<h3>
Answer: 3/5</h3>
Explanation:
P(B/A) is the shorthand way of saying "what is P(B) if we are 100% certain that event A has occured?"
Because events A and B are independent, they do not affect one another. The fact that A happens doesn't change P(B) at all.
Therefore, P(B) = P(B/A) when A & B are independent events.
Similarly, P(A) = P(A/B) when the two events are independent.
The one near the five is in the hundreds place and the one near the 4 is in the tenth place.
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Answer:
The sum is fraction therefore rational
.
Step-by-step explanation:
-2 3/4+ 5/9
=-11/4+5/9
=-99+20/36
=-79/36
=-2.1944444......
the sum is we can say fraction or non-terminating but repeating which is the definition of a rational number.
Answer:
tax = $6.63
Step-by-step explanation:
We can find the tax by multiplying the original amount by the tax rate.
tax rate = 10 % = .1
tax = 66.30 * .10
= 6.63
Answer:
31). Maximum height = 100 feet
32). Time to hit the ground = 5 seconds
Step-by-step explanation:
31). Equation modeling the height 'h' of the ball is,
h = -16t² + 80t
For the maximum height of the ball,
Find the derivative of 'h' with respect to time 't' and equate it to zero.





seconds
That means after 2.5 seconds ball will reach the maximum height.
By substituting
in the equation,

feet
Therefore, maximum height achieved by the ball is 100 feet.
32). If the ball follows the parabolic path,
Time taken by the ball to reach the maximum height = Time taken by the ball to come back to the ground from the maximum height.
Time taken by the ball to hit the ground = 2(2.5) = 5 seconds