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3 years ago

A line has a slope of -1/2 and a y-intercept of –2.

Mathematics

1 answer:

Sergeeva-Olga [200]3 years ago

8 0

Answer:

a.-4

Step-by-step explanation:

I pictured it as a graph and since the slope is negative, the line goes down and to the right. Since the slope is -1/2, for every 2 you move horizontally, you move one vertically. You have to move two up and unless the y intercept is 0, when the line intercepts y, you have 0 as x. You move two up and 4 backwards so the x intercept is -4

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Find the average distance each data value in the set is from the mean. Round your answer to the nearest tenth, if necessary. Pri

sineoko [7]

Answer:

The average distance of each observation from the mean is 0.

Step-by-step explanation:

We are given the following in the question:

$7, $20, $9, $35, $12, $15, $7, $10, $20, $25

Formula:

$Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}$

$Mean =\displaystyle\frac{160}{10} =16$

Difference from the mean value of each term:

-9, 4, -7, 19, -4, -1, -9, -6, 4, 9

Average distances =

$\text{Average distance} =\displaystyle\frac{0}{10} =0$

Thus, the average distance of each observation from the mean is 0.

3 0

3 years ago

4^(x-1)+4^(x)+4^(x-1)=84

creativ13 [48]

Answer:

7.66

Step-by-step explanation:

Just open the parenthesis.

4x-4+4x+4x-4=84

Now simplify and solve

12x-8=84

12x=92

x= 7.66

3 0

3 years ago

bob travels from inglewood to Anytown; a distance of 20km. he walks 800m and cycles the rest of the way. What percentage of the

Semmy [17]

We can convert 20km to 20,000m. Then, we can subtract 800m (walking distance) from 20,000m which would result in 19,200m. Then we can put 19,200m and 20,000m as a fraction (19200/20000). Before we can multiply it by 100 to make it in the percentage form, we can get rid of 2 zeroes for both number making it 192/200 and then further simplifying it to 24/25 by dividing both numbers by 8. Finally to get the percentage we can multiply 24 and 100 (2400) and then divide the result (2400) by 25. The final answer is 2400/25=96 meaning he cycled 96% of the journey and walked 4% of the journey (100-96=4).

5 0

4 years ago

As a recruiter, you are asked to recruit 65 new sales associates for an organization. Traditionally, for the organization, 25% o

Lorico [155]

Answer: 1733.33 ≈ 1734 applicants

Step-by-step explanation:

Let x be the number of job applicants being looked at.

If 25% of applicants become job candidates, then number of job candidates = 0.25x

If 20% of job candidates receive job offers, then the number of job offers = 0.20 × 0.25x = 0.05x

If 75% of job offers are accepted, then number of accepted recruits = 0.75 × 0.05x = 0.0375x

This 0.0375x shows the number of new recruits which is equivalent to the 65 that is needed by the client if the recruiter.

By equating this 0.0375x to 65,we have:

0.0375x = 65

x = 65/0.0375

x= 1733.33 applicants, for whole number sake because we're dealing with humans, we approximate to 1734

5 0

3 years ago

5 / 4 x + 3 = x - 1 / 4

tiny-mole [99]

5/4x+3 = x-1/4
5/4x-x = -1/4-3
1/4x = -13/4
x = -13/4.4
x = - 13

6 0

3 years ago