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4 years ago

Which of the following correlation values represents a perfect linear relationship between two quantitative

Mathematics

1 answer:

Artist 52 [7]4 years ago

4 0

Answer:

C. -1

D. 1

Step-by-step explanation:

A perfect linear relationship is indicated by a correlation with a magnitude of 1. The sign of the correlation coefficient is the sign of the slope of the line describing the relationship. It may be positive or negative.

The appropriate choices are ...

C. -1

D. 1

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Convert the following fraction to a decimal.

Nookie1986 [14]

I think it’s C but I could be wrong but I don’t think I am

6 0

3 years ago

1) The population of a town was7652in 2016. The population grows at a rate of 1.6%annually.(a)Use the exponential growth model t

marshall27 [118]

Answer:

1. a) population of the town in 2024 = 8697

2.) the earthquake with a magnitude of 8 is a 100 times stronger than an earthquake with a magnitude of 6.

Step-by-step explanation:

1) the population of a town was, $N_{0} = 7652$ in 2016.

a) Exponential growth model is given by $N(t) = N_{0} e^{kt}$ where t is the time in years after 2016.

Year 2016 is when t = 0.

k = growth rate constant = 1.6% = 0.016

i) therefore the population of the town in 2024

= $N = N_{0} e^{kt} = 7652e^{0.016\times8} = 8697$ ( to the nearest whole number)

2.) log (I $\times$ M $\times$ S) = magnitude of earthquake where I is the Intensity of the earthquake and S is the intensity of a standard earthquake

therefore I $\times$ M $\times$ S = $10^{magnitude\hspace{0.1cm}of\hspace{0.1cm}earthquake}$

therefore $\frac{strength\hspace{0.1cm}of\hspace{0.1cm}earthquake\hspace{0.1cm}1 }{strength\hspace{0.1cm}of\hspace{0.1cm}earthquake\hspace{0.1cm}2} = \frac{10^{8} }{10^{6} } = 100$

3 0

3 years ago

Which equation can be used to solve for b?

Tanya [424]

Answer:

The first one

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan30° = $\frac{opposite}{adjacent}$ = $\frac{AC}{BC}$ = $\frac{b}{8}$

Multiply both sides by 8

8 × tan30° = b, that is

b = 8tan30°

8 0

3 years ago

Tanya is printing a report. There are 92 sheets of paper in the printer, and the number of sheets of paper p left after t minute

stira [4]

You missed a small portion of the question in the end. If I am not mistaken, I am able to find the complete question which you should have added. Anyways, this would help you clear your concept as I would explain the context.

Here is the complete question:

Tanya is printing a report. There are 92 sheets of paper in the printer, and the number of sheets of paper p left after t minutes of printing is given by the function p(t) = -8t + 92.

How many minutes would it take the printer to use all 92 sheets of paper?

Answer:

It would take 11.5 minutes for the printer to use all 92 sheets of paper

Step-by-step explanation:

Given:

Tanya is printing a report. There are 92 sheets of paper in the printer, and the number of sheets of paper p left after t minutes of printing is given by the function p(t) = −8t + 92

To determine:

How many minutes would it take the printer to use all 92 sheets of paper?

Given the function

$p(t) = -8t + 92$