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?

Answers

Answer 1

Answer:

600 calories

Step-by-step explanation:

John has consumed 1600 calories out of which he has burned off 400. So the total calories for the day so far are:

1600-400

=1200 calories

He has to keep the count of calories upto 1800 per day and the consumed calories so far are 1200

So he needs to burn:

= 1800 - 1200

= 600 calories

He has to consume 600 calories more..

Hence 1000 is not a viable solution to the problem as the remaining count of calories that need to be consumed are 600 ..

Answer 2

Answer:

The Answer is A.

Step-by-step explanation:

Hope this helps!


Related Questions

find standard deviation, o, for the binomial distribution which has the stated values of n and p. round your answer to the nearest hundredth. n =503: p=0.7

Answers

Answer:

Step-by-step explanation:

N=503

P=0.7

Sqrt(503×0.7(1-0.7))=10.28

The standard deviation, for the binomial distribution, is 10.28 which has the stated values of n and p; n =503: p=0.7.

What is the standard deviation?

It is defined as the measure of data disbursement, It gives an idea about how much the data is spread out.

[tex]\rm \sigma = \sqrt{\dfrac{ \sum (x_i-X)}{n}[/tex]

σ is the standard deviation

xi is each value from the data set

X is the mean of the data set

n is the number of observations in the data set.

We have:

The value of n = 503

The value of p = 0.7

For the binomial distribution:

As we know,

The formula for the standard deviation:

σ = √[p(1 - p)n]

Plug the values of p, and n, we get:

σ = √[0.7(1 - 0.7)503]

σ = √[0.7(0.3)503]

σ = √[0.21x503]

σ = √[105.63]

σ = 10.277 ≈ 10.28

Thus, the standard deviation, for the binomial distribution is 10.28 which has the stated values of n and p; n =503: p=0.7.

Learn more about the standard deviation here:

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what is Midsegment of a Triangle Theorem

Answers

Answer: The Midsegment Theorem states that the segment connecting the midpoints of two sides of a triangle is parallel to the third side and half as long.

Step-by-step explanation:

a man spent 58% of his income and the amount of money left was $210. Find his income​

Answers

Answer:

500 $

Step-by-step explanation:

[tex]\frac{42\%}{210}=\frac{100\%}{x}[/tex]

[tex]\frac{\frac{21}{50}}{210}=\frac{1}{x}[/tex]

[tex]\frac{21}{50}x=210\\[/tex]

[tex]\frac{21}{50}x\cdot \:50=210\cdot \:50\\[/tex]

x=500

<3

Red

If you put cold water in a cup and then put the same temperature water in it would it get colder or would it stay the same temperature?

Answers

It would stay the same temperature because both are the same your just adding more water into the cup it would be a different answer if the water being added was colder or warmer than the water in the cup.

Write the slope intercept form of the equation of the line through the given point with the given slope.

1) through: (3,4), slope = 2


2) through: (5,-5), slope=-6/5

Answers

Answer:

1) y = 2x-2

2) y = -6/5+1

Step-by-step explanation:

how many centiliters are in 3 quarts?

Answers

Answer:

283-284

The real answer is like 283.906

Determine whether each equation represents a proportional relationship.
y = 3 + x
Proportional Relationship
Not a Proportional Relationship
y = 1.6%
y = 3/(4x)
y = x
y = 12x
y = 2x + 1

Answers

Answer:

Proportional Relationship: I  Not a Proportional Relationship:

y=1.6x                                  I   y=3/(4x)

y=x                                      I   y=2x+1

y=12x .                                 I   y=3+x

Explanation:

I took the test and that's how i got these answers.

I dont understand do I multiply four to get the area?

Answers

Answer:

yes

Step-by-step explanation:

3×5×45=365m²

Answer:

yes

Step-by-step explanation:

Jody and Mark are using the spinner shown for a probability experiments they spend the spinner on the left if they spin A2 or A3 then they spin the spinner on the right which organized list showing all the possible outcomes for ​

Answers

Answer:

2 and 4

3 and 4

2 and 5

3 and 5

2 and 6

3 and 6

Suppose tan(b) = –2, and the terminal side of b is located in quadrant II. What is cot(b)?

