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oksano4ka [1.4K]
1 year ago
9

Find the sum of the first 5,000 odd numbers

Mathematics
1 answer:
Nata [24]1 year ago
4 0

Step-by-step explanation:

this is an arithmetic sequence :

a1 = 1

an = an-1 + 2 = a1 + (n-1)×2

the sum of n terms of an arithmetic sequence is

S = n×(a1 + an)/2

n = 5000

an = a1 + 4999×2 = 9999

S = 5000×(1 + 9999)/2 = 5000×5000 = 25,000,000

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Is the distance a baseball travels in the air after being hit a discrete random​ variable, a continuous random​ variable, or not
LuckyWell [14K]

Answer: a continuous random​ variable

Step-by-step explanation:

<u><em>Can you count the distance it traveled?</em></u> You can't, so it couldn't be discrete because you can count discrete variables.

<u><em>Can you measure the distance it traveled? </em></u>You sure can, that makes it a continuous random variable.

<u><em>Do you know the exact distance it's going to travel?</em></u><u> </u>You won't, therefore it's a random variable since you don't know the value beforehand.

5 0
2 years ago
Using the properties of absolute values, simplify the expression x×|x|, if it is known that:
Westkost [7]

Answer:

  • x ≥ 0: x|x| = x²
  • x < 0: x|x| = -x²

Step-by-step explanation:

<u>For x ≥ 0</u>

  |x| = x

so

  x|x| = x(x) = x²

<u>For x < 0</u>

  |x| = -x

so

  x|x| = x(-x) = -x²

7 0
3 years ago
The longest human power sporting event is the tour de France cycling race in a particular year the average speed for the winner
sergey [27]

Answer:

The winner completed the race in 96 hours and 52 minutes.

Step-by-step explanation:

Given:

Distance of the cycling race = 2292 miles

Average speed of the winner = 23.66\  mph

We need to find time required by winner to complete the race.

Solution:

Now we know that;

Time required can be calculated by dividing Total Distance from the Average speed.

framing in equation form we get;

time required by winner to complete the race = \frac{2292}{23.66} = 96.87\ hrs

Now converting 0.87\ hrs into minutes we get;

0.87\times 60= 52.2\approx 52\ mins

Hence the winner completed the race in 96 hours and 52 minutes.

3 0
2 years ago
Find the perimeter of a rectangle with a length of 12 feet and a width of 6 feet.
jeka57 [31]
Perimeter= 2 ( length + width)
2×(12+6)
2×18
=36
3 0
3 years ago
What is the slope of the line containing(-3,5) and (6,-1)
GaryK [48]

\frac{5 - (-1)}{-3-6} = \frac{6}{-9} = \frac{2}{-3} = -0.6666

slope = -0.6666

4 0
3 years ago
Read 2 more answers
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