Which expression is equivalent to the equation?
1 answer:
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Answer:
Step-by-step explanation:
Step 1: Pythagoras Theorem
Pythagoras theorem relates the three sides of the triangle in such a way that the sum of the square of base and perpendicular is equal to hypotenuse, such as:
Step 2: Trigonometric Functions
Only for a right angle triangle following three trigonometric relations are valid
Step 3: Verifying all the possible answers
A: Since, LN = x and using
we can calculate
therefore, NM = x (true)
B: As NM = x therefore it can not be equal to .
C: Using Pythagoras Theorem
It can also be proved using trigonometric relation
As,
Therefore
D and E:
Using same approach similar to part A
Since, LN = x and NM = x
we can calculate
Therefore, and not equal to
Answer:
Step-by-step explanation:
Two cases arise to obtain the median.
Case (1): Sample size (n) is odd
First, arrange the data in ascending order. Then, the median is the middle value and lies at the position.
Case (2): Sample size (n) is even
First, arrange the data in ascending order. Then, the median is the mean of the two data values that lie on and positions.
Formula for mean is, where is the sum of all observations and n is the total number of observations.
(1)
Use the below process to create a set of 5 positive numbers (repeats allowed) that have median 7 and mean 10.
1.Select the 5 ordered numbers with middle value 7.
2.Adjust the remaining 4 numbers other than 7 to get mean 10 without changing the order of the numbers.
Based on the process to select the 5 ordered numbers with middle value 7 and change the other ordered numbers to get the mean value 10.
(2)
The product of the mean and the total number of observations is obtained. Then, the sum of four observations is subtracted from the product.
Here, the first four numbers are (5, 6, 7, 8).
The last number by using mean 10 is,
The last number is 24.