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3 years ago

Choose the correct simplification of the expression a2 ⋅ a3. a a6 a5 a−1

Mathematics

2 answers:

KatRina [158]3 years ago

5 0

Answer:the answer would be a^5 I just took the test and got it right!

alina1380 [7]3 years ago

3 0

Answer: The correct option is (C) $a^5.$

Step-by-step explanation: We are given to choose the correct simplification for the following expression :

$P=a^2.a^3~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)$

We will be using the following property of exponents :

$x^a.x^b=x^{a+b}.$

So, the simplification of expression (i) is as follows :

$P\\\\=a^2.a^3\\\\=a^{2+3}\\\\=a^5.$

Thus, the correct simplification of the given expression is $a^5.$

Option (C) is CORRECT.

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4 years ago

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3 years ago

Assume that a procedure yields a binomial distribution with a trial repeated n times. Use the binomial probability formula to fi

Keith_Richards [23]

Answer:

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Step-by-step explanation:

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

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$n = 30, p = 0.2$

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$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

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3 years ago