Answers

Answer:

- 1/2

Step-by-step explanation:

Just took the test

The value of cot (b) using trigonometry is -1/2 when tan b = -2.

Since we are given that tan(b) = -2 and the terminal side of angle b is in quadrant II, determine the value of cot(b).

In quadrant II, the sine and cosine values are positive, while the tangent and cotangent values are negative.

Given:

tan(b) = -2

The cotangent (cot) of an angle is the reciprocal of the tangent:

cot(b) = 1 / tan(b)

Now, substituting the given value of tan(b):

cot(b) = 1 / (-2)

cot(b) = -1/2

So, the value of cot(b) is -1/2.

Learn more about Trigonometry here:

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Answers

Answer:

;)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))

Step-by-step explanation:

yes yes do the ;))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))

what percenr of 60 is 15

Answers

Answer:

9%

Step-by-step explanation:15% of 60 is 9%

Answer:

25%

Step-by-step explanation:

Plzz do correctly also worth a lot of points

Answers

Answer:

I believe the Answer is B

I'm really sorry if this is wrong.

Step-by-step explanation:

I tried my best :)

find the value of x. The answer is 53, but I need to show my work.

THANK YOU!!!

Answers

Answer:

53

Step-by-step explanation:

so first sutract the large angle from 360:

360 - 213 = 147

then subtract the other large known angle:

147 - 107 = 40

now we know the x - 13 = 40 so to find x we just have to add 13:

40 + 13 = 53

The answer to the question is 53.


Round the numbers to estimate the quotient.
29 1/5 divided by 4 6/7
Which numbers should be used?
____divided by____
The estimated quotient is:

Answers

Answer:

29.2 divided by 4.9 = 6.0

Step-by-step explanation:

29.2 divided by 4.9 = 5.95918367

5.95918367 → 6.0

Key:

→ = rounded to the nearest tenth

Answer:

29 ÷ 5 the estimated quotient is 5 4/5

Step-by-step explanation:

I took the test (;

7 x 10 PowerPoint 6.

Answers

Answer:

420

Step-by-step explanation:

7 x 10^6 = 7 x 60 = 420

Answer:

7000000

Step-by-step explanation:

10^6 = 1000000

1000000 x 7

find the perimeter of the figure below composed of a rectangle and a semi circle round to the nearest tenths place

Answers

Given parameters:

We have two shapes, the rectangle and semi circle;

   The problem is to find the perimeter of the shape given

The perimeter of a body is the total length of the body.

 Here, it is the sum of the perimeter of the rectangle and semi-circle.

Note, to remove repetition, we to deduct 6 which is a common point to both of them.

Perimeter of a semi-circle = Circumference of semi- circle

                                            = πr² x [tex]\frac{1}{2}[/tex]

         The diameter here is 6 and radius is 3;

        Circumference of semi-circle = π x 3² x [tex]\frac{1}{2}[/tex]  = 14.14

Perimeter of rectangle = 2(6+8) = 28

The perimeter of the figure = 14.14 + 28 - 6 = 36.1

The perimeter of the figure is 36.1

Jennifer and Jacob took 3h5min to decorate the Christmas tree.they took 1h55min longer to decorate the Christmas tree than to wrap the present.what is the total time they took to decorate the Christmas tree and wrap the present?

Answers

Answer:

5 hours

Step-by-step explanation:

3h5min+1h55min=5hours

Answer:

3+1=4

55+5=60

60 minutes make an hour

=5

Step-by-step explanation:

Find the linear function with the following properties.

f(−4)=6
Slope of f=−6

Answers

Given:

f(−4)=6

Slope of f=−6

To find:

The linear function with the given properties.

Solution:

We have,

f(−4)=6

It means, the value of linear function is 6 at x=-4. So, the linear function passes through the point (-4,6).

