Answer:
Terrell drove 200 miles one way
Step-by-step explanation:
Since his trip concluded at 9 hours, let's say that x = time traveled at 40 mph
and 9 - x = time traveled at 50 mph
D = (rate) x (time)
<em>40x = 50(9 - x)</em> -----Use Distributive property on the right side of the equation
<em>40x = 450 - 50x</em><em> </em>-----Add 50x on both sides
<em>90x = 450</em> ------Divide by 90 on both sides
We end up with<em> x = 5 </em>which is the value we need to determine the distance of our first trip, calculated by
<em>D = 40x</em>, or <em>40(5) = 200 mi</em>
X + 3 = 2x +5
-x -5 = -x - 5
x = -2
<h3>
Answer: 0.48</h3>
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Explanation:
Define the events
- D = person orders a drink
- H = person orders a hamburger
- F = person orders fries
The given probabilities are
- P(D) = 0.90
- P(H) = 0.60
- P(F) = 0.50
- P(F given H) = 0.80
The notation "P(F given H)" refers to conditional probability. If we know the person ordered a burger, then it changes the P(F) from 0.50 to 0.80; hence the events H and F are dependent.
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We want to find the value of P(H and F), which is the same as P(F and H)
We can use the conditional probability formula
P(F given H) = P(F and H)/P(H)
P(H)*P(F given H) = P(F and H)
P(F and H) = P(H)*P(F given H)
P(F and H) = 0.60*0.80
P(F and H) = 0.48
There's a 48% chance someone orders a burger and fries.
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