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Dmitrij [34]
3 years ago
9

PLEASE HELP ME! WILL NAME BRAINLIEST

Mathematics
1 answer:
olya-2409 [2.1K]3 years ago
3 0

Answer:

y= -x+5

Step-by-step explanation:

The equation of a line is usually written in the form of y=mx+c, where m is the gradient and c is the y-intercept.

Let's find the value of m first.

The product of the gradients of 2 perpendicular line is -1.

Given line: y= x -10

Gradient of given line= 1

m(1)= -1

m= -1

y= -x+c

To find c, substitute a coordinate.

when y= -5, x=10,

-5= -10 +c

c= 10-5 (+10 on both sides)

c=5 (simplify)

Thus, the equation is y= -x +5.

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Answer:

x = -13

Step-by-step explanation:

-5(x - 1) = -7(x + 3)

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8 0
3 years ago
xP(x)00.2510.0520.1530.55Find the standard deviation of this probability distribution. Give your answer to at least 2 decimal pl
Nookie1986 [14]

The Solution:

Given:

Required:

Find the standard deviation of the probability distribution.

Step 1:

Find the expected value of the probability distribution.

E(x)=\mu=\sum_{i\mathop{=}0}^3x_iP_(x_i)\begin{gathered} \mu=(0\times0.25)+(1\times0.05)+(2\times0.15)+(3\times0.55) \\  \\ \mu=0+0.05+0.30+1.65=2.0 \end{gathered}

Step 2:

Find the standard deviation.

Standard\text{ Deviation}=\sqrt{\sum_{i\mathop{=}0}^3(x_i-\mu)^2P_(x_i)}=(0-2)^2(0.25)+(1-2)^2(0.05)+(2-2)^2(0.15)+(3-2)^2(0.55)=4(0.25)+1(0.05)+0(0.15)+1(0.55)=1+0.05+0+0.55=1.60

Thus, the standard deviation is 1.60

Answer:

1.60

8 0
2 years ago
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