A production line operation is designed to fill cartons with laundry detergent to a mean weight of 32 ounces. A sample of cartons is periodically selected and weighed to determine whether under-filling or over-filling is occurring. If the sample data lead to a conclusion of under-filling or over-filling, the production line will be shut down and adjusted to obtain the proper filling.
a. Formulate the null and alternative hypotheses that will help in deciding whether to shut down and adjust the production line.
b. Comment on the conclusion and the decision when the null hypothesis cannot be rejected.
c. Comment on the conclusion and the decision when the null hypothesis can be rejected.

For this case, the first thing we should do is write the linear function that best suits the table.

In this case we have the following function:

y = 7.5x - 5

C = 7.5t-5

For C = 100 we have:

100 = 7.5t-5

We clear the time:

t = (100 + 5) / (7.5)

t = 14

Answer:

it did take the pizza to reach 100 degrees Celsius about 14 minutes

Answer:

read step-by-step explanation

Step-by-step explanation:

it's a trick question u can't u can get close doing (7+7)×(7+1)-7=105 but it's not 100

Answer:

-6/5

Step-by-step explanation:

I hope it helps, bye

Answer:

The 16 ounces at 1.76.

Step-by-step explanation:

Divide total cost by the quantity to get cost per unit.

Ounces Cost Cost/Ounce

60      5.40          0.09  

28      2.24          0.08  

16       1.76           0.11  

Answer:

Step-by-step explanation:

There are multiple ways to do this, but I'll go with the first one I learned and the simplest.

So the standard equation for linear functions is y=kx+b, right? Take two groups of (x,y) and plug them in.

Eg. (Taking (-3,-1) and (1,3)) -1=-3k+b and 3=k+b

By solving the above system, you get k=1, b=2. Put those into the standard equation and you get y=x+2, which is your answer.

Answer:

12 students

Step-by-step explanation:

30×0.4=12.

Answer:

Step-by-step explanation:

2 x 10¹² / 5 x 10⁶ = 2/5 x 10⁽¹²⁻⁶⁾ = 0.4 x 10⁶ = 4 x 10⁵

Hello! Please mark Brainliest for the explanation!

Answer:

Area: 10 inches

Step-by-step explanation:

As the paper itself states, the area of a triangle would be

1/2bh

Simply plug the given values in!

1/2(5)(4) =

1/2(20)=

10

Have a wonderful day!

Answer:

Area  = 10 units

Skills needed: Triangle Theory, Substitution of Values

Step-by-step explanation:

1) We are given that the formula to finding the area of the triangle is [tex]\frac{1}{2}bh[/tex].... this essentially means that it is:  [tex]\frac{1}{2}[/tex] times base (b) times height (h)

2) We can then use substitution to solve this. IN the diagram shown there, 4 is the base, and the height is 5 (since b = base, and h = height).

Area is [tex]\frac{1}{2} * b * h[/tex] in general (the * means multiplication)

Substitute in the values and it is: [tex]\frac{1}{2} * 4 * 5[/tex]

--> [tex]4*5=20[/tex]

--> [tex]\frac{1}{2} * 4*5 = \frac{1}{2} * 20 = 10[/tex]

1/2 of 20 is ten, so that is how we arrive at that final answer.

Hope you understand, have a great day :)

Answer:

D, E and F

Step-by-step explanation:

Beause y is a point. It is a prime example physics.

The question and image??

Answer:

3/3 is a whole so I believe it would be the whole number line

Answer:

Its letter A. (12, -2)

Step-by-step explanation:

Answer:

3/16

Step-by-step explanation:

start by converting 1 1/2 to an improper fraction by multiplying the 1 by the denomerator and then adding the 1 from teh numerator. Then place that all over the denomantor two. so you get 3/2

then set up your equation:

3/2 x 1/8

you do the resipricol of one of the numbers so instead of 8/1 we do 1/8

3 times 1= 3

2 times 8 is 16

3/16 does not simplify so thats your answer

Answer:

3/16

Step-by-step explanation:

((1 1/2)/8)=(3/2)/8

8 times 2(demoninator)=16

numerator stays same so the answer is 3/16

Answer:

7 × 8

Step-by-step explanation:

7 number of students × 8 books each student has 7 × 8 = 56

Answer:

8 smoothies: 4:6

2 smoothies: 1:1.5, etc.

The average speed of the rocket from 3 to 4 seconds after launch is: -40 ft/s

Given the equation as a model, h(t) =–16t² + 72t.

