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.

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Related Questions

From a population of size 600, a simple random sample of size 58 is selected. The sample mean is 400, and the sample standard deviation is 40. An approximate 95% confidence interval for the population total is _____. a. 350 to 400 b. 350,000 to 450,000 c. 234,010 to 245,990 d. 390 to 409

Answers

Answer:

b. 350,000 to 450,00

Step-by-step explanation:

You are offered two jobs. One with a yearly salary of $51,670, and the other an hourly
job with a rate of $26 per hour. Both require you to work for 45 hours a week. How
much more will you make by taking the hourly job?

Answers

Step-by-step explanation:

a year = 52 weeks

a year working hours = 45× 52 = 2340 hours

first job rate per hour = $51670 ÷ 2340 hours

= $22

sec job rate per hour = $26

Nick's bank accout balance was $21. If he
writes a check for $30 and his bank charges
him $35 for overdrawing his account, find
his account balance.

Answers

Answer:

56

Step-by-step explanation:

A cell phone tower casts an
post
80-foot shadow. At the same time, a 6-foot fence
casts a shadow of 4 feet. What is the height of the tower?

Answers

The height of the cellphone tower is 120 feet

please help me with this math is for my math homework​

Answers

Answer:

5

Step-by-step explanation:

Step-by-step explanation:

[tex] \frac{137}{24} [/tex]

or

[tex] \frac{137}{24} or \: 5 \frac{17}{24} [/tex]

hope that helps you

4/3 ÷ 5/3
Answer must be in simplest form.​

Answers

answer is 4/5
decimal form is 0.8

find the indicated length

Answers

Answer:

x=6

AC = 28

Step-by-step explanation:

4x+4= AC

4x +4 = 14 + 3x -4

4x-3x= 14-4-4

x = 6

AC = 4(6) +4 = 24+4 = 28

If the value of the x=4 y=3 and z=-2 find value of

A. (x+y)² - 2z B. 2xy-3z C. 2x²-4y+z​

Answers

Step-by-step explanation:

A=(4+3)²-2(-2)=7²+4=49+4=53

B=2(4)(3)-3(-2)=24+6=30

c=2(4)²-4(3)+(-2)=2(16)-12-2=32-14=18

Hope this helps. I know I was the second but I had already solved it so decided why not?

13. R(-9, 4) and S(2, -1); Find T.

Answers

Answer:

you dont have enough information

Step-by-step explanation:

PLEASE ANSWER THIS QUICK!!!!


Suppose you solve an equation and
find that your school needs 4.3 buses for a class trip.
Explain how to interpret this solution.

Answers

Answer:

you need 5 buses and 4 will be totally full and one will only be 1/3 full

or you can have 14% of all 5 buses with empty seats

Step-by-step explanation:

please help asap and show work pls

Answers

Answer:

Answers are a. 8, b. 10, c. -2, d. invalid

Step-by-step explanation:

a.

[tex]f(x)=|x|\\So, f(8)=|8|=8\,;[Modulus\,\,is\,\,always\,\,the\,\,positive\,\,value][/tex]

b.

[tex]f(x)=3^x+1\\f(2)=3^2+1=9+1=10[/tex]

c.

[tex]f(k)=\frac{k}{2}+1\\f(-6)=\frac{-6}{2}+1=-3+1=-2[/tex]

d.

[tex]f(x)=\sqrt{x-5} \\f(3)=\sqrt{3-5}=\sqrt{-2}\\There\,\,is\,\,no\,\,real\,\,solution\,\,for\,\,root\,\,of\,\,a\,\,negative\,\,number[/tex]

Hope you have understood this.....  

ask me if you have any confusion.....  

if you liked it pls mark it as the brainliest

what is 4.414*10 9 in standard form

Answers

Answer:

4,414,000,000

Step-by-step explanation:

4.414x10^9, move the decimal place 9 places to the left.

If jonny has 19 apples then adds 19 more apples to his collection how many does he have

Answers

Answer:

it should be 38

Step-by-step explanation:

Just add 19 more to the amount you already have.

i need help ;^; please​

Answers

Answer:

[tex] \sqrt{3 {x}^{2} {y}^{3} } \times 2 \sqrt{72 {x}^{3} {y}^{4} } \\ = 2 \sqrt{3 {x}^{2} {y}^{3} 72 {x}^{3} {y}^{4} } \\ = 2 \times 6 \sqrt{6} \times \sqrt{ {x}^{5} {y}^{7} } \\ 12 \sqrt{6} {x}^{2} {y}^{3} \sqrt{xy } \\ 12 {x}^{2} {y}^{3} \sqrt{6xy} \\ thank \: you[/tex]

12x^2y^2 -_/6xy

thats the answer you're looking for

Someone help pleasee

Answers

Answer:

a horizontal translation 3 units to the right because-3 has been added to the exponent

Which number can each term of the equation be multiplied by to eliminate the fractions before solving?
- m-{ =2+3m
2
3
.
4.
05

Answers

Answer:

4 is the correct answer.

