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2 years ago

Expand and simplify 6(2x - 3) – 2(2x + 1)

Mathematics

1 answer:

Charra [1.4K]2 years ago

3 0

Answer 8x - 20

Step-by-step explanation:

6(2x - 3) - 2(2x + 1)

Distribute

6(2x) -6( 3) - 2(2x) -2( 1)

12x -18 -4x -2

Combine like terms

12x -4x -18 -2

8x-20

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The answer would be 6.2 then 7

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3 years ago

A cheese processing company wants to estimate the mean cholesterol content of all one-ounce servings of a type of cheese. The es

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Answer:

The minimum sample size required to construct a 95% confidence interval for the population mean is 65.

Step-by-step explanation:

We are given the following in the question:

Population standard deviation,

$\sigma = 3.10\text{ milligrams}$

We need to construct a 95% confidence interval such that the estimate is within 0.75 milligrams of the population mean.

Thus, the margin of error must me 0.75

Formula for margin of error:

$z_{critical}\times \dfrac{\sigma}{\sqrt{n}}$

$z_{critical}\text{ at}~\alpha_{0.05} = 1.96$

Putting values, we get,

$0.75 = 1.86\times \dfrac{3.10}{\sqrt{n}}\\\\\sqrt{n} = \dfrac{1.96\times 3.10}{0.75}\\\\\sqrt{n} = 8.101\\\Rightarrow n = 65.63\approx 65$

Thus, the minimum sample size required to construct a 95% confidence interval for the population mean is 65.

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2 years ago

For a health assignment, Janet and Kate record how many students wear glasses in each of their classes. In Janet's class, 15 out

prohojiy [21]

Answer:

There are equal ratios

Step-by-step explanation:

100/25=4 and 15x4 is 60

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2 years ago

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What's the area of these two shapes please explain!

Sophie [7]

Answer:

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Step-by-step explanation:

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2 years ago

The cost of item A is $8 and the

yKpoI14uk [10]

Answer: the number of item A that you sold is 11

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Step-by-step explanation:

Let x represent the number of item A that you sold.

Let y represent the number of item B that you sold.

The total number of item A and item B sold is 13. This means that

x + y = 13

The cost of item A is $8 and the

cost of item B is $4. The total amount if money made is $88. This means that

8x + 4y = 88 - - - - - - - - - -1

Substituting x = 13 - y into equation 1, it becomes

8(13 - y) + 4y = 88

104 - 8y = 88

8y = 104 - 88 = 16

y = 16/8 = 2

x = 13 - y = 13 - 2 = 11

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2 years ago

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