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Klio2033 [76]
3 years ago
5

Maryam has decided to build a rectangular garden against an existing brick wall. She wishes to enclose the largest possible area

using 100 m of edging material that she has purchased. What is the largest possible area that the garden can have?
Mathematics
1 answer:
liubo4ka [24]3 years ago
5 0

Answer:

2500m²

Step-by-step explanation:

Maryam has an edging material which is 100m in dimension.

  To find the maximum possible area for this expanse of space, we must set the dimensions equal to that of a square

In essence, from the 100m edging material,  the maximum area would be:

        L = 50m and B = 50m

The largest possible area = l x b  = 50 x 50 = 2500m²

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he Nassau Bahamas Community College (NBC) claims that students who take statistics spend on average 19 hours a week working. The
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Using the t-distribution, it is found that since the <u>test statistic is greater than the critical value</u> for the right-tailed test, it is found that there is enough evidence to conclude that the students' claim that they work more than 19 hours is correct.

At the null hypothesis, it is <u>tested if they spend on average 19 hours a week working</u>, that is:

H_0: \mu = 19

At the alternative hypothesis, it is <u>tested if they spend more than 19 hours a week working</u>, that is:

H_1: \mu > 19

We have the <u>standard deviation for the sample</u>, hence, the <em>t-distribution</em> is used.

The test statistic is given by:

t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}

The parameters are:

  • \overline{x} is the sample mean.
  • \mu is the value tested at the null hypothesis.
  • s is the standard deviation of the sample.
  • n is the sample size.

Searching the problem on the internet, it is found that the values of the <em>parameters </em>are:

\overline{x} = 24.2, \mu = 19, s = 12.59, n = 25

Hence, the value of the <em>test statistic</em> is:

t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}

t = \frac{24.2 - 19}{\frac{12.59}{\sqrt{25}}}

t = 2.07

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Since the <u>test statistic is greater than the critical value</u> for the right-tailed test, it is found that there is enough evidence to conclude that the students' claim that they work more than 19 hours is correct.

To learn more about the t-distribution, you can take a look at brainly.com/question/13873630

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