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Novay_Z [31]
3 years ago
12

Evaluate for x=2 and y=3: x^2y^-3/x^-1y

Mathematics
1 answer:
Artemon [7]3 years ago
4 0

Answer:

8/81

Step-by-step explanation:

It's most efficient to simplify the quotient algebraically before inserting the values of the variables x and y.  

The given expression reduces to x³ / y^4.

Substituting 2 for x and 3 for y, we get:

 (2)³           8

--------- = ---------- (Agrees with first given possible answer)

 (3)^4         81

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The Australian sheep dog is a breed renowned for its intelligence and work ethic. It is estimated that 45% of adult Australian s
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Answer:

Probability of more than 9 adult Australian sheep dogs out of 12 weighing 65 lb or more

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Step-by-step explanation:

The only assumption required for the question is that all 12 adult dogs sampled must all be Australian sheep dogs.

This is a binomial distribution problem

Binomial distribution function is represented by

P(X = x) = ⁿCₓ pˣ qⁿ⁻ˣ

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p = probability of success = probability of a dog weighing 65 lb or more = 0.45

q = probability of failure = probability of a dog NOT weighing 65 lb or more = 1 - 0.45 = 0.55

P(X > 9) = P(X=10) + P(X=11) + P(X=12)

Solving each of these probabilities, using the binomial distribution formula

P(X = x) = ¹²Cₓ (0.45)ˣ (0.55)¹²⁻ˣ with x = 10, 11 and 12

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= 0.00679820806 + 0.00101130368 + 0.00006895252

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Hope this Helps!!!

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The stock market gained 45 points on Tuesday and lost 32 points on Wednesday. It had closed on Monday at 2760 points. Where did
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Answer:

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Step-by-step explanation:

Lets start with what we know:

Monday at close it had a rating of 2760 points.

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Wednesday it had lost 32 points.

Once written out it becomes less intimidating to answer.

Monday + Tuesday + Wednesday = Answer

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