They are not equivalent because when you are doing ratios they are not interchangeable
Given:
Anna’s cell phone plan charges her $30 per month plus a $150 one-time activation fee.
Evelyn’s cell phone plan charges her $20 per month, plus a $450 one-time activation fee.
To find:
The number of months after which the costs for the girls’ cell phone plans the same.
Solution:
Let x be the number of months.
Total cost = Fixed cost + Variable cost
According to the question, cost equation for Anna’s cell phone is
...(i)
Cost equation for Evelyn's cell phone is
...(ii)
Equate (i) and (ii) to find the time after which the costs for the girls’ cell phone plans the same.
Divide both sides by 10.
Therefore, the costs for the girls’ cell phone plans the same after 10 months.
<h3>
Answer: Choice D</h3>
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How I got this answer:
We can eliminate choices A and C because an outcome of "1" is not possible. This is because the smallest outcome allowed is 4, from adding 3 and 1. If we were just focused on drawing 1 card from the second stack, then an outcome of 1 is possible.
We can also eliminate choice B because the probabilities do not add to 1. Add up all the fractions shown in table B and you'll get the following:
1/15 + 2/15 + 1/5 + 4/15 + 1/5 + 2/15 + 1/15 = 1.067 approximately
All of the probabilities must add up to 1 for a probability distribution to be possible. This is why choice C is eliminated.
The only thing left is choice D
Add up the probabilities in choice D
1/15 + 2/15 + 1/5 + 1/5 + 1/5 + 2/15 + 1/15 = 1
we get the proper result of 1
Each probability in this table is found by dividing the number of times the outcome shows up out of 15. So for example, the outcome of "4" only happens one time out of 15 total, which is why 1/15 is the probability for this outcome. The fraction 1/5 is equivalent to 3/15.
1<span>. Personality in Twins. This is an example of similarity. Suppose a mother gave birth twins a few years ago, so they grow up together and given that they have the same DNA they are similar but not equal. </span>They have similar eyes, noses, lips, ears etc, but their mother can recognize them because even though they are similar they are not the same person. So maybe you want to be a friend of one of them, then you will choose the one you feel more comfortable to talk with.
<span>2. Cars. Suppose you like a specific type of brand car. Then there are many cars of this brand. You want to buy one of that car, so you decide to go to a concessionaire. One concessionaire has that car and its cost is $2000. Another one has the same car, it is a similar one, same color, same year, but at a price of $1900, so obviously you choose the less expensive.</span>
5
you use the formula a^2+b^2=c^2
a=3, b=4
3*3=9 and 4*4=16
16+9=25
square root of 25 is 5.
5 is the answer