Solve for r using factoring:
Solve for r:
r^2 - 8 r - 33 = 0
The left hand side factors into a product with two terms:
(r - 11) (r + 3) = 0
Split into two equations:
r - 11 = 0 or r + 3 = 0
Add 11 to both sides:
r = 11 or r + 3 = 0
Subtract 3 from both sides:
Answer: r = 11 or r = -3
The probability that the cube never lands on 3 is (D) 23.3%.
<h3>
What is probability?</h3>
- A probability formula can be used to calculate the likelihood of an occurrence by simply dividing the favorable number of possibilities by the entire number of possible outcomes.
To find the probability that the cube never lands on 3:
Given -
Required
- Probability of not landing on 3.
First, we need to get the probability of landing on 3 in a single toss.
For a number cube,
- n(3) = 1 and n(total) = 6
So, the probability is P(3) = 1/6
First, we need to get the probability of not landing on 3 in a single toss.
Opposite probability = 1.
Make P(3') the subject of the formula.
- P(3') = 1 - P(3)
- P(3') = 1 - 1/6
- P(3') = 5/6
In 8 toss, the required probability is (P(3'))⁸
This gives:
- P = (5/6)⁸
- P = 390625/1679616
- P = 0.23256803936
Approximate to 1 decimal place, P = 23.3%.
Therefore, the probability that the cube never lands on 3 is (D) 23.3%.
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The correct question is given below:
A number cube is tossed 8 times. What is the probability that the cube never lands on 3?
A. 6.0%
B. 10.4%
C. 16.7%
D. 23.3%
Answer:
Not a function because it does not pass the Vertical Line Test.
The simple interest equation that represent the situation is A = t/5
<h3>What is simple interest?</h3>
Simple Interest (S.I.) is the method of calculating the interest amount for a particular principal amount of money at some rate of interest. For example, when a person takes a loan of 500 dollars, at a rate of 10 per annum for two years, the person's interest for two years will be S.I. on the borrowed money.
Principal(P) borrowed = $2
Rate(R) in percentage = 10
time in years = t
Simple interest(A) = P X R X t / 100
A = 2 X 10 X t/ 100
After reducing 20/100 to the lowest term
A = t/5
In conclusion the simple interest(A) = t/5
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The answer for this answer would be A
