Answer:
Area of triangle is 25.
Step-by-step explanation:
We have been given an isosceles right triangle
Isosceles triangle is the triangle having two sides equal.
Figure is shown in attachment
By Pythagoras theorem

AD is altitude which divides the triangle into two parts
DC=5 implies BC =10 since D equally divides BC
Let AC=a implies AB=a being Isosceles
On substituting the values in the Pythagoras theorem:




WE can find area of right triangle by considering height AB and AD
Area of triangle ABC is:
(1)

And other method of area of triangle is:
(2)
Equating (1) and (2) we get:



Using area of triangle is: 
Now, the area of triangle ABC=

If no two numbers are the same, then there's no mode.
(b) one-sample t-test for a population mean
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Answer: The probability of rejecting the null hypothesis, when it is true, is 5%.
Step-by-step explanation:
We know that the level of significance ( denoted as
) is generally the probability of rejecting the null hypothesis when it is true.
Therefore , If the level of significance (\alpha[/tex] ) 0.05, then it means that it is the probability of rejecting the null hypothesis when it is true.
i.e. The probability of rejecting the null hypothesis when it is true= 0.05
In percent : 
Hence, the correct option is : The probability of rejecting the null hypothesis when it is true is 5%.
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