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3 years ago

What is the equation of a line perpendicular to y = 6x - 5 that passes through the point (6,-3)?

Mathematics

1 answer:

Nezavi [6.7K]3 years ago

8 0

Step-by-step explanation:

The product of slope of 2 straight lines perpandicular each other is -1.

Now, The slope of the original equation is 6. We wish to find the slope m of the perpendicular line. So

$6m = - 1$

$m = - \frac{1}{6}$

Now substituting the slope m and the point (6, -3) into the perpandicular line to solve for the y intercept.

$y = mx + c$

$- 3 = 6( - \frac{1}{6} ) + c$

$c = - 2$

Therefore, the equation of the perpandicular line is

$y = - \frac{1}{6} x - 2$

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A car dealership sells 0, 1, or 2 luxury cars on any day. When selling a car, the dealer also tries to persuade the customer to

melisa1 [442]

Answer:

Mean = 1.42

Variance = 0.58

Step-by-step explanation:

Given: X denote the number of luxury cars sold in a given day, and Y denote the number of extended warranties sold.

Also, joint probability function of X and Y are given.

To find:

mean and variance of X

Solution:

From the given joint probability function of X and Y,

$P(X=0)=\frac{1}{6}\\P(X=1)=\frac{1}{12}+\frac{1}{6}=\frac{1+2}{12}=\frac{3}{12}\\P(X=2)=\frac{1}{12}+\frac{1}{3}+\frac{1}{6}=\frac{1+4+2}{12}=\frac{7}{12}$

Mean of X:

$E(X)=\sum XP(X)\\=0\left ( \frac{1}{6} \right )+1\left ( \frac{3}{12} \right )+2\left ( \frac{7}{12} \right )\\=0+\frac{3}{12}+\frac{14}{12}\\=\frac{17}{12}=1.42$

Variance of X:

$E(X^2)=\sum X^2P(X)\\=0^2\left ( \frac{1}{6} \right )+1^2\left ( \frac{3}{12} \right )+2^2\left ( \frac{7}{12} \right )\\=0+\frac{3}{12}+\frac{28}{12}\\=\frac{31}{12}$

$var(X)=E\left [ X^2 \right ]-\left ( E\left [ X \right ] \right )^2\\=\frac{31}{12}-\left ( \frac{17}{12} \right )^2\\=\frac{31}{12}-\frac{289}{144}\\=\frac{372-289}{144}\\=\frac{83}{144}\\=0.58$

5 0

4 years ago

What 12x12 I need help please help me

Radda [10]

Answer:

144

Step-by-step explanation:

-0- Easy :D

4 0

3 years ago

Given the list of terms 1/3, 1, 5/3, 7/3,.... Find the 15th and −16th term.

qwelly [4]

Answer:

15th term =29/3

16th term = 31/3

Step-by-step explanation:

Given an arithmetic sequence with the first term a1 and the common difference d , the nth (or general) term is given by an=a1+(n−1)d .

First we find the 15th term

n=15

a1=1/3

d=1 - 1/3 = 2/3

Solution

1/3+(15-1)2/3

1/3+28/3

(1+28)/3

29/3

Lets find the 16th term

1/3+(16-1)2/3

1/3+30/3

(1+30)/3

31/3

8 0

3 years ago

Richard has a rectangular plot of land that is 525 feet long and y feet wide. He decides to build a fence around the plot. If th

SOVA2 [1]

The perimeter of the figure or polygon is calculated by adding up the value of the sides. In this case,

Perimeter = 2 (length + width)

We are given that the length is equal to 525 ft.
1205 = (2)(525 + y)

The value of y from the equation is 77.5 ft.

Answer: 77.5 ft

6 0

4 years ago

Which model represents the factors of 4x2 – 9?

Gemiola [76]

4x^2-9

(2x+3)(2x-3)

To verify use distributed

2x(2x) +2x(-3)+3(2x)+3(-3)

4x^2-6x+6x-9

4x^2+0-9

4x^2-9

8 0

4 years ago

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