I have one answer I need the other one simply help quick I put 100 points

Mathematics

2 answers:

Murljashka [212]3 years ago

8 0

Answer:

4/18 = 2/9 = 8/36

aliina [53]3 years ago

3 0

Answer:

2/9

Step-by-step explanation:

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Which is an equation of the line through (-1, -4) and parallel to the line 3x + 7 = 5

ehidna [41]

Your original equation has no y-variable. It results in x = -2/3 when you solve for x which is a vertical line. Thus, if you want a line parallel to this that goes through point (- 1, - 4), you just set x equal to the x-value in that ordered pair.

Your parallel line is x = - 1.

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3 years ago

The following function is probability mass function. f left-parenthesis x right-parenthesis equals StartFraction 2x plus 1Over 2

lora16 [44]

Answer:

a) Mean = 2.6

B) Variance = 9.2

Step-by-step explanation:

We are given the following probability mass function in the question:

$F(x) = \dfrac{2x+1}{25}, x = 0,1,2,3,4$

a) Mean of random variable

$\mu = \displaystyle\sum x_iF(x_i)\\\\=0(\dfrac{1}{25}) + 1(\dfrac{2+1}{25}) + 2(\dfrac{4+1}{25}) + 3(\dfrac{6+1}{25}) + 4(\dfrac{8+1}{25})\\\\=\dfrac{3+10+21+36}{25} = \dfrac{70}{25} = 2.8$

b) Variance of the random variable

$\sigma^2 = \displaystyle\sum x_i^2F(x_i)\\\\=0^2(\dfrac{1}{25}) + 1^2(\dfrac{2+1}{25}) + 2^2(\dfrac{4+1}{25}) + 3^2(\dfrac{6+1}{25}) + 4^2(\dfrac{8+1}{25})\\\\=\dfrac{3+20+63+144}{25} = \dfrac{230}{25} = 9.2$