For whole numbers between 1 and 1001, inclusive, let m be the sum of odd numbers and n be the sum of even numbers. What is the value of m−n?

Answers

Answer 1

Answer:

m - n = 501

Step-by-step explanation:

Remark

The first thing you have to do is find the number of odd and even numbers. This is where you have to be careful because there is a danger of being out by one.

equation

l = a + (n - 1)*d

Solution even

l = 1000

a = 2

d = 2

1000 = 2 + (n - 1)*2

998/2 = (n - 1) * 2 / 2

499 =  n - 1

n = 500

Solution odd

l = 1001

a = 1

d = 2

1001 = 1 + (n - 1)*2

1000 =  (n - 1)*2

1000/2 =  (n - 1)2/2

500 =  n - 1

501 = n

Sum Even of even numbers from 1 to 1001

Givens

a = 2

n = 500

l = 1000

Equation

Sum = (a + l ) * n / 2

Solution

Sum = (2 + 1000)*500/2

Sum = 1002 * 250

Sum = 250500

Sum of Odd numbers from 1 to 1001

a = 1

l = 1001

n = 501

Equation

sum = (a + l)*n/2

sum = (1 + 1001) * 501

sum = (1002)*501 / 2

Sum =  251001

Answer

m - n = 251001 - 250500 = 501


Related Questions

For large parties, a restaurant charges a reservation fee of $30, plus $20 per person. The total charge for a party of x people is f(x) = 20x + 30. How will the graph of this function change if the reservation fee is raised to $65 and the per-person charge is lowered to $12?

Answers

30 20$ minutes later I was going there and then go back and forth with the kids to go back and forth and 65$12$ to go back and get a table for

A florist uses 7 red roses for every 4 white roses in her bouquets. Select the ratio of white roses to red roses. Please select 3 answers. 4 : 7
4 to 7
7 to 4
4/7
7/4
7 : 4

Answers

Answer:

Step-by-step explanation:

7 red roses

4 white roses

the answer would be 4 to 7, 4/7, and 4:7

I hope this helps!

Please help very urgent

Answers

Answer:

330 degrees

Step-by-step explanation:

look at 4th quadrant of unit circle

(cos,sin)

(sqrt3/2,-1/2)=330

According to the Insurance Institute for Highway Safety, the national rate for 16-year-old males was 210 accidents for every 1000 drivers (21%) during the year 2000. In a large city in the Midwest, a random sample of 150 16-year-old male drivers found that 25 of them had been in an accident during the year 2000. Does this city have a lower proportion of accidents by 16-year-old male drivers than the national proportion?

Answers

Answer:

Yes.  The city has a lower proportion of accidents by 16-year-old male drivers than the national proportion (16.7% compared to 21%).

Step-by-step explanation:

a) Data and Calculations:

Number of 16-year-old males involved in driver accident during year 2000 = 210

Sample number of drivers = 1,000

National rate of accidents for 16-year-old males for every 1,000 drivers = 21% (210/1,000 * 100)

Random sample of 16-year-old male drivers in a Midwest city = 150

Number of them involved in driver-accidents = 25

Proportion of 16-year-old males involved in driver-accidents = 25/150 * 100 = 16.7%

The city's 16.7% proportion is lower than the national proportion of 21%.

diameter 32 inches what is the raidus

Answers

Radius equals to diameter dived by 2

Don't you times by a thousand then times the answer
I got 60,000

Answers

Answer:

i think that's right

Step-by-step explanation:

What percent of 315 of 126.

Answers

Answer:

396.9

Step-by-step explanation:

Answer:

40

Step-by-step explanation:

126/315

126/315×100/100=40/100

40

4) If the area of a triangle is
72 square feet and the base is 12 feet, what is the height?
Help ASAP

Answers

Answer:

The height is 12 feet.

Step-by-step explanation:

The formula for area of a triangle is 1/2 ⋅ b (base) ⋅ h (height).

Now let's plug in the numbers.

According to the word problem, the base is 12 feet.

As of now, our equation is: 1/2 ⋅ 12 ⋅ h

The only number times 1/2 that would give you an answer of 72 is 144.

12⋅12 = 144.

This means the height is 12.

And, 1/2 ⋅ 12 ⋅ 12 ⋅ = 72.

Because the area of the triangle is 72, 72 is the number we are looking for.

Therefore, the height is 12.

I really hope this made sense, it was a bit rushed.

