step-by-step explanation:

So you are going to need two different equations-

l = w(3)

2l + 2w = 40

Insert the first equation into the second-

2(3w) + 2w = 40

Simplify this equation-

6w + 2w = 40

8w = 40

Divide both sides by 5

w = 5

Solve first equation

l = 5(3)

l = 15

Then find the area-

5 x 15 = 75

Pls find this asap I am already late for this pls

Answers

Answer:

Step-by-step explanation:

I'm not sure about number 3, but I have the answer for number. The answer is 1:32.

3: 69

3/69

Then we reduce the fraction to the lowest term

3/69 = 1/32

1:32

Just divide 96/3 and you can see that one bus can hold 32 students

which ratio is equivalent to 4:5

10/15
4/10
16/20
15/8​

Answers

Answer:

16/20

Step-by-step explanation:

16/20 = (4*4)/(4*5) = 4/4*4/5 = 4/5

Answer: 16/20

Explanation: I just know

please help and u get a cookie

Answers

i got x^2+4x-1 and -24
so i would say no

Convert the following angle from degrees, minutes and seconds into decimal degrees.
Round to the nearest hundredth Do NOT include the degree symbol only write the
final number.
78°33'51"

Answers

78.564° is the correct answer. Hope it helps ❤️

Please help me with my homework!!


(btw i choosed A randomly but it doesn't mean it's correct bc it's green it turns green for all all them so don't be confused about that)

Answers

Answer: B

Step-by-step explanation:

12 1/3

what is 3/4 of a full rotation ?????????????????????????????????????????????????????????

Answers

Answer:

270 degrees.

Step-by-step explanation:

A full rotation is equal to 360 degrees. 3/4 * 360 = 270.

The answer is 270 degrees.

Only answer if you're sure its correct!

Answers

Answer:

im sure its D.)

Step-by-step explanation:

I'll give you a Brainly please help me

Answers

Answer:

Step-by-step explanation:

A= (7,-9)

B= ( 6,-12)

On a trip, you had to change your money from dollars to British pounds.
You got 560 pounds for 800 dollars.

Which is a unit rate that describes the exchange?




135 pounds per dollar


0.625 pounds per dollar


137 pounds per dollar


0.7 pound per dollar

Answers

Answer:

0.7 pound per dollar

Step-by-step explanation:

To find the pounds per dollar, divide the number of pounds by the number of dollars:

560/800

= 0.7

So, the unit rate is 0.7 pounds per dollar

Brenda did a survey of the students in her classes about sheathed they liked to get candy bar or a new math pencil as their reward for positive behavior. She asked al 71 students she taught, and 32 said they would like a candy bar, 25 said they wanted a new pencil, and 4 said said they wanted both. If Brenda were to select a student at random from her classes, what is the probability that the student chosen would want:
a) a candy bar or a pencil?
b) neither a candy bar nor a pencil?

Answers

A is the answer bc the of you add and then multiply the all them number it will get you a candy bar or a pencil

If someone can help me with these two points I would really appreciate it. ​

Answers

Answer:

1. nonlinear

2. linear

Step-by-step explanation:

Identify the parts of the expression 4.2m + (8 divided 2) - 6 what is the term of expression

Answers

Answer:

I think the answer is 4.00

The parts of the given expression are constant term is -2 and the other term is 4.2m.

The given expression is 4.2m+(8 divided 2)-6.

What is an expression?

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.

The terms involved in an expression in math are:

Constant: A constant is a fixed numerical value.

Variable: A variable is a symbol that doesn't have a fixed value.

4.2m+(8 divided 2)-6

= 4.2m+8/2 -6

= 4.2m+4-6

= 4.2m-2

Here, the constant term =-2 and the other term is 4.2m

Therefore, the parts of the given expression are constant term is -2 and the other term is 4.2m.

To learn more about an expression visit;

https://brainly.com/question/28170201.

#SPJ5

Determine the perimeter and area plzzzz help​

Answers

Answer:

The perimeter is 220 , the area should be 100 ,

Step-by-step explanation:The perimeter of the square is 40 because it’s all sides added together & they are all even - The perimeter of a circle is always 360 and this is half of a circle so that is a perimeter of 180; you add that to 40=220. The area is two sides multiplied together=100 for the square. You find the area of the half circle by doing the area of a circle divided by 2.

Find the roots of h(t) = (139kt)^2 − 69t + 80
the smaller root is:
the larger root is:

The answers will consist of algebraic expressions containing the parameter k.

What positive value of k will result in exactly one real root?
K = ?

Answers

Answer:

The positive value of [tex]k[/tex] will result in exactly one real root is approximately 0.028.

