Answer: its called an image
Step-by-step explanation:
This is because it the result of the reflection
(X+3)^2+(y-2)^2= 16
The formula is (x-h)^2+(y-k)^2=r^2
Answer:
Answer for the question:
The Rockwell hardness of a metal is determined by impressing a hardened point into the surface of the metal and then measuring the depth of penetration of the point. Suppose the Rockwell hardness of a particular alloy is normally distributed with mean 69 and standard deviation 2.7.
a. If a specimen is acceptable only if its hardness is between 67 and 75, what is the probability that a randomly chosen specimen has an acceptable hardness?
b. If the acceptable range of hardness is (69-C, 69+C), for what value of C would 95% of all specimens have acceptable hardness?
c. If the acceptable range is as in part (a) and the hardness of each of ten randomly selected specimens is independently determined, what is the expected number of acceptable specimens among the ten?
d. What is the probability that at most eight of ten independently selected specimens have a hardness of less than 72.84(HINT Y=number among the ten specimens with hardness less than72.84 is a binomial variable; what is p?)
is given in the attachment.
Step-by-step explanation:
After a first glance you can see that 3x^2 - 75 is not a difference of squares in the current form, because for one 3 and 75 are not squares.
So we'll have to see if we can factor something out of both of them. The only number it can be is 3, because the only number besides 3 that goes into 3 is 1.
So is there any number that can multiply by 3 to equal 75?
If you said 25 then you are correct. :p
So then our problem would look like this:
3(x^2 - 25)
Now we have a difference of squares!
Remember a difference of squares can be factored like this!
(a^2 - b^2) = (a - b)(a + b)
3(x - 5)(x + 5)
Is our answer!
