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nexus9112 [7]
2 years ago
8

All members of our painting team paint at the same rate. If $8$ members can paint a specific wall in $36$ minutes, then how long

would it take $18$ members to paint the same wall, in minutes?
Mathematics
1 answer:
ozzi2 years ago
6 0

Answer:

  16 minutes

Step-by-step explanation:

Time is assumed to be inversely proportional to the number of members painting, so when the number of member is increased by a factor of 18/8, the time is expected to decrease by the factor 8/18 = 4/9.

  (4/9)(36 min) = 16 min

18 members can paint the wall in 16 minutes.

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A survey conducted five years ago by the health center at a university showed that 18% of the students smoked at the time. This
podryga [215]

Answer:

test statistic (Z) is 2.5767 and p-value of the test is .009975

Step-by-step explanation:

H_{0}: percentage of students who smoke did not change

H_{a}: percentage of students who smoke has changed

z-statistic for the sample proportion can be calculated as follows:

z=\frac{p(s)-p}{\sqrt{\frac{p*(1-p)}{N} } } where

  • p(s) is the sample proportion of smoking students (\frac{50}{200} =0.25)
  • p is the proportion of smoking students in the survey conducted five years ago (18% or 0.18)
  • N is the sample size (200)

Then, z=\frac{0.25-0.18}{\sqrt{\frac{0.18*0.82}{200} } } ≈ 2.5767

What is being surveyed is if the percentage of students who smoke has changed over the last five years, therefore we need to seek two tailed p-value, which is .009975.

This p value is significant at 99% confidence level. Since .009975 <α/2=0.005, there is significant evidence that the percentage of students who smoke has changed over the last five years

5 0
2 years ago
Now let the figure show a scale drawing of a park. The scale is 1 unit : 25 meters. What is the horizontal distance across the p
insens350 [35]

The question is missing the figure. So, the figure is attached below.

Answer:

C. 350 m

Step-by-step explanation:

Given:

Scale  is given as:

1 unit  : 25 meters

This means that 1 unit on the grid is equivalent to 25 meters in actual.

Now, from the figure, the horizontal distance across the park is 14 units.

1 unit = 25 meter

Now, we can find the actual distance using unitary method and thus multiplying 25 and 14 to get the actual distance across the park horizontally.

∴ 14 units = 25\times 14=350 meters.

Therefore, the horizontal distance across the park is 350 m in actual.

So, the correct option is option C.

7 0
2 years ago
A factory bottles 360 bottles of juice in 5 minutes. Find the factory's unit rate of bottles per minute.
castortr0y [4]

Find the unit rate by dividing 360 bottles by 5 minutes:

360 bottles

-------------------- = 72 bottles/minute

5 minutes

3 0
2 years ago
By visual inspection determine the best-fitting regression model for the data plot below
Pie

Answer:

Exponential

Step-by-step explanation:

By visual inspection the graph generated by the points plotted is an exponential graph as the graph curves upward. The graph is also continous and differs from either a decreasing or increasing Linear graph, which shows a straight best of fit pattern. Hence, the graph most closely represents an exponential graph from visual examination.

8 0
2 years ago
Read 2 more answers
Sixty-five campers arrive. Nine go home early. If 8 people sleep in 1 tent, how many tents will the campers need?
allsm [11]

65-9=56

56 divided by 8 is 7

So they will need 7 tents

4 0
2 years ago
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