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3 years ago

Natural Numbers

Mathematics

1 answer:

damaskus [11]3 years ago

6 0

Answer:

The first two is 3

The first three is 6

The first four is 10

The first five is 15

The first six is 21

I don't know the last one lol

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The opposite of 5x and 5x+8?

lara31 [8.8K]

the opposite or addictive increase of 5x is -5x.

the opposite or addictive increase of 5x + 8 is -5x -8.

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3 years ago

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Factor: x2 - 11x + 30

Nonamiya [84]

Ask which two numbers add up to -11 and multiply to 30?

That would be; -6 and -5

Rewrite the expression using what you have above;

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What is the simplified expression for,

Nostrana [21]

Here are a few rules you need to know for this equation:

Multiplying exponents of the same base: $x^m\times x^n=x^{m+n}$
Dividing exponents of the same base: $\frac{x^m}{x^n}=x^{m-n}$
Turning a negative exponent to a positive one: $x^{-m}=\frac{1}{x^m};\frac{1}{x^{-m}}=x^m$

So this is our algebraic expression: $\frac{3^{-4}\times 2^3\times 3^2}{2^4\times 3^{-3}}$

Firstly, multiply 3^-4 and 3^2: $\frac{3^{-4+2}\times 2^3}{2^4\times 3^{-3}}=\frac{3^{-2}\times 2^3}{2^4\times 3^{-3}}$

Next, divide:

$\frac{3^{-2}\times 2^3}{2^4\times 3^{-3}}=3^{-2-(-3)}2^{3-4}=3^12^{-1}$

Next, turn the negative exponent into a positive one: $3^12^{-1}= \frac{3}{2}$

<u>Your final answer is 3/2, or 1.5.</u>

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3 years ago

If P(A)=0.43 and P(B)=0.09, find P(A and B). Round your answer to the nearest hundredth.

AleksAgata [21]

Answer:

0.04 to the nearest hundredth.

Step-by-step explanation:

P(A and B)

= P(A ∩ B

= P(A) * P(B)

= 0.43 * 0.09

= 0.0387.

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Let y1, y2,... , yn denote a random sample of size n from a population with a uniform distribution on the interval (0,theta). le

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Step-by-step explanation:

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