Which value is equivalent to 30 + 9 divided by (6 - 3) A) 13 B)30 C(32 D)33
2 answers:
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Step-by-step explanation:
y = |x - 2| - 1
Given equation is in the form of y=|x-h|+k
Where (h,k) is the vertex
h = 2 and k =-1
So (2, -1) is the vertex for the given function
To find x intercepts we plug in 0 for y
we will get two values for x because of absolute function
0 = |x-2| -1
add 1 on both sides
|x-2| =1
x-2 =1 and x-2 =-1
x= 3 and x= 1
So x intercepts are (1,0) and (3,0)
the graph is attached below
Answer:
The degrees of freedom are given by:
The p value for this case is given by:
And for this case the p value is lower than the significance level so we have enough evidence to reject the null hypothesis and then we can conclude that true mean is higher than 55.
Step-by-step explanation:
Information given
We have the following data: 54 55 58 59 59 60 61 61 62 65
The sample mean and deviation can be calculated with the following formulas:
represent the sample mean
represent the sample standard deviation
sample size
represent the significance level
t would represent the statistic
represent the p value
System of hypothesis
We want to test if the true mean is higher than 55, the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
Replacing the info given we got:
(1)
And replacing the info given we got:
The degrees of freedom are given by:
The p value for this case is given by:
And for this case the p value is lower than the significance level so we have enough evidence to reject the null hypothesis and then we can conclude that true mean is higher than 55