Answer: ![\frac{n-m}{n}](https://tex.z-dn.net/?f=%5Cfrac%7Bn-m%7D%7Bn%7D)
This is the same as writing (n-m)/n
Don't forget about the parenthesis if you go with the second option.
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Explanation:
The probability that she wins is m/n, where m,n are placeholders for positive whole numbers.
For instance, m = 2 and n = 5 leads to m/n = 2/5. This would mean that out of n = 5 chances, she wins m = 2 times.
The probability of her not winning is 1 - (m/n). We subtract the probability of winning from 1 to get the probability of losing.
We could leave the answer like this, but your teacher says that the answer must be "in the form of a combined single fraction".
Doing a bit of algebra would have these steps
![1 - \frac{m}{n}\\\\\frac{n}{n} - \frac{m}{n}\\\\\frac{n-m}{n}\\\\](https://tex.z-dn.net/?f=1%20-%20%5Cfrac%7Bm%7D%7Bn%7D%5C%5C%5C%5C%5Cfrac%7Bn%7D%7Bn%7D%20-%20%5Cfrac%7Bm%7D%7Bn%7D%5C%5C%5C%5C%5Cfrac%7Bn-m%7D%7Bn%7D%5C%5C%5C%5C)
and now the expression is one single fraction.
A. The
y-intercept (b) of a linear equation is obtained when x = 0. Therefore from the
given table,
y - intercept
= 8
Since at
time zero the displacement is 8 ft, this means that the horse was already
outside the barn initially.
B. The
average rate of change of the function represents the slope of the linear
equation (m). This can be calculated using the formula:
average rate
of change = m = (y2 – y1) / (x2 – x1)
m = (158 –
58) / (3 – 1)
m = 50
<span>C. Since we have determine the y-intercept and
the slope, we can formulate the linear equation:</span>
y = m x + b
y = 50 x + 8
The domain
is the value of x. When y = 508, x is equivalent to
508 = 50 x +
8
<span>x = 10 hrs</span>
We let c represent the number of dozen cupcakes in which the problem says that the cost of each cupcake is $8 per dozen. In this case, the money earned by Eva should be a function of the number of dozen cupcakes. In this case, the expression that represents this is A. f(c) = c × 8
Answer:
It's 14 pts total.
Step-by-step explanation:
He started out with 8. Then he answered 3 more questions that were 2 pts each. If you do 3x2, that would =6. Add 6 and 8, and you get 14!