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Goshia [24]
2 years ago
15

Chad drove 168 miles in 3 hours and has 280 more miles to go. How fast (in miles per hour) did he drive the first 3 hours? Expla

in how you got your answer. If he continues to drive at that rate, how many hours will it take him to go the 280 more miles? Explain how you got your answer. Make sure to answer both questions
Mathematics
1 answer:
Margarita [4]2 years ago
4 0
<span>How fast (in miles per hour) did he drive the first 3 hours? "He drove 56mph the first 3 hours."

Explain how you got your answer. "I got my answer by divding the miles he drove (168) by how many hours it took (3) to get 56."

If he continues to drive at that rate, how many hours will it take him to go the 280 more miles? "It will take him 5 more hours."

Explain how you got your answer. "I divided the miles he needs to travel (280) by the mph he would be going (56)."</span>
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Slope-rate of change- “if there were 12,000 in the Atlantic Ocean in 1950 and there are 3,600 dolphins today, what is the yearly
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\bf \begin{array}{|cc|ll} \cline{1-2} \stackrel{x}{year}&\stackrel{y}{dolphins}\\ \cline{1-2} &\\ 1950&12000\\ 2018&3600 \\&\\ \cline{1-2} \end{array}~\hspace{5em}(\stackrel{x_1}{1950}~,~\stackrel{y_1}{12000})\qquad (\stackrel{x_2}{2018}~,~\stackrel{y_2}{3600}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{3600-12000}{2018-1950}\implies \cfrac{-8400}{68}~~\approx~~ \stackrel{\textit{rate of change}}{-123.53}


-8400/68 simplifies to to -2100/17,  dolphins/year, so 2100 less dolphins every 17 years.

and we can just divide those to get the decimal amount of -123.53, which means, 123.53  less dolphins every year.

of course, there's no such a thing as 0.53 of a dolphin, so, we can say "about" 123 less dolphins per year.

5 0
2 years ago
Given f(x) and g(x) = f(k:x), use the graph to determine the value of k.
Veseljchak [2.6K]

Answer:

It should be 2

Step-by-step explanation:

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Answer:

Step-by-step explanation:

What am I supposed to say?

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2 years ago
In the accompanying diagram, point P(0.6, −0.8) is on unit circle O. What is the value of θ, to the nearest degree?
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Suppose we are interested in bidding on a piece of land and we know one other bidder is interested. The seller announced that th
IgorLugansk [536]

Answer:

a) 0.32 = 32% probability that your bid will be accepted

b) 0.72 = 72% probability that your bid will be accepted

c) An amount in excess of $15,400.

Step-by-step explanation:

An uniform probability is a case of probability in which each outcome is equally as likely.

For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.

The probability that we find a value X lower than x is given by the following formula.

P(X \leq x) = \frac{x - a}{b-a}

Assume that the competitor's bid x is a random variable that is uniformly distributed between $10,400 and $15,400.

This means that a = 10400, b = 15400

a. Suppose you bid $12,000. What is the probability that your bid will be accepted (to 2 decimals)?

You will win if the competitor bids less than 12000. So

P(X \leq 12000) = \frac{12000 - 10400}{15400 - 10400} = 0.32

0.32 = 32% probability that your bid will be accepted

b. Suppose you bid $14,000. What is the probability that your bid will be accepted?

You will win if the competitor bids less than 14000. So

P(X \leq 14000) = \frac{14000 - 10400}{15400 - 10400} = 0.72

0.72 = 72% probability that your bid will be accepted

c. What amount should you bid to maximize the probability that you get the property (in dollars)?

His bid is uniformly distributed between $10,400 and $15,400.

So, to maximize the probability that you get the property, you should bid an amount in excess of $15,400.

6 0
2 years ago
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