<span>Two algebraic expressions are said to be equivalent if their values obtained by substituting the values of the variables are same.</span>
Answer:
He will save 21 dollars.
Step-by-step explanation:
44.99 - 23.99= 21
Answer:

Step-by-step explanation:
We know that:
In a deck of 52 cards there are 4 aces.
Therefore the probability of obtaining an ace is:
P (x) = 4/52
The probability of not getting an ace is:
P ('x) = 1-4 / 52
P ('x) = 48/52
In this problem the number of aces obtained when extracting cards from the deck is a discrete random variable.
For a discrete random variable V, the expected value is defined as:

Where V is the value that the random variable can take and P (V) is the probability that it takes that value.
We have the following equation for the expected value:

In this problem the variable V can take the value V = 9 if an ace of the deck is obtained, with probability of 4/52, and can take the value V = -1 if an ace of the deck is not obtained, with a probability of 48 / 52
Therefore, expected value for V, the number of points obtained in the game is:

So:

Answer:
EF = 7 units
AD = 3 units
BC = 11 units
Step-by-step explanation:
Since it is an isosceles trapezoid and the midsegment is x, the sum of the bases divided by 1/2 is the value of the midsegment, x.
x = 1/2(x-4 + 2x-3)
x = 1/2x - 2 + x - 1 1/2
x = 1 1/2 x - 3.5
-1/2 x = -3.5
x = 7 units
EF = 7 units
AD = 7-4 = 3 units
BC = 2(7) - 3 = 11 units