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Rasek [7]
3 years ago
13

Which point lies on the line described by the equation below?

Mathematics
2 answers:
alisha [4.7K]3 years ago
8 0

Answer:

(5, -8)

Step-by-step explanation:

y + 8 = 4(x - 5)

y + 8 = 4x - 20

y = 4x - 28

(5, -8) fits

vova2212 [387]3 years ago
7 0

Answer:

F (5,-8)

Step-by-step explanation:

By rearranging,

y= 4x-28

Substitute each of the x values of the answers, eventually you will get to F and discover that when x = 5, y= -8

y= 4(5) - 28

y= -8

So, when x= 5, y= -8,

Point F is  (5,-8)

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A rectangle has an area of 20 square feet a similar rectangle has an area of 180 square feet what is ratio of the areas of these
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Answer:

The ratio of the areas of the smaller rectangle to the larger rectangle is  \frac{1}{9}

Step-by-step explanation:

we know that

if two figures are similar, then the ratio of its areas is equal to the scale factor squared

Let

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y----> the area of the larger rectangle

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z^{2}=\frac{x}{y}

substitute the values

z^{2}=\frac{20}{180}

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Read 2 more answers
8. A company makes electronic components for TV's. 95% pass final inspection (and 5% fail and need to be fixed). 120 components
Taya2010 [7]

Using the binomial distribution, it is found that the variance of the number that pass inspection in one day is 5.7.

For each component, there are only two possible outcomes, either it passes inspection, or it does not. The probability of a component passing inspections is independent of any other component, hence, the binomial distribution is used to solve this question.

Binomial probability distribution

Probability of <u>exactly x successes on n repeated trials, with p probability</u>, and has variance given by:

V(X) = np(1 - p)

In this problem:

  • 95% pass final inspection, hence p = 0.95
  • 120 components are inspected in one day, hence n = 120.

The variance is given by:

V(X) = np(1 - p) = 120(0.95)(0.05) = 5.7

The variance of the number that pass inspection in one day is 5.7.

To learn more about the binomial distribution, you can take a look at brainly.com/question/24863377

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