Square ABCD has coordinates A(-3,7), B(2,7), C(2,2), and D(-3,2). What is the area of the square
2 answers:
Answer:
Area = 25
Step-by-step explanation:
The area of a rectangle is calculated by multiplying the base by the height. But being a square all sides are equal. Since the length of the sides of all squares is the same, you can multiply it by itself. It is enough to know how much one side measures to determine the area by multiplying that side by itself.
If we plot the points or pairs ordered in the real plane, as shown in the attached graph, we can see that the measure of each side is 5.
So the area is 5 x 5 = 25
Hope this helps!
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Answer:
The degrees of freedom are given by:
And the p value would be:
Since the p value is lower than the significance level we have enough evidence to conclude that the true mean for this case for the growth rate is less than 2cm per week
Step-by-step explanation:
Information given
represent the sample mean for the growth
represent the sample standard deviation
sample size
represent the value that we want to compare
represent the significance level
t would represent the statistic
represent the p value
System of hypothesis
We need to conduct a hypothesis in order to check if the true mean is less than 2cm per week, the system of hypothesis are :
Null hypothesis:
Alternative hypothesis:
Since we don't know the population deviation the statistic is given by:
(1)
Replacing the info given we got:
The degrees of freedom are given by:
And the p value would be:
Since the p value is lower than the significance level we have enough evidence to conclude that the true mean for this case for the growth rate is less than 2cm per week
Answer:
Step-by-step explanation:
We know by definition that the cosine is an even function, therefore
We also know that the sin is an odd function, therefore
By definition:
Then:
Using these trigonometric properties we can simplify the expression