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3 years ago

6 is added a number x.then the result is multiplied by 9. the final answer is greater than 99

Mathematics

1 answer:

drek231 [11]3 years ago

6 0

So this inequality is going to be written as 9(x + 6) > 99

Firstly, you want to foil 9(x + 6), which will look like this: 9x + 54 > 99

Next, subtract 54 on both sides of the equation: 9x > 45

Lastly, divide both sides by 9, and your answer will be x > 5

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Answer:

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Step-by-step explanation:

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3 years ago

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Among 6 electrical components exactly one is known not to function properly. If 2 components are randomly selected, find the pro

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Answer:

66.67% probability that all selected components function properly

Step-by-step explanation:

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

The order in which the components are chosen is not important. So we use the combinations formula to solve this question.

Combinations formula:

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

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

In this question:

Desired outcomes:

2 components which function properly, from a set of 5. So

$D = C_{5,2} = \frac{5!}{2!(5-2)!} = 10$

Total outcomes:

2 components, from a set of 6. So

$T = C_{6,2} = \frac{6!}{2!(6-2)!} = 15$

Probability:

$p = \frac{D}{T} = \frac{10}{15} = 0.6667$

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3 years ago

On the blue prints for a house, 2 inches represents 3 feet. If the width of a room on

lisabon 2012 [21]

Answer:

The actual width would be 9.75 feet. (I think).

Step-by-step explanation:

If two inches represents three feet, then two inches also represents thirty-six inches. You would then have to set up the proportion $\frac{2}{36} = \frac{6.5}{x}$ . Solving that proportion would get you an answer of 117 inches, equal to 9.75 feet. I hope this helps! :)