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tigry1 [53]
2 years ago
8

A moving company is hired to take 578 clay pots to a florist shop. The florist will pay the moving company a $200 fee, plus $4 f

or every pot that is delivered safely. The moving company must pay the florist $5 each for any pots that are lost or broken. If 6 pots are lost, 12 pots are broken, and the rest are delivered safely, how much should the moving company be paid?
Mathematics
1 answer:
Sergio [31]2 years ago
3 0

Answer:

$596

Step-by-step explanation:

So, firstly, let's take all the essential info and put it in bullet points:

  • $200 moving fee
  • $4 for every pot delivered safley
  • $5 each per pot that is lost/broken

Next, what do we know about what's happened to the pots?

  • 6 pots are lost
  • 12 pots are broken
  • 578 pots are supposed to be delivered

Now, we know that there is a moving fee that we will definitely have to pay, no matter what. Let's add that to the side-

200

Now we need to cover broken/lost pots. We can add up 6+12, because it is the exact cost for lost and broken pots. 6+12=18, and now we have to multiply that by 5. 18*5=90.

So, we can subtract that from the total payment.

200-18=182

Lastly, we need to add the total price for all the adequately delivered pots that arrived safely. There are 578 pots, and because 18 were damaged, we need to add that to 578:

578+18=596

So, the total amount you would be paying is $596.

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Step-by-step explanation:

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Step-by-step explanation:

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We are studying the proportion of cities that have private garbage collector. We want a maximum error of 0.10 and a 95% confiden
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Answer:

The minimum number of cities we need to contact is 96.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence interval 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

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The margin of error is:

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So \alpha = 0.05, z is the value of Z that has a pvalue of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.

In this problem, we have that:

p = 0.5, M = 0.1

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

0.1 = 1.96*\sqrt{\frac{0.5*0.5}{n}}

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\sqrt{n} = 9.8

(\sqrt{n})^{2} = (9.8)^{2}

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The minimum number of cities we need to contact is 96.

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Step-by-step explanation:

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