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olasank [31]
3 years ago
8

Hi! I attached the question ​

Mathematics
2 answers:
velikii [3]3 years ago
7 0

Answer:

Yes, By SAS

Step-by-step explanation:

I did the quiz and this was the answer, Hope This Helps! :D

kolbaska11 [484]3 years ago
7 0

Answer:

yes by sas

Step-by-step explanation:

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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
A ball is thrown vertically upward from the ground with an initial velocity of 111 ft/sec. Use the quadratic function h(t) = −16
ddd [48]

Answer:

t=3.5 seconds

Step-by-step explanation:

Given

h(t) = −16t^2 + 111t + 0

h'(t)= -32t + 111

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h(t)= -32t + 111=0

-32t + 111=0

-32t=-111

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t=3.46872

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Recall,

Maximum height occurs when h(t) = 0

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= -32(3.46872)+111

= -110.99904+111

= 0.00096 ft

4 0
3 years ago
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Stels [109]

Answer:

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Step-by-step explanation:

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The answer is a rational number is one integer divided by another, and can be represented in either decimal of fraction form. The explanation behind this is visualize you are using long division to divide one number by one more.  You divide, and then you acquire a remainder. Then you carry down a zero (multiply by ten) and divide again.  Well, there are only so many balances you could perhaps have.  For example, for 5, your choices are 0, 1, 2, 3, and 4.  Sooner or later, you will replicate a remainder, at which fact you will just keep dividing the same method you did last time you saw that remainder -- and that's the reason why it repeats.

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