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2 years ago

Find the slope of the given line, if it is defined.

Mathematics

1 answer:

il63 [147K]2 years ago

8 0

Answer: A. The slope is $-\dfrac{4}{3}$ .

Step-by-step explanation:

The slope of a line helps to specify the direction of the line.

The slope of a line that passes through (a,b) and (c,d) is given by :-

$\text{Slope}=\dfrac{d-b}{c-a}$

Then the slope of a line passes through origin i.e. (0,0) and (-9,12) is given by :-

$\text{Slope}=\dfrac{12-0}{-9-0}\\\\\Rightarrow\ \text{Slope}=\dfrac{12}{-9}\\\\\Rightarrow\ \text{Slope}=-\dfrac{4}{3}$

Hence, the slope is $-\dfrac{4}{3}$ .

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Mark took his family out for dinner. He planned to leave a 15% gratuity on the bill. What is the total cost if the bill was 123.

valkas [14]

believe its

$127.82 because if you subtract 10% of 123.50 from itself then add a 15% tip you get 127.82

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3 years ago

How much is the leafy kale? 2.99 times 0.6

NeTakaya

2.98 times 0.6 = 1.794

6 0

2 years ago

Consider a population with 3 observations: 6, 10 and 12. You use simple random sampling without replacement to select a sample o

lozanna [386]

Answer:

$\dfrac{2}{3}$

Step-by-step explanation:

Given that:

The number of observations is:

6, 10, 12

If we are to use a simple random sampling without replacement, then we will have:

(6,10) (6,12) (10,12)

Here;

the sample size n = 2

The population size N = 3

For (6,10) ; The sample mean = $\dfrac{6+10}{2}$

= $\dfrac{16}{2}$

= 8

For (6,12) ; The sample mean = $\dfrac{6+12}{2}$

= $\dfrac{18}{2}$

= 9

For (10, 12) ; The sample mean = $\dfrac{10+12}{2}$

= $\dfrac{22}{2}$

= 11

The probability distribution of sample mean(x) is:

X 8 9 11

P(X=x) $\dfrac{1}{3}$ $\dfrac{1}{3}$ $\dfrac{1}{3}$

Thus, the probability that the sample mean is larger than 8 is:

P(X> 8) = P(X = 9) + P(X + 11)

P(X> 8) = $\dfrac{1}{3}+\dfrac{1}{3}$

P(X > 8) = $\dfrac{1+1}{3}$

P(X> 8) = $\dfrac{2}{3}$

5 0

2 years ago

Six times Jason's collection of books and one-third of Nathan's collection add up to 134 books. One-third of Jason's collection

siniylev [52]

6j+ $\frac{1}{3}$ n=134

$\frac{1}{3} j+n=31$ you multiply this by 18

6j+18n=558
6j+1/3*n=134
___________(-)

53n/3=424 => 53n=1272 => n=24

You put n in the first equation:
6j+8=134
6j=126 => j=21

Final answer: Nathan has 24 books and Jason 21.

3 0

3 years ago

Bobby earns $9 per hour plus commission. Last week he worked 32.5 hours

Nesterboy [21]

Answer:

Step-by-step explanation:

32.5*9=292.5

add the commission - $28.75

292.5+28.75= $321.25

8 0

1 year ago

Read 2 more answers