1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
SCORPION-xisa [38]
3 years ago
11

A student wanted to find the sum of all the even numbers from 1 to 100. He said:

Mathematics
1 answer:
murzikaleks [220]3 years ago
3 0

Answer:

The statements are incorrect as: The sum of even numbers from 1 to 100(i.e. 2550) is not double\twice of the sum of odd numbers from 1 to 100(i.e. 2500).

Step-by-step explanation:

We know that sum of an Arithmetic Progression(A.P.) is given by:

where 'n' denotes the "number" of digits whose sum is to be determined, 'a' denotes the first digit of the series and '' denote last digit of the series.

Now the sum of even numbers i.e. 2+4+6+8+....+100 is given by the use of sum of the arithmetic progression since the series is an A.P. with a common difference of 2.

image with explanation

Hence, sum of even numbers from 1 to 100 is 2550.

Also the series of odd numbers is an A.P. with a common difference of 2.

sum of odd numbers from 1 to 100 is given by: 1+3+5+....+99

.

Hence, the sum of all the odd numbers from 1 to 100 is 2500.

Clearly the sum of even numbers from 1 to 100(i.e. 2550) is not double of the sum of odd numbers from 1 to 100(i.e. 2500).

Hence the statement is incorrect.

Step-by-step explanation:

You might be interested in
Can anyone solve this?
Serhud [2]

Answer:

A) 96 cm

Step-by-step explanation:

Split into three parallelograms

Shape 1: 6 by 7     6×7=42

Shape 2: 3 by 4    3×4=12

Shape 3: 6 by 7    6×7=42

42+12+42=96

6 0
2 years ago
Read 2 more answers
HELP HURRY WILL GIVE BRAINLIEST
rusak2 [61]

Answer:

That's all you're doing is writing the equation for two lines and finding out where they intersect. The slope is how much the price is increasing or decreasing and the y-intercept is where the price is starting at.

x = number of hours

y = mx + b = 0.12(x + 3) + 15.21     {It's (x + 3) because we have to add the 3 hours between 9 and noon}

y = mx + b = -0.11x + 15.96       {The slope is negative because the price is decreasing}

Set them equal to each other

0.12(x+3) + 15.21 = -0.11x + 15.96

Now solve for x

0.12x + 0.36 + 15.21 = -0.11x + 15.96

0.12x + 15.57 = -0.11x + 15.96

0.12x + 0.11x = 15.96 - 15.57

0.23x = 0.39

x = 0.38 / 0.23 = 1.7 hours

Convert 0.7 into minutes

0.7 hours * (60 min / 1 hour) = 42 min

So the prices are the same 1 hour and 42 min after noon, which is 1:42 PM

Step-by-step explanation:

3 0
2 years ago
The weight of a specific type of male monkey is normally distributed with a mean of 15 pounds and a standard deviation of 3 poun
Viktor [21]

Answer:

1.33

Step-by-step explanation:

The z-score of a value is found by subtracting the mean from the value and then dividing by the standard deviation, this is the formula for the z-score.

z-score = (19-15)/3

z-score = 4/3

z-score = 1.33

The z-score for the monkey is about 1.33

7 0
3 years ago
PLEASE ANSWER ASAP. WILL GIVE BRAINLIEST
Eduardwww [97]

Answer:

I cant see that, its upside down.

Step-by-step explanation:

3 0
3 years ago
During the first decade of the century, the population of a certain city was 145,380 in 2000 and 219,135 in 2010. Find the expon
Likurg_2 [28]

Answer:

The exponential growth function is P=145380e^{0.04103t}

Step-by-step explanation:

Given: The population of a certain city was 145,380 in 2000 and 219,135 in 2010.

To find: exponential growth function that models the growth of the city

Solution:

The exponential growth function is given by P=P_0 e^{kt}

Here, P denotes total population after time t

P_0 denotes initial population

k denotes rate of growth

t denotes time

As P(0)=145,380,

145380=P_0e^{0}\\145380=P_0\\P=145380e^{kt}

As P(10)=219135

219135=145380e^{10k}\\e^{10k}=\frac{219135}{145380}\\=1.507326\\k=\frac{1}{10}\ln (1.507326)\\=0.04103\\\Rightarrow P=145380e^{0.04103t}

8 0
2 years ago
Other questions:
  • To the nearest hundred,what is the greatest whole number that rounds to the 2,500?the least whole number
    6·1 answer
  • I'm in algebra please help and explain with work
    10·1 answer
  • What is 7/8- 3/4 subtracting unlike denominators
    9·2 answers
  • Suppose g(x) = 2^x and h(x) = x^2. Which is greater, g(15) or h(15)?
    9·1 answer
  • Samantha had 8 balloons. Jacob has 1/2 as many. How many does Jacob have?
    10·2 answers
  • What is the rate of change of the line on the graph below?
    10·2 answers
  • Find all missing angles​
    7·1 answer
  • Look at this graph: 100 90 70 60 50 40 30 20 10 0 30 50 60 70 What is the slope? Simplify your answer and write it as a proper f
    7·2 answers
  • The domain and f^1(x)
    15·1 answer
  • You are told that in a sample of size 225 the mean is 48. 5 and the standard deviation is 1. 8. The study is reported with 90% c
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!