Answer:
And we can find this probability with the normal standard distirbution 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".
Solution to the problem
Let X the random variable that represent the lenghts of a population, and for this case we know the distribution for X is given by:
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 with the normal standard distirbution or excel and we got:
Answer:
Adjacent leg (In relation to the angle that is measure 22 degrees)= 70*Cosine 22 or 64.9; Opposite leg (In relation to the angle that is measure 22 degrees)=70* Sin 22 or 26.22
Step-by-step explanation:
The other angle measure is 90-22 or 68.
To find the length of the adjacent leg (a) use cosine. Remember cosine is Adjacent leg over hypotenuse.
Cosine 22= a/70- Multiply by 70
70* Cosine 22=a or about 64.9
To find the length of the opposite leg (o) use sine. Remember sine is Opposite leg over hypotenuse
Sine 22= o/70
70*Sine 22=o
o= about 26.22
The answer would be 4 1/12 yw
The correct answer to that question is T = 12