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BARSIC [14]
3 years ago
14

How many ways can we pick three distinct integers from {1, 2, ..., 15} such that their sum is divisible by 3?

Mathematics
1 answer:
gogolik [260]3 years ago
5 0

Answer:

Clearly from 1 to 15 we can only have the sum 6,9,12 and 15 to be divisible by 3.

Now meaning we have 4! ( 4 factorial) which implies 4x3x2x1= 24 .

We have 24 ways to pick distinct integers that are divisible by 3.

Step-by-step explanation:

The first thing you need to do is to look for numbers that are divisible by 3. Then you take its factorial

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Convert the angle measure 40° to a radian measure?
Sophie [7]

Answer:

The answer is

<h2>\frac{2\pi}{9}  \\</h2>

Step-by-step explanation:

To convert an angle from degrees to radians multiply the value by \frac{\pi}{180} .

From the question the value is 40°

It's equivalent in radians is

40 \times  \frac{\pi}{180}   =  \frac{40\pi}{18 0}  =  \frac{2\pi}{9}  \\

We have the final answer as

\frac{2\pi}{9}  \\

Hope this helps you

8 0
3 years ago
HELP PLEASE!!!!!!!!!!!!!!!!!!!!!!
AleksAgata [21]
Your answer would be b.2 

6 0
2 years ago
Read 2 more answers
intro urna sunt 24 de bile albe si 16 bile negre. se extrage la intamplare o bila . probabilitatea ca bila extrasa sa fie alba e
garri49 [273]

Answer:

\frac{3}{5}

Step-by-step explanation:

Given parameters:

Number of white balls  = 24

Number of black balls  = 16

Unknown:

The probability that white ball is drawn at random = ?

Solution:

The probability of an event is the likelihood of such an event to occur. That an event will occur has a probability of 1, it will not occur have a probability of zero.

In this problem, the total number of outcomes of drawing any ball has sample space of (24 + 16)outcomes  = 40outcomes.

Probability of an event  = \frac{number of successful outcome}{sample space}

                  Pr(white balls) = \frac{24}{40}   = \frac{3}{5}

4 0
3 years ago
Is 4,3,2,1 arithmetic or geometric
sesenic [268]

Answer:

Arithmetic

Step-by-step explanation:

A sequence is a set of numbers, called terms, arranged in some particular order. An arithmetic sequence is a sequence with the difference between two consecutive terms constant

8 0
3 years ago
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Solve the inequality 2x - 3 &lt; x 2 ≤ 3x 5. show your work
Digiron [165]
<span>2x − 3 < x + 2  </span>
<span>∴ x − 3 < 2  </span>
<span>∴ x < 5 </span>

<span>x + 2 ≤ 3x + 5 </span>
<span>∴ 2 ≤ 2x + 5 </span>
<span>∴ -3 ≤ 2x </span>
<span>∴ -3/2 ≤ x </span>

<span>-3/2 ≤ x < 5</span>
8 0
3 years ago
Read 2 more answers
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