If 3x-8=-2,find the value of x-6

The exponential regression equation is y = 172.21(0.99)ˣ and at x = 60 minutes y = 94.22 degree Fahrenheit and at x = 240 minutes y = 15.43 degree Fahrenheit.

<h3>What is correlation?</h3>

It is defined as the relation between two variables which is a quantitative type and gives an idea about the direction of these two variables.

$\rm r = \dfrac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{{[n\sum x^2- (\sum x)^2]}}\sqrt{[n\sum y^2- (\sum y)^2]}}$

We have data shown in the table:

We can find the exponential regression equation using the data shown.

$\rm y = ab^x$

After calculating from the data:

a = 172.21 and b = 0.99

$\rm y = 172.21(0.99)^x$

The correlation coefficient will be:

r = -0.99

The range will be all real numbers.

The domain will be y > 0

As we can see in the graph x ∈R and y>0

After an hour,

Plug x = 60 minutes in the exponential regression equation:

$\rm y = 172.21(0.99)^{60}$

y = 94.22 degree Fahrenheit

After 4 hours, plug x = 240

$\rm y = 172.21(0.99)^{240}$

y = 15.43 degree Fahrenheit

Similarly, we can find any data from the exponential regression equation.

Thus, the exponential regression equation is y = 172.21(0.99)ˣ and at x = 60 minutes y = 94.22 degree Fahrenheit and at x = 240 minutes y = 15.43 degree Fahrenheit.

Learn more about the correlation here:

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7 0

2 years ago

The sum of two numbers is 62 the smaller number is 6 less than the larer number what are the numbers

muminat

X= larger number
x-6= smaller number

x + (x - 6)= 62
combine like terms

2x - 6= 62
add 6 to both sides

2x= 68
divide both sides by 2

x= 34 larger number

SMALLER NUMBER
x - 6= 34 - 6= 28

ANSWER: The smaller number is 28 and the larger number is 34.

Hope this helps! :)

5 0

3 years ago

In the figure to the right, AE + DC = 1 1/5 cm, AB = 1 3/4 cm, DE = 1 1/4 cm, and BC = 1 3 /10 cm. Find the perimeter of the fig

pentagon [3]

Answer:

The perimeter of the figure = 9.5 cm

Step-by-step explanation:

Note: You probably missed to add the figure, but after a little research I found and am attaching the figure. I have answered your question based on the reference of that figure. But, I hope you would learn the concept so that you could solve any question based on this concept. So, please check the figure.

Solution:

The perimeter of the figure is the sum of all the sides of the given figure as shown in the attached figure.

So, here is the formula to calculate the perimeter.

Perimeter = AB + DE + BC + AE + BC

As AE + DC = 1 1/5 cm, AB = 1 3/4 cm, DE = 1 1/4 cm, and BC = 1 3/10 cm

Therefore,

Perimeter = 1 3/4 + 1 1/4 + 13/10 + 1 1/5 ∵ AE + BC = 1 1/5

= (130 + 110 + 52 + 88) / 40

= 380/40

= 9.5 cm

So, the perimeter of the figure is = 9.5 cm

Keywords: perimeter

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5 0

3 years ago

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