Slope of f=−6

The point slope form of a linear function is

[tex]y-y_1=m(x-x_1)[/tex]

where, m is slope of the linear function.

On substituting the values, we get

[tex]y-6=(-6)(x-(-4))[/tex]

[tex]y-6=-6(x+4)[/tex]

[tex]y-6=-6x-24[/tex]

Add 6 on both sides.

[tex]y-6+6=-6x-24+6[/tex]

[tex]y=-6x-18[/tex]

The function form of this linear equation is

[tex]f(x)=-6x-18[/tex]

Therefore, the required function is [tex]f(x)=-6x-18[/tex].

A lady decides she wants to start saving more money so she can buy a house. So, she decides to trick herself into saving by creating a challenge for herself. She bought a box of 100 envelopes and wrote the numbers 1-100 on separate envelopes. Twice a week, she drew two envelopes at random and put the corresponding amount of cash inside. (So, if she drew envelope 23, she put $23 inside). How much will she save? How long will it take her to fill all the envelopes?

Answers

Answer:

she should at least have $1,150 in at least 575 weeks

Step-by-step explanation:

What is the perimeter of a hexagon with a side length of 31cm?

Answers

Answer:

186cm im pretty sure

Step-by-step explanation:

Answer:

The perimeter is 186 centimeters.

Step-by-step explanation:

The perimeter is the combination of all the side lengths of a figure. So, to figure this one out, it would be:

31 + 31 + 31 + 31 + 31 + 31

Or in simpler terms:

31 times 6.

All you need to do is multiply, and the answer comes out to 186cm

Which ratio is equivalent to 3:7?
A 6:7
B 3:21
C 24:56
D 15:30

Answers

Answer:

c

Step-by-step explanation:

Answer:

C. 24:56

Step-by-step explanation:

3/7 * 8/8

3*8 = 24

7*8 = 56

24/56

A family spends $540 every month on food. If the family's income each month is $1800, what percent of the family's income is spent on food?

Answers

Answer:

1,260

Step-by-step explanation:

This is if you subtract those numbers up you would get 1,260

. Steve drove for 812 hours at 72 miles per hour. How much distance did he travel?

Answers

Answer:

58464

Step-by-step explanation:

Multiply the two numbers

Answer:

If Steve drives for 812 hours at 72 miles per hour, he drives 58,464 miles in total.(Side Note: if you mean 8 1/2 hours then it's 612 miles

Step-by-step explanation:

To find distance dealing with time and speed, we can use the formula d=rt.

D= Distance

R= Speed

T= Time

Now we plug in our values! D=72 × 812 and we get D= 58,464 miles or if you meant 8 1/2 hours, then it's 612 miles

Hope this helps! :)

What value of x makes the following equation true?

4 + 3x = 106

Answers

Answer:

34

Step-by-step explanation:

Step 1:

4 + 3x = 106        Equation

Step 2:

3x = 102      Subtract 4 on both sides

Step 3:

x = 102 ÷ 3     Divide

Answer:

x = 34

Hope This Helps :)

Can you conclude with a high degree of confidence that the population means for Iowa and New Jersey students are​ different? A. Because of the extremely low p​-value, we cannot reject the null hypothesis with a very high degree of confidence.​ Hence, the population means for Iowa and New Jersey students are not different. B. Because of the extremely high p​-value, we can reject the null hypothesis with a very high degree of confidence.​ Hence, the population means for Iowa and New Jersey students are different. C. Because of the extremely low p​-value, we can reject the null hypothesis with a very high degree of confidence.​ Hence, the population means for Iowa and New Jersey students are different. D. Because of the extremely high p​-value, we cannot reject the null hypothesis with a very high degree of confidence.​ Hence, the population means for Iowa and New Jersey students are not different.

