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Dafna11 [192]
4 years ago
6

The links of the legs of a right triangle are 9 cm and 12 cm what is the length of a hypo hypotenuse

Mathematics
2 answers:
Marat540 [252]4 years ago
8 0

Hello!

To find the hypotenuse of a right triangle, we use the formula: a² + b² = c². In this formula, which is also known as the Pythagorean Theorem, a and b are the legs of the right triangle, and c is the hypotenuse, which is the value we are trying to find.

The value of leg a is 9 centimeters, and value of leg b is 12 centimeters. With those values, we can substitute it into our equation and solve.

(9)² + (12)² = c² (simplify the exponent)

81 + 144 = c² (simplify)

225 = c² (take the square root of both sides)

c = 15

Therefore, the length of the hypotenuse is 15 centimeters.

AfilCa [17]4 years ago
5 0
To find this out, you use the Pythagorean theorem which is;

a^2 + b^2 = c^2

where a & b are the legs and c is the hypotenuse. now simply plug them in their rightful place and solve.

9^2 + 12^2 = c^2

81 + 144 = c^2

225 = c^2

15 = c

hope this helped, blessings :)
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2. The mean birth weight of a full term boy born in the US is 7.7 lbs, with standard deviation of 1.1 lbs. A. Find the probabili
Fed [463]

Answer:

A

The value is P( X  <  7 ) =0.26226

B

The value is P( X  <  7 ) = 0.00073

Step-by-step explanation:

From the question we are told that

  The population mean is  \mu = 7.7 lbs

   The standard deviation is \sigma  = 1.1 \ lbs

  The sample size is  n =  25

Generally the probability that a boy born full term in the US weighs less than 7 lbs is mathematically represented as

     P( X  <  7 ) =  P( \frac{X - \mu }{\sigma}  <  \frac{7 - 7.7 }{1.1 } )

\frac{X -\mu}{\sigma }  =  Z (The  \ standardized \  value\  of  \ X )

=>   P( X  <  7 ) =  P(Z

From the z table  the area under the normal curve to the left corresponding to    -0.6364  is

    P(Z

=>   P( X  <  7 ) =0.26226

Generally the standard error of mean is mathematically represented as  

       \sigma_{x} = \frac{\sigma }{\sqrt{n} }

=>     \sigma_{x} = \frac{ 1.1  }{\sqrt{25} }

=>     \sigma_{x} = 0.22

Generally the probability that the average weight of 25 baby boys born in a particular hospital have an average weight less than 7 lbs is mathematically represented as

         P( \= X  <  7 ) =  P( \frac{\= X - \mu }{\sigma_{x}}  <  \frac{7 - 7.7 }{ 0.22 } )

=>      P( X  <  7 ) =  P(Z

From the z table  the area under the normal curve to the left corresponding to    -3.1818  is

=>      P(Z

=>      P( X  <  7 ) = 0.00073

4 0
3 years ago
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