Given the right triangle XYZ which correctly describes the locations of the sides in relation to
1 answer:
a is adjacent, b is opposite, and c is the hypotenuse that correctly describes the locations of the sides in relation to Y.Option D is correct,
<h3>What is the triangle?</h3>A triangle is a three-sided polygon. It is one of the most fundamental geometric forms.
The complete question is
"Given right triangle XYZ, which correctly describes the locations of the sides in relation to Y?
a is opposite, b is adjacent, c is the hypotenuse
a is the hypotenuse, b is opposite, c is adjacent
a is adjacent, b is the hypotenuse, c is opposite
a is adjacent, bis opposite, c is the hypotenuse"
Refer to the attached file for a clear understanding.
The positions of the sides in regard to Y are described by the terms and are adjacent, b is opposite, and c is the hypotenuse.
Hence the correct answer is D.
To learn more about the triangle, refer to:
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Answer:
31.85
Step-by-step explanation:
to subtract 30 percent from 45.50 just divide the percentage (30) by 100 subtract this value form 1 then multiply it by the initial value (45.50) so
final value = 45.50 x ( 1 - )
final value = 45.50 x ( 1 - 0.3)
final value = 45.50 x (0.7)
final value = 31.85
subtract 30% is the same as discount 30% this operation could be for example a 30% discount on 45.50
note: 0.3 can be found just by moving the decimal point 2 places to the left = 0.3 as a decimal
Answer:
So the value of height that separates the bottom 10% of data from the top 90% is 30.3.
If the score is lower than 30.3 we consider this score as risk averse
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 scores of a population, and for this case we know the distribution for X is given by:
Where and
We are interested in the bottom 10% of the data.
For this part we want to find a value a, such that we satisfy this condition:
(a)
(b)
Both conditions are equivalent on this case. We can use the z score again in order to find the value a.
As we can see on the figure attached the z value that satisfy the condition with 0.1 of the area on the left and 0.9 of the area on the right it's z=-1.28. On this case P(Z<-1.28)=0.1 and P(z>-1.28)=0.9
If we use condition (b) from previous we have this:
But we know which value of z satisfy the previous equation so then we can do this:
And if we solve for a we got
So the value of height that separates the bottom 10% of data from the top 90% is 30.3.
If the score is lower than 30.3 we consider this score as risk averse