Answer:
P(A and B) is greater than 1 is never happened ⇒ C
Step-by-step explanation:
Two events are independent if the result of the second event is not affected by the result of the first event
If A and B are independent events, the probability of both events is the product of the probabilities of the both events P (A and B) = P(A) · P(B)
∵ The probability of any event is less than 1
∵ P(A) < 1
∵ P(A) > 
- That means P(A) is greater than half and less than 1
∴ < P(A) < 1
∵ P(B) < 1
∵ P(B) >
- That means P(B) is greater than half and less than 1
∴ < P(B) < 1
∵ P(A and B) = P(A) . P(B)
- Remember the product of any fractions less than 1 is less than 1
∴ 
< P(A) . P(B) < 1
- That means any expression equals to P(A) . P(B) must be greater
than and less than 1
∴ < P(A and B) < 1
∴ P(A and B) is greater than 1 is never happened
Answer:
0.4437
Step-by-step explanation:
First we will define independent events.
Two events are said to be independent when the occurrence of one event doesn't affect the probability of occurrence of second event.
Given
P(Q)=0.87
and
P(R)=0.51
The probability of independent events is given as:
P(Q∩R)=P(Q)*P(R)
=0.87*0.51
=0.4437
So the probability of Q and R is 0.4437 ..
Answer:
C
Step-by-step explanation:
A. Equilateral triangle is a triangle with all sides congruent. These triangles are not equilateral, because there is no information about all three sides of each triangle.
B. Isosceles triangle is a triangle with two sides congruent. These triangles are not isosceles, because there is no information about congruence of two sides of each triangle.
C. ASA posrulate states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the triangles are congruent. This is exactly what you are given in this question, so this option is true.
D. This option is false, because triangles can have two pairs of congruent angles (for example, 20° and 40°), then third pair are also congruent angles not necessarily right (180°-20°-40°=120°≠90°).
So, the rate per 7 minutes is 7:196
To find the unit rate (how many spins per minute) we need to divide the 196 by 7.
196/7 = 28
The unit rate is 1:28
At this rate, the unicycle makes 420 revolutions per 15 minutes. We find this by 28 * 15 = 420.
