At a plant that manufactures bars of steel, a machine is used to cut the bars to specific lengths. The machine has a dial that sets the length of the bars to be cut. However, the dial is currently out of alignment and the plant manager is collecting data to assess the situation. The following table shows 8 trials at different dial settings along with the actual output length of the bars that were cut. All measurements are in millimeters.
(a) Use the following grid to construct a scatterplot in which dial setting is the explanatory variable and output length is the response variable. Based on your graph, does a linear model seem appropriate? Justify your answer.
(b) Use the data to construct a least-squares regression line to predict output length from dial setting.
(c) Assume that all conditions for inference are met. Indicate the hypotheses appropriate to test whether there is a linear relationship between output length and dial setting
(d) The test statistic for the appropriate test is t=9.018. Do the data provide convincing statistical evidence that there is a linear relationship between output length and dial setting?

At A Plant That Manufactures Bars Of Steel, A Machine Is Used To Cut The Bars To Specific Lengths. The
At A Plant That Manufactures Bars Of Steel, A Machine Is Used To Cut The Bars To Specific Lengths. The

Answers

Answer 1

Check Attached Photos. Sorry, it didn't let me submit it through text because of "inappropriate language," despite me not having any in my answer.

At A Plant That Manufactures Bars Of Steel, A Machine Is Used To Cut The Bars To Specific Lengths. The
At A Plant That Manufactures Bars Of Steel, A Machine Is Used To Cut The Bars To Specific Lengths. The
At A Plant That Manufactures Bars Of Steel, A Machine Is Used To Cut The Bars To Specific Lengths. The
Answer 2

For the plant which manufactures bars of steel, the conclusions are as follows;

A.  The scatter graph is shown.

B.  The equation is y = 2.204 + 1.007x

C.  Null hypotheses (H₀); β = 0

     Alternative hypotheses (Hₐ); β ≠ 0

D.  P-value (0.0001) is less than the significance level (α = 0.05).

What are null hypotheses and alternative hypotheses?

In null hypotheses, there is no relationship between the two phenomenons under the assumption or it is not associated with the group. And in alternative hypotheses, there is a relationship between the two chosen unknowns.

At a plant that manufactures bars of steel, a machine is used to cut the bars to specific lengths.

The machine has a dial that sets the length of the bars to be cut.

The dial is currently out of alignment and the plant manager is collecting data to assess the situation.

The following table shows 8 trials at different dial settings along with the actual output length of the bars that were cut.

All measurements are in millimeters.

Dail setting    Output length

     75                     78

     77                     79

     79                     82

     80                     83

     81                      85

     82                     83

     83                     86

     85                     88

A. The scatter plot is shown below.

Based on the scatter plot, a linear model seems appropriate to the model relationships between the dial setting of the machine and the output length of the steel bar.

The scatter plot shows the strong (r = 0.965), positive, linear association. There do not appear to be any outliners.

B.  From the data to construct a least-squares regression line to predict output length from dial setting. Then

y = (a + bx)

Let x be the dial setting machine and y be the output length of steel bars (in mm).

y = 2.204 + 1.007 x

C.  All conditions for inference are met. Indicate the hypotheses appropriate to test whether there is a linear relationship between output length and dial setting.

Let β be the true slope of the population regression line relating the dial setting of the machine (x) and the output length of the steel bars (y) at the manufacturing plant.

Null hypotheses (H₀) ; β = 0

Alternative hypotheses (Hₐ) ; β ≠ 0

Appropriate test = slope of regression line t-test.

D.  The test statistic for the appropriate test is t = 9.018 with 6 degrees of freedom (7 - 1)

The normal curve is shown;

Using calculator command t-CDF, with the alternative hypotheses as β≠0, then P-value = 0.0001.

In probability notation;

P(b≥0.017) = P(t≥9.018) = 0.00005

P-value = (2) × (0.00005) = 0.0001

P-value = 0.0001

Assume α = 0.05

Since our P-value (0.0001) is less than the significance level (α = 0.05), we do not convince statistical evidence that there is a linear relationship between output length and dial setting.

As the dial setting (x) increases, the output length of the steel bar (y) increases as well.

More about the null hypotheses and alternative hypotheses link is given below.

https://brainly.com/question/9504281

At A Plant That Manufactures Bars Of Steel, A Machine Is Used To Cut The Bars To Specific Lengths. The
At A Plant That Manufactures Bars Of Steel, A Machine Is Used To Cut The Bars To Specific Lengths. The

Related Questions

The experimental probability that it will rain
on any given day in Houston, Texas, is about
15%. Out of 365 days, about how many days
can residents predict rain?

Answers

About 55 days

Actual result is 54.75 if you round it you get 55

To solve this you have to do 15% x 365

And you can find the days the residents predicted rain

Put the steps to solve the quadratic equation in order.
Solve: 7x2 - 2x - 5 = 0
X =
2+4-4(7)(-5)
207)
Select ]
X =
[Select ]
+ 12
x = - or 1
[Select]
=
27144
14
[Select]
a = 7, b = -2, c= -5
[ Select]
= - 19 or 14
[Select)

Answers

Answer:

1.) [tex]x=\frac{5}{12}[/tex]

2.) [tex]=28986[/tex]

Step-by-step explanation:

1.) [tex]\mathrm{Multiply\:the\:numbers:}\:7\cdot \:2=14[/tex], [tex]14x-2x-5=0.[/tex]

[tex]\mathrm{Add\:similar\:elements:}\:14x-2x=12x[/tex][tex], 12x-5=0.[/tex]

[tex]\mathrm{Add\:}5\mathrm{\:to\:both\:sides}, 12x-5+5=0+5.\\12x=5, \mathrm{Divide\:both\:sides\:by\:}12.\\\frac{12x}{12}=\frac{5}{12}, x=\frac{5}{12}[/tex]

2.) [tex]2+4-4\left(7\right)\left(-5\right)\cdot \:207=28986[/tex]

[tex]=28986[/tex]

3.) ?, I can't read that. Please put it more 'configurative'.

Shiva has 1.95 pounds of meat. She uses 0.13 pound of meat to make one hamburger. How many hamburgers can Shiva make with the meat she has?

Answers

Answer:

Shiva can make 15 hamburgers

Step-by-step explanation:

1.95 /0.13= 15

1 hamburger 0.13

Check

0.13 x 15 = 1.95

Answer:

[tex] \bf \huge \: 15[/tex]

Step-by-step explanation:

Given that :

Shiva has 1.95 pounds of meat.She uses 0.13 pound of meat to make one hamburger.

to find :

How many hamburgers can Shiva make with the meat she has ?

explanation :

⟼ total meat = 1•95 pounds

⟼ use meat to make a hamburger = 0•13 pounds

⟼ how many hamburgers shiva make with the total meat = total meat / use meat to make a hamburger

⟼ how many hamburgers shiva make with the total meat = 1•95 / 0•13

⟼ how many hamburgers shiva make with the total meat = 15 hamburgers .

shiva make 15 hamburgers with 1•95 pounds meat.

verification :

let take shiva make 15 hamburgers with 1•95 pounds meat.

⟼ 0•13 × 15 = 1•95

1•95 = 1•95

hence verified ☑️

Solve for x:
4x/5=20

Answers

The correct response is X=25

find two rational numbers between 3 and 5​

Answers

Answer:

4 is a rational number

Step-by-step explanation:

rational numbers are numbers that can be divided by 2 and itself

Answer:4, 3.6

Step-by-step explanation: there are multiple answers to this questions.

BRAINLIEST NO LINKS OR YOU WILL BE REPORTED!!!!!

Answers

Answer:

180

Step-by-step explanation:

Answer:

117 ft³

Step-by-step explanation:

The tent is composed of a cuboid and a triangular prism

V ( cuboid) = 6 × 8 × 2 = 96 ft³

V(prism) = Ah ( A is the area of triangle and h is length )

              = [tex]\frac{1}{2}[/tex] × 6 × (5.5 - 2) × 2

              = 3 × 3.5 × 2

              = 21 ft³

Total volume = 96 + 21 = 117 ft³

HELP PLEASEEE How can you break up the figure into familiar shapes to determine the area?

A figure is broken into a triangle and rectangle. The rectangle has a base of 5 feet and height of one-third feet. The triangle has a base of 3 and two-thirds feet and height of 2 feet.
Break up the figure into a 2 ft by 3 and two-thirds ft triangle and a 5 ft by One-third ft rectangle.
Break up the figure into a 2 ft by 5 ft triangle and a 5 ft by One-third ft rectangle.
Break up the figure into a 2 ft by One-third ft triangle and a 5 ft by One-third ft rectangle.
Break up the figure into a 2 ft by 1One-third ft triangle and a 5 ft by One-third ft rectangle.

Answers

Answer:

A) Break up the figure into a 2 ft by 3 and two-thirds ft triangle and a 5 ft by One-third ft rectangle.

Step-by-step explanation:

hope it helps...

have a great day!!

Answer:

Your answer would be A: Break up the figure into a 2 ft by 3 and two-thirds ft triangle and a 5 ft by One-third ft rectangle.

Step-by-step explanation:

Nakeisha bought a pair of shorts online for $74. She used a coupon code to get a 10% discount.
The website also applied a 5% processing fee to the price after the discount.
How much did Nakeisha pay, in the end? Round to the nearest cent.

Answers

Answer:

the answer is 69.93

hope this helps!

The number of points Jaden scored in a game is less than 45, and is also a multiple of 7. How many points could Jaden have scored

Answers

Answer:

35

Step-by-step explanation:

The first few multiples of 7 are:

× 7 = 7

× 7 = 14

× 7 = 21

× 7 = 28

× 7 = 35

× 7 = 42

× 7 = 49

× 7 = 56

× 7 = 63

× 7 = 70

The number of points Jaden scored in a game less than 45, and a multiple of 7 is 35 points

How to find how many points Jaden scored?

The multiples of 7 are;

7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84, 91, 98, 105......

Recall,

The number of points Jaden scored in a game is less than 45

From the options, we are left with 17 and 35

17 is not a multiple of 7

Therefore, the number of points Jaden scored in a game less than 45, and a multiple of 7 is 35 points

Learn more about multiples of numbers:

https://brainly.com/question/85194

HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP

Answers

Definitely C or D but I can’t see the answer choices, its blurry.

can someone please help me and write out the answer​

Answers

Answer:

y - (-9) = -10(x - 1)

Step-by-step explanation:

(1, -9) and (-10, 101)

Slope:

m=(y2-y1)/(x2-x1)

m=(101+9)/(-10-1)

m=110/(-11)

m = -10

Point-slope:

y - y1 = m(x - x1)

y - (-9) = -10(x - 1)

Y - ( -9 ) = -10 (x - 1)

what is 5x-9+2-4=9.4

Answers

Answer:

x=5.1

Step-by-step explanation:

5x-9+2-4=9.4

5x=9.4+4-2+9

5x=20.4

x=5.1

Given f(x)=-3x+5f(x)=−3x+5, find f(-6)f(−6).

Answers

Answer:

36

Step-by-step explanation:

When you multiply -6 x -6 you get 36.

Hope this helps:)

hurry pleaseeeeeeeeeeeeeeeeeeeeeee

Answers

Answer:

option 1

Step-by-step explanation:

please help
7x-y=23
y=4x-11

Answers

Answer:

hope it helps have a nice day

Jason has saved 41% of what he needs to buy a 73$ skateboard . Jason found out 50% of 70 is the same things as 70 divided by .50= 140. So he has more than enough to purchase the skateboard. Did he solve correctly

Answers

Answer:

No, Jason did not solve correctly

Step-by-step explanation:

Jason has saved 41% of what he needs to buy a 73$ skateboard.

Jason found out 50% of 70 is the same things as 70 divided by .50= 140. So he has more than enough to purchase the skateboard. Did he solve correctly

Let compare both statements

50% of 70 = 70 ÷ 0.5 (140)

50% × 70 = 140

50/100 × 70 = 140

35 ≠ 140

JASON DID NOT SOLVE CORRECTLY

This is because the left-hand side used the operation of multiplication while the right-hand side used the operation of division.

Answer:

its actually 1.4 ...

Two fair, six-sided dice are rolled. What is the probability that the resulting total is even or greater than 10?

Answers

Answer:

Step-by-step explanation:

Since there are a total of 6 x 6 = 36 outcomes, then the probability that the sum will be greater than 10 is 3/36 = 1/12.

The probability that the resulting total is even or greater than 10 is 7/12.

Given that, two fair, six-sided dice are rolled.

What is the probability?

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.

We know that, probability of an event = Number of favorable outcomes/Total number of outcomes

Here, sample space of two dice is

S={(1,1),(1,2),(1,3),(1,4),(1,5),(1,6), (2,1),(2,2),(2,3),(2,4),(2,5),(2,6), (3,1),(3,2),(3,3),(3,4),(3,5),(3,6), (4,1),(4,2),(4,3),(4,4),(4,5),(4,6), (5,1),(5,2),(5,3),(5,4),(5,5),(5,6), (6,1),(6,2),(6,3),(6,4),(6,5),(6,6)}

Number of favorable outcomes = 18

Total number of outcomes = 36

Probability of getting the total is even = 18/36

= 1/2

Number of favorable outcomes = 3

Probability of getting the total is greater than 10 = 3/36

= 1/12

So, probability is 1/2 + 1/12

= 6/12 + 1/12

= 7/12

Therefore, the probability that the resulting total is even or greater than 10 is 7/12.

To learn more about the probability visit:

https://brainly.com/question/11234923.

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A triangle has side lengths of 39, 80, and
87. Is this triangle a right triangle?

Answers

Answer:

Step-by-step explanation:

39²=1521

80²=6400

39²+80²=1521+6400=7921

87²=7569

7921≠7569

so it is not aright angled triangle.

Answer:

si

Step-by-ste

This high school stadium contains a track that surrounds a soccer field. The soccer field is 100 yards long and 70 yards wide
1.What is the area of one of the semicircles at either end of the track?
2.The school decided to cover the semicircles with grass to create a space for stretching and other activities. How many square yards of grass will the school need to cover the entire circle?
3.What is the distance around one of the semicircles at either end of the soccer field?
4.What is the distance around the inner lane of the track (i.e., the lane closest to the soccer field)? PLEASE HELP <3

Answers

Answer:

Step-by-step explanation:

1. 1923.25

2.about 3846.5 yards

3.219.91

4.639.82

Answer: See below

Step-by-step explanation:

1) 1/2 x 3.14 x 35^2

1/2 x 3.14 x 1225

1/2 x 3846.5

A = 1923.25 yd^2

2) (3.14)r^2

(3.14) (35)^2

3846.50 yd^2

3) P = d + (3.14)r^2

P = 70 + (3.14) (35)

P = 70 + 109.90

P = 179.90 yd

4) P = 2( l + w)

P = 2 (70 + 100)

P = 2 (170)

P = 340

Perimeter of the square minus the perimeter of the circle.

340 - 179.90 = 160.10 yd

Answer this question to get marked as barinliest!!!!!

Answers

Here’s the answer and working out. Hope it helps

I can’t explain look at picture

Answers

Answer:

x = 12.48

y = 13.22

Step-by-step explanation

Im not sure if its correct

10^2 + b^2 = 16^2

100 + b^2 = 256

b^2 = √156

b = 12.48

b= 12 ( If needed to round to the nearest whole number)

a^2 + 15^2 = 20^2

a^2 + 225 = 400

a^2 = √175

a = 13.22

a = 13 ( If needed to round to nearest whole number)

find the circumference of the pizza nearest to to the nearest whole number if the radius is 7 in​

Answers

Answer:

69

Step-by-step explanation:

420+911÷360 no scope=69

A house is worth $156,000
in 2015. In 2017, it is
worth $192,000. What is
the rate of change?

