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padilas [110]
3 years ago
14

How do i find out what is 5% of 30

Mathematics
2 answers:
defon3 years ago
3 0

Answer: 1.5

Step-by-step explanation: To find 5% of 30, first write 5% as a decimal by moving the decimal point 2 places to the right to get <em>.</em>05.

Next, the word "of" means multiply, so we have (.05)(30) which is 1<em>.</em>5.

So 5% of 30 is 1<em>.</em>5.

IgorLugansk [536]3 years ago
3 0

Answer:

1.5

Step-by-step explanation:

To solve, you put (5%) in the calculator, then (30) next to it, and the calculator gives you your answer. I think that's the easiest way to do it.

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If x^2+1/x^2=3 find the value of x^2/(x^2+1)^2<br> Express answer as a common fraction.<br> Thanks!!
timama [110]

x^2+\dfrac1{x^2}=3\implies x^4+1=3x^2\implies x^4-3x^2+1=0

By the quadratic formula,

x^2=\dfrac{3\pm\sqrt5}2\implies x^2+1=\dfrac{5\pm\sqrt5}2

Then

(x^2+1)^2=\dfrac{25\pm10\sqrt5+5}4=\dfrac{15\pm5\sqrt5}2

\implies\dfrac{x^2}{(x^2+1)^2}=\dfrac{\frac{3\pm\sqrt5}2}{\frac{15\pm5\sqrt5}2}=\dfrac{3\pm\sqrt5}{15\pm5\sqrt5}

Multiply numerator and denominator by the denominator's conjugate:

\dfrac{3\pm\sqrt5}{15\pm5\sqrt5}\cdot\dfrac{15\mp5\sqrt5}{15\mp5\sqrt5}=\dfrac{45\pm15\sqrt5\mp15\sqrt5-25}{15^2-(5\sqrt5)^2}=\dfrac{20}{100}=\dfrac15

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3 years ago
What is the inverse function of g(x)=1/x-2
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Assuming it's g(x)=\dfrac{1}{x-2}

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Tina is placing 30 roses and 42 tulips in vases for table decorations in her restaurant. Each vase will hold the same number of
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the answer is x = 6

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The offices of​ president, vice​ president, secretary, and treasurer for an environmental club will be filled from a pool of 15c
Alexus [3.1K]

Answer:

a) 5.13% probability that all of the offices are filled by members of the debate​ team

b) 2.56% probability that none of the offices are filled by members of the debate​ team

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

The order in which the people are chosen is important, since the first person is the president, the second is the vice president and so on... So we use the permutations formula to solve this question.

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

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

​(a) What is the probability that all of the offices are filled by members of the debate​ team?​

Desired outcomes:

4(president, vice​ president, secretary, and treasurer) offices from a set of 8(candidates of the members debate team).

So

D = P_{(8,4)} = \frac{8!}{(8-4)!} = 1680

Total outcomes:

4 offices from a set of 15 candidates.

T = P_{(15,4)} = \frac{15!}{(15-4)!} = 32760

Probability:

P = \frac{D}{T} = \frac{1680}{32760} = 0.0513

5.13% probability that all of the offices are filled by members of the debate​ team

(b) What is the probability that none of the offices are filled by members of the debate​ team?

Desired outcomes:

4(president, vice​ president, secretary, and treasurer) offices from a set of 7(candidates who are not of the members debate team).

D = P_{(7,4)} = \frac{7!}{(7-4)!} = 840

Total outcomes:

4 offices from a set of 15 candidates.

T = P_{(15,4)} = \frac{15!}{(15-4)!} = 32760

Probability:

P = \frac{D}{T} = \frac{840}{32760} = 0.0256

2.56% probability that none of the offices are filled by members of the debate​ team

7 0
3 years ago
the distance between two cities on a map is 13cm.What is the actual distance between the cities if the map is drawn at a scale o
Flura [38]

13 divide by 2 and answer is 6.5 try once

8 0
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