Answer:
Step-by-step explanation:
The total number of students is 350 + 50 + 225 + 375 = 1000.
There are 225 students in band only, as well as 50 students in both band and choir. So there are 275 students in band out of the total of 1000, or 27.5%.
There are 350 students in choir only, as well as 50 students in both choir and band. So there are 400 students in choir, 50 of whom are also in band. So the probability is 50/400, or 12.5%.
The probabilities are not the same.
Since the probabilities are not the same, the probability of being in band is affected by whether or not the student is in choir. So the events are not independent.
Answer to Problem 27 is choice D) (x,y) --> (x+3, y-5)
Answer to Problem 28 is choice A) collinear
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Explanation for problem 27: Focus on point G. Notice how we shift it 4 units to the right and then 5 units down. So that's why the rule is (x,y) --> (x+3, y-5)
Explanation for problem 28: The term "collinear" means all points fall on the same line. Or put another way, its possible to draw a single straight line through all the points. The term "co" means "share" and "linear" means "line". So "collinear" translates to "sharing the same line". One axiom is that two points are always collinear no matter how you place them. Any more than 2, its not always guaranteed.
Answer:
i don't really know about this question i really couldn't find anything but here they have a pdf for a similar question maybe you will find something on there ividing segments proportionally key.pdfStep-by-step explanation:
A = s squared
60 = s squared
do the square root of 60
you get something around 7.75
Answer:
Walter earns $1,517 more than Stevens in one year.
Step-by-step explanation:
Giving the following information:
Two brothers Steven and Walter each inherit $41,000
Steven:
Annual return= 2.7%
Walter:
Annual return= 6.4%
<u>To determine the future value for the brothers, we need to use the following formula:</u>
FV= PV*(1+i)^n
Steven:
FV= 41,000*1.027= $42,107
Walter:
FV= 41,000*1.064= $43,624
Difference= 43,624 - 42,107= $1,517
Walter earns $1,517 more than Stevens in one year.
