Answer:

Step-by-step explanation:
Given
Values: 9/5, 9/5, 2, 9/5
Required
Calculate the sample variance
Sample variance is calculated using:

First, we calculate the mean




becomes





<em>Hence, the variance is 0.01</em>
Answer:

Step-by-step explanation:
The sine of an angle is defined as the ratio between the opposite side and the hypotenuse of a given right-angled triangle;
sin x = ( opposite / hypotenuse)
The opposite side to the angle x is thus 1 unit while the hypotenuse is 3 units. We need to determine the adjacent side to the angle x. We use the Pythagoras theorem since we are dealing with right-angled triangle;
The adjacent side would be;

The cosine of an angle is given as;
cos x = (adjacent side / hypotenuse)
Therefore, the cos x would be;

The given angles are 95° and 135, and the value of x is 40.
<h3>What is the angle sum property?</h3>
The angle sum property of a triangle states that the sum of the interior angles of a triangle is 180 degrees.
The given angles are 95° and 135.
Let's consider the adjacent angle of 135 to be z.
So, as we can see that both angles make a linear pair.
z + 135 = 180
z = 180 - 135
z = 45
Let's consider the interior angle to be y.
then,
y = 95 ( vertically opposite angle)
Now, The angle sum property
x + y + z = 180
x = 180 - 95 + 45
x = 40
Thus, the value of x is 40.
Learn more about the triangles;
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Answer:
60
Step-by-step explanation:
As we have all the required values we need, Now we can put them in a simple mathematical formula as below:
STEP 172 = 120% × Y
STEP 272 =
120
100
× Y
Multiplying both sides by 100 and dividing both sides of the equation by 120 we will arrive at:
STEP 3Y = 72 ×
100
120
STEP 4Y = 72 × 100 ÷ 120
STEP 5Y = 60
Finally, we have found the value of Y which is 60 and that is our answer.
You can easily calculate 72 is 120 percent of what number by using any regular calculator, simply enter 72 × 100 ÷ 120 and you will get your answer which is 60