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nekit [7.7K]
3 years ago
10

(NEED AN URGENT ANSWER) The sum of three consecutive integers is -96. What is the largest integer ?

Mathematics
1 answer:
Ainat [17]3 years ago
5 0

Answer:

-31

Step-by-step explanation:

Let x be the first integer

x+1 is the second integer

x+2  is the third integer

x+ x+1 + x+2 = -96

Combine like terms

3x+3 = -96

Subtract 3 from each side

3x+3-3 = -96-3

3x =-99

Divide by 3

3x/3 = -99/3

x = -33

The integers are

-33

-33+1 = -32

-33+2 = -31

The largest integer is -31


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Maksim231197 [3]

Answer:

A sample of 1077 is required.

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

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The margin of error is of:

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

42% of freshmen do not visit their counselors regularly.

This means that \pi = 0.42

98% confidence level

So \alpha = 0.02, z is the value of Z that has a pvalue of 1 - \frac{0.02}{2} = 0.99, so Z = 2.327.

How large of a sample size is required?

A sample size of n is required, and n is found when M = 0.035. So

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

0.035 = 2.327\sqrt{\frac{0.42*0.58}{n}}

0.035\sqrt{n} = 2.327\sqrt{0.42*0.58}

\sqrt{n} = \frac{2.327\sqrt{0.42*0.58}}{0.035}

(\sqrt{n})^2 = (\frac{2.327\sqrt{0.42*0.58}}{0.035})^2

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3 0
3 years ago
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Klio2033 [76]

Answer:

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First note that 12 1/2 = 12.5, and 2 1/2 = 2.5.

To work out how many hours it takes hime to drive one mile, we divide the number of hours (2.5) by the number of miles (12.5),

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Answer:

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hence,

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3 years ago
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