Answer:
0.1289
Step-by-step explanation:
Given that two companies have sent representatives to an industry conference.
The first company sent 12 representatives and the second company sent 20 representatives
Selecting any 22 out of these 32 can be done in 
Favourable outcomes = No of ways of selecting 10 from I and 12 from II
= 
Probability required = 
Hi there!
First, let's find the slope of the two points using the slope formula (y2 - y1 / x2 - x1).
S = 4 - 2 / 3 - 5
S = 2 / -2
S = -1
Next, we'll plug in the slope and a point into point-slope form (y - y1 = s(x - x1)) in order to find an equation. I will show the work using both points, which will result in two different equations.
(2,5)
y - 5 = -1(x - 2)
y - 5 = -x + 2
y = -x + 7
(4,3)
y - 3 = -1(x - 4)
y - 3 = -x + 4
y = -x + 7
The two equations came out the same! Which is completely okay, and happens sometimes.
Hope this helps!! :)
If there's anything else that you're needing help with, don't be afraid to reach out!
Answer:
a triangular prism net has two rectangular bases and triangular faces, a square pyramid has a square base and the faces are triangular, a cube has all squares, and a rectangular prism has rectangular bases and rectangular faces
Step-by-step explanation:
Answer:
6 in
Step-by-step explanation:
Let x = the side length of the original square.
They removed 3 in from each side of the original square, so the side lengths of the remaining square are x - 3 in.
The area of the smaller square is (x - 3)².
The area of the original square is x²
I assume the area of the smaller square is ¼ that of the original square. Then
1. Solve for x

2. Calculate the side length of the smaller square
(a) x = 2
Side length = x - 3 = 2 - 3 = -1 in.
IMPOSSIBLE. You can't have a negative side length.
(b) x = 6
Side length of smaller square = 6 - 3 = 3 in.
Side length of original square = x = 6 in
Check:

OK.
Answer:
the decimal expansion of 7/8 is
0.875