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2 years ago

What is the product of (5^-1)(5^-3)

Mathematics

2 answers:

brilliants [131]2 years ago

7 0

Answer:

0.0016

Step-by-step explanation:

=1/5^1 =1/5^3

=0.2 =0.008

0.2 x 0.008

=0.0016

Pavlova-9 [17]2 years ago

6 0

Answer: The product is 5^-4 or 0.0016 (decimal)

Step-by-step explanation:

Hi, to solve this we have to apply the product rule, that says that if we multiply two powers that have the same base, the exponents can be added.

So, mathematically speaking:

(5^-1 )(5 ^-3) = 5 ^-4

Or, the decimal expression by solving:

5^-4= 0.0016

Feel free to ask for more if it´s necessary or if you did not understand something.

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2 years ago

A local country club has a membership of 600 and operates facilities that include an 18-hole championship golf course and 12 ten

shusha [124]

Answer:

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Step-by-step explanation:

I am going to solve this question using the events as Venn sets.

I am going to say that:

Event A: Uses the golf courses.

Event B: Uses the tennis courts.

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This means that $P(A \cup B) = 1 - 0.05 = 0.95$

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This means, respectively, by:

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$P(A \cap B) = 0.75 + 0.5 - 0.95 = 0.3$

What is the probability that the member uses the golf course but not the tennis courts?

This is $P(A - B)$ , which is given by:

$P(A - B) = P(A) - P(A \cap B)$

$P(A - B) = 0.75 - 0.3 = 0.45$

0.45 = 45% probability that the member uses the golf course but not the tennis courts

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2 years ago