Mathematics High School

PLS HELP A student is assessing the correlation between the number of workers in a factory and the number of units produced daily. The table shows the data:


Number of workers
(x) 0 10 20 30 40 50 60 70 80 90
Number of units
(y) 2 52 102 152 202 252 302 352 402 452


Part A: Is there any correlation between the number of workers in a factory and the number of units produced daily? Justify your answer. (4 points)

Part B: Write a function that best fits the data. (3 points)

Part C: What does the slope and y-intercept of the plot indicate? (3 points)

Answers

Answer 1

Answer:

Part A: Yes. There is a correlation between the number of workers in a factory and the number of units produced daily.

Part B: The equation of the function that best fits the data is

Part C: The slope is  which indicates the rate of change of number of units produced daily over the change in number of workers. The y - intercept is  which indicates the number of units produced by number of workers.

Explanation:

Part A: To determine the correlation coefficient, first we shall find the slope and y - intercept.

Let us substitute the coordinates  and  in the slope formula, to find the value of slope.

Hence, we have,

Thus, the slope is

The y - intercept is the value of y when the value of x is equal to 0.

Thus, from the table , we can see that when , the value of y is 2

Hence, the y - intercept is

Substituting the values  and  in the slope intercept form  , we get,

Hence, there is a linear correlation between the number of workers in a factory and the number of units produced daily.

Part B: To find the function that best fits the data, let us substitute the value of slope and y - intercept in the slope intercept formula.

Since, we have already found slope  and y - intercept

Substituting these values in the slope intercept form  , we get,

Thus, the function that best fits the data is

Part C:

The slope is

The slope indicates that the rate of change of number of units produced daily over the change in number of workers.

The y - intercept is

The y - intercept indicates that the number of units produced by number of workers.

Step-by-step explanation:

Answer 2

A. Yes. B. A linear function of the form y = 5x + 2 can best fit the data. C. The slope (m) of the plot indicates the rate of change in the number of units produced per worker. The y-intercept (b) indicates the number of units produced when there are zero workers.

What is the Linear function?

A linear function is defined as an equation in which the highest exponent of the variable is always one.

Part A:

Yes, there is a positive correlation between the number of workers in a factory and the number of units produced daily. As the number of workers increases, the number of units produced also increases.

Part B:

A linear function of the form y = 5x + 2 can best fit the data, which is determined by the two points (10, 52) and (50, 252).

Part C:

The slope of the plot indicates the rate of change in the number of units produced per worker. The y-intercept indicates the number of units produced when there are zero workers. The slope and y-intercept together describe the overall trend of the data and can be used to make predictions about future production levels.

Learn more about the Linear functions here:

https://brainly.com/question/13738061

#SPJ2

Related Questions

find the domain of y= √3x+3

Answers

Answer:

it's hard to tell the exact question being asked...

y = [tex]\sqrt{3x} + 3[/tex]

or

y = [tex]\sqrt{3x+3}[/tex]

if y = [tex]\sqrt{3x} + 3[/tex] then Domain is [0 ,∞ )  

if  y = [tex]\sqrt{3x+3}[/tex] then Domain is [-1 ,∞ )  

Step-by-step explanation:

One number is 8 more than the other number. Twice the smaller number is 7 more than the larger number. Write the equation to represent this scenario.

Answers

a=15

b=23

Step-by-step explanation:

a+8=b

2a=b+7

2a=(a+8)+7

2a=a+15

a=15

( x+y+z )² + 2( x+y+z ) +1

Answers

Answer:

[tex](x+y+z+1 {)}^{2} [/tex]

Step-by-step explanation:

[tex](x+y+z {)}^{2} +2(x+y+z)+1[/tex]

[tex](x+y+z+1 {)}^{2} [/tex]

Hope it is helpful....

Here is your answer hope this helps you.

Mr Guru bought a second hand bike for rupees 125200 he Spent rupees 5302 repair it at what price should he sell it to gain 5% on his total investment​

Answers

Answer:

137027.1 Rupees

Step-by-step explanation:

(125200+5302) * 0.05 = 6525.1

130502+6525.1 =  137027.1

find the last two digits of 2^2016​

Answers

Whooooooooooooooooooooooooops , Result for 2^2016


(2t + 1) – (t – 9) = -52 – 8t
Show work ion get it

Answers

Step-by-step explanation:

Open the brackets

2t+1-t+9 = -52-8t

Collect the like terms

2t-t+8t = -52-1-9

9t= -62

Divide both sides by 9

t= -62/9

= -6.88

Approximately -6.9

What is the product of ¼, -½ and -¾?

a
0.0934
b
-0.6543
c
-0.09357
d
0.09375

Answers

This is nonfiction and that would c I.09357 0.6543
D most definitely d

multiply (x+8) (x-5)

Answers

Step-by-step explanation:

(x+8) (x-5)

multiply

x×x=x

8×-5=-40

B is between A and C, BC=38, and AC=42. Find AB
help please!

