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tino4ka555 [31]
3 years ago
7

Please help #6 asap

Mathematics
2 answers:
EleoNora [17]3 years ago
7 0

Answer:

c is the answer for number 6 and

Step-by-step explanation:

and b is the answer for number 7

earnstyle [38]3 years ago
3 0

Answer:

#6 is A, the accountant's hourly rate of $55 per hour. #7 is B, $80

Step-by-step explanation:

The slope represents an hourly rate because unlike the standard fee or the tax amount, the slope is always what is growing in the problem. Since she is paid by the hour, the graph would have to have different points for each our. I figured this out by going to where the point for 1 hour meets the line and seeing how much has been added to the original $80. For B, the starting point is $80. I figured this out by seeing that the original fee to complete a tax return is $80, there is no way that the accountant would be payed any less for a tax return.

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Wilton drives a taxicab. He charges $40 per hour. One passenger gave Wilton a tip of $30. He gave Wilton a total of $150. He is
Sveta_85 [38]
(a) 40 x d =120
(b)40 x 3=120      120 + 30=150
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3 years ago
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Which values, when placed in the box, would result in a system of equations with no solution? Check all that apply.
son4ous [18]

For this case we have the following system of equations:

y = -2x + 4\\6x + 3y =

Rewriting equation 1 we have:

2x + y = 4

Therefore, the equivalent system is:

2x + y = 4\\6x + 3y =

The system will have no solution, if we write equation 2 as a linear combination of equation 1.

Therefore, since both lines have the same slope, they are parallel.

Parallel lines do not intersect when they have different cut points.

Therefore, there is no solution for:

-12, -4, 0, 4

The system has inifinites solutions for:

12

This is because the lines intersect at all points in the domain.

Answer:

The values, when placed in the box, would result in a system of equations with no solution are:

A: -12

B: -4

C: 0

D: 4

8 0
3 years ago
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Which is the equation of the line with slope 5 that contains point (-2, -3)?
AlekseyPX

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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
riadik2000 [5.3K]

Answer:

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

Step-by-step explanation:

For each subscriber, there are only two possible outcomes. Either they watch the shopping channel at least once a week, or they do not. This means that we can solve this problem using the binomial probability distribution.

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:

E(X) = np

The standard deviation of the binomial distribution is:

\sqrt{V(X)} = \sqrt{np(1-p)}

Normal probability distribution

Problems of normally distributed samples can be solved using the z-score formula.

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.

When we are approximating a binomial distribution to a normal one, we have that \mu = E(X), \sigma = \sqrt{V(X)}.

In this problem, we have that:

n = 100, p = 0.20

So

E(X) = 100*0.20 = 20

\sqrt{V(X)} = \sqrt{100*0.20*0.80} = 4

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

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

Z = \frac{27 - 20}{4}

Z = 1.75

Z = 1.75 has a pvalue of 0.9599.

So there is a 1-0.9599 = 0.0401 = 4.01% probability that the cable company will keep the shopping channel.

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3 years ago
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nignag [31]

Answer:

less likely

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Probability is between 0 and 1 so 1 is guaranteed to happen and 0 is guaranteed to not happen

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