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3 years ago

HELP ASAP. Find the inverse of g(x)=1/3x-7 and find its domain and range

1 answer:

7 0

Find the inverse function of f.
f(x)=(1+3x)/(5-2x)
Interchange x and y to get:
x=(1+3y)/(5-2y)
Solve for y as follows:
5x-2xy=1+3y

3y+2xy=5x-1
y(3+2x)=5x-1
y=(5x-1)/(2x+3)

this is the inverse function

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In March 2015, a Nielsen global online survey "found that consumers are increasingly willing to pay more for socially responsibl

Veseljchak [2.6K]

Answer:

For this case the parameter of interest is given by:

$p$ who represent the true proportion of respondents said that they were willing to pay more for products and services from companies who are committed to positive social and environmental impact

For this case we have an estimation given for this parameter. The estimation comes from a sample of 30000 people selected in 60 countries and they got:

$\hat p = 0.66$

This value represent the best estimator for the true proportion since is an unbiased estimator of the real parameter:

$E(\hat p) = p$

Step-by-step explanation:

For this case the parameter of interest is given by:

$p$ who represent the true proportion of respondents said that they were willing to pay more for products and services from companies who are committed to positive social and environmental impact

For this case we have an estimation given for this parameter. The estimation comes from a sample of 30000 people selected in 60 countries and they got:

$\hat p = 0.66$

This value represent the best estimator for the true proportion since is an unbiased estimator of the real parameter:

$E(\hat p) = p$

For this case if we want to test if the population proportion is equal to an specified value we can use the one sample z test for a proportion:

Null hypothesis: $p=p_0$

Alternative hypothesis: $p \neq p_o$

When we conduct a proportion test we need to use the z statisitc, and the is given by:

$z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}$ (1)

The One-Sample Proportion Test is used to assess whether a population proportion $\hat p$ is significantly different from a hypothesized value $p_o$ .

6 0

3 years ago

An equation is shown below:

Naya [18.7K]

Answer:

The equation is 4(x-3) -(5x+1) = 3

The next step is solving the equation is to apply the distributive property and the equation becomes 4x - 12 - 5x - 5 = 3.

Hope I helped :D

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

True or false: the square root of a number is always less than that number. Select one: A. true B. false

aleksandrvk [35]

Answer:

True

Step-by-step explanation:

8 0

4 years ago

Read 2 more answers

Divide.

inysia [295]

Answer:

$\frac{406}{27}$ or $15\frac{1}{27}$

Step-by-step explanation:

we have

$\frac{1,218}{81}$

decompose the numbers in prime factors

$1,218=(2)(3)(7)(29)$

$81=3^4$

substitute

$\frac{1,218}{81}=\frac{(2)(3)(7)(29)}{3^4}$

simplify

$\frac{(2)(7)(29)}{3^3}=\frac{406}{27}$

Convert to mixed number

$\frac{406}{27}=\frac{405}{27}+\frac{1}{27}=15\frac{1}{27}$

3 0

3 years ago

A bag contains purple marbles and white marbles, 96 in total. The number of purple marbles is 6 less than 5 times the number of

love history [14]

PURPLE MARBLES=P
WHITE MARBLES=W

First, write out an equation showing the number of purple marbles.
P=5W-6
Then, write out the main equation.
W+P=96
W+5W-6=96
Add 6 to both sides.
W+5W=102
6W=102
Divide both sides by 6
W=17
Now that we know there are 17 white marbles, we can go back to the equation about how many purple marbles there are.
P=5W-6
Plug in the value for W, which is 17.
P=5(17)-6
P=85-6
P=79

To make sure your answer is correct, check your work by plugging in the values for P+W=96.
79+17=96
Answer: There are 79 purple marbles.

8 0

3 years ago