Answers

Answer:

AB = 4

Step-by-step explanation:

AB + BC = AC

Substitute the line segments for their given values:

AB + 38 = 42

Subtract both sides by 38:

AB = 42 - 38

AB = 4

Check your work:

4 + 38 = 42

42 = 42

Correct!

can anyone solve this question​

Answers

Answer:

12 in Mathematics and 16 in Science

Step-by-step explanation:

12+16=28

12+3=15 and 16-4=12

15*12=180

Answer:

He got 12 marks in mathematics and 16 in science.  

Step-by-step explanation:

M + S = 28, (M + 3)(S - 4) = 180.

(M + 3)(S - 4) = MS - 4M + 3S - 12 = 180

MS - 4M + 3S - 12 = 180

MS - 4M + 3S = 192

M + S = 28

S = 28 - M

M(28 - M) - 4M + 3(28 - M) = 192

28M - [tex]M^{2}[/tex] - 4M + 84 - 3M = 192

-[tex]M^{2}[/tex] + 21M = 108

-[tex]M^{2}[/tex] + 21M - 108 = 0

(-M + 9)(M - 12) = 0

M = -9, 12

S = 37, 16

1st solution:

(-9 + 3)(37 - 4) = 180

-6 * 33 = 180

-198 = 180

2nd solution:

(12 + 3)(16 - 4) = 180

15 * 12 = 180

180 = 180

Therefore, M = 12 and S = 16.

Evaluate the function: f(n)=3n-1 ; f(-1)= ?

Answers

Answer:

A certain brand of laundry detergent is manufactured for $5.80 and then marked up 35% by the local store before selling. The store offers a 15% discount with the purchase of three or more bottles of the detergent. Showing all work, determine the total cost, before tax, of four bottles of detergent. (10 points)

Step-by-step explanation:

A certain brand of laundry detergent is manufactured for $5.80 and then marked up 35% by the local store before selling. The store offers a 15% discount with the purchase of three or more bottles of the detergent. Showing all work, determine the total cost, before tax, of four bottles of detergent. (10 points)

Brianna has saved $600 to buy a new tv If the tv cos $1800 and she saves $20 a week

Answers

60 days or 8.5 weeks

Step-by-step explanation:

1800-600=1200

1200/20=60

60/7=8.5

Sophie bought snacks for her team's practice. She bought a bag of chips for $2.49 and
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Answers

Call a bottle of juice costs is x

$2.49 + 12x = $27.57

             12x = $27.57 - $2.49

             12x = $25.08

                 x = $25.08 / 12

                 x = $2.09

SO each bottle of juice costs $2.09.

Mark as Brainliest If the answer is helpful!

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Answers

Answer:

Yes, this is a function.

Step-by-step explanation:

Every input has its own unique output (no x number goes to more than one y number).

in which figures is segment AB a median?
WILL RATE BRAINLIEST!!!
HELP​

Answers

Answer:

B, D, H, I, J

Step-by-step explanation:

Median: A line segment that joins the vertex of a triangle to the midpoint of the opposite side.

Multiply (FOIL)

( x - 3)( 2x + 5)


(3x + 7)(2x - 1)

Answers

Answers: ( x - 3)( 2x + 5) equals 2x^2 − x − 15

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What is the scale factor from L to S

Answers

Answer:

-2

Step-by-step explanation:

Triangle S

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Triangle L

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For the base you must multiply 4 by -2 to get 2. Likewise for the height you must multiply 8 by -2 to get 4. Thus the scale factor from L to S is -2

Hope it helps,... Chow,...!

[tex]\frac{x+19}{-2} = 5[/tex]

Answer this question <3

Answers

Answer:

[tex] \frac{x + 19}{ - 2} = 5 \\ x + 19 = 5 \times ( - 2) \\ x + 19 = - 10 \\ x = - 19 - 10 \\ \boxed{x = - 29 }[/tex]

The value of x is -29.

