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Alina [70]
3 years ago
6

The perimeter of a rectangle is 63cm.The length of its shorter side is 9cm.Find its area

Mathematics
2 answers:
kodGreya [7K]3 years ago
5 0

Answer:

202.5cm^2

Step-by-step explanation:

P=2l+2w

63=2(9)+2w

63=18+2w

63-18=2w

45=2w

divide both sides by 2

22.5=w

check:

P=2(9)+2(22.5)

=18+45

=63

Area=l×w

=22.5×9

=202.5cm²

DENIUS [597]3 years ago
3 0

Answer:

A = 202.5 cm²

Step-by-step explanation:

P = 63 = 2×9 + 2w

2w = 63 - 18

2w = 45

w = 22.5 cm

A = w×l = 9×22.5 = 202.5 cm²

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3 years ago
In order to determine the average price of hotel rooms in Atlanta, a sample of 64 hotels was selected. It was determined that th
deff fn [24]

Answer:

The decision rule is  

Fail to reject the null hypothesis

The conclusion is  

There is no sufficient evidence to show that the average room price is significantly different from $108.50

Step-by-step explanation:

From the question we are told that

   The sample size is  n = 64

    The average price is  \= x  = \$ 112

    The population standard deviation is  \sigma  = \$ 16

     The level of significance is  \alpha  = 0.05

    The population mean is  \mu = \$ 108.5

The null hypothesis is  H_o :  \mu = 108.50

The alternative hypothesis is  H_a  :  \mu \ne  108.50

Generally the test statistics is mathematically represented as

       z = \frac{\= x - \mu }{ \frac{ \sigma}{\sqrt{n} } }

=>    z = \frac{112 - 108.50 }{ \frac{ 16}{\sqrt{64} } }  

=>    z = 1.75

From the z table  the area under the normal curve to the left corresponding to  1.75  is  

       P( Z >  1.75) = 0.040059

Generally  p-value is mathematically represented as

        p-value = 2 * P( Z >  1.75)

=>     p-value = 2 * 0.040059

=>     p-value = 0.08012

From the values obtained we see that  p-value  > \alpha hence

The decision rule is  

Fail to reject the null hypothesis

The conclusion is  

There is no sufficient evidence to show that the average room price is significantly different from $108.50

 

3 0
3 years ago
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Answer:

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Step-by-step explanation:

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8*3x + (8*7) = 24x+56

4 0
3 years ago
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