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3 years ago

Please help I don’t understand

Mathematics

1 answer:

lesya [120]3 years ago

7 0

Answer:

2·8·7
8+2+7
12·5·3
3+5+12

Step-by-step explanation:

The properties of addition and multiplication allow you to rearrange and/or regroup the components of a sum or a product. That is the point of this exercise.

(2·8)·7 = 2·(8·7) . . . . parentheses have moved: associative property

2 + 7 + 8 = 8 + 2 + 7 . . . . order is rearranged: commutative property

5·3·12 = 12·5·3 . . . . . order is rearranged: commutative property

(3 +5) +12 = 3 +(5 +12) . . . . parentheses have moved: associative property

_____

<em>Additional comment</em>

Whenever you're in doubt about the equivalence of numerical expressions, you can use your calculator to evaluate them. They will give the same result if they are equivalent. (You need a good scientific or graphing calculator that uses parentheses for this. Some seriously good calculators are available as low-cost phone apps.)

The Google search box also serves as input to the Google calculator. You can use an asterisk (*) for multiplication.

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Answer:

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Step-by-step explanation:

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3 years ago

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3 years ago

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A random sample of 200 voters in a town is selected, and 114 are found to support an annexa- tion suit. Find the 96% confidence

EastWind [94]

Answer:

a) 96% CI: $0.51\leq\pi\leq 0.63$

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Step-by-step explanation:

The proportion of the sample is

$p=\frac{114}{200}=0.57$

The standard deviation of the sample proportion is

$\sigma=\sqrt{\frac{p(1-p)}{n} } =\sqrt{\frac{0.57(1-0.57)}{200} } =\sqrt{\frac{0.2451}{200} } =0.035$

For a 96% CI, the z-value is z=1.751.

Then, the 96% CI can be written as:

$p-z\cdot \sigma\leq\pi\leq p+z\cdot \sigma\\\\0.57-1.751*0.035\leq\pi\leq 0.57+1.751*0.035\\\\0.57-0.06\leq\pi\leq 0.57+0.06\\\\0.51\leq\pi\leq 0.63$

b) If we estimate that the fraction of voters is 0.57, we can claim with 96% confidence that the error is equal or less than 0.06 from the estimated proportion.

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4 years ago

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Answer:

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3 years ago

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Helen [10]

Answer:

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Explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

hope this helps! <3

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4 years ago

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