Step-by-step explanation:

Let [tex]h(t) = 19321\cdot k^{2}\cdot t^{2}-69\cdot t +80[/tex], roots are those values of [tex]t[/tex] so that [tex]h(t) = 0[/tex]. That is:

[tex]19321\cdot k^{2}\cdot t^{2}-69\cdot t + 80=0[/tex] (1)

Roots are determined analytically by the Quadratic Formula:

[tex]t = \frac{69\pm \sqrt{4761-6182720\cdot k^{2} }}{38642}[/tex]

[tex]t = \frac{69}{38642} \pm \sqrt{\frac{4761}{1493204164}-\frac{80\cdot k^{2}}{19321} }[/tex]

The smaller root is [tex]t = \frac{69}{38642} - \sqrt{\frac{4761}{1493204164}-\frac{80\cdot k^{2}}{19321} }[/tex], and the larger root is [tex]t = \frac{69}{38642} + \sqrt{\frac{4761}{1493204164}-\frac{80\cdot k^{2}}{19321} }[/tex].

[tex]h(t) = 19321\cdot k^{2}\cdot t^{2}-69\cdot t +80[/tex] has one real root when [tex]\frac{4761}{1493204164}-\frac{80\cdot k^{2}}{19321} = 0[/tex]. Then, we solve the discriminant for [tex]k[/tex]:

[tex]\frac{80\cdot k^{2}}{19321} = \frac{4761}{1493204164}[/tex]

[tex]k \approx \pm 0.028[/tex]

The positive value of [tex]k[/tex] will result in exactly one real root is approximately 0.028.

A toy company is releasing a new catapult for water balloons that launches them at 9.8 meters per second from a stand 0.6 meters tall. The function f(x) = −4.9x2 + 9.8x + 0.6 describes the path of the water balloon, where x is the amount of time since the launch.

While the mathematical range is y ≤ 5.5, how does the reasonable range compare?
The reasonable range is limited to y ≥ 0.
The reasonable range is limited to y ≥ 0.6.
The reasonable range is limited to 0 ≤ y ≤ 5.5.
The reasonable range is limited to 0.6 ≤ y ≤ 5.5.

Answers

Answer: The answer is D

Step-by-step explanation: got it form edge

Answer:

its the 3rd option actually The reasonable range is limited to 0 ≤ y ≤ 5.5.

Step-by-step explanation:

edge

What is the amount of tax on a pair of shoes that cost $75.00, if the tax rate is 9%

Answers

Answer: The tax would be $6.75.

The tax would be $6.75...
Take $75 and multiply by.09

pls help u dont have to explain that much​

Answers

Answer:

k = -7

Step-by-step explanation:

Given

x² - x - 42 = (x + k)(x + 6)

Required

Find k

x² - x - 42 = (x + k)(x + 6)

Expand the left hand side

x²-7x + 6x - 42 = (x + k)(x+ 6)

Factorize

x(x - 7) + 6(x- 7) = (x + k)(x+ 6)

Further factorize

(x - 7)(x + 6) = (x + k)(x + 6)

By comparison

x + k = x - 7

Subtract x from both sides

k = -7

here’s the other one

Answers

Answer:

it is A

Step-by-step explanation:

Which fraction and decimal forms match the long division problem? 15) 8.000 75. 50 45, 50 45 5 O A. 8 and 0.53 15 O B. 8 15 and 0.53 O C. 15 8 and 0.53 O D. 15 8 and 0.533​

Answers

Answer: The answer is A

Step-by-step explanation:

There are 3 boys for every 4 girls in the library. If there is 91 people in the library
a) How many boys are there in the library?

b) How many girls are there in the library?

Answers

Answer:

8

Step-by-step explanation:

Answer:

52 girls and 39 boys (multiply each by 13)

Step-by-step explanation:

4 x 13 = 52

3 x 13 = 39

         = 91

Please helppppp.........

Answers

Answer:

x = 6.1

Step-by-step explanation:

Reference angle = 29°

Hypotenuse = 7

Adjacent side = x

Applying trigonometric ration, we would have:

Cos 29 = x/7

Multiply both sides by 7

7*cos 29 = x

6.12233795 = x

x = 6.1 (nearest tenth)

5x - 2y = -15 and 3x + 8y = 37 elimination please

Answers

Answer:

the answer is d i took the quiz

Step-by-step explanation:

What is the answer please explain?

Answers

e is 131 degrees (opposite angles are equal)

360-262=98

98/2 = 49

f and d both equal 49 degrees

what is the answer to this problem? If there are 90 calories in Three-fourths cup of yogurt, how many calories are in 3 cups of yogurt?

A. 30 calories

B. 202 calories

C. 270 calories

D. 360 calories

Answers

Answer: C

Step-by-step explanation:

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