Rewrite the equation in vertex form. Name the vertex and y-intercept. y=3/5x^2+30x+382
2 answers:
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Step-by-step explanation:
1.) First, you need to take the whole numbers (9 and 1) and set them aside.
2.) Multiply the numerators from each fraction by one another. The numerators are the numbers on the top of the fraction. (Whatever you get on that will be the numerator of the answer!)
3.) Multiply the denominators by each other as well. The denominators are the numbers on the bottom. This will be the denominator of your answer.
4.) Now, you need to multiply your whole numbers (9 and 1) together.
5.) Then, simplify or reduce your answer. (this can't be simplified, as it is already in its simplest form)
Your answer will be 9 1/66.
Your work should look like this in the end:
Answer:
(a)
(b) 0.7910
(c) 0.0401
(d) 0.6464
Step-by-step explanation:
Let <em>X</em> = amount of time that people spend at Grover Hot Springs.
The random variable <em>X</em> is normally distributed with a mean of 73 minutes and a standard deviation of 16 minutes.
(a)
The distribution of the random variable <em>X</em> is:
(b)
Compute the probability that a randomly selected person at the hot springs stays longer than 60 minutes as follows:
*Use a <em>z</em>-table for the probability.
Thus, the probability that a randomly selected person at the hot springs stays longer than an hour is 0.7910.
(c)
Compute the probability that a randomly selected person at the hot springs stays less than 45 minutes as follows:
*Use a <em>z</em>-table for the probability.
Thus, the probability that a randomly selected person at the hot springs stays less than 45 minutes is 0.0401.
(d)
Compute the probability that a randomly person spends between 60 and 90 minutes at the hot springs as follows:
*Use a <em>z</em>-table for the probability.
Thus, the probability that a randomly person spends between 60 and 90 minutes at the hot springs is 0.6464