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Crazy boy [7]
1 year ago
13

What is the volume of this triangular Pyramid photo attached

Mathematics
1 answer:
storchak [24]1 year ago
3 0

To find the volume of a triangular pyramid, the formula is:

V=\frac{1}{3}(Area\text{ }of\text{ }thebase)(height)

So we start by finding the area of the base, which is in the shape of a right triangle in this case.

The area of a right triangle is equal to 1/2 x base x height.

\begin{gathered} A=\frac{1}{2}bh \\  \\ A=\frac{1}{2}(5)(6) \\  \\ A=15\text{ square feet} \end{gathered}

We use this area to find the volume.

\begin{gathered} V=\frac{1}{3}Ah \\  \\ V=\frac{1}{3}(15)(6) \\  \\ V=30\text{ cubic feet} \end{gathered}

The volume of the triangular pyramid is 30 cubic feet.

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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
Summer School 2020 Math 8 NWLSD
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8 granola bars in each box

Step-by-step explanation:

The equation is 4x+5x=72

4x and 5x are like terms, so combine those 9x=72

Use the division property of equality to solve for x, x=8

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What is 5+5=????? WILL GIVE BRAINLY
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10 is the answer

Step-by-step explanation:

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3 years ago
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Find the value of x.
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Answer:

x = 57°

Step-by-step explanation:

The angle not 76° or x° is 180-133 which is 47°. A triangles angles always sum up to 180° so:

76°+47°+x°=180°

123°+x°=180°

x°=57°

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