P(winning) = 4/52 = 1/13
P(losing) = 48/52 = 12/13
Expected value
= 1/13 ($498) + 12/13 (−$2)
= $498/13 − $24/13
= $474/13
= $36.46
So if you're solving by substitution, one equation must be in slope intercept form. Ill just go with the first one.
-4x+y=6
<u>+4x +4x
</u>y=6+4x
Now substitute the value of y in for the value of y in the second equation:
-5x-(6+4x)=21
-5x-6-4x=21
-9x-6=21
<u> +6 +6
</u><u>-9x=27
</u>-9 -9
x=-3
Now input that into the first equation:
-4(-3)+y=6
12+y=6
<u>-12 -12</u>
y=-6
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A] David's speed during the period:
i] AB
speed=distance/time
time taken between AB=0.5 hours
distance=20 km
thus
speed=20/0.5=40 km/h
ii]BC
time taken between BC=1.5 hours
distance=20
speed=20/1.5=13 1/3 km/h
b] Average speed for the entire time will be:
average speed=(total distance)/(total time)
total distance=(20+20+20)=60 km
total time=3 hours
thus
average speed=60/3=20 km/h
c] David's distance 2 hours and 15 minutes from the starting point was:
distance=20+20+10=50 km
Answer:y= 8
Step-by-step explanation:
