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Eva8 [605]
4 years ago
14

Please help area and perimeter of functions

Mathematics
2 answers:
nalin [4]4 years ago
5 0

Answer:

= 150 square units

Step-by-step explanation:

Area of a right triangle is given by the formula;

1/2 bh ; where b is base and h is the height of the triangle

using Pythagoras  theorem, we can find the height;

h² = 20² - 16²

h = √144

  = 12 units

The base of the small triangle can also be found using Pythagoras theorem;

b² = 15² - 12²

b  = √ 81

   = 9

Therefore;

Area = 1/2 bh

        = 1/2 × 12 × (16+9)

        = 1/2 × 12 × 25

        = 6 × 25

        = 150 square units or 150 u²

     

valkas [14]4 years ago
5 0
150 square units .........
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Answer:

Case n =5

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Case n =15

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Case n =5

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Case n =15

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Case n =40

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Step-by-step explanation:

Data given and notation  

\bar X=4.8 represent the sample mean

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n sample size  

\mu_o =5 represent the value that we want to test  

\alpha represent the significance level for the hypothesis test.  

z would represent the statistic (variable of interest)  

p_v represent the p value for the test (variable of interest)  

State the null and alternative hypotheses.  

We need to conduct a hypothesis in order to check if the mean is lower than 5, the system of hypothesis would be:  

Null hypothesis:\mu \geq 5  

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Since we know the population deviation, is better apply a z test to compare the actual mean to the reference value, and the statistic is given by:  

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Calculate the statistic  

We can replace in formula (1) the info given like this:  

Case n =5

z=\frac{4.8-5}{\frac{0.5}{\sqrt{5}}}=-0.894  

Case n =15

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Case n = 40

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Since is a left tailed test the p value would be:  

Case n =5

p_v =P(z  

Case n =15

p_v =P(z  

Case n =40

p_v =P(z  

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Step-by-step explanation:


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