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Margarita [4]
2 years ago
9

Gabriel makes a model of a pyramid with the dimensions shown.

Mathematics
2 answers:
professor190 [17]2 years ago
6 0

Answer:

The Area of the square base is 114 In .2

The Area of each triangle face is 66 in .2

Gabriel will need 408 in .2 of paint

tresset_1 [31]2 years ago
5 0

Answer:

Step-by-step explanation:

The area of the square base is 144 in.2.

The area of each triangular face is 66 in2.

Gabriel will need 408 in2. of paint.

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Multiplying both sides of the equation by 3 and substituting 4 for p
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Dan says he ran twice as far as Karim what possiblities for the distance they each could run
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If Karim ran one mile, Dan ran two miles.
If Karim ran three miles, Dan ran six miles.
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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
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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
X + 20 is greater than 4x -1
Paul [167]

Answer:

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