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-BARSIC- [3]
3 years ago
14

Legend has it that the great mathematician Carl Friedrich Gauss(1777-1855) at a very young age was told by his teacher to find t

he sum of the first 100 counting numbers. While his classmates toiled at the problem, Carl simply wrote down a single number and handed the correct number to his teacher. The young Carl explained that he observed that there were 50 pairs of numbers that each added up to 101. So the sum of all the numbers must be 50*101=5050. 1+2+3+.....+355=
Mathematics
1 answer:
Dima020 [189]3 years ago
4 0

Answer:

6292007867 call

Step-by-step explanation:

You might be interested in
a triangle has a base that is 3 times longer than its height. it has a area of 486 sq cm. what is the base and height
saw5 [17]
B = 3h . . . . . . . .given by the problem statement
A = (1/2)bh . . . . formula for the area of a triangle

486 cm² = (1/2)*(3h)*h . . . substitute given information
(2/3)*486 cm² = h² . . . . . .multiply by 2/3
√324 cm = h . . . . . . . . . . . . . .take the square root

The height is 18 cm.
The base is 3*18 = 54 cm.
6 0
3 years ago
The nth term of a sequence is 3n+5<br> write down the 5th and 6th terms of the sequence
QveST [7]

Answer:

5th term: 20

6th term: 23

Step-by-step explanation:

T5=3n+5

T5=3(5)+5

T5=15+5

T5=20.

T6=3n+5

T6=3(6)+5

T6=18+5

T6=23

T5= 20

T6= 23

6 0
3 years ago
What is the area of a square with a length of 5 inches?
OlgaM077 [116]

Answer:

25

Step-by-step explanation:

<em><u>Formula</u></em>

Generally the formula is written as Area = side * side which is

<em><u>Givens</u></em>

side = s = 5

<em><u>Solution</u></em>

Area = 5 * 5

Area = 25 square inches.

7 0
3 years ago
In December 2004, a report based on the National Survey on Drug Use and Health estimated that 20% of all Americans aged 16 to 20
o-na [289]

Answer:

542

Step-by-step explanation:

We are required to find the sample size at 98% confidence interval in this question

E = 0.04

P* = 20% = 0.20

n = p* x (1-p)(Zα/2÷E)²

α = 1 - 0.98

= 0.02

To get Critical value

= 0.02/2 = 0.01

The critical value at 0.01 is 2.33

Inserting values into formula:

O.2 x 0.8(2.33/0.04)²

= 0.8 x 0.2 x 58.25²

= 542.89

The value of n must be an integer therefore the answer is 542.

4 0
3 years ago
Sylvia had a small box. She filled it with 64 triangle pattern blocks. She said "The volume of this box is 64 cubic units." Do y
Advocard [28]

Answer:

I do not agree with Sylvia

Step-by-step explanation:

Given

1 small box

64 triangle pattern blocks

Required

Is she right?

From the question, we understand that she fills the box with 64 blocks.

For the fact that she did this; it does not mean that the volume of the small box is 64 cubic units (even if she filled the box completely and the triangle pattern blocks are identical)

The reason for this is that, the volume of each box may not be 1 cubic unit.

So, first she needs to determine the volume of each pattern block, then multiply by 64. If the result is 64, then the volume of the box is 64 cubic units.

Since, it is not stated, we will not make any assumptions.

<em>Hence, I do not agree with Sylvia.</em>

4 0
3 years ago
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