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Rasek [7]
3 years ago
5

Which of the following is the equation of a circle with center (5, -2) and a radius of 3?

Mathematics
1 answer:
ryzh [129]3 years ago
8 0
EQUATION OF A CIRCLE = (x-h)² + (y-k)² =r²

Since the center of the cercle is in O, then h=5 & k=-2

(x-5)² + (y+2² =9
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How do you do this question?
romanna [79]

Answer: B) Demand will most likely be elastic

Place yourself in the shoes of the employer. To them, demand is them needing/wanting workers. Specifically we call this "labor demand". The supply is the potential or current worker providing the service and/or making the product.

If the price goes up, then this means the worker earns higher wages. This in turn causes labor demand to fall. So the employer will be less likely to hire more workers if the wages increase. It's similar to how if the price of an item goes up in a store, then less people are probably going to buy it.

Demand is elastic because a small change in price causes a large change in demand. The company is going to be sensitive to wage changes. The company sees that it is approaching the diminishing returns, so it is likely to scale back on labor to save costs. It's all about trying to minimize costs and maximize revenue. Often, revenues can't be changed very much since customers are themselves sensitive to price changes (assuming there are substitutes in the market), so the company will turn to trying to reduce costs as much as possible leading to maximum profit.

3 0
3 years ago
Assume the random variable x has a binomial distribution with the given probability of obtaining a success. Find the following.
borishaifa [10]

Answer:

P(x > 10) = 0.6981.

Step-by-step explanation:

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

In this question:

n = 14, p = 0.8

P(x>10)

P(x > 10) = P(X = 11) + P(X = 12) + P(X = 13) + P(X = 14)

In which

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 11) = C_{14,11}.(0.8)^{11}.(0.2)^{3} = 0.2501

P(X = 12) = C_{14,12}.(0.8)^{12}.(0.2)^{2} = 0.2501

P(X = 13) = C_{14,13}.(0.8)^{13}.(0.2)^{1} = 0.1539

P(X = 14) = C_{14,14}.(0.8)^{14}.(0.2)^{0} = 0.0440

P(x > 10) = P(X = 11) + P(X = 12) + P(X = 13) + P(X = 14) = 0.2501 + 0.2501 + 0.1539 + 0.0440 = 0.6981

So P(x > 10) = 0.6981.

8 0
3 years ago
Findthe
Elanso [62]

Answer:

y- intercept = - 6

Step-by-step explanation:

The y- intercept is where the graph crosses the y- axis.

Let x = 0 and substitute in to the equation, that is

y = 0² - 3(0) - 6 = 0 - 0 - 6 = - 6 ← y- intercept

5 0
3 years ago
What does -5x - 16 = 9x + x - 1
ahrayia [7]

Answer:

x=-1

Step-by-step explanation:

hope this helps

8 0
4 years ago
Read 2 more answers
A plane intersects a sphere with a volume of about 44.6 cubic meters through the center of the sphere. What is the area of the c
san4es73 [151]
From the above definition, we can say that the cross-section, as a result of the plane intersecting the sphere through its centre, will be a circle with the radius "r" same as that of the given sphere. Thus, the area of the cross section is 15.2 m²
5 0
3 years ago
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