The probability is 0.2743.
Calculating the z-score for this time, we have:
z = (X-μ)/σ
z = (96-90)/10 = 6/10 = 0.6
Using a z-table (http://www.z-table.com) we see that the area to the left of this, less than this score, is 0.7257. This means the area greater than this would be 1-0.7257 = 0.2743.
Answer:
D.
Step-by-step explanation:
The equation given takes the point-slope form which is, 
. Where,
(a, b) = (x, y) coordinates of a point on the line.
m = slope of the line .
To find which graph has a line equation of 
, look for the points which will give you something almost exactly as the equation if you substitute their values into .
Let's consider option D.
We have a given point (1, 2). a = 1, b = 2.
Substitute these into
We have:
As you can see, this looks almost exactly as
.
If you want to be certain that option D is the answer, find m by using the coordinates of any other point on the line and plug into to find m:
In graph D, let's take the points (0, -1)
Divide both sides by -1
3 = m
m = 3.
Therefore, option D is the graph of the line .
Answer: x=12
Step-by-step explanation:
OQ is equal to NL since both contain 90 degree angles and are intersected by a radius. Since OS is 3x-2 and NL is 32, then we need to find OQ and set it equal to NL. OS is half of OQ, so multiplying OS by 2 will get you OQ. 6x-4=32
That yields x=12.
Answer:
6
Step-by-step explanation:
Split the shape into two shapes, one square and one triangle.
Find the area of the square and area of triangle.
area of square = 2 × 2 = 4
The height of the triangle is 4 - 2 = 2 units.
area of triangle = 2 × 2 × 1/2 = 2
Add the areas.
4 + 2 = 6
The area is 6 units².
