Answer:
(-1,-18) is the coordinate of the vertex.
Step-by-step explanation:
We can obtain the vertex by taking the derivative and equating it to zero. I know this because the the slope of the tangent line at the vertex has to be equal to zero.
the derivative would be 4x + 4 = 0, where x = -1.
Plugging x into the original value we will end up with the y coordinate.
Hope this helps.
Find the mean of the following data set: 40, 58, 37, 23, 66, 42, 35, 37, 51, 42, 56, 37, 61, 52.
svet-max [94.6K]
Answer:
45.5
Step-by-step explanation:
To find the mean is to find the average number of the data set.
In order to do this you add up all of the numbers, then divide it by the value how many numbers are in the set.
40+58+37+23+66+42+35+37+51+42+56+37+61+52= 637/14=45.5
First we swap our x and y variable, so we get
x = 3y + 2
Then, we solve for y
We can first subtract 2 on both sides
x - 2 = 3y
Then we can divide by 3 on both sides to get
x/3 - 2/3 = y
So our final equation is
y = x/3 - 2/3
Since the probabilities are mutually exclusive, we know that they don't interact with eachother. If I were to contextualize this, say two events that depend on eachother were a venn diagram. We would see that to find P(A and B) or P(A or B) would require you to find the intersection between the two. In this case, the probabilities would be akin to a spinner. We see that the spinner has a few sections, A and B being part of them. P(A or B) would be the probability of picking either section, which would just be P(A) or P(B) while P(A and B) would be the product of the two sections based on the multiplication rule.
So, using this newfound information we can say that P(E or F) = P(E)+P(F)=.30+.45=.75
