Answer:
The measure of angle ∠ ABC is 96°.
Step-by-step explanation:
Inscribed angle theorem:
The inscribed angle theorem states that an angle θ inscribed in a circle is half of the central angle 2θ that subtends the same arc on the circle.
Here,
central angle is 192°
∴ 
On substituting the given values we get
∴ 
Therefore, the measure of angle ∠ ABC is 96°
Answer:
the slope is 2. or m=2
Step-by-step explanation:
basically

Calculate the probability that both bids are successful
Answer:
The probability that both contracs are successful is 0.21
Step-by-step explanation:
Given
E1 = the event that the bid on the first contract is successful
E2 = the event that the bid on the second contract is successful
P(E1) = 0.3
P(E2) = 0.7
Let P(A) represent the event that both contracts are successful
P(A) = P(E1 and E2)
Since both events are independent. P(A) becomes
P(A) = = P(E1 * P(E2)
By substituton
P(A) = 0.3 * 0.7
P(A) = 0.21
Hence the probability that both contracs are successful is 0.21
The average value is given by

Setting

, you get

, and the integral becomes


Answer:
B
Hope this helps!
explanation:
we solve the inequality and to do that we must first subtract 12 from both sides, which gets us -x<-4, then we divide both sides by -1, which gives us x>4, since we have to flip the sign when we divide by a negative. when we graph this, there will be a circle around 4 and the arrow pointing to the right, since it's greater than.