Many freeways have service (or logo) signs that give information on attractions, camping, lodging, food, and gas services prior to off-ramps. These signs typically do not provide information on distances. The article Evaluation of Adding Distance Information to Freeway-Specific Service (Logo) Signs (J. of Transp. Engr., 2011; 78-888) reported that in one investigation, six sites along Virginia interstate high ways where service signs are posted were selected. For each site, crash data was obtained for a three-year period before distance information was added to the service signs and for a one-year period afterward. The number of crashes per year before and after the sign changes were as follows:
Before: 15 26 66 115 62 64
After: 16 24 42 80 78 73
The cited article included the statement A paired t test was performed to determine whether there was any change in the mean number of crashes before and after the addition of distance information on the signs. Carry out such a test. [Note: The relevant normal probability plot shows a substantial linear pattern.] a seventh site were to be randomly selected among bearing service signs, between what values predict the difference in number of crashes to lie?

Answers

Answer:

H0 : μd = 0

H1 : μd ≠ 0

Test statistic = 0.6687 ;

Pvalue = 0.7482 ;

Fail to reject H0.

Step-by-step explanation:

H0 : μd = 0

H1 : μd ≠ 0

Given the data:

Before: 15 26 66 115 62 64

After: 16 24 42 80 78 73

Difference = -1 2 24 35 -18 -9

Mean difference, d ; Σd / n

d = Σx / n = ((-1) + 2 + 24 + 35 + (-18) + (-9))

d = Σx / n = 33 / 6 = 5.5

Test statistic = (d / std / sqrt(n))

std = sample standard deviation = 20.146

Test statistic = 5.5 ÷ (20.146/sqrt(6))

Test statistic = 0.6687

The Pvalue :

P(Z < 0.6687) = 0.7482

At α = 0.05

Pvalue > α ; Hence we fail to reject H0

The data does not suggest a significant mean difference in the average number of accidents after information was added to road signs.

True or False: When conducting a survey of a group of people, you must interview every person in that population.

Answers

The answer to this is true

Which of the following ordered pairs does not lie on the graph of y=log_(2)^x? (1/2, -1) (0, 1) (1, 0)

Answers

Answer:

(0,1)

Step-by-step explanation:

I put it in desmos :)

Answer:

0,1

Step-by-step explanation:

A chord that is 24 cm long is 4 cm closer to the center of a circle than a chord that is 20 cm long. What is the radius of the circle?

Answers

Answer:

(mkkwkskskwkwskskwkwi

PLEASE HELP!
In 2-3 sentences describe why the only way an infinite geometric series has a sum is if |r| < 1.

Answers

the term r^n will equal to zero because and number < 1 that is raise to the power infinity the answer is zero that is why in a infinite geometric series, sum = a / 1 - r.
hope this helps

I have been stuck on the problem for so long. please help me:
What is the value of y in the solution set of the system of linear equations shown below?
y= -x + 12
4x - 2y = 36

A- 10
B- 8
C- 6
D- 2

Answers

Answer:

D-2

Step-by-step explanation:

You can use elimination to get the value of y. Move numbers to one side and x and ys to the other side. To use elimination, multiply the first equation with 2. You will get 2x+2y=24. add it with the equation below. y will be eliminated and you will get the value of x. X=10. Plug in x and get the y value. Y=2

What is 0.36 written as a rational number?

Answers

Answer:

If you mean what is the square root of 36, then the answer is 6.

6 × 6 = 36.

Remeber sqaure root means what two numbers multplied together equal another number. It is irrational when the number doesn't repeat or terminate.

Hope this helps!!

Somebody please help me!!!

Answers

Answer:

(-1,6) is where the point would be.

Just a reflection across the y axis.

Answer:

(-6, 1)

Step-by-step explanation:

I rotate 270 degrees means to turn 90 degrees clockwise 3 times, If You rotate once it is in the +x, -y rotate again -x, -y, and the last time is -x +y. Please give brainliest if this is helpful. Sorry if this is confusing :)

The other person did a 180 degrees rotation instead of 270

.15 x (4.3 - 2.417 )

Answers

Answer: .15 x 1.883 = 0.28245

Answer:

28.24500

Step-by-step explanation:

Find the median for the numbers Below
20 22 24 26

Answers

The median is going to be 23.

The median to this answer would be 23

Help due 30 mins....

Answers

X equals to 55+x=180, x=125

write the log equation as an exponential equation

Answers

Given:

The equation is:

[tex]\log_{(x-2)}(x^2-4x-6)=\dfrac{4}{5}[/tex]

To find:

The exponential equation of the given logarithmic equation.

