Hello!
To solve these problems we will use the Pythagorean Theorem( a²+b²=c², where a and b are the legs and c is the hypotenuse). Let's start!
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Q. 7
5²+12²=c²
25+144=169
√169=13
The length of the hypotenuse is 13.
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Q. 8
We already know the length of the hypotenuse, so we will have to solve for a by subtracting.
10²-8²=a²
100-64=36
√36=6
The length of the missing leg is 6.
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Q. 9
To test whether or not this is a right triangle, we have to make sure the squares of the legs is equal to the square of the hypotenuse. The hypotenuse is ALWAYS the longest side of a triangle, so in our case, the hypotenuse is eight. Let's check the squares.
16+49=65
16+49≠64
Therefore, this is NOT a right triangle.
I hope this helps!
Answer: The standard error for sample is 0.0686 .
Step-by-step explanation:
We know that the formula to find the standard error is given by :-

, where s = standard deviation
n= Sample size
As per given , we have
s= $0.4 and n= 34
Then , the standard error for sample is given by :-

Hence , the standard error for sample is 0.0686 .
Answer:
The Alans's average for the course is 84.5
Step-by-step explanation:
We are given
There are 4 tests, A Term paper and a Final examination.
Score = 92, 78, 82, 90.
Term paper score = 80
Final examination score = 86
Weighted mean = ∑ w.f/∑w
also the sum of all the weights is 100% = 1
weighted mean = 15%*92 + 15%*78+15%*82+15%*90+20%*80+20%*86/1
= 51.3 + 33.2
= 84.5
Therefore the Alans's average for the course is 84.5
Answer:
8+192x5=8+960=968 is your answer
THE POWER OF MEMES!!!!!!!!!!!!!!