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rusak2 [61]
4 years ago
6

Write each sum using summation notation. 1+ 2 + 3 + 4 + ⋯ + 1000

Mathematics
1 answer:
AVprozaik [17]4 years ago
7 0

Answer:

\sum_{k=1}^{1000} k

Step-by-step explanation:

You have to use the summation notation formula:

\sum_{k}^{n} f(k) = f(1) + f(2) +...+f(n)

where k is the starting number, n is the ending number and f(k) is the function or the expression to be added.

In this case, you have the sum of the integer numbers from 1 to 1000. Therefore, k=1 and n=1000.

Now, you have to obtain the function f(k) which is the representation of the expression needed to obtain the correct result of the sum.

f(k=1) = 1

f(k=2)=2

f(k=3)=3 ...

You can notice that the value of k corresponds to te value of f(k) therefore f(k) = k

Replacing the values of k, n and f(k) in the formula:

\sum_{k=1}^{1000} k = 1+2+3+4+...+1000

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The Camel : 2.0 meters
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3 years ago
What is the volume, in cubic centimeters, of this cylinder? Please use 3.14 for π.
Korvikt [17]
Volume of a cylinder = πr²h

Here, r = 12/2 = 6
h = 27

Substitute the values, 
v = 3.14 * 6² * 27
v = 3052.08 cm³

In short, Your Answer would be Option D

Hope this helps!
8 0
3 years ago
According to government data, the probability that an adult was never in a museum is 15%. In a random survey of 10 adults, what
leonid [27]

Answer: 0.8202

Step-by-step explanation:

Probability an adult was never in a museum = probability of success = p = 15% = 0.15

To find probability that 2 or fewer of the 10 samples selected were never in a museum is given by:

P(X=2) or P(X=1) or P(X=0).

Where

P(X=r) = nCr * p^r * q^n-r

and n=10, p =0.15, q=0.85

When r = 2

P(X=2) = 10C2 * 0.15² * 0.85^8 = 0.2759

When r = 1

P(X=1) = 10C1 * 0.15 * 0.85^9 = 0.3474

When r = 0

P(X=0)= 10C0 * 0.15^0 * 0.85^10 = 0.1969

Hence probability of having 2 or fewer adults who never visited the museum = 0.1969 + 0.3474+ 0.2759 = 0.8202

6 0
4 years ago
Which is true about this division problem? Select all
worty [1.4K]

Answer:

45 does not go into 285 evenly

The quotient contains a repeating decimal

The quotient is 6.3

Step-by-step explanation:

285/45 = 6.33333333

6.33333333 = 6.3

3 0
4 years ago
Read 2 more answers
The distance by rail from Leicester to Londonis 100 miles.
Zarrin [17]

The arrival time in london of a train that leaves Leicester to london at 11:50 A.M is 13:05 pm.

To calculate the arrival time in london of a train that leaves Leicester to london at 11:50 A.M, use use the formula below.

Formula:

  • Ta = [(d/s)+11:50]....... Equation 1

Where:

  • Ta = Arrival time
  • d = distance from Leicester to London
  • s = Speed

From the question,

Given:

  • d = 100 miles
  • s = 80 mph

Substitute these values into equation 1

  • Ta = [(100/80)+11:50]
  • Ta = 1.25h+11:50
  • Ta = 1 hours 15 minutes +11:50
  • Ta = 13:05 pm

Hence, the arrival time in london of a train that leaves Leicester to london at 11:50 A.M is 13:05 pm.

Learn more about time here: brainly.com/question/4931057

5 0
2 years ago
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