Solution:

We have,

[tex]\log_{(x-2)}(x^2-4x-6)=\dfrac{4}{5}[/tex]

According to property of logarithm,

[tex]\log_ax=b\Leftrightarrow x=a^b[/tex]

Using the property of logarithm, we get

[tex]x^2-4x-6=(x-2)^{\frac{4}{5}}[/tex]

Therefore, the required exponential equation is [tex]x^2-4x-6=(x-2)^{\frac{4}{5}}[/tex].

a box of 8 marbles has 4 red,2 green and 2 blue marbles. If you select one marble, what is the probability that it is a red or blue marble

Answers

your answer should be 0.80

please help me out, im taking a test. ill give brainliest

Answers

Answer: you are cheating :(?

So I won't help u sorry

Step-by-step explanation:

Question Help
Fund A sells for $15 a share and has a 3-year average annual return of $0.25 a share. The beta value is 1.07.
Fund B sells for $17 a share and has a 3-year average annual return of $0.91 a share. The beta value is 0.77.
Jonquin wants to spend no more than $3600 investing in these two funds, but he wants to obtain at least $80
in annual revenue. Jonquin also wants to minimize the risk. Determine the number of shares of each fund that
Jonquin should buy.
Set up the linear programming problem. Let a represent the number of shares in Fund A, b represent the
number of shares in Fund B, and z represent the total beta value.
Minimize
z=0
subject to
15a + 17b
0.25a +0.91b
a 20, b20.
(Use integers or decimals for any numbers in the expressions. Do not include the $ symbol in your answers.)

Answers

Answer:

sana all may jowa jowain na kita

The histogram below shows the number of push-ups the students in Hayley's class can do.



Select all of the true statements about the data.

The majority of students can do more than 15 push-ups.
The data distribution is skewed to the right.
More students did 6-10 push-ups than 11-15 push-ups.
The students in Hayley's class can do between 1 and 25 push-ups.
The data distribution is skewed to the left.

Answers

Statements 1, 4, and 5 are true.

Convert the angle 2π/3 radians to degrees.

Answers

Answer:

2π/3 radians is equal to 120°.

Step-by-step explanation:

In this problem, we need to convert the angle 2π/3 radians to degrees.

The relation radian and degree is given by :

[tex]D=\dfrac{180}{\pi}\times R[/tex]

Substitute all the values,

[tex]D=\dfrac{180}{\pi}\times \dfrac{2\pi }{3}\\\\D=120^{\circ}[/tex]

So, 2π/3 radians is equal to 120°.

How are you today? Have you had anything to eat? What's ur fav color? I'm just here to talk. I hope everyone has been staying safe! ​

Answers

Good. What about you, bro? Actually am fasting cuz it’s Ramadan

Answer:

How are you today?

im good

Have you had anything to eat?

hot pocket

What's ur fav color?

Blue and Black

I'm just here to talk. I hope everyone has been staying safe! ​

Step-by-step explanation:

Please help!!

Dont put any link or put any random answer or you will be reported

Answers

Answer:

5

Step-by-step explanation:

3,4,4,5,5,5,5,7,7

If you cross equally on both sides them the median is 5

please help!! will give brainliest ASAP

Answers

Answer:

c = 36.06

Step-by-step explanation:

a² + b² = c²

20² + 30² = c²

400 + 900 = c²

c² = 1300

[tex]\sqrt{c^2} =\sqrt{1300}[/tex]

c = 36.06

Ms. McClain conducted an experiment

with a 6-sided number cube. The table

shows the number of times each number

landed:

(I'll give brainlist)

Answers

Answer:  1

Step-by-step explanation:

Experimental probability is the actual result you get from an experement.

Theoretical probability is the change that you will get that result.

(for example: flipping a coin, the Theoretical probability is 50/50 but after testing the Experimental probability might be 47/53)

therefore,

1/6 is the Theoretical probability because you are using a six-sided number cube.

for the Theoretical probability and the Experimental probability to be the same, the fraction of the roll must equal 1/6.

1/6 equals 8/48.

therefore, since the numbers 1 and 6 were both rolled 8 times out of 48 they are consistant with the Theoretical probability of 1/6.

6 is not one of the answer choices listed so 1 must be your answer.

 

Can someone please help me find the area of the figure.

Answers

Answer:

area = 41 ft²

Step-by-step explanation:

area = (3x3) + (4x8) = 41 ft²

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