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Rainbow [258]
3 years ago
13

Help me please): I’m stuck like really stuck

Mathematics
1 answer:
julia-pushkina [17]3 years ago
6 0
Area = pi x radius squared... so
a = pi x 10in^2
a = 314.159
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Brewed decaffeinated coffee contains some caffeine. We want to estimate the amount of caffeine in 8 ounce cups of decaf coffee a
rusak2 [61]

Answer:

We would have to take a sample of 62 to achieve this result.

Step-by-step explanation:

Confidence level of 95%.

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1 - 0.95}{2} = 0.025

Now, we have to find z in the Ztable as such z has a pvalue of 1 - \alpha.

That is z with a pvalue of 1 - 0.025 = 0.975, so Z = 1.96.

Now, find the margin of error M as such

M = z\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

Assume that the standard deviation in the amount of caffeine in 8 ounces of decaf coffee is known to be 2 mg.

This means that \sigma = 2

If we wanted to estimate the true mean amount of caffeine in 8 ounce cups of decaf coffee to within /- 0.5 mg, how large a sample would we have to take to achieve this result?

We would need a sample of n.

n is found when M = 0.5. So

M = z\frac{\sigma}{\sqrt{n}}

0.5 = 1.96\frac{2}{\sqrt{n}}

0.5\sqrt{n} = 2*1.96

Dividing both sides by 0.5

\sqrt{n} = 4*1.96

(\sqrt{n})^2 = (4*1.96)^2

n = 61.5

Rounding up

We would have to take a sample of 62 to achieve this result.

8 0
3 years ago
Please help I’ll give brainliest
Minchanka [31]

Answer:

the answer which you have opted is perfect

6 0
3 years ago
Read 2 more answers
C. A rational number is a number that can be expressed as a fraction with both the
Dmitriy789 [7]

Answer:

Step-by-step explanation:

Rational expressions are bascially an expression where one polynomial is divided by another.  And a polynomial is a series of terms like ax^b added together, where the exponents, what I labeled as b, need to be positive integers.

6 0
3 years ago
What is (a+2)(a+2) make sure to multiply
a_sh-v [17]

Answer:

a² + 4 a + 4

Step-by-step explanation:

( a + 2 ) ( a + 2 )

Expand brackets

a² + 2 a + 2 a + 4

Simplify

a² + 4 a + 4

7 0
3 years ago
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The sales tax rate is 5%. If Rebecca buys a lawn mower priced at $61, how much tax will she pay?​
bezimeni [28]

Answer:

3.05

Step-by-step explanation:

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2 years ago
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