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2 years ago

Which best describes the range of the function f(x) = Two-thirds(6)x after it has been reflected over the x-axis?

Mathematics

2 answers:

stiv31 [10]2 years ago

10 1

Answer:

y > 0 best describes the range of the function f(x) = 2(3)x. A function whose value is a constant raised to the power of the argument, especially the function where the constant is e

Step-by-step explanation:

andrey2020 [161]2 years ago

9 0

Answer:

C . All real numbers greater than 0.

Step-by-step explanation:

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MZRSK = x + 53, m KST = x + 109, and mZRST = 156º Find x.

Dahasolnce [82]

Answer:

$-3 = x$

Step-by-step explanation:

Since we are not given a midpoint, we use the Angle Addition Postulate:

156 = [x + 109] + [x + 53]

156 = 162 + 2x

-162 - 162

_______________

−6 = 2x

___ ___

2 2

−3 = x

[−3 + 53] + [−3 + 109] = 156

50 106

156 = 156 ☑

Therefore, $-3 = x$ is a genuine statement.

I am joyous to assist you anytime.

4 0

2 years ago

Assume that the paired data came from a population that is normally distributed. using a 0.05 significance level and dequalsxmin

Artemon [7]

"Assume that the paired data came from a population that is normally distributed. Using a 0.05 significance level and d = (x - y), find $\bar{d}$ , $s_{d}$ , the t-test statistic, and the critical values to test the claim that $\mu_{d} = 0$ "

You did not attach the data, therefore I can give you the general explanation on how to find the values required and an example of a random paired data.

For the example, please refer to the attached picture.

A) Find $\bar{d}$
You are asked to find the mean difference between the two variables, which is given by the formula:
$\bar{d} = \frac{\sum (x - y)}{n}$

These are the steps to follow:
1) compute for each pair the difference d = (x - y)
2) sum all the differences
3) divide the sum by the number of pairs (n)

In our example:
 $\bar{d} = \frac{6}{8} = 0.75$ 

B) Find $s_{d}$
You are asked to find the standard deviation, which is given by the formula:
 $s_{d} = \sqrt{ \frac{\sum(d - \bar{d}) }{n-1} }$

These are the steps to follow:
1) Subtract the mean difference from each pair's difference
2) square the differences found
3) sum the squares
4) divide by the degree of freedom DF = n - 1

In our example:
$s_{d} = \sqrt{ \frac{101.5}{8-1} }$
= √14.5
= 3.81

C) Find the t-test statistic.
You are asked to calculate the t-value for your statistics, which is given by the formula:
$t = \frac{(\bar{x} - \bar{y}) - \mu_{d} }{SE}$

where SE = standard error is given by the formula:
$SE = \frac{ s_{d} }{ \sqrt{n} }$

These are the steps to follow:
1) calculate the standard error (divide the standard deviation by the number of pairs)
2) calculate the mean value of x (sum all the values of x and then divide by the number of pairs)
3) calculate the mean value of y (sum all the values of y and then divide by the number of pairs)
4) subtract the mean y value from the mean x value
5) from this difference, subtract $\mu_{d}$
6) divide by the standard error

In our example:
SE = 3.81 / √8
= 1.346

The problem gives us $\mu_{d} = 0$ , therefore:
t = [(9.75 - 9) - 0] / 1.346
= 0.56

D) Find $t_{\alpha / 2}$
You are asked to find what is the t-value for a 0.05 significance level.

In order to do so, you need to look at a t-table distribution for DF = 7 and A = 0.05 (see second picture attached).

We find $t_{\alpha / 2} = 1.895$ 

Since our t-value is less than $t_{\alpha / 2}$ we can reject our null hypothesis!!

7 0

2 years ago

Find f^3(x) for f(x)=4/x^2

vaieri [72.5K]

Answer:

f³(x) = 64/x⁶

Step-by-step explanation:

f³(x) = (f(x))³ = (4/x²)³ = 4³/(x²)³

f³(x) = 64/x⁶

_____

The applicable rules of exponents are ...

(a/b)^c = (a^c)/(b^c)

(a^b)^c = a^(bc)

7 0

2 years ago

What is the angle of rotation of this regular octagon? what is the measure of an interior angle?

MrRissso [65]

Second question:
sum of all the interior angle 180*(8-2)=1080 degree
sum of one interior angle 1080/8=135 degree

6 0

2 years ago

Which graph matches the equation y+ 6 = =+

Elden [556K]

Answer:

Its A

Step-by-step explanation:

3 0

2 years ago