Answer:
Step-by-step explanation:
Given that Miguel is playing a game
The box contains 4 chips, 2 with number 1, and other two differntly numbered as 3 and 5.
OUt of these 4, 2 chips are drawn
P(drawing same number) = 2C2/4C2 =
Prob (drawing differnt numbers) = 1-1/6 =
Hence prob of winning 2 dollars = 
Prob of losing 1 dollar = 
b) Expected value = sum of prob x amount won
= 
c) Miguel can expect to lose 1/2 dollars for every game he plays
d) If it is to be a fair game expected value =0
i.e. let the amount assigned be s
Then 
The team moved the ball -3 yards per play.
Step-by-step explanation:
Given,
Total yards lost = 12 yards
Total plays = 4 plays
As the yards are lost, therefore, we will use negative sign.
Yards per play = 
Yards per play = 
Yards per play = -3
The team moved the ball -3 yards per play.
Keywords: division, unit rate
Learn more about division at:
#LearnwithBrainly
Answer:
A jumbo burrito cost more than $3.00
Step-by-step explanation:
<u><em>The correct question is</em></u>
The Larsen Family bought 3 jumbo burritos and 2 regular burritos for $13.65. The Russo family bought 5 jumbo burritos and 2 regular burritos for $20.23. Does a jumbo burrito cost more than $3.00? Write and solve a system of equations to justify your answer
Let
x ---> the price of one jumbo burrito
y ---> the price of one regular burrito
we know that
<em>The Larsen Family</em>
----> equation A
<em>The Russo family</em>
----> equation B
Solve the system by graphing
Remember that the solution is the intersection point both graphs
using a graphing tool
The solution is (3.29,1.89)
see the attached figure
The cost of a jumbo burrito is $3.29
therefore
A jumbo burrito cost more than $3.00
Answer:
<h2>
cos (α + β) = 0.9196</h2>
Step-by-step explanation:
Given sin α = –4∕5 and sin β = 1∕2
To get α from sin α = –4∕5,
α = arcsin(-4/5)
α = arcsin (-0.8)
α = -53.13°
If angle α is in quadrant III, then α = 180+53.13 = 233.13° (sin is negative in the 3rd quadrant)
Similarly for sin β = 1∕2
β = arcsin(1/2)
β = arcsin(0.5)
β = 30°
Since β is in quadrant II, β = 180-30 = 150°
To find cos (α + β). where α = 233.13° and β = 30°
cos (α + β)= cos (233.13 + 150)
= cos 383.13°
cos (α + β) = 0.9196