Hello!
First of all, we need to reflect our point across the line y=3. This is a horizontal line. Therefore, our y-value will change. If we reflect, we get the point (0,3).
Now we reflect across the x-axis, which is also a vertical line. When reflecting across an axis, you just switch to the inverse of a number. This gives us (0,-3).
Therefore, our answer is (0, -3).
I hope this helps!
Answer:
3. When to angles in a plane share a vertex and a side but no common interior points, they are called Adjacent angles.
4. When two lines intersect, they form two pairs of "opposite" angles called congruent angles.
Hey there! :)
Answer:
-1/2.
Step-by-step explanation:
For a line to be perpendicular, the slope must be the negative reciprocal of the original. In this instance:
A line perpendicular to y = 2x + 7 must contain a slope that is the negative reciprocal of 2.
The negative reciprocal of 2 is -1/2. This is the slope of a perpendicular line.
Answer:

And we can use the z scoe formula given by:

And if we find the z score for the limits we got:


And this probability is equivalent to:

Step-by-step explanation:
For this case we can define the random variable X as "number of miles between services" and we know the following info given:

The central limit theorem states that "if we have a population with mean μ and standard deviation σ and take sufficiently large random samples from the population with replacement, then the distribution of the sample means will be approximately normally distributed. This will hold true regardless of whether the source population is normal or skewed, provided the sample size is sufficiently large".
From the central limit theorem we know that the distribution for the sample mean
is given by:
We select a random sample size of n =44. And we want to find this probability:

And we can use the z scoe formula given by:

And if we find the z score for the limits we got:


And this probability is equivalent to:

Let U = {English, French, History, Math, Physics, Chemistry, Psychology, Drama}, A = {Math, History, Chemistry, English}, B = {P
Sonbull [250]
Answer:
b. psychology drama French chemistry English