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3 years ago

The table represents a function.

Mathematics

1 answer:

DiKsa [7]3 years ago

7 0

Answer:

f(5) = - 8.

Step-by-step explanation:

There are two columns and 4 rows in the given table.

The first column is labeled x with different four entries and the second column is labeled f(x) with four different entries corresponding to the values of x since y = f(x).

The four ordered pairs are (-4,-2), (-1,5), (3,4) and (5,- 8).

So, from the fourth ordered pair, we can write f(5) = - 8. (Answer)

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A researcher at a large company has collected data on both the beginning salary and the current salary of 48 randomly selected e

Nadya [2.5K]

Answer:

a. 0.83

b. 44107.3

c. 2252.7

Step-by-step explanation:

The correlation coefficient is calculated as

byx=rSy/Sx

rSy=byx*Sx

⇒r=byx*Sx/Sy

Sy=standard deviation of y=standard deviation of current salary=15300

Sx=standard deviation of x=standard deviation of beginning salary=5970

byx=2.12

r=2.12*5970/15300

r=12656.4/15300

r=0.83

There is a strong positive correlation between current and beginning salary.

Beginning salary=$22000

y^ =−2532.7 + 2.12x.

Current salary=-2532.7+2.12*beginning salary

Current salary=-2532.7+2.12*22000

Current salary=-2532.7+46640

Current salary=$44107.3

The predicted current salary of Mr. Joseph Keller is $44107.3.

Residual=y-y^=Observed-Predicted

Observed Current Salary of Kathy Jones=40000

Beginning salary of Kathy Jones=19000

y^ =−2532.7 + 2.12x.

Predicted Current salary=-2532.7+2.12*beginning salary

Predicted Current salary=-2532.7+2.12*19000

Predicted Current salary=-2532.7+40280

Predicted Current salary=$37747.3

Residual=Observed Current Salary-Predicted Current salary

Residual=40000-27747.3

Residual=$2252.7

The residual for Ms. Jones is $2252.7.

8 0

3 years ago

Manuel noticed that his cellphone bill reflected a monthly fee of

Tomtit [17]

Answer: (total amount paid - $40) / 0.05

Step-by-step explanation:

Given the following :

Monthly fee = $40

Additional fee = $0.05 per minute on phone

Given the the amount paid for the month is available, number of minutes he was on phone can be determined thus :

Total amount to be paid = monthly fee + additional fee

Additional fee = $0.05 × n

Where n = number of minutes on phone

Hence,

Total amount paid = $40 + $0.05n

If the amount paid is known, the number of minutes on phone can be calculated thus;

(Total amount paid - monthly fee) = $0.05n

n = (Total amount paid - monthly fee) / fee per minute on phone

(total amount paid - $40) / 0.05

3 0

3 years ago

Find the solution set to this inequality: 2x − 3 > _ <br> 2x − 5 <br> 2

Molodets [167]

Answer:

<h2>WOW!!What an amazing question</h2>

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3 years ago

I need the perimeter and area

kirza4 [7]

Answer:

P: 32

A: 63

Step-by-step explanation:

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6 0

3 years ago

A stockbroker has money in three accounts. The interest rates on the three accounts are 7%, 8%, 9%. If she has twice as much mon

Sveta_85 [38]

Answer:

x=amount invested at 7%

2x=amount invested at 8%

3x=amount invested at 9%

interest=principal*rate*time (time=1 year)

$150=0.07x+0.08*2x+0.09*3x

$150=0.07x+0.16x+0.27x

$150=0.50x

$1500=5x

x=$300 invested at 7%

2x=$600 invested at 8%

3x=$900 invested at 9%

Step-by-step explanation:

5 0

3 years ago