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nignag [31]
3 years ago
5

The equation of a linear function in point-slope form is y – y1 = m(x – x1). Harold correctly wrote the equation y = 3(x – 7) us

ing a point and the slope. Which point did Harold use? When Harold wrote his equation, the point he used was (7, 3). When Harold wrote his equation, the point he used was (0, 7). When Harold wrote his equation, the point he used was (7, 0). When Harold wrote his equation, the point he used was (3, 7).
Mathematics
2 answers:
xz_007 [3.2K]3 years ago
8 0

For this case we must find the point that Harold used to arrive at the following equation:

y = 3 (x-7)

Starting from the fact that the equation of the point-slope form of a line is given by:

(y-y_ {1}) = m (x-x_ {1})

If we compare the standard equation with Harold's, we see that the slope of the line is m = 3.

In addition, it is observed that x_ {1} = 7and y_ {1} = 0.

Then, the correct option is: Harold used the point (7,0)

ANswer:

When Harold wrote his equation, the point was used (7,0).

Kamila [148]3 years ago
8 0

Answer:

c

Step-by-step explanation:

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Thepotemich [5.8K]

Answer:

-38, 62, -100

Step-by-step explanation:

I think you meant  a +24,  not the -24.

The recursive formula is   a_n = a_(n-2)  -  a_(n-1)

so. we try this 3 times after the -24 term

a_3 = -4 =  2 - 6 =   a_1 - a_2

...

a_6  = a_4 - a_5 = 10 - (-14) = 24

a_7 = a_5 - a_6 = -14 - (24) = -38

a_8 = a_6 - a_7 = 24 - (-38)  = 62

a_9 = a_7 - a_8 =  -38 - 62 = -100

a_10 = a_8 - a_9 = 62 - (-100) = 162

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3 years ago
Suppose that 20% of the subscribers of a cable television company watch the shopping channel at least once a week. The cable com
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Answer:

4.01% probability that the cable company will keep the shopping channel.

Step-by-step explanation:

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However, we are working with samples that are considerably big. So i am going to aproximate this binomial distribution to the normal.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

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The standard deviation of the binomial distribution is:

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Normal probability distribution

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In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

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In this problem, we have that:

n = 100, p = 0.20

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E(X) = 100*0.20 = 20

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The cable company has decided to keep the shopping channel if the sample proportion is greater than 0.27. What is the approximate probability that the cable company will keep the shopping channel, even though the true proportion who watch it is only 0.20?

This probability is 1 subtracted by the pvalue of Z when X = 0.27*100 = 27. So

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