Describe the transformations of f(x) when compared to the parent function. f(x)=(x+7) a) horizontal shift left 7 units b) horizo
1 answer:
We have the function:
The parent function is the linear parent function p(x)=x.
We can see that f(x) is 7 units above p(x) for any value of p(x), so we can transform p(x) to f(x) by a translation of 7 units in the y-axis.
We can see this in the graph:
Then, the transformation is a vertical shift up 7 units.
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Answer:
Null hypothesis:
Alternative hypothesis:
The p value is a very low value and using any significance level for example always
so we can conclude that we have enough evidence to reject the null hypothesis, and we can say the the proportion of Canadians is not significantly higher than the porportions of readers at Britons.
Step-by-step explanation:
1) Data given and notation
represent the number of Canadians randomly sampled by Gallup that read at least one book in the past year
represent the number of Britons randomly sampled that read at least one book in the past year
sample of Gallup selected
sample of Britons selected
represent the proportion of Canadians randomly sampled by Gallup that read at least one book in the past year
represent the proportion of Britons randomly sampled that read at least one book in the past year
z would represent the statistic (variable of interest)
represent the value for the test (variable of interest)
2) Concepts and formulas to use
We need to conduct a hypothesis in order to check if the proportion for men with red/green color blindness is a higher than the rate for women , the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
We need to apply a z test to compare proportions, and the statistic is given by:
(1)
Where
3) Calculate the statistic
Replacing in formula (1) the values obtained we got this:
4) Statistical decision
For this case we don't have a significance level provided , but we can calculate the p value for this test.
Since is a one side test the p value would be:
So the p value is a very low value and using any significance level for example always
so we can conclude that we have enough evidence to reject the null hypothesis, and we can say the the proportion of Canadians is not significantly higher than the porportions of readers at Britons.
Answer:
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Explanation:
For any 30-60-90 triangle, the short leg is always half the hypotenuse.
This makes the short leg to be 18/2 = 9 units long.
We then multiply this by to get the length of the long leg.
Or you could use the pythagorean theorem to solve and you should get