Alice wants to put wall-to-wall carpeting in a small room with the floor plan shown.

Mathematics

1 answer:

AURORKA [14]4 years ago

3 0

I found the complete problem.

If Alice divides it into two trapezoids, the area formula would be: A = [(a+b) / 2] * h
Trapezoid 1
A = [(7.5 + 15)/2 * 5
A = (22.5/2) * 5
A = 11.25 * 5
A = 56.25 sq. ft

Trapezoid 2
A = [(5 + 10)/2 * 7.5
A = (15/2) * 7.5
A = 7.5 * 7.5
A = 56.25 sq. ft

Total area = 56.25 + 56.25 = 112.50 sq. ft.

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To convert centimeters to inches, we multiply the measurement in centimeters by 2.54. identify the type of relation between cent

Westkost [7]

Hey there! Hello!

This can be represented by the equation y=2.54x, where:

y=measurement in inches
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You can plug any value into this problem to reveal that this is a linear function. I provided a graph of this to further prove the point.

Hope this helped you out, feel free to ask any additional questions if you need further clarification! :-)

4 0

3 years ago

Please help- and explain if you can please- i'm not good with word problems

Kisachek [45]

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6 0

3 years ago

A simple random sample from a population with a normal distribution of 103 body temperatures has x overbarequals98.90degrees Upp

Shtirlitz [24]

Answer:

$98.90-1.984\frac{0.62}{\sqrt{103}}=96.98$

$98.90+ 1.984\frac{0.62}{\sqrt{103}}=100.82$

The 95% confidence interval would be given by (96.98;100.82)

Step-by-step explanation:

Information given

$\bar X=98.90$ represent the sample mean

$\mu$ population mean (variable of interest)

s=0.62 represent the sample standard deviation

n=103 represent the sample size

Confidence interval

The confidence interval for the mean is given by the following formula:

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

The degrees of freedom are given by:

$df=n-1=103-1=102$

Since the Confidence is 0.95 or 95%, the significance is $\alpha=0.05$ and $\alpha/2 =0.025$ , and the critical value for this case would be $t_{\alpha/2}=1.984$