Answers

Complete Question

The complete question is  shown on the first uploaded image

Answer:

Option A is correct

Step-by-step explanation:

From the question we are told that  

  The  95% confidence interval of the mean  score of all  New Jersey third graders  is  (58.957 ,  63.043)

   The sample size is  n =  184

   The sample average is  [tex]\mu = 65 \ points[/tex]

   The standard deviation is   [tex]\sigma  =  13 \ points[/tex]

    The  90%  confidence interval for the difference in mean score between lowa and New Jersey is  (-6.33 ,  -1.67 )

   The  p-value is  [tex]p-value  =  0.0048[/tex]

Generally given that the p-values is very low compared to the level of significance (100 -90 =  10% = 0.10 )  we can reject the null hypothesis which is usually a  claim that the means of the  population are the same )

Hence the population means are different .

How many pounds of a 15% copper alloy must be mixed with 700lb of a 30% copper alloy to maybe a 25.5% copper alloy

Answers

Answer:

[tex]300\; \rm lb[/tex].

Step-by-step explanation:

Let [tex]x[/tex] represent the mass (in pounds) of that [tex]15\%[/tex] copper alloy required, such that the final mixture would contain [tex]25.5\%[/tex] copper by mass.

Consider: if [tex]x[/tex] pounds of that [tex]15\%[/tex] copper alloy is mixed with [tex]700[/tex] pounds that [tex]30\%[/tex] copper alloy, what would be the mass of copper in the mixture?

Mass of copper in [tex]x[/tex] pounds of that [tex]15\%[/tex] copper alloy: [tex](0.15\, x)\; \rm lb[/tex].Mass of copper in [tex]700[/tex] pounds of that [tex]30\%[/tex] copper alloy: [tex]700 \times 0.30 = 210\; \rm lb[/tex].

Therefore, the mixture would contain [tex](210 + 0.15\, x) \; \rm lb[/tex] of copper.

The mass of that mixture would be [tex](700 + x)\; \rm lb[/tex]. The mass fraction of copper in that mixture would be:

[tex]\displaystyle \frac{(210 + 0.15\, x)\; \rm lb}{(700 + x)\; \rm lb} \times 100\%[/tex].

This ratio is supposed to be equal to [tex]25.5\%[/tex]. These two pieces of equations combine to give an equation about [tex]x[/tex]:

[tex]\displaystyle \frac{(210 + 0.15\, x)\; \rm lb}{(700 + x)\; \rm lb} \times 100\% = 25.5\%[/tex].

[tex]\displaystyle \frac{210 + 0.15\, x}{700 + x} = 0.255[/tex].

Simplify and solve for [tex]x[/tex]:

[tex]210 + 0.15\, x= 0.255\, (700 + x)[/tex].

[tex](0.255 - 0.15)\, x= 210 - 0.255 \times 700[/tex].

[tex]\displaystyle x = \frac{210 - 0.255 \times 700}{0.255 - 0.15} = 300[/tex].

Therefore, [tex]300\; \rm lb[/tex] of that [tex]15\%[/tex] alloy would be required.

What makes a function

Answers

A function is a expression that defines a relationship between one variable and another variable

Answer:

a relation of X to Y, if one element from X is equal to one element from Y.

Step-by-step explanation:

a function in which one thing from X is equal to one thing from Y...

Is it geometric or arithmetic? Why

Answers

Answer: It is Geometric.

Step-by-step explanation: Because it does not have a fixed pattern that adds or subtract which arithmetic does.

A SURVEY OF 1,000 PEOPLE WAS DONE BY NEW YORK TIMES. 90% OF THE PEOPLE
DID NOT KNOW THE NAME OF THEIR REPRESENTATIVE IN CONGRESS. HOW MANY
OF THE 1,000 PEOPLE KNEW THE NAME OF THE CONGRESSMAN?
Step by step explains I need to show my work !

Answers

Answer:

100 people

Step-by-step explanation:

first we gotta find 90% of 1000 to do that we multiply 1,000×90% or 1000×0.90 (same thing)

this equals 900 so 900 people don't know the name of their rep in congress subtract 1000-900 thus 100 ppl know there rep in congress

Answer:

100 people did know they're representative

Step-by-step explanation:

You just have to scale up the problem for example 10% of 100 is 10 but 10% of 1,000 is 100(If you need me to be more clear please let me know)

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