Answer:
The expected number of wins for the player is 2.31
Step-by-step explanation:
No. of face cards = 12
total cards = 52
Probability of getting face card = 
Probability of getting face card = 
The player plays 10 times
Formula : 
n = no. of trials = 10
p = probability of success= 
E=expected number of wins


So, the expected number of wins for the player is 2.31
Answer:

Step-by-step explanation:
Q2:
The point-slope form of an equation of a line:

m - slope
The formula of a slope:

We have the points (4, 6) and (6, 10). Substitute:

<em>use distributive property</em>
<em>add 6 to both sides</em>
<em>subteact 2 from both sides</em>

Q4:
The slope-intercept form of an equation of a line:

m - slope
b - y-intercept
Put the slope m = 3 and the coordinateso f the point (-2, 6) to the point-slope form of an equation of a line:

<em>use distributive property</em>
<em>add 6 to both sides</em>

The missing words to complete the proof are respectively; Vertical Angles; Corresponding angles; Transitive Property
<h3>How to prove congruent angles?</h3>
The image of the transversal line is attached.
1) We know that lines a and b are parallel and that line c is a transversal because that is given.
2) We can tell that angles 2 and 5 are congruent because vertical angles are congruent.
3) Angles 5 and 7 are congruent because corresponding angles by parallel lines cut by a transversal are congruent.
4) Therefore, angles 2 and 7 are congruent based on the transitive property.
Read more about Congruent Angles at; brainly.com/question/1675117
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