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xxTIMURxx [149]
3 years ago
5

PLEASE HELP ASAP 40% of my grade relies on this question!!!!!!!

Mathematics
1 answer:
nikitadnepr [17]3 years ago
6 0

Answer:

To solve this, make d the subject from the eqn.

b =  -  \frac{1}{c} da

d =  -  \frac{cb}{a}

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The ordered pair that represents a maximum is (5,189)
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My maths problems is it right not sure if I did it right. Thanks
slega [8]
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4 0
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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
If 9a+5b+5c=9 what is -10c-18a-10b?
Rus_ich [418]
9a + 5b + 5c = 9

Multiplying the whole equation by -2.

-18a - 10b - 10c = -18.

Hence, the answer is -18.
6 0
3 years ago
100 is divisible by which of the following numbers 2,3,4,5,6,9 or 10?
pochemuha
The correct answer is B: 2,4,5, 10

We know that 100 is not divisible by 3 because 100/3 is 33.33 repeating, which is an irrational number.

We also know that 100 is not divisible by 6 because 100/6 is 16.66 repeating which is also an irrational number.

100/2=50 (rational)
100/4=25 (rational)
100/5=20 (rational)
100/10=20 (rational)

Hope this helps!
6 0
3 years ago
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