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LUCKY_DIMON [66]

3 years ago

7

Use the linear regression feature on a graphing calculator to find the correlation coefficient for the data. Round your answer t

o three decimal places.

1 answer:

Lerok [7]3 years ago

7 0

Answer:

0.9769

Step-by-step explanation:

Given the data :

X : 7.5, 9.9, 4.8, 9, 8.1, 1.7, 3.1

Y : 35, 6, 45, 18, 20, 89, 84

The Correlation Coefficient obtained by using a graphing calculator to model the data above is : 0.9769, this means a strong positive correlation exists between the two variables.

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Which equation represents an exponential function that passes through the point (2, 36)?

sesenic [268]

Answer:

The exponential function that passes through (2,36) is:

$f(x)=4\times 3^x$ .

Step-by-step explanation:

We are asked to find which function passes through the point (2,36).

i.e. we will put the input value '2' in the following given functions and check which gives the output value as '36'.

1)

$f(x)=4\times 3^x$

now we put x=2.

$f(2)=4\times 3^2\\\\f(2)=4\times 9\\\\f(2)=36$

hence option 1 is correct.

2)

$f(x)=4\times x^3$

Now we put x=2.

$f(2)=4\times 2^3\\\\f(2)=4\times 8\\\\f(2)=32$

Hence, option 2 is incorrect.

3)

$f(x)=6\times 3^x$

Now we put x=2

$f(2)=6\times 3^2\\\\f(2)=6\times 9\\\\f(x)=54$

Hence, option 3 is incorrect.

4)

$f(x)=6\times x^3$

Now we put x=2.

$f(2)=6\times 2^3\\\\f(2)=6\times 8\\\\f(2)=48$

Hence, option 4 is incorrect.

Hence, option 1) is correct.

i.e. The exponential function that passes through (2,36) is:

$f(x)=4\times 3^x$

6 0

3 years ago

Read 2 more answers

Simplest form of 7/10 and 2/10

Juli2301 [7.4K]

Answer:

7/10 can't be simplified, 2/10->1/5

Step-by-step explanation:

7/10 cannot be simplified as 7 and 10 don't have any common factors other than 1

2/10 can be simplified by a factor of 2 to get 1/5

4 0

3 years ago

Read 2 more answers

What is the product of three square root of eight times four square root of three? Simplify your answer.

igor_vitrenko [27]

$The\ product\ of 3 \sqrt{8}*4 \sqrt{3}\ is\ 24 \sqrt{6}.$

First, recognize that all the numbers can be moved around because they are being multiplied together.
Next, rearrange the expression so that the whole-number coefficients are together:

$3\sqrt{8}*4\sqrt{6}$
$3*4*\sqrt{8}*\sqrt{3}$

Now try to simplify the square-roots to find any squares inside that can be reduced and taken out of the square-root:

$3*4*\sqrt{(2*2*2)}*\sqrt{3}$
$3*4*\sqrt{4*2}*\sqrt{3}$

Multiply the square roots together:
$3*4*\sqrt{(4*2*3)}$
$3*4*\sqrt{(4*6)}$

Now take out the square-root of 4 and simplify
$3*4*\sqrt{4}*\sqrt{6}$
$3*4*(2)*\sqrt{6}$
$24\sqrt{6}$

$Thus,\ your\ answer\ is\ 24\sqrt{6}$

7 0

3 years ago

Solve by substitution<br> 3x-4y=-4<br> y=2x-4

dybincka [34]

Answer:

x=4 and y=4

Step-by-step explanation:

From first function we have:

$3x - 4y = - 4 \\ 4y = 3x + 4$

And from the second one:

$y = 2x - 4 \\ 4y = 8x - 16$

Substitute them:

$4y = 3x + 4 \\ 4y = 8x - 16 \\ \\ 0 = - 5x + 20 \\ x = 4 \\ y = 4$

7 0

2 years ago

Which statement about a figure with line symmetry is correct?

emmainna [20.7K]

Answer:

C

Step-by-step explanation:

8 0

3 years ago