First of all you need to get rid of the -27 on the left side, to do so you add 27 to both sides so it becomes:
5/8a=20
Now you can divide it by 5 to get:
1/8a=4
Now multiply it by 8 to get:
a=32
Hope this helps :)
It's important that you share the complete question. What is your goal here? Double check to ensure that you have copied the entire problem correctly.
The general equation of a circle is x^2 + y^2 = r^2. Here we know that the circle passes thru two points: (-3,2) and (1,5). Given that a third point on the circle is (-7, ? ), find the y-coordinate of this third point.
Subst. the known values (of the first point) into this equation: (-3)^2 + (2)^2 = r^2. Then 9 + 4 = 13 = r^2.
Let's check this. Assuming that the equation of this specific circle is
x^2 + y^2 = r^2 = 13, the point (1,5) must satisfy it.
(1)^2 + (5)^2 = 13 is not true, unfortunately.
(1)^2 + (5)^2 = 1 + 25 = 26 (very different from 13).
Check the original problem. If it's different from that which you have shared, share the correct version and come back here for further help.
Answer:
The value of f(-1) in the given equation is -10.
Step-by-step explanation:
When we see f(-1), it means that -1 is represented as our value of x. So, knowing this information, we can plug this into our given equation.
f(-1) = -3(-1)² + 2(-1) - 5
Simplify the exponent on -1.
f(-1) = -3(1) + 2(-1) - 5
Multiply -3 by 1.
f(-1) = -3 + 2(-1) - 5
Multiply 2 by -1.
f(-1) = -3 - 2 - 5
Subtract 2 from -3.
f(-1) = -5 - 5
Subtract 5 from -5.
f(-1) = -10
Answer:
The Upper Bound of the 99% confidence interval about the mean number of orcs per raiding party is of 106.83 orcs per party.
Step-by-step explanation:
We have the standard deviation of the sample, so we use the t-distribution to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 13 - 1 = 12
99% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 12 degrees of freedom(y-axis) and a confidence level of 
. So we have T = 3.0545
The margin of error is:
M = T*s = 3.0545*7.8 = 23.83
In which s is the standard deviation of the sample.
The upper end of the interval is the sample mean added to M. So it is 83 + 23.83 = 106.83 orcs per party.
The Upper Bound of the 99% confidence interval about the mean number of orcs per raiding party is of 106.83 orcs per party.
Answer:
Step-by-step explanation:
given that an article in the Sacramento Bee (March 8, 1984, p. A1) reported on a study finding that "men who drank 500 ounces or more of beer a month (about 16 ounces a day) were three times more likely to develop cancer of the rectum than non-drinkers."
To support this some data collected should be given. The data should be from a sample of a large size randomly drawn from 2 groups one men who drank 500 oz or more of beer and other group not drank that much. These people medical history with cancer patients number also should have been given.
