Answer:
HHH, W = 3-0 = 3
HHT, W= 2-1=1
HTH, W= 2-1=1
THH, W=2-1 =1
HTT, W= 1-2=-1
THT, W= 1-2=-1
TTH, W=1-2=-1
TTT, W=0-3 = -3
So then the sample space for W is:
Just 4 possible values from 8 possible combinations for the 3 random tosses
Step-by-step explanation:
For this case we define W as the random variable who represent the number of heads minus the number of tails in three tosses of a coin.
W= # heads- # coins
Since we toss a coin 3 times we have 2*2*2= 8 possible results. We can list the results and the corresponding values for W like this:
HHH, W = 3-0 = 3
HHT, W= 2-1=1
HTH, W= 2-1=1
THH, W=2-1 =1
HTT, W= 1-2=-1
THT, W= 1-2=-1
TTH, W=1-2=-1
TTT, W=0-3 = -3
So then the sample space for W is:
Just 4 possible values from 8 possible combinations for the 3 random tosses
Y=mx+c
Parallel=> m=5
Y=5x+c
Sub (1,6)
6=5+c
=> c=1
=> equation is y=5x+1
x is -2 and y is -5/2 hope this helps
The blanks in this two-column proof should be filled as follows:
<u>Statements Reasons</u>_______________
m∠1 = m∠3 Given
m∠CBA = m∠ABE + m∠CBD Angle Addition Postulate
m∠ABE = m∠3 + m∠2 Substitution Property of Equality
m∠CBD = m∠3 + m∠2 Substitution Property of Equality
m∠ABE ≅ m∠CBD Transitive Property of Equality
<h3>What is the Angle Addition Postulate?</h3>
In Mathematics, the Angle Addition Postulate states that the measure of an angle formed by two (2) angles that are placed side by side to each other is equal to the sum of the measures of the two (2) angles.
This ultimately implies that, the Angle Addition Postulate can be used to determine the measurement of a missing angle in a geometric figure or it can be used for calculating an angle that is formed by two (2) or more angles such as m∠CBA = m∠ABE + m∠CBD.
Read more on Angle Addition Postulate here: brainly.com/question/24746945
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