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2 years ago

Which best describes the relationship between the line that passes through the points

Mathematics

1 answer:

yulyashka [42]2 years ago

7 0

Answer:

Perpendicular (A)

Step-by-step explanation:

First find the gradient of the first line:

Change in y/ Change in x = -7-(-2)/ -9-(-12) = -5/3

Now find the gradient of the second line:

9-6/1-6 = -3/-5 = 3/5

When we multiply the gradient of two perpendicular lines we will get:

m1 x m2 = -1

If we multiply 3/5 and -5/3 we will get -1

Therefore it is perpendicular!

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An author receives a contract from a publisher, according to which she is to be paid a fixed sum of $20,000 plus $3.50 for each

Schach [20]

Answer:

The mean of the total payments she will receive is $79,500.

The standard deviation of the total payments she will receive is $14,000.

Step-by-step explanation:

Given : An author receives a contract from a publisher, according to which she is to be paid a fixed sum of $20,000 plus $3.50 for each copy of her book sold. The author judges that her uncertainty about total sales of the book can be represented by a random variable with a mean of 17,000 and a standard deviation of 4,000 books.

To find : The mean and standard deviation of the total payments she will receive ?

Solution :

Let 'x' represent total sales of the book.

Let 'y' represent the payment to the author.

According to question,

The mean of the total payments she will receive is given by,

$\mu_y=20,000+3.50\mu_x$

Where, $\mu_x=17,000$

Substitute in the equation,

$\mu_y=20000+3.50\times 17000$

$\mu_y=20000+59500$

$\mu_y=79500$

The mean of the total payments she will receive is $79,500.

The standard deviation of the total payments she will receive is given by,

$\sigma_y=|3.50|\sigma_x$

Where, $\sigma_x=4,000$

Substitute in the equation,

$\sigma_y=|3.50|\times 4000$

$\sigma_y=14000$

The standard deviation of the total payments she will receive is $14,000.

7 0

2 years ago

Write log7t using the natural logarithm.

VARVARA [1.3K]

Answer:

log₇t = ln t / ln 7

Step-by-step explanation:

Given:

log₇t

Computation:

We know that

logₐb = log b / log a

So,

log₇t = log t / log 7

= log₇t = ln t / ln 7

4 0

3 years ago

Which statement is true

valina [46]

Answer: The answer is D. the data distribution is skewed to the right.

Step-by-step explanation:

Since in the picture it is shown that everything is more to the left but the tail is on the right side so it would be skewed right.

4 0

2 years ago

Read 2 more answers

I.5y=2x-5 II.5y=4+3x III.5y-3x=-1

Ratling [72]

Answer:

Step-by-step explanation:

the vale of x differs in each situation are we talking AB value

6 0

2 years ago

Estimate then find the difference or sum 86+17

kumpel [21]

Estimation for addition: 86 rounds up to 90 and 17 rounds up to 20 so:
90 + 20 = 110
Estimation for subtraction is the same thing but with subtraction
90 - 20 = 70

Now for the exact answers:
86 + 17 = 103
86 - 17 = 69

Your answers are 110, 70, 103, and 69.

8 0

2 years ago