Nine tiles numbered 1 through 9 are placed in a bag. A tile is randomly drawn and replaced. Then a
1 answer:
Answer:
16/81
Step-by-step explanation:
As the tile is taken and then replaced this means that the probability of the second event is not impacted by the probability of the first (they are independent)
As there are 9 tiles and 4 of them are even, the probability that the first tile drawn is even is 4/9.
There are still 9 tiles and still 4 of them are even for the second tile being drawn so this probability is then also 4/9.
If we want to find the probability of both events we should multiply together these two independent probabilities.
So:
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Answer:
The diagonal is irrational because it is a product of a rational and an irrational number
Step-by-step explanation:
The options are not given. However, the question is still answerable.
Given
Shape: Square
Length: Rational
Since the side length is said to be rational, I'll answer the question based on whether the diagonal is rational or not.
Having said that:
The diagonal (d) of a square with side length (l) is calculated using Pythagoras theorem.
Take positive square root of both sides
Split:
Recall that the side length (l) is rational.
However, is irrational.
So, the product of l and will be irrational
Hence:
The diagonal is irrational
V=hpir^2
A.
divide both sides by pir^2
B.
use
given
V=32π
r=2
8=h
height is 8 inches
A.
divide both sides by pir^2
B.
use
given
V=32π
r=2
8=h
height is 8 inches