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bogdanovich [222]
3 years ago
12

Solve for v. 14 − 10v + 11 = 20v + 5(–7v − 11) v =

Mathematics
2 answers:
AlexFokin [52]3 years ago
7 0

Answer:

v = -16

Step-by-step explanation:

<u>→Distribute the 5 to (-7v - 11):</u>

14 - 10v + 11 = 20v - 35v - 55

<u>→Add like terms:</u>

25 - 10v = -15v - 55

<u>→Add 15v to both sides:</u>

25 + 5v = -55

<u>→Subtract 25 from both sides:</u>

5v = -80

<u>→Divide both sides by 5:</u>

v = -16

Svetllana [295]3 years ago
3 0

Answer:

\boxed{v =  - 16}

Step-by-step explanation:

=  > 14 - 10v + 11 = 20v + 5( - 7v - 11) \\  \\  =  > 14  + 11 - 10v = 20v + (5 \times ( - 7v)) - (5 \times 11) \\  \\  =  > 25 - 10v = 20v - 35v - 55 \\  \\  =  > 25 - 10v =  - 15v - 55 \\  \\  =  > 25  - 10v + 15v =  - 55 \\  \\  =  > 25  + 5v =  - 55 \\  \\  =  > 5v =  - 55 - 25 \\  \\  =  > 5v =  - 80 \\  \\  =  > v =  -  \frac{80}{5}  \\  \\  =  > v =  - 16

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You are an assistant director of the alumni association at a local university. You attend a presentation given by the university
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Answer:

(0.102, -0.062)

Step-by-step explanation:

sample size in 2018 = n1 = 216

sample size in 2017 = n2 = 200

number of people who went for another degree in 2018 = x1 = 54

number of people who went for another degree in 2017 = x2 = 46

p1 = x1/n1 = 0.25

p2 = x2/n2 = 0.23

At 95% confidence level, z critical = 1.96

now we have to solve for the confidence interval =

<h2> p1 -p2 ± z*\sqrt{((1-p1)*p1)/n1 + ((1-p2)*p2/n2}</h2>

0.25 -0.23 ± 1.96*\sqrt{((1 - 0.25) * 0.25)/216 + ((1 - 0.23) *0.23/200}

= 0.02 ± 1.96 * 0.042

= 0.02 + 0.082 = <u>0.102</u>

= 0.02 - 0.082 = <u>-0.062</u>

<u>There is 95% confidence that there is a difference that lies between  - 0.062 and 0.102 on the proportion of students who continued their education in the years, 2017 and 2018.</u>

<u></u>

<u>There is no significant difference between the two.</u>

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3 years ago
If a time series plot exhibits a horizontal pattern, then
gogolik [260]

Answer: C. there is still not enough evidence to conclude that the time series is stationary.

Step-by-step explanation: First thing to note for a time series plot is that it is required to select a suitable forecast method for the data set being considered.

A stationary time series means that the process generating the data set has a constant mean and the variations are constant over time. This means all evidence is present leading to the conclusion that the entire time series is stationary. A stationary time series thus exhibits an horizontal pattern which enables an appropriate forecast method to be selected for this type of pattern.

A horizontal pattern of a time series plot indicates that a data set fluctuates around a constant mean for a period of time. This period of time may however not be the entire time of the time series or take the entire data set into consideration and might just be a reflection of a portion of the time series hence why it can not be explicitly considered to be stationary. This means that a horizontal pattern can change into a seasonal or trending pattern if more variables/data are added over time.

For instance, a manufacturer sells a certain amount of products over a 10 week period and the resulting pattern of a time series plot is horizontal, then from the 11th week to the 15th week he gets a sharp and continuous increase in sales. This change in level will therefore change the time series plot from horizontal to trending making it more difficult to select a suitable forecast method.

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3 years ago
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Goshia [24]
I’m pretty sure A is true <3
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2 years ago
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Answer:

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Let's convert 3/5 to decimal form:

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Expand parentheses:

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Add -3 to both sides:

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Hope this helps!

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