Answer:
The value of Cos (-Ф) .
Step-by-step explanation:
Given Trigonometric function as :
sin( - Ф ) =
- sin Ф =
So, sin Ф =
Now, as sin Ф =
So , =
So, perpendicular = 3
And hypotenuse = 5
Now,<u> From Pythagoras Theorem</u>
Base ² = Hypotenuse² - Perpendicular²
Or, Base ² = 5² - 3²
Or, Base ² = 25 - 9
Or, Base ² = 16
∴ Base =
I.e Base = 4
Now, Cos Ф =
So, Cos Ф =
Now , Since
Cos ( - Ф ) = Cos Ф
So, Cos ( - Ф ) = Cos Ф =
Hence The value of Cos (-Ф) . Answer
Let X be the answers all 48 questions on a multiple-choice test by guessing.
<span>p = 1/4 </span>
<span>q = 1 - 1/4 = 3/4 </span>
<span>n = 48 </span>
<span>μx = n*p = 48*(1/4) = 12 </span>
<span>σx = sqrt(n*p*q) = sqrt(4/*(1/4)*(3/4)) = 0.8660254038 </span>
<span>P(X = 15) = P(X ≤ 16) - P(X ≤ 14) = P((X - 12)/0.8660254038 ≤ (16 - 12)/0.8660254038) - P((X - 12)/0.8660254038 ≤ (14 - 12)/0.8660254038) = P(Z ≤ 4.62) - P(Z ≤ 2.31) = 1 - 0.9896 = 0.0104 </span>
<span>You could use the binomial distribution: </span>
<span>P(X = 15) = 0.07670882173 </span>
<span>(48) </span>
<span>(15)*((1/4)^15)*(3/4)^33 = 0.07670882173</span>
Answer:
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