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Sergeu [11.5K]
3 years ago
7

Give the values of a, b, and c from the general form of the equation (2x + 1)(x - 2) = 0.

Mathematics
1 answer:
balandron [24]3 years ago
7 0

(2x+1)(x-2) = 0

Multiplying the factors we obtain:

2x\cdot x+2x\cdot (-2)+1\cdot x+1\cdot (-2)=0

2x^2-4x+x-2=0

2x^2-3x-2=0

The general form of quadratic equation is:

ax^2+bx+c=0

Therefore,

a=2

b=-3

c=-2

The correct answer is the first one.

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Delicious77 [7]

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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What is the formula for a confidence interval?
ikadub [295]

Answer:

a) The formula is given by mean \pm the margin of error. Where the margin of error is the product between the critical value from the normal standard distribution at the confidence level selected and the standard deviation for the sample mean.

b) \bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".  

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If the distribution for X is normal or if the sample size is large enough we know that the distribution for the sample mean \bar X is given by:

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Part a

The formula is given by mean \pm the margin of error. Where the margin of error is the product between the critical value from the normal standard distribution at the confidence level selected and the standard deviation for the sample mean.

Part b

The confidence interval for the mean is given by the following formula:  

\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}

5 0
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Drag the tiles to match each measurement with an equivalent measurement.
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Answer:

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6 pints                    12 cups

16 pints                   8 quarts

8 fluid ounces        1 cup

8 pints                    1 gallon

Step-by-step explanation:

1 gallon = 4 quarts

1 quart = 2 pints

1 pint = 2 cups

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Measurement        Equivalent Measurement

6 pints                    12 cups

16 pints                   8 quarts

8 fluid ounces        1 cup

8 pints                    1 gallon

8 0
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