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grin007 [14]
3 years ago
5

Emma is building a wall around her garden. It has taken 45 minutes,and she is 75% done. What is the total time it will take Emma

to finish building her wall?
Mathematics
2 answers:
Morgarella [4.7K]3 years ago
5 0
Hey there,
It take 45 min to complete 75% of the wall
1% = 45 / 75
      = 0.6
100 % = 0.6 x 100
           = 60 min
It takes her 60 mins or 1 hour to finish building the wall.

Hope this helps :))

~Top♥
kiruha [24]3 years ago
3 0

Answer:

The answer is 60 min.

Step-by-step explanation:

In order to determine the total time, we have to know about direct proportionality.

In math, two variables are said to be in a relation of direct proportionality if one variable increases, the other will increase too and the rate of both is a constant. The value of this constant is called the coefficient of proportionality.

In this case, if emma spends more time in the wall, she will build more wall.

So the constant is:

\frac{time}{percentage}=k\\\frac{45}{75}=k\\0.6=k

Now, applying this constant to a 100%:

T=total time

\frac{T}{100}=k=0.6\\T=100*0.6\\T=60

Finally, the total time is 60 min.

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3 years ago
36 out of 100 randomly selected taxpayers knew about tax incentives for installing energy-saving furnaces. Find a 90% confidence
tresset_1 [31]

Answer:

The 90% confidence interval for the population proportion who knew about the incentives is (0.28, 0.44).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

For this problem, we have that:

n = 100, \pi = \frac{36}{60} = 0.6

90% confidence level

So \alpha = 0.1, z is the value of Z that has a pvalue of 1 - \frac{0.1}{2} = 0.95, so Z = 1.645.

The lower limit of this interval is:

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The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.36 + 1.645\sqrt{\frac{0.36*0.64}{100}} = 0.44

The 90% confidence interval for the population proportion who knew about the incentives is (0.28, 0.44).

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