Number "4" can each term of the equation be multiplied by to eliminate the fractions before solving.

What is algebraic Expression?

Any mathematical statement that includes numbers, variables, and an arithmetic operation between them is known as an expression or algebraic expression. In the phrase 4m + 5, for instance, the terms 4m and 5 are separated from the variable m by the arithmetic sign +.

To eliminate the fractions in the equation -3/4m -1/2m=2+1/4m, we need to find the least common multiple (LCM) of the denominators of the fractions, which is 4.

We can then multiply each term of the equation by 4 to eliminate the fractions.

So, multiplying both sides of the equation by 4, we get:

-3m - 2m = 8 + m

To simplifying, we have:

-5m = 8 + m

To solve for m, we can isolate the variable on one side of the equation. Adding 5m to both sides, we get:

4m = 8

Finally, dividing both sides by 4, we get:

m = 2

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please help me with my question due tomorrow morning I will like and mark as brainliest for the first correct answer please​

Answers

Answer:

p = (2k + 1)i + j

q = 25i + (k + 4)j

p . q = 11

Find the dot product of p and q

(2k + 1)(25) + (k + 4) = 11

50k + 25 + k + 4 = 11

51k = -18

k = - 18/51 = 6/17.

b) p.q = |p||q|cos∅

p= (2k + 1)i + j = [2(-6/17) + 1)i + j ]= 5/17i + j

|p| = √ (5/17)² + 1²

|p| = √314/ 17 ( The square root doesn't cover the 17) = 1.0424

q = 25i + (k + 4)j = 25i + ( -6/17 + 4)j

q = 25i + 62/17 j

|q| = √ 25² + (62/17)²

= 25.2646

Now applying them to the formula above

We already have p.q = 11 from the question.

11 = (1.0424)(25.2646)Cos∅

11 = 26.3358Cos∅

Cos∅ = 11/26.3358

Cos∅ = 0.4177

= 65.31°.

This should be it.

Hope it helps

Tyrell gave 3 packs of baseball cards to his friends. He gave each friend 1/2 of a pack. How many friends got baseball cards?

Answers

9! Hope this helps ya out

Answer:

The answer is 6, my other answer got deleted for being "incomplete" even through I was marked as brainliest

Step-by-step explanation:

given MN= PQ, NO=QR,.and OM=RP ​

Answers

Answer:

Step-by-step explanation:

PLEASE HELP ME FAST I WILL GIVE 55 POINTS AND BRAINLIEST AND HEART
Questions 10-12
f(x)= 3x-13
g(x)= 2x^2-4x-5
h(x)=4^x-7

10. Find (f - g) (x)
11. Find (f - h) (x)'
12. Find (f + g) (x)

Answers

I think this is a composition function material ¤¤

Sory this is my answer.

I need help/ explanation. Algebra 2 15 points

Stretch the graph of f(x) vertically by a
factor of 2.

I need to know how to do this.

Answers

Answer:

For each point on the curve given, make a new point that has the same x value but double the y value.

Step-by-step explanation:

Pick several points on the graph given. the easiest points to pick would be (-2, 0), (0, 2) and (2, 0). That's the point on the far left, the point on the top of the curve in the middle, and the point on the far right. For each of these points, make a new point that's twice as high but has the same position left/right. For the far left point and the far right point, the new point will be the same as the old point because the height is zero and double zero is still zero. For the point in the middle the new height will be four since the old height was just two. Then draw a nice curve through those points and you will have the answer. It will be a mound that's twice as tall as the current mound but the same width.

write 0.32 repeating as a fraction in simplest form.

Answers

Answer:

0.32 repeating as a fraction

= 32/99

Step-by-step explanation:

The fraction in simplest form that represents the repeating decimal 0.32 repeating is 32/99.

To express the repeating decimal 0.32 repeating as a fraction in simplest form, we can use the concept of geometric series.

Let's represent 0.32 repeating as x:

x = 0.323232...

Multiply both sides of the equation by 100 to shift the decimal point two places to the right:

100x = 32.323232...

Now, subtract the original equation from the shifted equation to eliminate the repeating part:

100x - x = 32.323232... - 0.323232...

Simplifying the equation:

99x = 32

Divide both sides of the equation by 99 to solve for x:

x = 32/99

Therefore, the fraction in simplest form that represents the repeating decimal 0.32 repeating is 32/99.

