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3 years ago

12

What is the probability of choosing an ace from a deck of cards? Type your answer as a fraction.

1 answer:

Igoryamba3 years ago

8 0

Answer:

Step-by-step explanation:

there are 52 cards in a deck, there are 4 aces. This would create a fraction of 4/52. (using the probaility set up of what I want over the total of everything). I hope this helps!

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Find the slope of the line in simplest form (8, 9) (-7, 14)

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Slope= -1/3
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3 years ago

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

True [87]

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

Z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

The margin of error is:

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

95% confidence interval

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:

$p = 0.5, M = 0.1$

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

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

$0.1\sqrt{n} = 0.98$

$\sqrt{n} = 9.8$

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

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

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3 years ago

The basketball team is selling t-shirts for $9 each. On Monday, they sell 4 t-shirts. On Tuesday, they sell 5 times as many t-sh

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Read 2 more answers

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Answer:

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Step-by-step explanation:

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ExtremeBDS [4]

For this problem, you would have to use a system of equations. Hope this helps!

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3 years ago