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3 years ago

Find the equation of the regression line and the value of the correlation coefficient (r).

Mathematics

1 answer:

tino4ka555 [31]3 years ago

3 0

Answer:

According with the graph:

1.) The equation of the regresion line is: y=5,720.10391 x + 957.225810

2.) The values of the correlation coefficient is 0.86

Step-by-step explanation:

In the graph is shown:

1.) Line of Best Fit

y=5720.10391 x + 957.225810

2.) Correlation

.86

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BRAINLIEST!!!! Identify the equation of the translated graph in general form

RUDIKE [14]

Answer:

Hyperbola:

$x^2-y^2-8x+6y-1=0$

Step-by-step explanation:

the given hyperbola has equation:

$x^2-y^2=8$

This is an equation of a hyperbola centered at the origin.

This hyperbola is translated so its center is now at T(4,3)

$(x-4)^2-(y-3)^2=8$

We expand to get:

$x^2-8x+16-(y^2-6y+9)=8$

$x^2-8x+16-y^2+6y-9=8$

$x^2-8x-y^2+6y+7=8$

$x^2-8x-y^2+6y+7-8=0$

$x^2-y^2-8x+6y-1=0$

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3 years ago

Read 2 more answers

A boiler has five identical relief valves. The probability that any particular valve will open on demand is 0.93. Assume indepen

noname [10]

Answer:

There is a 99.99998% probability that at least one valve opens.

Step-by-step explanation:

For each valve there are only two possible outcomes. Either it opens on demand, or it does not. This means that we use the binomial probability distribution to solve this problem.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinatios of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

In this problem we have that:

$n = 5, p = 0.93$

Calculate P(at least one valve opens).

This is $P(X \geq 1)$

Either no valves open, or at least one does. The sum of the probabilities of these events is decimal 1. So:

$P(X = 0) + P(X \geq 1) = 1$

$P(X \geq 1) = 1 - P(X = 0)$

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{5,0}.(0.93)^{0}.(0.07)^{5} = 0.0000016807$

Finally

$P(X \geq 1) = 1 - P(X = 0) = 1 - 0.0000016807 = 0.9999983193$

There is a 99.99998% probability that at least one valve opens.

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3 years ago

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How do you write your answer as a mixed number fraction?

alexandr402 [8]

Answer:

to convert an improper fraction to a mixed fraction, follow these steps:

-divide the numerator by the denominator.

-write down the whole number answer.

-then write down any remainder above the denominator.

Step-by-step explanation:

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3 years ago

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0.611111111. .. repeating equals Q. 12/19 b. 11/18 c. 13/20 d. 10/17

-Dominant- [34]

Answer:

B. 11/18

Step-by-step explanation:

Solve using algebra.

x = 0.611111...

10x = 6.111111...

10x - x = 6.111111.. - 0.61111111..

9x = 5.5

x = 5.5/9

x = 11/18

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3 years ago

Which of the following proportions could be used to convert 6 days to hours?

nekit [7.7K]

Answer:

Step-by-step explanation:

24 hours---------->1 day

x hours------------>6 days

Cross multiplying:

x=24x6

x=144 hrs

4 0

3 years ago