The sum of 2 composite numbers is never a prime number. Explain your answer.

Mathematics

1 answer:

Natasha2012 [34]4 years ago

5 0

Answer:

Step-by-step explanation:

Composite numbers are positive numbers that have factors, This means that they are divisible by numbers other than 1 and itself provided that number is a factor of the composite number. They possess at the bearest minimum level, a divisor other than 1 and itself. They are a natural number that is expressible as the product of two(or more) numbers other than 1 and itself.

For example:

4 is a composite number because its factors are 1, 2 and 4 which have another divisor apart from 1 and itself (4). That divisor is 2.

We all know that prime numbers are numbers that can be only be divided by 1 and itself.

Therefore, the sum of two composite number, for example:

4 + 6 = 10, We can now see that 10 is never a prime number.

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What is the area of sector ghp

Klio2033 [76]

<h2>Explanation:</h2>

Hello! Remember you have to write complete questions in order to get good and exact answers. Here you haven't provided any sector, so I'll help you in a general way and providing my own example.

A sector is a region of a circle between two radii. Suppose you have a central angle $\theta$ degrees, the sector can be found as:

$s=\frac{\theta}{360}\times\pi r^{2}$

Suppose that the radius of the circle is $4cm$ and the central angle is 90 degrees, therefor the sector is:

$s=\frac{\theta}{360}\times\pi r^{2} \\ \\ s=\frac{90}{360}\times\pi (4)^{2} \\ \\ s=\frac{1}{4}\times 16\pi \\ \\ \boxed{s=4\pi cm^2}$

6 0

3 years ago

The sum of 5 consecutive integers is 505. what is the third number in this sequence?

pantera1 [17]

<u>Answer</u>
101

<u>Explanation</u>
Let the first term of the sequence to be a.

1st term = a
2nd term = a+1
3rd term = a+2
4th term = a+3
5th term =a+4

a+(a+1)+(a+2)+(a+3)+(a+4)=505
5a+10=505
5a=505-10
5a=495
a=99

3rd term = a+2
=99+2
= 101

8 0

4 years ago

Read 2 more answers

Solve 3x2 18x 15 = 0 by completing the square.

iren2701 [21]

3(x^2 + 6x + 5) = 0
3(x^2 + 6x + 9 + 5 - 9) = 0
3(x + 3)^2 + 3(-4) = 0
3(x + 3)^2 - 12 = 0
3(x + 3)^2 = 12
(x + 3)^2 = 4
x + 3 = sqrt(4)
x = -3 + or - 2
x = -3 + 2 or -3 - 2
x = -1 or -5
The correct answer option is option c.

3 0

4 years ago

The random variable X is exponentially distributed, where X represents the time it takes for a person to choose a birthday gift.

garik1379 [7]

Answer:

The probability that X is less than 32 minutes is 0.736.

Step-by-step explanation:

Given : The random variable X is exponentially distributed, where X represents the time it takes for a person to choose a birthday gift. If X has an average value of 24 minutes.

To find : What is the probability that X is less than 32 minutes?

Solution :

If X has an average value of 24 minutes.

i.e. $\lambda=24$