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3 years ago

Write the equation of the function y=6/x translated 5 units to the left and 4 units up

Mathematics

1 answer:

yarga [219]3 years ago

5 0

Answer:

f(x)= (6/x+5)+4

Step-by-step explanation:

y/x translated 5 units

y/x+5 then 4 units up y/(x+5) +4

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Step-by-step explanation:

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The average high-density lipoprotein (HDL) cholesterol level of adult females is 53 milligrams per deciliter. You want to determ

emmasim [6.3K]

Answer:

$t=\frac{54.1-53}{\frac{1.78}{\sqrt{12}}}=2.14$

$df = n-1= 12-1=11$

$p_v = P(t_{11}>2.14) =0.0278$

Step-by-step explanation:

Data provided

$\bar X=54.1$ represent the sample mean in mg per deciliter of cholesterol level

$s=1.78$ represent the sample standard deviation

$n=12$ sample size

$\mu_o =53$ represent the value that we want to test

t would represent the statistic (variable of interest)

$p_v$ represent the p value for the test (variable of interest)

System of hypothesis

We need to conduct a hypothesis in order to check if the mean is higher than 53 mg per deciliter, the system of hypothesis would be:

Null hypothesis: $\mu \leq 53$

Alternative hypothesis: $\mu > 53$

The statistic is given by:

$t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}$ (1)

Calculate the statistic

Replacing into the formula we got:

$t=\frac{54.1-53}{\frac{1.78}{\sqrt{12}}}=2.14$

P-value

We need to find first the degrees of freedom:

$df = n-1= 12-1=11$

The p value for this case since we have a right tailed test is:

$p_v = P(t_{11}>2.14) =0.0278$

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3 years ago