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nikklg [1K]
3 years ago
13

Given the following functions f(x) and g(x), solve (f/g)(-4) and select the correct answer below. F(x)=4x-4 G(x)=x-1

Mathematics
2 answers:
Nata [24]3 years ago
5 0
(f/g)(x) = 4x-4 / x - 1 = 4

so (f/g) (-4) = 4
yan [13]3 years ago
4 0
To start set up a fraction with the f(x) on top and g(x) on bottom
(f/g)(x) = (4x - 4)/(x - 1)  - This is the function that we are going to use

Plug in -4 for x
(f/g)(-4) = (4(-4) - 4)/(-4 - 1) = (-16 - 4)/(-5) = (-20)/(-5) = 4

So...
(f/g)(-4) = 4

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3 years ago
Determine the critical value or values for a one-mean z-test at the 1% significance level if the hypothesis test is right-tailed
kifflom [539]

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We need to conduct a hypothesis in order to determine if the mean is greater than specified value, the system of hypothesis would be:      

Null hypothesis:\mu \leq \mu_o      

Alternative hypothesis:\mu > \mu_o      

For this case the significance is 1%. So we need to find a critical value in the normal standard distribution who accumulates 0.99 of the area in the left and 0.01 in the right and for this case this critical value is:

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Step-by-step explanation:

Notation

\bar X represent the sample mean

\sigma represent the standard deviation for the population      

n= sample size      

\mu_o represent the value that we want to test    

\alpha represent the significance level for the hypothesis test.    

z would represent the statistic (variable of interest)      

State the null and alternative hypotheses.      

We need to conduct a hypothesis in order to determine if the mean is greater than specified value, the system of hypothesis would be:      

Null hypothesis:\mu \leq \mu_o      

Alternative hypothesis:\mu > \mu_o      

For this case the significance is 1%. So we need to find a critical value in the normal standard distribution who accumulates 0.99 of the area in the left and 0.01 in the right and for this case this critical value is:

z_{crit}= 2.326

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