See attachement for the diagram of the triangle
Answer/Step-by-step explanation:
To find the length of HJ, we can use different equations as follows:
✔️Recall: SOHCAHTOA
Let's take <G as the reference angle = 28°
Opposite side to reference angle = HJ
Hypotenuse = 20
Apply SOH.
Thus:
Sin 28° = opp/hyp
Sin 28° = HJ/20 (Alex's equation is correct).
Solving further, we would have:
HJ = Sin 28 * 20 ≈ 9.4
✔️Another way is by using <H as the reference angle.
m<H = 180° - (90° + 28°) (sum of triangle)
m<H = 62°
Adjacent side to reference angle (<H) = HJ
Hypotenuse = 20
Apply CAH:
Cos 62° = Adj/Hyp
Cos 62° = HJ/20 (Marlene's equation is correct)
Solving further, we would have,
HJ = Cos 62° * 20 ≈ 9.4
As you can see, the equation of both students are correct. Both would arrive at the same answer using any of the two equations.
Answer:
The answer is B They are always on the x axis and y axis
Answer:
D) >20% are in favor
Step-by-step explanation:
Process of elimination:
Not C, since the same number is undecided for each
Not A, since more people are undecided
Not B, since 60 students decided compared to 40 undecided
The answer is D, since 25/100 = 25% of students are in favor
Answer:
And we can find this probability on this way:
And in order to find these probabilities we can use tables for the normal standard distribution, excel or a calculator.
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 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 on this way:
And in order to find these probabilities we can use tables for the normal standard distribution, excel or a calculator.
