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Scorpion4ik [409]
3 years ago
11

I have 120 cm of framing material to make a picture frame, which will be most pleasing to the eye if its height is 2/3 of its wi

dth. What dimensions should i use?
Mathematics
1 answer:
Ilia_Sergeevich [38]3 years ago
6 0

 

The formula for perimeter is:

<span>P = 2 h +  2 w</span>

where P is perimeter = 120 cm, h is height, w is width

we are also given that: h = (2/3) w, therefore:

P = 2 (2/3) w + 2 w = 120

(4/3) w + 2 w = 120

w = 36 cm

 

Therefore l is:

l = (2/3) w = 24 cm

 

<span>Hence the dimension should be 24cm by 36 cm</span>

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-40

Step-by-step explanation:

h(x) = -7(6) +2

-42+2 = -40

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Anybody have an answer?
lyudmila [28]

(3+2)^2+(5+4)^2=x^2\\ 5^2+9^2=x^2\\ 25+81=x^2\\ x^2=106\\ x\approx10.3

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Help for brianilist please!!!
Dima020 [189]
Hi there!!!

So using this rule:

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5 0
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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