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3 years ago

If a metric ton has 1,000 kilograms how much does the ship weigh in kilograms

1 answer:

6 0

The average cargo ship usually weighs aroud 560,000 metric tons. As per calculations for metric tons, which is made up of 1,000 kg per single metric ton, the average cargo ship will usually measure around 560,000,000 kilograms. Note that this is expected to increase since this is the estimated amount only.

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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

What fractions are equivalent to 25/45

Genrish500 [490]

Its 5/9 divide by five

4 0

2 years ago

Read 2 more answers

Multiply: x (x^2+2x+4) and -2 (x^2+2x+4) Combine like terms. Final Answer:

natulia [17]

Answer:

x^3-8

Step-by-step explanation:

x^3+2x^2+4x + -2x^2-4x-8

+2x^2 and -2x^2 cancel out

+4x and -4x cancel out

5 0

3 years ago

Rate of change between (2,11) and (8,14)

SCORPION-xisa [38]

Answer:

1/2

Step-by-step explanation:

the rate of change is = the change in y/ the change in x

if the points are (2, 11) and (8, 14)

Rate of change = (14-11) / (8-2) = 3 / 6 = 1/2

8 0

2 years ago

Which value of x is in the solution set of the following inequality. -3x +5 >7

Vadim26 [7]

I’m not sure if this was a typo, but A and B are the same answer. A and B are correct, because when you solve this the answer has to be anything less than -0.6.

8 0

3 years ago