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natulia [17]
4 years ago
11

Erwin flips a coin and rolls a standard number cube. Find the probability that the coin will show heads and the cube will show a

multiple of 3.
Mathematics
1 answer:
Tomtit [17]4 years ago
5 0

Answer:

flipping heads on a coin is a 1/2 chance, and multiples of three are 3 and 6, which is 1/3, thus, 1/2×1/3=1/5 there is a 1/5 chance Erwin will flip heads and roll a multiple of 3.

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Answer:

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Step-by-step explanation:

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) Beth wants to determine a 99 percent confidence interval for the true proportion p of high school students in the area who att
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Answer:

n has to be at least 16577.

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 level of 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}}

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This means that \pi = 0.5

99% confidence level

So \alpha = 0.01, z is the value of Z that has a pvalue of 1 - \frac{0.01}{2} = 0.995, so Z = 2.575.

About how large would n have to be to get a margin of error less than 0.01 for p

We have to find n for which M = 0.01. So

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

0.01 = 2.575\sqrt{\frac{0.5*0.5}{n}}

0.01\sqrt{n} = 2.575*0.5

\sqrt{n} = \frac{2.575*0.5}{0.01}

(\sqrt{n})^2 = (\frac{2.575*0.5}{0.01})^2

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Rounding up

n has to be at least 16577.

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3 years ago
Ryan is putting money into a savings account. He starts with $750 in the savings account, and each week he adds $30. Let S repre
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Answer:

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General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
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<u>Algebra I</u>

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Step-by-step explanation:

<u>Step 1: Define</u>

<em>Find points from graph</em>

Point (-2, 0)

Point (1, 5)

<u>Step 2: Find slope </u><em><u>m</u></em>

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Find functions f and g so that f of g = H.
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