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Maru [420]
3 years ago
14

If a boat traveled 27 miles in 2 hours . At this rate how many miles will the boat travel in 1/2 hour?

Mathematics
1 answer:
ozzi3 years ago
4 0

The boat traveled 6.75 miles in half an hour. You get this by dividing 27 by 4 (because there is 4 half hour segments in 2 hours).

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In recent years more people have been working past the age of 65. In 2005, 27% of people aged 65–69 worked. A recent report from
Taya2010 [7]

Answer:

a) The point estimate of the proportion of people aged 65–69 who are working is p=0.3 or 30%.

b) We can express this null and alternative hypothesis as:

H_0: \pi=0.27\\H_1:\pi\neq0.27

c) We conclude that there is not enough evidence that the proportion of people aged 65–69 who are working has increased from 2005.

Step-by-step explanation:

a) Develop a point estimate of the proportion of people aged 65–69 who are working

If we take into account the sample taken, the point estimate is

p=\frac{180}{600} =0.3

b) Set up a hypothesis test so that the rejection of h0 will allow you to conclude that theproportion of people aged 65–69 working has increased from 2005

To conclude some claim, we have to reject the null hypothesis. In this case, to claim that the proportion has changed and the mean is no longer 27%, we have to reject the null hypotesis that π=0.27.

We can express this null and alternative hypothesis as:

H_0: \pi=0.27\\H_1:\pi\neq0.27

c) Conduct your hypothesis test using α=0.05. What is your conclusion?

First we calculate the standard deviation, as we will need it to calculate the test statistic:

\sigma=\sqrt{\frac{\pi(1-\pi)}{N} } =\sqrt{\frac{0.27(1-0.27)}{600} }=0.01812

In this case, we have a test statistic of

z=\frac{p-\pi-0.5/N}{\sigma} =\frac{0.3-0.27-0.5/600}{0.01812}=1.61

If we take into account that it is a two-tailed test, P-value for z=1.61 is P=0.1074.

As the P-value is bigger than the significance level, the effect is not statistically significant, so the hypothesis can not be rejected.

We conclude that there is not enough evidence that the proportion of people aged 65–69 who are working has increased from 2005.

8 0
3 years ago
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Which point on the number line best represents the location of 78?
Sliva [168]

Answer:

Can you show the whole question

5 0
3 years ago
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In the number 252 the 2 in the ones place is ____the value of the 2 in the hundreds place
castortr0y [4]

The value of the 2 in the hundreds place is 200.

The value of the 2 in the ones place is 2.

Hope it helped! :)

7 0
3 years ago
There are 12 students in a homeroom wearing a school t-shirt these students make up 60% of the class how many students are in th
Yuki888 [10]

Answer:

there is a total of 20 students in the class because 60% of 20 is 12

Step-by-step explanation:

pls answer my recent question :(

7 0
3 years ago
50% of the apartments in a certain building have windows and hardwood floors. 25% of the apartments without windows have hardwoo
alexdok [17]

Answer:E 83\frac{1}{3}

Step-by-step explanation:

50% of the apartment in a certain building have windows and hardwood floors.

25% of the remaining 50% apartment without window have hardwood floors.

40% of the apartment do not have hardwood floors i.e. 60 % have hardwood floor

Therefore percent of the apartments with windows have hardwood floors is

=\frac{50 percent of total\ apartment }{60\ percent\ of\ apartment}

=83\frac{1}{3}%

6 0
3 years ago
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