Answer:
72x^2-96x+37
Step-by-step explanation:
Answer:
a.) Minimum test score = 41
Maximum test score = 95
b.)An approximate value of the standard deviation is 9.
Step-by-step explanation:
The given set of test scores is approximately bell shaped.
The mean of the test scores, = 68
The range of the data set = 54.
a.) i.) Minimum test score =
ii.) The maximum test score =
b.) From the 68-95-99.7 rule, also known as the Empirical rule, tell us that an approximation of the range is 3 standard deviations either way from the mean. So from this rule we can say that the minimum can also be found from and the maximum can also be approximated as .
From the above we can say that the range can be written as
∴
∴
Therefore an approximate value of the standard deviation is 9.
Answer:
f(x) = x(x +4)(x -3)
Step-by-step explanation:
Zeros at -4, 0, and 3 tell you the factorization is ...
f(x) = a(x +4)(x)(x -3)
Then f(2) = a(6)(2)(-1) = -12a.
The graph shows f(2) = -12, so a=1. That makes the function rule:
f(x) = x(x +4)(x -3)
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If you want it multiplied out, it will be
f(x) = x^3 +x^2 -12x
Answer:
sin = opp / hyp
cos = Adj / hyp
tan = opp / adj
7. cos 41 = x / 86
8. sin x = 5/13
9. cos x = 9/37
10. tan 61 = x/28
11. sin 41 = x/65
12. tan x = 79/84
Step-by-step explanation:
By applying Pythagorean theorem, we have proven that the point (-1/2, -√3/2) lies on the unit circle.
<h3>How to prove this point lies on the unit circle?</h3>
In Trigonometry, an angle with a magnitude of -120° is found in the third quarter and as such, both x and y would be negative. Also, we would calculate the reference angle for θ in third quarter as follows:
Reference angle = 180 - θ
Reference angle = 180 - 120
Reference angle = 60°.
For the coordinates, we have:
sin(-120) = -sin(60) = -1/2.
cos(-120) = -cos(60) = -√3/2.
By applying Pythagorean theorem, we have:
z² = x² + y²
z = √((-1/2)² + (-√3/2)²)
z = √(1/4 + 3/4)
z = √1
z = 1.
Read more on unit circle here: brainly.com/question/9797740
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