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svlad2 [7]
3 years ago
7

Julie and Eric row their boat (at a constant speed) 18 miles downstream for 3 hours helped by the current. Rowing at the same ra

te, the trip back against the current takes 6 hours. Find the rate of the boat in still water
Mathematics
1 answer:
svp [43]3 years ago
5 0

Answer:

answer: the crews rowing rate is 6 mph and the rate of the current is 3 mph

Step-by-step explanation:

v the crew rowing rate

u rate of the current

downstream  v + u = 13.5/1.5 = 9 mph

upstream      v - u = 13.5/4.5 = 3 mph

u = 9 - v

v - ( 9 - v ) = 3

v - 9 + v = 3

2 v = 12

v 6 mph,   u 9 - 6 = 3 mph

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A doctor at a local hospital is interested in estimating the birth weight of infants. How large a sample must she select if she
Nataly_w [17]

Answer:

The minimum sample size needed is n = (\frac{1.96\sqrt{\sigma}}{4})^2. If n is a decimal number, it is rounded up to the next integer. \sigma is the standard deviation of the population.

Step-by-step explanation:

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 - 0.9}{2} = 0.05

Now, we have to find z in the Z-table as such z has a p-value of 1 - \alpha.

That is z with a pvalue of 1 - 0.05 = 0.95, so Z = 1.645.

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.

How large a sample must she select if she desires to be 90% confident that her estimate is within 4 ounces of the true mean?

A sample of n is needed, and n is found when M = 4. So

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

4 = 1.96\frac{\sigma}{\sqrt{n}}

4\sqrt{n} = 1.96\sqrt{\sigma}

\sqrt{n} = \frac{1.96\sqrt{\sigma}}{4}

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

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

The minimum sample size needed is n = (\frac{1.96\sqrt{\sigma}}{4})^2. If n is a decimal number, it is rounded up to the next integer. \sigma is the standard deviation of the population.

4 0
3 years ago
The following prism has a base area of 20\pi20π20, pi square units and a volume of 120\pi120π120, pi cubic units. The cylinder h
vivado [14]

Given:

A prism has a base area of 20\pi square units and a volume of 120\pi cubic units.

To find:

The volume of the cylinder if the cylinder has the same base area and height.

Solution:

Volume of a prism is:

V=Bh

Where, B is the base area and h is the height of the prism.

The volume of cylinder is:

V=\pi r^2h

V=Bh

Where, r is the radius, h is the height of the cylinder and B=\pi r^2 is the base area.

Since base area and height of the cylinder are same as the prism, therefore, there volumes are equal.

Hence the volume of the cylinder is 120\pi cubic units.

3 0
3 years ago
What is the least common denominator of 2/9 and 2/3
julsineya [31]

Answer:

2\9=1

2\3=1

Step-by-step explanation:

3 0
3 years ago
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Answer:

translate horizontally 5 units left

5 0
2 years ago
12 to the third power?
ser-zykov [4K]

Answer:

1728

Step-by-step explanation:

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4 0
3 years ago
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