Average speed from 3 to 4 seconds = [tex]\frac{h(4) - h(3)}{4 - 3}[/tex]

Find h(4):

h(t) =–16t² + 72t

h(4) = -16(4)² + 72(4)

h(4) = -256 + 288

h(4) = 32

Find h(3):

h(t) = -16t² + 72t

h(3) = -16(3)² + 72(3)

h(3) = -144 + 216

h(3) = 72

Plug in the value into  [tex]\frac{h(4) - h(3)}{4 - 3}[/tex]:

average speed from 3 to 4 secs = [tex]\frac{32 - 72}{4 - 3} = -40[/tex]

Therefore, the average speed of the rocket from 3 to 4 seconds after launch is: -40 ft/s

Learn more about average rate of change on:

https://brainly.com/question/11627203

Answer:

n=5

6n^2-15=6(5)^2-15 -> add 15 to both sides

6n^2=6(5)^2 -> divide both sides by 6

n^2=5^2 -> sqr both sides

n=5

337.5 miles, or 337 miles!

Answer: It will be able to travel 162 miles

Step-by-step explanation:

Step-by-step explanation:

For standard embossed we recommend 8 pints/4.5L for 4-5 rolls. For heavy embossed we recommend 7 pints/4L for 3-4 rolls.

hope that help you

Answer:111.94

Step-by-step explanation:

'Percent (%)' means 'out of one hundred':

p% = p 'out of one hundred',

p% is read p 'percent',

p% = p/100 = p ÷ 100.

25% = 25/100 = 25 ÷ 100 = 0.25.

100% = 100/100 = 100 ÷ 100 = 1.

New value =

149.25 - Percentage decrease =

149.25 - (25% × 149.25) =

149.25 - 25% × 149.25 =

(1 - 25%) × 149.25 =

(100% - 25%) × 149.25 =

75% × 149.25 =

75 ÷ 100 × 149.25 =

75 × 149.25 ÷ 100 =

11,193.75 ÷ 100 =

111.9375 ≈

111.94

Answer:

86493225

Step-by-step explanation:

Hope it helps

Using derivatives, it is found that the slope of the line tangent to the graph of y at x = 1 is of 5.

The equation is:

[tex]y(x) = \frac{9x^2}{x + 2}[/tex]

The slope of the line tangent to the graph of y at x = 1 is [tex]y^{\prime}(1)[/tex].

Applying the quotient rule, we have that:

[tex]y^{\prime}(x) = \frac{[9x^2]^{\prime}(x + 2) - [x + 2]^{\prime}(9x^2)}{(x + 2)^2}[/tex]

[tex]y^{\prime}(x) = \frac{18x(x + 2) - 9x^2}{(x + 2)^2}[/tex]

[tex]y^{\prime}(x) = \frac{9x^2 + 36x}{(x + 2)^2}[/tex]

Then, when x = 1:

[tex]y^{\prime}(1) = \frac{9(1)^2 + 36(1)}{(1 + 2)^2} = \frac{45}{9} = 5[/tex]

The slope of the line tangent to the graph of y at x = 1 is of 5.

You can learn more about the use of derivatives to find the slope of a tangent line at https://brainly.com/question/10580177

Answer: First question: D, Second question: A

Step-by-step explanation:

Note: I'm not so good at expanding so I'll just solve it :)

So this leaves either C or D

Apply the sum rule:

8-70=-62

The only one that gives a negative sum is D

For the second picture, the one you have chosen is correct

a1 = 3 and r = -5 so:

an = 3/5 * (-5)^n

Plugging in 8 for n (the first choice) we get the given term: -234,375

Answer:

Step-by-step explanation:

Putting n = 0 and n = 1 into the expression being summed will show you which series is correct.

  2 -7n for n=0 is 2 -7·0 = 2

  2 -7n for n=1 is 2 -7·1 = -5

The series of the last choice (d) is correct.

__

The given sequence is exponential with a first term of 3 and a common ratio if -5. Then the n-th term is ...

  an = 3(-5)^(n -1)

We want to find n for an = -234,375.

  -234375 = 3(-5)^(n-1)

  -78125 = (-5)^(n-1)

For n to be a real number, we must have n even. In that case, the value of n is equivalent to the value that is the solution to ...

  78125 = 5^(n -1)

Taking logs of both sides, we get ...

  log(78125) = (n -1)·log(5)

  log(78125)/log(5) = n -1 . . . . . . . . . . . . divide by log(5)

  n = 1 +log(78125)/log(5) = 1 +7 = 8 . . . add 1 and evaluate

-234,375 is the 8th term of the sequence.

Answer:

A good paragraph should contain at least the following four elements: Transition, Topic sentence, specific Evidence and analysis, and a Brief wrap-up sentence (also known as a warrant) –TTEB!

Step-by-step explanation:

Answer:

the first one

Step-by-step explanation:

plz give brainliest

Answer:

<4 corresponds with <8

Step-by-step explanation:

They correspond because they are in the same position relative to the lines.

As you can see, it is in the exterior area and it matches up exactly with the other angle. I attached an example picture of a corresponding angle

Answer:

where is the triangle

Step-by-step explanation:

I don't no where is the triangle