Answer:
The correct option is the first one.
Step-by-step explanation:
We know that 14 men and 24 women applied for a job. So a total of 38 persons applied for that job.
But there are 4 ways a man can be chosen. It can be the first person chosen, the second, the third of the fourth one.
So we know that the number of ways that four people can be selected out of 38 people is 38C4=73,815.
Also the number of ways 3 woman can be selected is 14*24C3 =14*2024 = 28,336.
Then, the probability of randomly selecting a group with 3 women is 28,336/73,815=0.3838
The correct option is the first one.
With that information we can create the equation
10x + 5000 = 20x
where x is the number of earphones produced
10x is the cost to make each earphone, 5000 being the fixed costs of manufacturing, and 20x being the total revenue of selling each earphone for $20
Now to solve the equation:
subtract both sides by 10x
10x - 10x + 5000 = 20x - 10x
5000 = 10x
Now divide both sides by 10
5000/10 = 10/10 x
500 = x
Answer: D
Hope it helps :)
The translation that maps triangle ABC to A prime B prime C prime would be a reflection across the y axis. This is because when you reflect something, you are pretty much flipping it. When you reflect across the y axis, you are flipping the triangle across the y axis. Take one point for example. I will use C. Notice how the point C is 3 units away from the y axis. So the same way you would move the point 3 units right from the y axis, and that would be your new point. This sounds kind of complicated, so I will give you a list of rules to make it more simple.
Reflection across y axis: (x,y) would be equal to (-x, y)
Reflection across x axis: (x,y) would be equal to (x, -y)
Reflection across y = x: (x,y) would be equal to (y,x)
Reflection across y = x: (x,y) would be equal to (-y,-x).
A reflection across y = x would be when you have a line that for every 1 it rises, it goes right 1. It is a positive line, as opposed to the y = -x line. It also has a slope of 1. I will try attaching a graph if I can.
Anyway, as I was saying. So pretty much if you don't want to go through the logic, to see whether a figure is reflected, just try each of these rules and if one works then you have your answer. Otherwise it would not be a reflection.
Thanks for being a great mod and hope this helps! :D
"Ellipse" is the one among the following choices given in the question that identifies the conic section formed. The correct option among all the options that are given in the question is the third option or the penultimate option or option "C". I hope that this is the answer that has come to your desired help.
Answer:
I think A
Step-by-step explanation:
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