What is the surface area of the triangular prism?
1 answer:
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The question is incomplete. Below you will find the missing figure.
Two friends, Andrew and Liz, are playing a game using this spinner. If the
spinner lands on region 2 or 3, Andrew wins. If it lands on region 4, Liz wins. If it lands on any other region, neither wins. Is this a fair game?
A. Yes. Each friend has a 1/4 probability of winning.
B. Yes. Each friend has a 1/6 probability of winning.
C. No. Andrew has a probability of 1/4 winning and Liz has a probability of 1/6 winning.
D. No. Andrew has a probability of 1/3 winning and Liz has a probability of 1/4 winning.
The correct option is Option A: Yes. Each friend has 1/4 probability of winning.
Probability is the possibility of an event to happen which is the ratio of no. favorable outcomes and no. of total outcomes.
P = no. of favorable outcome/ total no. of outcome
Here given in the question,
If the spinner touches region 2 or 3, Andrew wins
If the spinner touches region 4, Liz wins.
This is fair play because both have the same size of region for winning.
If we cut the circle into 8 pieces,
as region 1 is the sum of 2 sub-parts of the circle,
possibility of spinner touching region 1= 2/8= 1/4
possibility of spinner touching the small region = 1/8
So the possibility of the spinner touching the region 2or 3= 1/8+1/8= 2/8= 1/4
Hence the possibility of Andrew wins= possibility of the spinner touching region 1= 1/4
possibility of Liz wins= possibility of the spinner touching the region 2 or 3= 1/4
Therefore the correct option is Option A: Yes. Each friend has 1/4 probability of winning.
Learn more about the probability
here: brainly.com/question/24756209
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Answer:
The number of essay questions on the test were 9
Step-by-step explanation:
Given as :
Total number of questions in a test = 26
Total points for the 26 questions = 123
The point for each multiple choice questions = 3
The point for each essay questions = 8
Let The number of multiple choice questions = m
Let The number of essay questions = e
<u>Now, According to question</u>
Total number of questions in a test = number of multiple choice questions + number of essay questions
Or, m + e = 26 .....A
Again
Total points for the 26 questions = point for each multiple choice questions × number of multiple choice questions + point for each essay questions × number of essay questions
i.e 3 × m + 8 × e = 123
Or, 3 m + 8 e = 123 .......B
Solving the equation we get
8 × ( m + e ) - (3 m + 8 e) = 8 × 26 - 123
Or, 8 m + 8 e - 3 m - 8 e = 208 - 123
Or,(8 m - 3m) + (8 e - 8 e) = 85
Or, 5 m + 0 = 85
∴ m =
i.e m = 17
So,The number of multiple choice questions = m = 17
Put the value of m into eq A
∵ m + e = 26
Or, e = 26 - 17
i.e e = 9
So, The number of essay questions = e = 9
Hence, The number of essay questions on the test were 9 . Answer