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IrinaK [193]
3 years ago
12

The vertices of a triangle are located at P(0, 0), 0(4,3), and R(4,0).

Mathematics
1 answer:
LiRa [457]3 years ago
6 0

9514 1404 393

Answer:

  12

Step-by-step explanation:

The length of the hypotenuse, PQ, can be found from the Pythagorean theorem:

  PQ² = QR² +PR²

  PQ² = 3² + 4² = 25

  PQ = √25 = 5

The perimeter is the sum of side lengths:

  P = 3 + 4 + 5 = 12

The perimeter of this triangle is 12 units.

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If a= m2 + 2, what is the value of a when m=-3?<br> 0-7<br> -4<br> 11<br> 00
vladimir1956 [14]

Answer:

a=11

Step-by-step explanation:

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3 years ago
A population of monkeys' tail lengths is normally distributed with a mean of 25 cm with a standard deviation of 8 cm. I am prepa
Crank

Answer:

<em>The probability that the mean of my sample will be between 24 and 25 cm</em>

<em>P(24 ≤X⁻≤25) = 0.4772</em>

Step-by-step explanation:

<u><em>Step(i)</em></u>:-

<em>Given mean of the Population  'μ'= 25c.m</em>

<em>Given standard deviation of the Population 'σ' = 8c.m</em>

<em>Given sample size 'n' = 256</em>

<em>Let X₁ = 24</em>

<em></em>Z_{1}  = \frac{x_{1}-mean }{\frac{S.D}{\sqrt{n} } } = \frac{24-25}{\frac{8}{\sqrt{256} } } =  -2<em></em>

<em>Let X₂ = 25</em>

<em></em>Z_{2}  = \frac{x_{2}-mean }{\frac{S.D}{\sqrt{n} } } = \frac{25-25}{\frac{8}{\sqrt{256} } } = 0<em></em>

<u><em>Step(ii)</em></u><em>:-</em>

<em>The probability that the mean of my sample will be between 24 and 25 cm</em>

<em>P(24 ≤X⁻≤25) = P(-2≤ Z ≤0)</em>

                     = P( Z≤0) - P(Z≤-2)

                     = 0.5 + A(0) - (0.5- A(-2))

                     = A(0) + A(2)        ( ∵A(-2) =A(2)

                     = 0.000+ 0.4772

                     = 0.4772

<u><em>Final answer</em></u>:-

<em>The probability that the mean of my sample will be between 24 and 25 cm</em>

<em>P(24 ≤X⁻≤25) = 0.4772</em>

                     

4 0
3 years ago
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