Welcome to another new game show, “Spinning for Luck!” As a contestant, you will be spinning two wheels. Each wheel is divided into equal sectors. The first wheel determines a possible dollar amount that you could win. The second wheel is the “multiplier”. You will multiply the results of your spins to determine the amount you will win. Unfortunately, you could owe money if your multiplier lands on –2!a. What is the probability of winning $100 or more?
b. What is the probability of owing $100 or more?
Answers
Final answer:
The probability in the game show 'Spinning for Luck!' depends on the sector division of each wheel and the range of dollar amounts and multipliers. To calculate, find combinations resulting in the desired outcomes and divide by total combinations.
Explanation:
The subject of this question is probability. It's difficult to answer directly since we do not have enough data. However, let's take an example. If each wheel has 10 sectors with equal chance of landing, and let's suppose the dollar amounts are from $10 to $100(increment of $10) and multipliers are from -2 to 8. To win $100 or more, in this setup, the first wheel needs to land on a $50 (and multiplier 2), a $20 with multiplier of 5, and so on. The amount of combinations resulting in $100 or above would need to be calculated and divided by the total amount of combinations (100).
Also, to owe $100 or more, we need to be unlucky enough to land on -2 multiplier, and amount more than $50. Again, we calculate combinations and divide by total combinations.
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Answer a ) 25%
Answer b ) 8.33%
The following formula can be used to determine the likelihood of both winning and owing $100 or more:
a. ) Chance of winning at least $100:
On the first wheel, there is a 2/6 = 1/3 chance of landing in a sector that equates to $100 or more.
On the second wheel, there is a 3/4 chance of landing on a multiplier other than -2.
The odds of both happening are (1/3) * (3/4) = 1/4 or 0.25.
The likelihood of earning $100 or more is thus 0.25, or 25%.
b. ) Likelihood of having at least $100 in debt:
The odds of landing on a sector with a value on the first wheel that is less than or equal to -$50 are 2/6 = 1/3.
A landing on a -2 multiplier on the second wheel has a 1/4 chance of happening.
1/12, or 0.08333, is the likelihood that both occurrences will occur (1/3) * (1/4).
Thus, the likelihood of owing $100 or more is 0.08333, or around 8.33%.
Therefore the final answer is 25% and 8.33%.
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Answers
The solution to the following system is .
What is Algebra?
Algebra is defined as the study of mathematical symbols and in which letters and symbols are used to represent numbers.
We have,
To find the solution to the above give algebraic equations,
We have to find values of .
So,
We will be putting in equation
,
Now,
We will be putting in equation
,
Using equation &
,
We get,
,
Now we have value of , putting this value in equation
,
,
Hence, we can say that option is the correct answer.
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Answer:
C.(2,1,0)
Step-by-step explanation:
on edg
Answers
Answer:
10a^2 - 19a + 7
Step-by-step explanation:
Use the FOIL method to multiply these binomals together. We get:
10a^2 - 14a - 5a + 7.
Combining the 'a' terms, we get
10a^2 - 19a + 7
8 • 1 = 8
8 • –1 = –8
–8 • –1 = 8
Answers
Option 2 - 8 x 1 = 8 is the correct alternative.
We have the options as mentioned in the question.
We have to determine which is an example of Identity Property of Multiplication.
What is Identity Property of Multiplication ?
The identity property of multiplication says that the product of 1 and any number is that number.
According to the question -
Using the Identity Property of Multiplication -
8 x 1 = 8
Hence, Option 2 is the correct alternative.
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Answers
$307,200.00
$2,736.00
$2,756.85
$17,136.00
Answers
Let:
F = Future value
P = Principal value
i = interest rate
n = interest period (n = 7)
F = P(1 + i)^n
Using the given values:
F = 2400(1 + 0.02)^7
F = 2756.8456
Therefore, the balance in the account would be $2756.85
Answers
Answer:88
Step-by-step explanation:
The area of the whole image is 144, the area of the picture is 56. Subtracting those from each other, you get that the picture frame is 88.