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gregori [183]
3 years ago
6

True expression -50x+ 100 represents the balance, in dollars, of a bank account after x months. What is the range of change, in

dollars per month, of the bank account balance?
Mathematics
1 answer:
JulijaS [17]3 years ago
5 0

Let

x--------> the number of months

y-------> represents the balance, in dollars, of a bank account

we know that

y=-50x+100

the rate of change is equal to the slope of the line

so

m=-50\frac{\$}{month}

therefore

<u>the answer is</u>

the rate of change is -50\frac{\$}{month}

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Not all visitors to a certain company's website are customers. In fact, the website administrator estimates that about 5% of all
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Answer:

0.0135 = 1.35% probability that, in a random sample of 4 visitors to the website, exactly 2 actually are looking for the website.

Step-by-step explanation:

For each visitor of the website, there are only two possible outcomes. Either they are looking for the website, or they are not. The probability of a customer being looking for the website is independent of other customers. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

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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.

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So 100 - 5 = 95% are looking for the website, which means that p = 0.95

Find the probability that, in a random sample of 4 visitors to the website, exactly 2 actually are looking for the website.

This is P(X = 2) when n = 4. So

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

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4 years ago
Hamburger sells 3 pounds for six dollars if Samantha 510 pounds of hamburger how much will she pay
Lina20 [59]
I believe you meant to say that if Samantha bought 510 pounds of hamburger, how much will she pay?
 
Now from the information we already have, we know that 3 pounds of hamburger will cost 6 dollars. 

The next thing we need to know is how much one pound of hamburger will cost. This will help us calculate  how much the rest will cost.

we now form an equation to assist us.
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1= x

(where x represents the unknown price of one pound of hamburger)

Now we must cross-multiply:

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x = 6/3

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therefore one pound of hamburger costs 2 dollars.

Now, If one pound costs 2 dollars, how about 510 pounds?

We simply multiply:  510 x 2 = 1,020

Therefore  Samantha will pay 1, 020 dollars for 510 pounds of hamburger.






5 0
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