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:
There is 95% confidence that the population proportion of people from Vermont who exercised for at least 30 minutes a day 3 days a week is between 55.9% and 74.7%.
Step-by-step explanation:
We have to answer the population proportion for Vermont.
We can only do it by a confidence interval, as we only have information from a sample.
This sample, of size n=100, has a proportion p=0.653.
The degrees of freedom are:

We will calculate a 95% confidence interval, which for df=99 has a critical value of t of t=1.984.
The margin of error can be calculated as:

Then, the upper and lower bounds of the confidence interval are:

Then, we can say that there is 95% confidence that the population proportion of people from Vermont who exercised for at least 30 minutes a day 3 days a week is between 55.9% and 74.7%.
The watch costed $400 before the discount.
76 * 100 = 7,600
7,600 / 19 = 400
Answer:
weetablx is heavier
Step-by-step explanation:
lets simplify
wheat wheat - 0.35 kg
weetablx - 9/25
simplify into decimals
wheat wheat- 0.35 kg
weetablx- 0.36 kg
brainliest appreciated!
Answer:
The answer is No. She should have divided by 10 to find 10%.
Step-by-step explanation: