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egoroff_w [7]
2 years ago
5

What is the slope of the line represented by the equation y = –y equals negative StartFraction one-half EndFraction x plus Start

Fraction one-fourth EndFraction.x + StartFraction one-fourth EndFraction.?
Mathematics
2 answers:
-BARSIC- [3]2 years ago
8 0

Answer:

Slope:

m = -\displaystyle\frac{1}{2}

Step-by-step explanation:

We are given the equation:

y = -\displaystyle\frac{1}{2}x + \displaystyle\frac{1}{4}

Comparing this equation to the slope-intercept form:

y = mx + c

where m is the slope of line and c is the y-intercept that is the value of y when x is zero.

on comparing, we get:

m = -\displaystyle\frac{1}{2}\\c = \displaystyle\frac{1}{4}

The slope of the given line is

m = -\displaystyle\frac{1}{2}

liraira [26]2 years ago
5 0

Answer:

c

Step-by-step explanation:

c

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Raul has been offered three different jobs and must choose which one to accept. One of the factors he is considering is the pay
chubhunter [2.5K]

Answer:

As the pay rate for Job C is the highest, so he must accept the offer from Job C.

Step-by-step explanation:

Given that Raul would work 50 weeks of the year,

40 hours each week,

5 days each week,

and he would receive a 1-hour lunch break each day.

Pay rate for Job A = $35,000 / year

  • For Job B:

Pay rate = $15 / hour

He will work 40 hours each week.

As he works 5 days a week, so in 1 day he will work 40/5 = 8 hours.

He would receive a 1-hour break each day, for which he will not be paid, so he will receive a payment for 8-1=7 hours.

So, payment for 1 day = $15 x 7 = $105

As he works 5 days a week, so payment for 1 week = $105 x 5 = $525

As he works 50 weeks a year, so payment for 1 year = $525 x 50 = $26250.

So, the pay rate by Job B = $26250 /year

  • For Job C:

Pay rate = $750 / week

As he works 50 weeks a year, so payment for 1 year = $750 x 50 = $37500.

So, the pay rate by Job C = $37500 /year

As the pay rate for Job C is the highest, so he must accept the offer from Job C.

8 0
2 years ago
The California State University (CSU) system consists of 23 campuses, from San Diego State in the south to Humboldt State near t
miv72 [106K]

Answer:

For this case since since they not want to differentiate between the campuses, so is good to use a simple random sampling or SRS, that is a procedure in order to select a sample of size n from a population of size N known, and each element of the population have the sample probability of being selected p=\frac{1}{N}

So then the administrator can select a random sample of n students from all the campuses from the CSU University and obtain the distance from hometwon to campuses for the selected sample and then calculate the average and use this to inference.

Other possibility is use a systematic random sampling for example they can define a random number k and they can select 1 student each k individuals and then create a random sample of size n and calculate the average for this in order to do inference.

The convenience sampling is not too useful since is not a probabilistic method.

Step-by-step explanation:

For this case we can clasify this study as an enumerative study and inferential since they want to identify the average distance between the hometowns of students and their campuses.

For this case the sampling frame represent all the 23 campuses, and is known for the researcher,

For this case since since they not want to differentiate between the campuses, so is good to use a simple random sampling or SRS, that is a procedure in order to select a sample of size n from a population of size N known, and each element of the population have the sample probability of being selected p=\frac{1}{N}

So then the administrator can select a random sample of n students from all the campuses from the CSU University and obtain the distance from hometwon to campuses for the selected sample and then calculate the average and use this to inference.

Other possibility is use a systematic random sampling for example they can define a random number k and they can select 1 student each k individuals and then create a random sample of size n and calculate the average for this in order to do inference.

The convenience sampling is not too useful since is not a probabilistic method.

6 0
2 years ago
Margo deposited $100 into a savings account earning 4.5% simple annual interest. At the end of each year, she adds $100 to her a
nadezda [96]

Answer:

                    principal     interest              total money in account

                                                                         at the end of year

Year one       $100             $4.5                              $104.5

year two        $200          $ 9 +$4.5                         $ 213.5

year three      $300          $ 9 +$4.5 + $13.5           $ 327

Step-by-step explanation:

Simple interest for any principal is given by

I = p* r* t/100

I = interest rate accrued on principle amount

p is the amount deposited

r is the rate of interest

t is the time period of saving

_______________________________________________

For year one

p = $100

r = 4.5%

t=1

I = 100*4.5*1/100 = 4.5

_______________________________________________

For year two $100 more is added to already existing $100 in account.

p = 100 +100 = $200

r = 4.5%

t=1

I = 200*4.5*1/100 = 9

_______________________________________________

For year two $100 more is added to already existing $200 in account after two years.

p = 100 +100 +100 = $300

r = 4.5%

t=1

I = 300*4.5*1/100 = 13.5

_______________________________________________

There fore total  money in Margo account is

$300 saving deposited by her

$4.5 + $9 + $13.5 = $27 (interest accrued in three time)

Formulating the results in tabular form

                     principal     interest    total money in account

                                                            at the end of year

Year one       100               4.5                      104.5

year two        200           9 +4.5                     213.5

year three      300           9 +4.5 + 13.5           327

7 0
2 years ago
The following function represents the production cost f(x), in dollars, for x number of units produced by company 1:
tamaranim1 [39]
Company 1: f(x) = 0.25x² - 8x + 600
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f(14) = 0.25(14²) - 8(14) + 600 = 49 - 112 + 600 = 537

company 2: 
  x       g(x)
  6        862.2
  8        856.8
10        855
12        856.8
14        862.2

Based on the given information, the minimum production cost of company 2 is greater than the minimum production cost of company 1. 
7 0
2 years ago
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A printer ink cartridge that can print 550 pages has already printed 127 pages. Which solution represents the correct equation a
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P + 127 = 550        P = 423

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2 years ago
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