Using a Table to find the Constant of Proportionality
his table represents a proportional relationship. Use the table to identify the constant of proportionality between the
atio of the number of laps to the number of swimmers,

Answers

Answer:

k = 12

Step-by-step explanation:

The constant of proportionality k is the ratio

k = [tex]\frac{laps}{swimmers}[/tex]

Use any ordered pair from the table to find k

Using number of laps = 240, number of swimmers = 20 , then

k = [tex]\frac{240}{20}[/tex] = 12

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Help pls

Answers

Answer:

5

Step-by-step explanation:

24-8X=-16

24+16=8X

40=8X

X=5

Answer:

x=5

Step-by-step explanation:

24 - 8x = -16

=> 24 + 16 = 8x

=> 8x = 24 + 16

=> 8x = 40

=> x = 40/8

=> x = 5

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Step-by-step explanation:(2, -3)

[tex]thank \: you[/tex]

(5,3.5)(8,10)

[tex]\\ \sf\longmapsto (x,y)=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]

[tex]\\ \sf\longmapsto (x,y)=\left(\dfrac{5+8}{2},\dfrac{3.5+10}{2}\right)[/tex]

[tex]\\ \sf\longmapsto (x,y)=\left(\dfrac{13}{2},\dfrac{13.5}{2}\right)[/tex]

Isa finished 30% of his homework in 27 minutes. How many more minutes will it take lsa to complete his homework, assuming that he works at the
same pace?
A А.
63 minutes
B
67 minutes
C
70 minutes
O
D
90 minutes

Answers

30 * ? = 100 * 27

? = 100 * 27 / 30 = 2700/30 = 270/3 = 90

90 minutes is 1 hour and 30 minutes or an hour and a half

The answer is option D\ 90

Don't forget put heart ♥️

Answer:

The answer is A. 63 minutes.

Step-by-step explanation:

I added 27 minutes with each of the answer then multiplied the two added numbers by 30%

27 + 63 = 90 x 30% = 27 minutes (correct answer)

27 + 67 = 94 x 30% = 28.2 minutes (wrong answer)

27 + 70 = 97 x 30% = 29.1 minutes (wrong answer)

27 + 90 = 117 x 30% = 35.1 minutes (wrong answer)


When multiplying two negative numbers, what kind of number does one always get for an answer?

Answers

Answer:

a positive number

Step-by-step explanation:

-(-) = +

for example, -1 * -1 = 1

When multiplying negative numbers u get a positive number

Two cars, 360 kilometers apart, begin driving toward each other on a long, straight highway. One car travels 80 km per hour and the other 100 km per hour. At the same time, a canary, starting on one car, flies back and forth between two cars as they approach each other. If the canary flies 120 km per hour and spends no time to turn around at each car, how far has it flown when the cars collide?

Answers

What no entenderá toy

multiply 3a and (2a+6b​

Answers

3a(2a+6b)
Distribute:
6a^2+18ab

Step-by-step explanation:

3a(2a+6b)

3a×2a+3a×6b

6a²+18ab

Which ordered pair is a solution of the system of equations? y= 3x + 1 y= 5x - 1 A (2,3) © (1,2) B (0, 1) D (1,4)​

Answers

Answer:

D

Step-by-step explanation:

So first, we have to test the pairs. Let start with equation 1.

7=\=3 x

4=\=2 x

0=0 ✓

4=4 ✓

Now we only have to test B and D.

0=\=-1

4=4 ✓

D is the correct answer.

Answer the questions below about the quadratic function.
f(x) = – 3x² +6x=1
Does the function have a minimum or maximum value?
Minimum
Maximum
What is the function's minimum or maximum value?
0
Where does the minimum or maximum value occur?

Answers

Answer:

perdón yo no hablo inglés

three less than twice a number is fifteen

what is the answer?

Answers

Answer:

2X–3 =15

2X=15+3

2X=18

X=18/2

X= 9

I hope I helped you^_^

Answer:

18

Step-by-step explanation:

SEE THE IMAGE FOR SOLUTION

HOPE IT HELPS

HAVE A GREAT DAY

what is the probability i will roll a 4 or multiple of 3 on a standard # cube

Answers

Answer:

probability is 1/2

Step-by-step explanation:

multiples of 3 that will occur in standard dice = 3,6

hence, theres 3 occasions that u will roll a 4 or multiple of 3 on a standard # cube:

3/6 = 1/2

please please help me if for my homework​

Answers

Answer:

89/100. Hope this helped.

Step-by-step explanation:

Answer:

89/100

Step-by-step explanation:

.89

Multiply the decimal by 100

89

Convert the decimal to a fraction

89/100
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