The point P has coordinates (x,y) = (-2,6) so x = -2 and y = 6
Replace x and y with those values into the rule given
So,
(x,y) ---> (x-2, y-16)
turns into
(-2,6) ---> (-2-2, 6-16) = (-4,-10)
P = (-2,6)
P ' = (-4,-10)
The answer is -10 because your teacher just wants the y coordinate of point P'
Answer:
The probability that the diameter falls in the interval from 2499 psi to 2510 psi is 0.00798.
Step-by-step explanation:
Let's define the random variable,
"Comprehensive strength of concrete". We have information that
is normally distributed with a mean of 2500 psi and a standard deviation of 50 psi (or a variance of 2500 psi). In other words,
.
We want to know the probability of the mean of X or
that falls in the interval
. From inference theory we know that :

Now we can find the probability as follows:

Where
, then:

remember that local minimuns are points in which the function was decreasing and starts increasing.
you can try two ways of doing it, graphing the functions or using derivatives.
since this are twelve functios the easier way is to graph them.
start by function y=x
in this case this function is continously increasing as x increases, which means that it does not have any local maxima or minima.
now do the same for

this graph has a local minima on th
Answer:
x = 21°
Step-by-step explanation:
Vertical angles have the same measures, therefore:
3x - 30 = 2x - 9
x - 30 = -9
x = 21°
Answer:1.885 miles
Step-by-step explanation:Do 0.58 times 3.25 which gives you 1.885.
Hope it helps :)