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dmitriy555 [2]
3 years ago
14

A triangle has a side lengths of 3 centimeters, 5 centimeters, and 4 centimeters. Abe used converse of the Pythagorean Theorem t

o determine whether it is a right triangle.
3^2 + 5^2 = 4^2
9 + 25 = 16
34 ≠ 16

Abe concluded that it is not a right triangle. Is Abe correct? ​
Mathematics
1 answer:
fgiga [73]3 years ago
8 0
No, Abe is incorrect.

If you don’t know which side is the hypotenuse, you have to try every possibility.

3^ + 4^ = 5^
25 = 25

The triangle is a right triangle. The side which is 5 cm long is the hypotenuse.
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Monthly amount, M = $102×4 = $408.

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A random sample of 300 circuits generated 13 defectives. Use the data to test the hypothesis Upper H Subscript 0 Baseline colon
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Complete Question

A random sample of 300 circuits generated 13 defectives. a. Use the data to test

                            H_o : p = 0.05

Versus

 

                          H_1 : p \ne 0.05

Use α = 0.05. Find the P-value for the test

   

Answer:

The  p-value is  p-value =  0.5949        

Step-by-step explanation:

From the question we are told that

  The sample size is  n = 300

    The number of defective circuits is  k = 13

Generally the sample proportion of defective circuits is mathematically represented as

        \^ p = \frac{k}{n}

=>     \^ p = \frac{13}{300}

=>     \^ p = 0.0433

Generally the standard Error is mathematically represented as

       SE  = \sqrt{\frac{p(1- p)}{n} }

=>     SE  = \sqrt{\frac{0.05(1- 0.05)}{300} }

=>     SE  = 0.0126

Generally the test statistics is mathematically represented as

       z =  \frac{\^ p - p }{SE}

=>     z =  \frac{0.0433 - 0.05 }{0.0126}

=>     z =  -0.5317

From the z table  the area under the normal curve to the left  corresponding to  -0.5317  is

         (P < -0.5317 ) = 0.29747

Generally the p-value is mathematically represented as

       p-value =  2 * P(Z <  -0.5317 )

=>     p-value =  2 * 0.29747

=>     p-value =  0.5949        

     

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