Trig is getting weirder? Which equation do I use?
1 answer:
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Answer:
The length of the other leg of this right angled triangle is 30 inches.
Step-by-step explanation:
We are given the following in the question:
A right angles triangle with the hypotenuse of 34 inches and the length of one of its legs is 16 inches.
Pythagoras theorem:
- The sum of of square of two sides of a triangle is equal to the square of the hypotenuse.
Let x inches be the length of the other leg of this right triangle.
Thus, we can write the equation:
Thus, the length of the other leg of this right angled triangle is 30 inches.
Answer:
a)
And we can find this probability using the normal standard table or excel and we got:
b)
And we can find this probability using the complement rule and the normal standard table or excel and we got:
Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Part a
Let X the random variable that represent the time for the step 1 and Y the time for the step 2, we define the random variable R= X+Y for the total time and the distribution for R assuming independence between X and Y is:
Where and
We are interested on this probability
And the best way to solve this problem is using the normal standard distribution and the z score given by:
If we apply this formula to our probability we got this:
And we can find this probability using the normal standard table or excel and we got:
Part b
And we can find this probability using the complement rule and the normal standard table or excel and we got: