Three apples and twice as many oranges add up to one half the number of cherries in a fruit basket. how many cherries are there?
1 answer:
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Answer:
Step-by-step explanation:
Let p be the population proportion for the graduates from private nonprofit colleges in the region had at least one outstanding student loan at the time of graduation.
Given : Tristan is an administrator for a private nonprofit college and read a surprising statistic that 74% of graduates from private nonprofit colleges in the region had at least one outstanding student loan at the time of graduation.
i.e.
He believes that percentage is high and claims that the proportion of graduates at his college is less than the regional rate.
i.e.
Since, the null hypothesis is a statement which always takes equal sign or generally shows " no difference " where as alternative hypothesis takes unequal signs.
Then, the null and alternative hypotheses for this hypothesis test :-
So, making x subject of the formula, x = [m - 2pt³ ±√(m² - 4pt²m)]/{2t⁵}
<h3>How to make x subject of the formula?</h3>Since p = √(mx/t) - t²x
So, p + t²x = √(mx/t)
Squaring both sides, we have
(p + t²x)² = [√(mx/t)]²
p² + 2pt²x + t⁴x² = mx/t
Multiplying through by t,we have
(p² + 2pt²x + t⁴x²)t = mx/t × t
p²t + 2pt³x + t⁵x² = mx
p²t + 2pt³x + t⁵x² - mx = 0
t⁵x² + 2pt³x - mx + p²t = 0
t⁵x² + (2pt³ - m)x + p²t = 0
Using the quadratic formula, we find x.
where
- a = t⁵,
- b = (2pt³ - m) and
- c = p²t
Substituting the values of the variables into the equation, we have
So, making x subject of the formula,
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Answer:
Step-by-step explanation:
You know that "Z" is the midpoint of "YA". This means the following:
Now, you know that the expression for "YZ" is:
And the given expression for "ZA" is:
Knowing these expressions, you can substitute them into , as following:
Finally, you must add these expressions in order to get "YA".
Therefore, this is: