Starbucks Coffee Co. Uses a data-based approach to improving the quality and customer satisfaction of its products. When survey data indicated that Starbucks needed to improve its package-sealing process, an experiment was conducted to determine the factors in the bag-sealing equipment that might be affecting the ease of opening the bag without tearing the inner liner of the bag. (Data extracted from L. Johnson and S. Burrows, "For Starbucks, Itâs in the Bag," Quality Progress, March 2011, pp. 17â23. ) One factor that could affect the rating of the ability of the bag to resist tears was the plate gap on the bag-sealing equipment. Data were collected on 19 bags in which the plate gap was varied. The results are stored in Starbucks.

a. Construct a scatter plot.

b. Assuming a linear relationship, use the least-squares method to determine the regression coefficients b0 and b1.

c. Interpret the meaning of the slope, b1, in this problem.

d. Predict the mean tear rating when the plate gap is equal to 0.

e. What should you tell management of Starbucks about the relationship between the plate gap and the tear rating?

Answer:

V = 1207

Step-by-step explanation:

Answer:

28k+68 hope this helps!

Step-by-step explanation:

Answer:

68 + 28k

that is to simplify it to solve it is 4*(7k+17)

Step-by-step explanation:

The probability of landing on the color gray ONCE

= 2/7

Since it is spun 35 times, the expected number of times that it lands on a gray will be

(2/7 × 35) = 10 times

The probability of landing on the color black ONCE

= 1/7

Since it is spun 105 times, the expected number of times that it lands on a black will be

(⅐ × 105) = 15 times

The formula is:

Expected value = (Number of spinning)×(probability of landing on a colour)

Answer:

not answered this question

The solution is Option A.

The equation of line is y = 7x - 21 and the initial y value of the function is given by y = -21

What is an Equation of a line?

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

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

Given data ,

Let the equation of line be represented as A

Now , the value of A is

Let the first point be P = P ( 3 , 0 )

Let the second point be Q = Q ( 8 , 35 )

Now , the slope of the line between the points is given by the formula

Slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

Slope m = ( 35 - 0 ) / ( 8 - 3 )

Slope m = 35/5

Slope m = 7

Now , the equation of line is given by the formula ,

y - y₁ = m ( x - x₁ )

Substituting the values in the equation , we get

y - 0 = 7 ( x - 3 )

y = 7x - 21

Now , the initial value of y is calculated when x = 0

So , substituting the value of x = 0 in the equation , we get

y = 7 ( 0 ) - 21

y = -21

Therefore , the initial value of y = -21

Hence , the equation of line is y = 7x - 21

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The angle of the triangular plot at which the surveyor stands is 83°

A triangle is a shape with three sides and three angles. From the information given, the sides of the three angles are different, we can say the triangle is a scalene triangle since no sides are equal.

To determine the angle of the triangular plot at which the surveyor stands, we need to use the cosine formula.

Given that:

Let's assume that the angle at which the surveyor stands is ∠A, then:

[tex]\mathbf{a^2= b^2+c^2-2 bc \times Cos A}[/tex]

Making cos A the subject, we have:

[tex]\mathbf{cos \ A = \dfrac{ b^2+c^2-a^2}{2bc}}[/tex]

[tex]\mathbf{cos \ A = \dfrac{ 250^2+200^2-300^2}{2(250 \times 200)}}[/tex]

[tex]\mathbf{cos \ A = 0.125}[/tex]

A = cos⁻¹ (0.125) ≅ 83°

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Answer:

cos–1(0.125) = 83°

Step-by-step explanation:

The spinner illustrates probability, and it is expected that a vowel will be spun approximately 10 times

In the spinner, we have:

Sections = 6

Vowels = 2 i.e. A and E

The expected number of vowels in 30 spins is:

Expected = Vowels/Sections * 30

This gives

Expected = 2/6* 30

Evaluate the product

Expected = 10

Hence, it is expected that a vowel will be spun approximately 10 times

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Answer:

the answer is 10

Step-by-step explanation:

Answer:

The same

Step-by-step explanation:

length does not mean anything in terms of diameter

Answer:

28.27 inches

Step-by-step explanation:

hope this helps :)

Answer:

Because there are 3  purple and only one orange...

Answer:        

Step-by-step explanation:

3x^4+6x^3-x^2+1...............

as you already know, to get the inverse of any expression we start off by doing a quick switcheroo on the variables and then solving for "y", let's do so.

[tex]\stackrel{h(x)}{y}~~ = ~~6\sqrt[3]{2x+5}-1\implies \stackrel{\textit{quick switcheroo}}{x~~ = ~~6\sqrt[3]{2y+5}-1} \\\\\\ x+1=6\sqrt[3]{2y+5}\implies \cfrac{x+1}{6}=\sqrt[3]{2y+5}\implies \left( \cfrac{x+1}{6} \right)^3=\left( \sqrt[3]{2y+5} \right)^3[/tex]

[tex]\left( \cfrac{x+1}{6} \right)^3=2y+5\implies \left( \cfrac{x+1}{6} \right)^3-5=2y\implies \cfrac{\left( \frac{x+1}{6} \right)^3-5}{2}=y \\\\\\ \cfrac{\left( \frac{x+1}{6} \right)^3}{2}-\cfrac{5}{2}=y\implies \cfrac{~~ \frac{(x+1)^3}{6^3}~~}{2}-\cfrac{5}{2}=y\implies \cfrac{(x+1)^3}{432}-\cfrac{5}{2}=\stackrel{y}{h^{-1}(x)}[/tex]

Answer:

I believe its D

If correct please give brainliest

Step-by-step explanation:

Answer:

C)

Step-by-step explanation:

The first inequality, y ≥ 2x + 1 has no solution below the function since it is  greater than OR EQUAL to it. Similarly, the second inequality, y > 1/2x - 1 has no solution at or below the function since it is only GREATER THAN this value.

If we look at the graph of these inequalities, we see that they don't overlap at all in quadrant IV. For that reason, this area of the graph there will have no solution, or empty set.

Hope this helps and God bless!

Answer:

3b

Step-by-step explanation:

unless b stands for something it should be just that

Answer: Row 3

Row 2

6 and 10

Step-by-step explanation: C B A

Answer:

c. 18[tex]\pi[/tex] cubic inches

Step-by-step explanation:

half sphere's volume:

[tex]V=\frac{2}{3} \pi r^{3}[/tex]  r = 6/2 = 3 inches

[tex]V=\frac{2}{3} \pi (3)^{3} =\frac{2}{3}( 27\pi )=\frac{54}{3} \pi =18\pi[/tex]

Hope this helps

Using z-scores, it is found that he must score 550 on Exam B order to do equivalently well as he did on Exam A.

The z-score of a measure X of a distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The z-score measures how many standard deviations the measure is above or below the mean.

For Exam A, we have that the parameters are [tex]X = 610, \mu = 650, \sigma = 40[/tex], hence his grade had a z-score given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{610 - 650}{40}[/tex]

[tex]Z = -1[/tex]

In Exam B, with [tex]\mu = 600, \sigma = 50[/tex], we want the grade X with the same z-score of Z = -1, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]-1 = \frac{X - 600}{50}[/tex]

X - 600 = -50

X = 550.

He must score 550 on Exam B order to do equivalently well as he did on Exam A.

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Answer:

For 8, the answer is

i) (pi/3) + 2*(pi)*k, k is any integer

ii) -(pi/3) + 2*(pi)*k

Answer:

22/29

Step-by-step explanation:

First, add up all of the numbers given:

16 + 4 + 6 + 3 = 29

Now since there are 16 students who have a dog and a cat, and 6 who only have a dog, we add those numbers:

16 + 6 = 22

Now since there are 29 total numbers, that will be the number of outcomes out of the 22 people with dogs:

22/29

Answer:

Step-by-step explanation: What grade math homework is this?

Answer:

113°

Step-by-step explanation:

1) according to the condition m(∠B)=m(∠D)=67°;

2) m(∠C)=180°-m(∠B)=180°-m(∠D);

m(∠C)=180-67=113°.

Answer:

The green box

Step-by-step explanation:

1.26 > 1.026

This is because the tenths value of 1.26 is greater than the tenths value of 1.026.

Answer:

The green box would be your answer.

Step-by-step explanation:

When you look at the decimals place, the Red boxes decimal place has a 0 infront of the 26 making it a smaller decimal.

Answer:

55°

Step-by-Step Explanation:

Supplementary Angles means it adds up to 180°.

You can find the measure of the missing angle by doing 180°-125°=55°.

Answer:

8 :)

Step-by-step explanation:

Side 1: 15

Side 2: 14

Side 3: 7 + x

Side 1 and 3 are the same length so we subtract :D

15 - 7 = 8

Have an amazing day!!

Please rate and mark brainliest!!

Answer:

81

Step-by-step explanation:

f ( x ) = ( x - 3 )² + 17

To find : f ( - 5 )

f ( - 5 ) = f ( x )

Here,

x = - 5

f ( - 5 ) = ( - 5 - 3 )² + 17

          = ( - 8 )² + 17

          = 64 + 17

f ( - 5 ) = 81

Answer:

$114.70

Step-by-step explanation:

96.50 for 9 hours

18.20 for hotdogs

Answer:

(0, 75)

Step-by-step explanation:

The y-intercept is the y-coordinate of a function when x is equal to 0. In other words, it is the point at which the function crosses the y-axis.

For the equation y = 8x + 75, you plug in x = 0 to get:

y = 8(0) + 75 = 75, meaning that y = 75 when x = 0.

This gives you the y-intercept (0, 75).