Answer:
P(A) = 0.49
Step-by-step explanation:
Given:
A and B are mutually exclusive events.
P(B) = 0.03
P(A or B) = 0.52
If two events A and B are mutually exclusive events, then there are no elements common in both the events. So, the probability of their intersection is 0.
Now, as per probability addition theorem:
P(A or B) = P(A) + P(B) + P(A and B)
For mutually exclusive events, P(A and B) = 0. So,
P(A or B) = P(A) + P(B) + 0
P(A or B) = P(A) + P(B)
Plug in the given values and solve for P(A). This gives,
0.52 = P(A) + 0.03
P(A) = 0.52 - 0.03
P(A) = 0.49
Therefore, the probability of occurrence of event A is P(A) = 0.49.
The length of the 2D cross-section = 22cm
Breadth of 2D cross-section = 12cm
Since it's inside a rectangular prism, it's area will be given by the formula of area of a rectangle.
→ Area of 2D cross-section = 22×12 = 264 cm²
Answer:
500
Step-by-step explanation:
Answer: 1.689
Step-by-step explanation:
To solve .72(x)+.20(100x)=35
We first open the brackets to give
0.72x + 20x = 35
20.72x = 35
Divide both sides by 20.72 to get the value of x
x = 35/20.72
x = 1. 689
Answer:
24 units
Step-by-step explanation:
The volume of the cylinder = πr²x
Where r is the radius of the base and x is the height of the cylinder.
πr²x = 1,176π
π×(14/2)²x = 1,176π
dividing by π both sides,
(14/2)²x = 1,176
7²x = 1,176
49x = 1,176
x = 1,176/49
= 24 units
