After walking 1/4 mile from home, ham is 1/3 of his way to school. What is the distance between his home in school?
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 equation of the line AB is y - x -4 = 0
Step-by-step explanation:
The points are A (10,14) and B(2,6)
Now, slope of the line AB :
or, =
So, slope of the equation AB = 1
Now, by SLOPE INTERCEPT FORM:
The equation of line is given as : y - y0 = m (x-x0)
So,the equation of line AB is y - 6 = 1(x-2)
or, y - 6 -x + 2 = 0
or, y - x -4 = 0
Hence, the equation of the line AB is y - x -4 = 0