Answer:
x = 150°
Step-by-step explanation:
From the picture attached,
Segment AC and segment BC are the tangents to circle O.
By the property of angle between tangent and the radius of a circle,
"Angle between the radius and tangent drawn to the circle is 90°"
m(∠OAC) = m(∠OBC) = 90°
Sum of opposite angles of the quadrilateral OBCA is 180°,
m(∠OAC) + m(∠OBC) = 180°
Therefore, quadrilateral OBCA is a cyclic quadrilateral.
By the same property of cyclic quadrilateral,
m(∠AOB) + m(∠ACB) = 180°
x° + 30° = 180°
x = 180 - 30
x = 150°
The fourth option is correct. 1. Switch f(x) for y 2. Transfer -10 as a +10 to the left side of the equation. y + 10 = 2x. 3. Then last, divide both sides by 2 to leave the x alone of the right. Now you have x = 1/2y + 5. Now switch back the y and x so it becomes y = 1/2x + 5. Also, make the y an h(x) to finish up.
Answer:
a) According to probability theory, the following are possible:
(1) The probability that a customer will buy 5 items in a single purchase is 30%. This represents a 0.30 chance of the customer buying 5 items.
(3) The probability that a customer will buy 3 items in a single purchase is 99% This means that there a 0.99 chance that the customer will buy 3 items.
b) According to probability theory, the following are not possible:
2) The probability that a customer will buy 3 items in a single purchase is 101%. Probability is always equal to 1 or 100%. It cannot exceed 100%.
(4) The probability that a customer will buy 8 item. This part lacks the necessary information to solve the problem.
Step-by-step explanation:
Probability describes the likelihood or chance of an event happening out of the many possible events that can take place. The sum of all probabilities for a particular event is always equal to 1. This shows that probability does not exceed 100%.