A die is rolled once . what is the probability that the number on top will be _____
2 answers:
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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
The figure depicting the board game is attached below.
Answer:
Step-by-step explanation:
Kindly note that selections done without replacement.
Count of numbers on the board game = 8
Count of odd numbers = (1, 9, 1) = 3
Count of digit 6 = 3
Probability = required outcome / Total possible outcomes
P(picking an odd number) = 3 / 8
Without replacement
Numbers left on board game = 8 - 1 = 7
P(picking a 6) = 3 / 7
Hence,
P(picking an odd number then, a 6) = 3/8 * 3/7 = 9 / 56
The limit of the expression as x approaches -3 is -24
<h3>How to determine the limit of the expression?</h3>The expression is given as:
As x approaches -3.
The limit expression becomes
Substitute -3 for x in the expression
Evaluate the expression
Hence, the limit of the expression as x approaches -3 is -24
Read more about limit expressions at:
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