Answer:
The expected profit is $10,600.
Step-by-step explanation:
The expected profit can be calculated as the sum of the possible outcomes weighted by their probability of occurrence.
In this case, there are four possible outcomes:
1) The horse win both races. The value of the horse will be $100k-$20k=$80k.
The probability of this outcome is:
2) The horse win the first race, but lose the second one. The value will be $50k-$20k=$30k.
The probability is:
3) The horse lose the first race, but win the second one. The value will be $50k-$20k=$30k.
The probability is:
4) The horse lose both races. The value will be $10k-$20k=-$10k.
The probability is:
Then, the expected profit can be calculated as:
Answer:
It is both a relation and a function.
Step-by-step explanation:
Keith collected the names and ages of all of his classmates and organized them in the ordered pair (name, age).
Here, if we consider the name as the input and age is the output, then each and every different input there is a single output.
Because a single person can not have more than one age.
Therefore, it is both a relation and a function. (Answer)
Answer:
1000 grams
Explanation:
There are 1000 grams in one kilograms
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<h3>Answer :</h3>
The factor of (x + y)³- (x³ + y³) is <u>3xy</u>
<h3>Step By Step Solution :</h3>
→ (x + y)³- (x³ + y³)
→ (x + y) - (x + y)(x² - xy + y²) [Using identity a³ + b³ = (a + b)(a²- ab+ b²)]
→ (x + y)(x² + y² + 2xy - x² + xy - y²)[Using identity, (a + b)² = (a² + b²+ 2ab)]
→ (x + y) (3xy)
→ 3xy
∴ Option d. 3xy is correct!
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We first write the word in math as x+3/5 = 5/7. Now we cross multiply our fractions and rewrite them with the LCD of 5 and 7. Our equation now looks like x + 21/35 = 25/35. We simplify our equation by subtracting 21/35 from both sides to get x = 4/35. 4/35 is already in lowest terms so it is our answer.
