Answer:
Step-by-step explanation:
We are given the following in the question:
x: −4 −3 −2 −1 0
P(X=x): 0.2 0.3 0.1 0.2 0.2
We have to evaluate
Since it is a discrete probability distribution as
We can evaluate the probability as:
Thus, 0.4 is the require probability.
Answer:
32°
Step-by-step explanation:
Given:
∠DMQ = 58º
In this circle, the radius is DM. Since AD is tangent to the circle M, at point D, and the angle between a tangent and a radius is 90°
Therefore, ∠MDQ = 90°
The total angle in a triangle is 180°. Since we have the values of ∠MDQ and ∠DMQ, ∠DQM will be calculated as:
180 = ∠DMQ + ∠MDQ + ∠DQM
Solving for ∠DQM, we have:
∠DQM = 180 - ∠DMQ - ∠MDQ
∠DQM = 180 - 90 - 58
∠DQM = 32°
The measure of ∠DQM is 32°
