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melamori03 [73]
3 years ago
11

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
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