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 underfilling or overfilling is occurring. If the sample data lead to a conclusion of underfilling or overfilling (in other words, if they lead to a conclusion that the mean weight is different from 32 ounces), the production line will be shut down and adjusted to obtain proper filling. What conclusion is appropriate when H0 cannot be rejected

Answer:

5

Step-by-step explanation:

( 2 + 4 + 6 + 8) / 4  = 5

Step-by-step explanation:

2+4+6+8=20

numbers of digits=4

average=sum of observation/numbers of observation

average=20/4=5

MARK ME AS A BRAINLIST, sister

Answer:

Im not really sure what the question is asking but the drama club could sell 70 adult tickes and 30 student tickes and they would make $950.

Step-by-step explanation:

Answer:

possible solution (10,80)

Step-by-step explanation:

Variable Definitions:

x=the number of student tickets sold

y= the number of adult tickets sold

“at most 100 people"→100 or fewer tickets

Therefore the total number of tickets sold, x+y, must be less than or equal to 100:

x+y≤100

“no less than $770"→$770 or more

Each student ticket sells for $6, so x student tickets will bring in 6x dollars. Each adult ticket sells for $11, so y adult tickets will bring in 11y dollars. Therefore, the total amount of revenue 6x+11y must be greater than or equal to $770:

6x+11y≥770

Solve each inequality for y:

x+y≤100

y≤−x+100

6x+11y≥770

11y≥770−6x

y≥ -6/11x+70

Graph y≤100−x by shading down and graph y≥-6/11x+70

by shading up

Answer:

60º

Step-by-step explanation:

180º-35º-85º=60º

Answer:

there are no solutions

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

The sum of angles around a point is added up to 360°.

Accordingly,

4x - 2 + 9x + 6 + 8x - 5 + 46 = 360

Combine like terms.

21x + 45 = 360

Subtract 45 from both sides.

21x = 360 - 45

21x = 315

x = 15

Answer:

dont mind me

Step-by-step explanation:

Answer:

false

true

true

false

.......

Answer:

74.97+n

Step-by-step explanation:

We need to simplify the given polynomial i.e.

27.97 + 47+ n​

Here, n is a constant number

Firstly we add 27.97 and 47 such that,

27.97 + 47+ n​ = 74.97+n

Hence, the simplified form is 74.97+n.

Answer:

$5,708.68

Step-by-step explanation:

A= 2000(1+6/100)¹⁸

Answer:

c

Step-by-step explanation:

Answer: c

Step-by-step explanation:

Answer:

I hope this helps you

Step-by-step explanation:

A = 1/2 h (a+b)

= 1/2 × 8 (15+21)

= 1/2 × 36 × 8

= 36×4

= 144

Answer:

29

Step-by-step explanation:

18+15=23 8+21=29

Answer:

No solution

Step-by-step explanation:

Use substitution

2x+1=2x-1

Subtract 2x on both sides

1= -1

No solution

The side length of this square is equal to [tex]\frac{4}{7}\;inches[/tex]

Given the following data:

To determine the side length of this square:

In this exercise, you're required to solve for the length of the sides of a square that has an area of  [tex]\frac{16}{49}[/tex] square inches.

Mathematically, the area of a square is calculated by using the formula;

[tex]A=S^2[/tex]

Where;

Substituting the value into the formula, we have;

[tex]\frac{16}{49}=S^2[/tex]

Taking the square root of both sides, we have;

[tex]S=\sqrt{\frac{16}{49}} \\\\S=\frac{4}{7}\;inches[/tex]

Read more on area of a square here: https://brainly.com/question/16758129

Answer: z = 1/2

Step-by-step explanation: subtract 6 from both sides to get  2z=1 divide both sides by 2, you get z = 1/2 check by inputting 1/2 for z

2(1/2)+6= 7

1/2 of 2 is 1

1+6=7

it checks out :)

Answer: z= 1/2

explanation:

if 7=2z+6, z would be 1/2, because 2 times 1/2=1. then 6+1 s equal to 7

Answer:

22123

Step-by-step explanation:

