Answer: 
Step-by-step explanation:
given data:
number to be chosen from = 1,2,3,4.
<u><em>Solution:</em></u>
ways the number can show
ways for your number to appear once.
ways for your number to appear twice.
ways for your number not to appear at all



expected return of the player is 
Answer:
The triangles are congruent by SAS.
Step-by-step explanation:
The triangle have two congruent sides because it is given. The congruent angle is the angle at which they connect, these two angles are congruent because they are vertical angles.
Answer:
Pual needs 3 gallons
Step-by-step explanation:
∵ The dimensions of the four walls are:
25 × 8 , 30 × 8 , 25 × 8 , 30 × 8
∴ The area of painting = 2(25 × 8) + 2(30 × 8)
= 400 + 480 = 880 square feet
∵ each gallon paint 400 square feet
∴ The number of gallons = 880/400 = 2.2, so he needs 3 gallons
Answer:
The solution is:

Step-by-step explanation:
The first step to solve this equation is placing everything with the exponential to one side of the equality, and everything without the exponential to the other side. So



To find x, we have to apply log to both sides of the equality.
We also have that:

So





