Given the statements: "The spread of data set X is greater than the spread of data set Y, and the data sets are normally distributed." The choice with the best answer would be
C. <span>The standard deviation of data set X is greater than the standard deviation of data set Y.
This is because the standard deviation is larger when the set is more spread out.</span>
Applying the tangent theorem and trigonometry ratio, the measure of angle A is: 19.5°.
<h3>What is the Tangent Theorem?</h3>
The tangent theorem states that if a line is tangent to a circle, the point at which the radius is drawn to the point of tangency is a right angle.
Thus, consider triangle AKO as a right triangle.
Therefore,
- angle A = reference angle
- Ok = 5 (opposite)
- AO = 15 (hypotenuse)
Using the trigonometry ratio, SOH, we have:
sin A = opp/hyp
sin A = 5/15
sin A = 0.3333
A = 19.5°
Therefore, applying the tangent theorem and trigonometry ratio, the measure of angle A is: 19.5°.
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Number of students N, y years
N = 700 + 50y
N = 700 + 50 x 10 = 1200 (C)
Left not painted percentage = 100 - 60 = 40 %
Left = 40/100 x 45 = 18 (H)
The required value of the acute angle x in a right angle triangle is 20. Option A is correct.
Given that
In a right triangle, the acute angles have a relationship,
sin (2x+4) = cos(46)
To determine the value of x
<h3>What are trigonometric equations?</h3>
These are the equation that contains trigonometric operators such as sin, cos.. etc.. In algebraic operation.
sin (2x+4) = cos(46) - - - - - -(1)
Since,
cos(46) = cos (90 - 44)
cos(46) = sin (44)
put it in equation 1
sin (2x+4) = sin (44)
2x + 4 = 44
2x = 44 - 4
2x = 40
x = 20
Thus, the required value of the acute angle x in a right angle triangle is 20. Option A is correct.
Learn more about trigonometry equations here:
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Answer:
96
Step-by-step explanation:
Simply multiply all the numbers together.
4 * 3 = 12
12 * 8 = 96
There are 96 possible combinations.
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