Since the events are dependent, the probability of occurrence of event B will impact the probability of occurrence of event A. So we will be using the formula of conditional probability to find P(A ∩ B).
Here P(A*B) indicates P(A ∩ B).
Using the values, we get:
P(A ∩ B) = 0.25 x 0.4 = 0.1
Thus, option A gives the correct answer.
Answer:
False
Step-by-step explanation:
When a figure is dilated by a scale factor of 4, the new figure produced will be 4 times the size of the original figure. This means that, the size would change while the shape remains the same as the original figure.
Congruent figures must have the same shape and size.
Therefore, the figure produced when a dilation of scale factor of 4 is done is not a congruent figure. Rather, it is a similar figure.
So, get statement is FALSE.
Answer: The boats are 44.82 miles from each other.
Step-by-step explanation:
The direction of movement of Marcus and Sandra forms a right angle triangle.
The distance sailed by Marcus due North would represent the opposite side of the right angle triangle.
The distance sailed by Sandra due east would represent the adjacent side of the right angle triangle.
The distance, h between the both of them after 2 hours represents the hypotenuse of the right angle triangle.
To determine h, we would apply Pythagoras theorem which is expressed as
Hypotenuse² = opposite side² + adjacent side²
h² = 35² + 28² = 1225 + 784
h² = 2009
h = √2009
h = 44.82 miles
The equivalent is 2.45 because 147/60 = 2 27/60 and 27/60 = .45
