Answer:
Step-by-step explanation:
Given
Required
Fill in the gap to produce the product of linear expressions
Split to 2
Factorize the first bracket
Represent the _ with X
Factorize the second bracket
To result in a linear expression, then the following condition must be satisfied;
Subtract b from both sides
Multiply both sides by 5
Substitute -15 for X in
The two linear expressions are 
and 
Their product will result in
<em>Hence, the constant is -15</em>
Answer:
Triangle GAS = Triangle IOL by rule AAS
Step-by-step explanation:
The points must be ordered correctly so they correspond within the triangles. Point G = Point I, Point A = Point O, Point S = Point L.
A rule for determining Triangle Congruency is AAS. If two angles and a side of a triangle are equal to one of another triangle, the triangles are congruent.
Since F(X) = 3^X,
F(4) = 3^4 = 81
Answer:
Results:
0.1432
0.0045
0.0905
0.0483
Step-by-step explanation:
Step a:
P(A or 10, A or 10) = 20/52 * 19/51 = 5/13 / 19/51 = 95/663 = 0.1432
Step b:
P(A A) = 4/52 * 3/51 = 1/13 * 1/17 = 1/221 = 0.0045
Step c:
P(10 10) = 16/52 * 15/51 = 4/13 * 5/17 = 20/221 = 0.0905
Step d:
P(A 10 or 10 A) = 2 * 4/52 * 16/51 = 2/13 * 16/51 = 32/663 = 0.0483
As well we get the probability by subtracting a, b and c:
P(blackjack): 0.1432 - 0.0905 - 0.0045 = 0.0482
