Answer:
(2, -16)
Step-by-step explanation: set both (x +2) and (x-6) = 0.
You get the two x-intercepts -2 and 6. Find the midpoint of the two intercepts by -2 + 6 / 2 which gives you x=2. Then plug 2 in for x and solve the original equation. ( 2 - 6)(2+2) = -16. Therefore the vertex is at (2,-16).
The answer is d. 8,120 foot-pounds
Because they are proportional what you do is find the common factor which in this case is multiply 3. So x would equal 7x3 or 21
Answer:
a) From the mean and 2 deviations above we have 95/2% = 47.5% of the data
b) Below one deviation from the mean we have (50-34)% =16% of the data
c) One deviation below the mean and 2 deviations above we have (47.5%) +34% = 81.5% of the data
Step-by-step explanation:
For this case we know that for a random variable X we have:
The empirical rule states that within one deviation from the mean we have 68% of the values, within 2 deviations 95% and ithin 3 deviations 99.7% of the data.
So then we want to find the % between 34 and 39. We can use the z score formula given by:
In order to calculate the deviations from the mean and replacing we got:
And from the mean and 2 deviations above we have 95/2% = 47.5% of the data
For the probability that would be less than 31.5 we find the z score:
And below one deviation from the mean we have (50-34)% =16% of the data
And for the last part between 29 and 36.5 we find the z scores and we got:
And from one deviation below the mean and 2 deviations above we have (47.5%) +34% = 81.5% of the data
Answer: x=4 and y=3
Step-by-step explanation:
We start eliminating the same numbers with the same variable. So we take out 5y on both equation. We then subract 3x to 6x and we do the same to the right side. We end up having 3x=12 and then we divide 12/3=4. We plug 4 on the x values in one of the equation to find out the y value on that equation. You end up with y=3 and then plug that in the same equation on both to see if its right. Finally after that its correct.