A triangle has three sides(4x),(2x-6),and(10-x). Using the variable x, write an expression to define the perimeter

Mathematics

2 answers:

bezimeni [28]4 years ago

8 0

Answer:

5x+4

Step-by-step explanation:

well the perimeter is the sum of all sides

so we have

$P=4x+2x-6+10-x\\\\P=(4x+2x-x)+(-6+10)\\\\P=5x+4$

crimeas [40]4 years ago

7 0

Answer:

P = 5x+4

Step-by-step explanation:

To find the perimeter, sum the sides

A triangle has 3 sides

P = 4x+ 2x-6 + 10-x

Combine like terms

P = 4x+2x-x -6+10

P = 5x +5

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Answer:

0.78

Step-by-step explanation:

We have the next probability distribution:

X P(X)

0 0.2

1 0.3

2 0.5

As we can see when we add all the probabilites the result is 1. Now calculating the mean we have:

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The standard deviation is:

$\sigma=\sqrt{\sum(x-\mu)^{2}(P(x))}$

Then using the data that we have:

$\sigma=\sqrt{\sum(x-\mu)^{2}(P(x))}\\\sigma=\sqrt{(0-1.3)^{2}(0.2)+(1-1.3)^{2}(0.3)+(2-1.3)^{2}(0.5)}\\\\\sigma=\sqrt{(-1.3)^{2}(0.2)+(-0.3)^{2}(0.3)+(0.7)^{2}(0.5)}\\\\\sigma=\sqrt{(1.69)(0.2)+(0.09)(0.3)+(0.49)(0.5)}\\\\\sigma=\sqrt{0.338+0.027+0.245}\\\\\sigma=\sqrt{0.61}\\\\\sigma=0.78\\$