Answers

Answer:

$18,000

Step-by-step explanation:

Difference in the years is 192000-156000= 36000

To find rate of change, divide the difference by amount of years in difference.

36000/2017-2015

36000/2

Hence, $18000 per year

Hope it helps!

hii please help i’ll give brainliest

Answers

Answer:

(-5,-3)

Step-by-step explanation:

Answer:

the answer is b

Step-by-step explanation:

Please help me I’m really confused!!

Erica says that you can use the fact 6 = 2 = 3 to find 60 = 2.
Enter values to complete her explanation below.

Answers

Answer:

6÷2=3 means that 6 ones can be broken into 3 groups of 2 ones each.

60÷2=30 means that 60 ones can be broken into 30 groups of 2 ones each.

60÷2=30

For the equation y=-6/5x+3 enter the equation of a perpendicular line

Answers

Answer:

y = 5/6x + 3

Step-by-step explanation:

perpendicular line= have negative reciprocal slope

the slope of y = - 6/5x + 3 is - 6/5, and the negative reciprocal slope of - 6/5 is 5/6.

Ella has three pitchers that each hold 1.5 liters of lemonade. She charges $0.38 for every 100 milliliters of lemonade.

How much will Ella make if she sells all of the lemonade in the pitchers?

Answers

Let her earning be x
The volume of 1 pitcher in millilitres = 1.5 x 1000 = 1500 ml [1 liter is 1000 milliliter]
3 pitchers = 1500 x 3 = 4500 ml
100 ml = 0.38 rs.
4500 ml = 0.38 x 4500= 1690 rs.
Answer:
$17.10
Step-by-step explanation:
theres 1000 millileters in a liter so .38 x 10 = 3.8
500 more millileters so .38 x 5 = 1.9
3.8+1.9=5.7
5.7 for one pitcher so multiply 5.7 by 3 = 17.1


3. When should points of intersection be included within the feasible region of a system of nonlinear inequalities
and why

Answers

Answer:

Points of intersection should be included within the feasible region (the solution set) of a system of nonlinear inequalities when the boundary lines that create the point are solid. A dashed line indicates that the points are not included in the solution set. Therefore, if one boundary line is dashed and one is solid, the point of intersection will not be included within the feasible region.

Step-by-step explanation:

Points of intersection should be included within the feasible region of nonlinear inequalities when the boundary lines that create the point are solid.

What is Inequality?

This is defined as an expression in which the sides are not equal to each other.

The presence of boundary lines which have dashed and solid ones, the point of intersection will not be included within the feasible region.

Read more about Inequality here https://brainly.com/question/24372553


A bag of sweets contains only mints, sherberts and toffees.
The ratio of the number of mints to sherberts is 2:3.
The ratio of the number of sherberts to toffees is 7:5.
What fraction of the sweets are sherberts?

Answers

The Lowest Common Multiple Of 3 and 7 is 21
This means the ratio of mints:sherberts:toffees can be written as 14:21:15
The fraction of sweets that are sherberts is therefore 21/(14+21+15) = 21/50

The fraction of the Sweets are Sherberts is 21/50

What is mathematical expression?

When we combine numbers and variables in a valid way, using operations such as addition, subtraction, multiplication, division, exponentiation, and other operations and functions as yet unlearned, the resulting combination of mathematical symbols is called a mathematical expression.

Mints:Sherbets = M:S = 2:3

Sherberts:Toffees = S:T = 7:5

Mints:Sherberts:Toffees = M:S:T = 2*7 : 7*3 : 3*5 = 14:21:15

Total sweets = 14+21+15 = 50 (Adding all the fractions  after multiplying)

Therefore, the fraction of the Sweets are Sherberts = 21/50

Read more about mathematical expression at :

https://brainly.com/question/10413253

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10. The figure is a rectangle. What is x?
28

Answers

Answer:

152

Step-by-step explanation:

180 minus 28 is 152 degrees

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