A poll showed that 57.4% of Americans say they believe that statistics teachers know the true meaning of life. What is the proba
2 answers:
Answer:
The probability of randomly selecting someone who does not believe that statistics teachers know the true meaning of life is 0.426.
Step-by-step explanation:
Let <em>X</em> = number of Americans who believe that statistics teachers know the true meaning of life.
The probability of the random variable <em>X</em> is,
P (X) = 0.574
The event of a person not believing that statistics teachers know the true meaning of life is the complement of the event <em>X</em>.
The probability of the complement of an event, <em>E</em> is the probability of that event not happening.
Compute the value of as follows:
Thus, the probability of randomly selecting someone who does not believe that statistics teachers know the true meaning of life is 0.426.
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Answer: x = 15, ∠K = 45.7°, ∠L = 45.7°, ∠M = 88.6°
<u>Step-by-step explanation:</u>
Since ∠K ≅ ∠L, then ΔKLM is an isoceles triangle with base KL
KM ≅ LM
3x + 23 = 7x - 37
23 = 4x - 37
60 = 4x
15 = x
KM = LM = 3x + 23
= 3(15) + 23
= 45 + 23
= 68
KL = 9x - 40
= 9(15) - 40
= 135 - 40
= 95
Next, draw a perpendicular bisector KN from K to KL. Thus, N is the midpoint of KL and ΔMNL is a right triangle.
- Since N is the midpoint of KL and KL = 95, then NL = 47.5
- Since ∠N is 90°, then NL is adjacent to ∠l and ML is the hypotenuse
Use trig to solve for ∠L (which equals ∠K):
cos ∠L =
cos ∠L =
∠L = cos⁻¹
∠L = 45.7
Triangle sum Theorem:
∠K + ∠L + ∠M = 180°
45.7 + 45.7 + ∠M = 180
91.4 + ∠M = 180
∠M = 88.6
we know there are 180° in π radians, how many degrees then in -3π/10 radians?