→ Find the multiplier

3% decrease = 0.97

→ Multiply the population by the multiplier which is to the power of years

30000 × 0.97¹⁰ = 22122.7 = 22123

Step-by-step explanation:

the dimension for the output isn't correct.

when u multiply 2x2 matrix by 2x1 matrix, the output matrix must have dimensions of 2x1

Answer:

23

Step-by-step explanation:

first term(a)= 2

difference (d) = 1.5

it's an arithmetic progression.

the formula for nth term is a+(n-1)d

n= 15

putting in the formula i get,

t15= 23

Answer:

√ 178

Step-by-step explanation:

3(7d + 4e) = 3 • 7d + 3 • 4e = 21d + 12e

Answer:

D 150 thats easy multiply or add

Answer:

96 cookies.

Step-by-step explanation:

I don't love the wording of the question, but here's what I see:

Lisa Friday: 24

Lisa Saturday: 36

Maria total: 36

Cookie total: 96

-----------------------------------------------------

I can't really tell from how the question is worded if Maria's total was the total of what Lisa made, and she did it all on Saturday, or if Maria baked Lisa's Saturday number of cookies.

If 96 is the wrong answer, then try:

Lisa Friday: 24

Lisa Saturday: 36

Maria total: 60

Cookie total: 120

Answer: 44 matches

Step-by-step explanation:

Let's take the given information

They won 37 matches

1/9th of their matches resulted in a draw

1/9 out of 90 is 9

You can take 90/9 and you will get 9

Now let us add 37+9 and you get 47

Now take 90-47

44 Matches lost

22/45 or 44/90

Step-by-step explanation:

[tex]70 \div 5 = 14[/tex]

Answer:

6:1

Step-by-step explanation:

Answer: 10

Step-by-step explanation:

The expected number of blue marbles in the representative sample is 10. This is because the ratio of white marbles to blue marbles in the population is 5:6, so for every 5 white marbles there are 6 blue marbles. Since the representative sample contains 2 white marbles, the expected number of blue marbles should be 6 times the number of white marbles, or 6 x 2 = 10.

Answer:

A= 16 B= 2

The second part is B

Answer:

22) 20000000

23) 0.034

24) 0.0000000015

25) 59000000000

26) 0.0048

27) 625000

Step-by-step explanation:

Step-by-step explanation:

rational. meter. greek

I'll try to find.

Answer:

Part A

y = 8

Part B

We can find BF by either;

a) Through Pythagoras theorem to find the length of a side in a right triangle

b) The known rate of change of the length of the line FC with height

Step-by-step explanation:

Part A

The given parameters are;

FC = 5

We are to find BF

By the triangle proportionality theorem, we have;

FC:BF = EC:AE

From the given draining we have;

C(10, 2), F(7, 6), B(5.5, y), E(4, 2), A(1, 2)

Points A,  E and C are have the same y-coordinate values, therefore, we have;

EC = 10 - 4 = 6

AE = 4 - 1 = 3

Therefore, we have;

5/BF = 6/3 = 2

BF = 5/2 = 2.5

Using the formula for finding the distance between two points, we have;

BF = √((5.5 - 7)² + (y - 6)²)

BF² = 2.5² = (5.5 - 7)² + (y - 6)²

6.25 = 2.25 + (y - 6)²

6.25 - 2.25 = 4 = (y - 6)²

√4 = √(y - 6)² = (y - 6)

±2 = y - 6

y = 6 + 2 = 8, or y = 6 - 2 = 4

Given that from the diagram, y > 6, we have y = 8

Part B

a) To find BF we can use the Pythagoras's theorem given that we know the coordinates of B and F as follows;

BF = √((5.5 - 7)² + (8 - 6)²) = 2.5

b) Given that BF is on the same straight line as FC, BF can be found through the rate of change of the y-values with the length of the line

We can also find BF by using proportion of increase in 'Δy' to the length of the line BFC as follows;

From point C to point F, Δy = 6 - 2 = 4 and the length of the line FC = 5

Therefore, from point B to point F, Δy = 8 - 6 = 2, ∴ BF = 2 × 5/4 = 2.5