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1 year ago

Use pictures for the question 100 points to brainlyest

Mathematics

1 answer:

Leviafan [203]1 year ago

7 0

Answer:

Step-by-step explanation:

Population of X is {1, 1, 2, 2, 2, 3, 3, 3}

Based on that, X's expected value, variance and standard deviation can be calculated as follows:

Expected Value, μ = 2.125 or 2.13

Variance, σ2 = 0.609375 0r 0.61

Standard Deviation, σ = 0.78062475 or 0.78

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I NEED HELP ASAP AND PLEASE GIVE A STEP BY STEP FOR THE EXPLANATION WORTH 15 points

Karolina [17]

Answer:

Step-by-step explanation:

the second one , why? because 7a-12a=-5a

4 - 8 = -4

4 0

2 years ago

18 of the last 30 cars that passed by you were black. what is the probability the next car will be black. (0.18, 0.6, or 0.30)

Black_prince [1.1K]

18 divided by 30 is 0.6. So I would say that B, or 0.6, is the correct answer.

3 0

2 years ago

Show that every triangle formed by the coordinate axes and a tangent line to y = 1/x ( for x > 0)

vfiekz [6]

Answer:

Step-by-step explanation:

given a point $(x_0,y_0)$ the equation of a line with slope m that passes through the given point is

$y-y_0 = m(x-x_0)$ or equivalently

$y = mx+(y_0-mx_0)$ .

Recall that a line of the form $y=mx+b$ , the y intercept is b and the x intercept is $\frac{-b}{m}$ .

So, in our case, the y intercept is $(y_0-mx_0)$ and the x intercept is $\frac{mx_0-y_0}{m}$ .

In our case, we know that the line is tangent to the graph of 1/x. So consider a point over the graph $(x_0,\frac{1}{x_0})$ . Which means that $y_0=\frac{1}{x_0}$

The slope of the tangent line is given by the derivative of the function evaluated at $x_0$ . Using the properties of derivatives, we get

$y' = \frac{-1}{x^2}$ . So evaluated at $x_0$ we get $m = \frac{-1}{x_0^2}$

Replacing the values in our previous findings we get that the y intercept is

$(y_0-mx_0) = (\frac{1}{x_0}-(\frac{-1}{x_0^2}x_0)) = \frac{2}{x_0}$

The x intercept is

$\frac{mx_0-y_0}{m} = \frac{\frac{-1}{x_0^2}x_0-\frac{1}{x_0}}{\frac{-1}{x_0^2}} = 2x_0$

The triangle in consideration has height $\frac{2}{x_0}$ and base $2x_0$ . So the area is

$\frac{1}{2}\frac{2}{x_0}\cdot 2x_0=2$

So regardless of the point we take on the graph, the area of the triangle is always 2.

6 0

2 years ago

What is the value of f?

laiz [17]

Answer:

f(1/2) = -2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Function Notation

Step-by-step explanation:

Step 1: Define

f(x) = 8x - 6

f(1/2) is x = 1/2

Step 2: Evaluate

Substitute in x: f(1/2) = 8(1/2) - 6
Multiply: f(1/2) = 4 - 6
Subtract: f(1/2) = -2

5 0

2 years ago

Write the equation of a line perpendicular to 5x−9y=−8 that passes through the point (−5,8).

Fantom [35]

Answer: y = -(9/5)x - 1

Step-by-step explanation:

Rewrite the equation in standard form: y = (5/9)x+(8/9). [y=mx+b]

A line perpendicular to this would have a slope that is the negative inverse of the original slope (5/9), which would make it -(9/5). The y-intercept would also change, but we don't know the value, yet. For now, we'll use "b" for the y-intercept. This results in a perpendicular line:

y = -(9/5)x + b

We can calculate b, the y-intercept, by using the point (-5,8) and solving for b.

8 = -(9/5)*(-5) + b

8 = (9) + b

b = -1

The line perpendicular to 5x−9y=−8 that passes through the point (−5,8) is

y = -(9/5)x - 1

7 0

2 years ago

Use pictures for the question 100 points to brainlyest​

Use pictures for the question 100 points to brainlyest