Leg * /2 = hypotenuse
Hypotenuse divided by /2 = leg
12 divided by /2
Rationalize denominator:
12 * /2 divided by by /2 * /2
Simplify denominator:
12 * /2 divided by 2
Simplify:
6 * /2 or 4.24
Both x and y because it’s a 45-45-90 triangle
Answer:
Expected time is 15 hours for him to get to safety.
Step-by-step explanation:
We define X as the time that this miner would get to safety.
We define Y as the door he chooses initially.
P(Y= 1) = P(Y=2)=P(Y=3) = 1/3
We have E[X|Y=1] = 3
E[X|Y] = 5 hours + E[X}
E[X|Y] = 7 hours + E[X]
Then we have
E[X] = 1/3(3 + 5 + E[X] + 7 + E[X])
We cross multiply
3*E[X] = (15 + 2E[x])
3E[X] - 2E[X] = 15
E[X] = 15
So the time it would take to get him to safety is 15 hours
Just plot the points on the graph.
2. You know since the graph is a straight line, the ratios are proportional and therefore equivalent
The GCF is the largest number that can go into both the terms. Since "y" isn't in both terms, it can't include y. x, however, is, so we know our GCF has x in it. What's the largest whole number that can go into 32 and 18? 2. Your GCF is <span>2x.
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