The probability of 1 number showing up out of 20 is 1/20
The probability of 3 different numbers showing up would be 3/20
Answer: 3/20
Answer: Yes, she will have enough trim for all four sides of the square, because the perimeter of the square photo (30.98 inches) is less than 32 inches of trim she has.
Step-by-step explanation:
The formula for calculate the area of a square is:

Where "s" is the lenght of any side of the square.
The formula for calculate the perimeter of a square is:

Where "s" is the lenght of any side of the square.
We know that that the area of the photo is 60 square inches, therefore, we can solve for "s" from the formula
and find its value:

Substituting the value of "s" into the formula
, we get that the perimeter of the photo is:

Therefore, since Alicia has 32 inches of trim and
, we can conclude that she will have enough trim for all four sides of the square.
The base of log is 10. So raising both sides to 10, we get:

S, rounding of to nearest hundredth, the value of x in the equation 0.94 = log(x) comes out to be
8.71.
Answer:
<em>The ball's speed will be 10 m/s at t=1.22 seconds</em>
Step-by-step explanation:
The vertical motion of an object is controlled by the force of gravity. This means that there is a non-zero net force acting on the object that makes it accelerate downwards.
If the object is thrown upwards at speed vo, its speed at time t is:

Where g is the acceleration of gravity 
Our ball is thrown upwards with v0=22 m/s. We need to calculate the time when its speed is vf=10 m/s.
Solving the above equation for t:

Substituting:

t=1.22 seconds
The ball's speed will be 10 m/s at t=1.22 seconds