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Write the equation of the circle centered at (4, - 9) with diameter 16.
HELP A GIRL OUT

Answers

Answer:

16= (x-4)^2 +(y+9)^2

Step-by-step explanation:

hey! The formula for the equation of a circle is r^2= (x-h)^2 + (y-k)^2

r= the radius (in your case you have the diameter so you do not need to square it)

(h,k)= is the center coordinates, so your center coordinate would be (4, -9). You now have your h (h=4) and your k (k=-9) so you can plug it in the formula! :)

a nice rating would help out

I need help on this please.

Answers

Answer:

Write in the box :....

30

Is the fraction 6 1/4 a natural number, whole number, integer, rational number, or a irrational number?

*FYI, I think it is a rational number. Lmk if I am wrong :)*

Answers

Answer:

your right it is a rational number

Carson buys eggs and lemons at the store.
He pays a total of $39.62.
He pays $6.74 for the eggs.
He buys 8 bags of lemons that each cost the same amount.

Which equation could be used to determine xx, how much each bag of lemons costs?

Answers

Answer:

8x  = 39.62 - 6.74

Step-by-step explanation:

Cost of 1 bag of lemons = $ x

Cost of 8 bags of lemons = 8 *x = 8x

Cost of 8 bags of lemons = Total cost - cost of the eggs

                              8x           = 39.62 - 6.74

Answer:

3.

Step-by-step explanation:

[tex]x + y = 39.62 \\ x = 6.74 \\ y = \frac{39.62 - 6.74}{8} [/tex]

A car accelerates along a straight road, which is 15km long. The car reaches a speed of 75 km/h in 10 s. The average acceleration of the car is


Select one:

A. 2.1 m/s ^2

B. 7.5 m/s ^2

C. 1.5 m/s ^2

D. 5.0 m/s ^2


^2 means exponent

Answers

Answer:

I think answer id B.and this will right you make me brillent student

The acceleration will be 2.1 meters per second. The correct option is A.

What is acceleration?

Acceleration of any object is defined as the variation in the speed of the object with the variation of the time. Acceleration is a vector term and to define it we require both the magnitude and the direction. The unit of the acceleration can be m / sec², miles / sec², etc.

Given that a car accelerates along a straight road, which is 15km long. The car reaches a speed of 75 km/h in 10s.

The acceleration will be calculated as below:-

Acceleration = Velocity / Time

Velocity = 75 km / h = 75 x ( 5 / 18 ) = 20.83 m / s

Acceleration = Velocity / Time

Acceleration = 20.83 / 10 = 2.08 or 2.1 m / s²

Therefore, the acceleration will be 2.1 meters per second. The correct option is A.

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Please help me!! Find the equation of the line that is perpendicular to y=1/6x+3 and contains the point (-3,23).

Answers

Answer:

[tex]\displaystyle y = -6x + 5[/tex]

Where ? = -6.

Step-by-step explanation:

We want to find the equation of a line that is perpendicular to:

[tex]\displaystyle y = \frac{1}{6} x + 3[/tex]

And contains the point (-3, 23).

Recall that the slopes of perpendicular lines are negative reciprocals of each other.

The negative reciprocal of 1/6 is -6. Hence, the slope of the perpendicular line is -6.

We are also given that it passes through the point (-3, 23). Since we know the slope and a point, we can consider using the point-slope form:

[tex]\displaystyle y - y_1 = m(x - x_1)[/tex]

Substitute:

[tex]\displaystyle y - (23) = -6(x - (-3))[/tex]

Simplify:

[tex]\displaystyle y - 23 = -6 (x+3)[/tex]

Distribute:

[tex]\displaystyle y - 23 = -6x - 18[/tex]

And add. Hence:

[tex]\displaystyle y = -6x + 5[/tex]

In conclusion, our equation is:

[tex]\displaystyle y = -6x + 5[/tex]

Where ? = -6.

plssssssssssssss help

Answers

[tex]\frac{8}{5}[/tex] Converted to decimal is 1.6

Answer:

The final model from the Example is shown.
Draw a line around the part of the model that
represents 1 square yard.


Please help thank you

Answers

Answer:

Can anyone check out my page and answer my question??

Step-by-step explanation:

.

The area of the given model is 4/6 square yards.

What is the area of a rectangle?

The area occupied by a rectangle within its boundary is called the area of the rectangle. The formula to find the area of a rectangle is Area = Length × Breadth.

From the given figure, length of a rectangle is 4/3 yards and the width is 1/2  yards.

Here, area of a model is 4/3 × 1/2

= 4/6 square yards

Therefore, the area of the given model is 4/6 square yards.

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