MATHEMATICS COLLEGE

A manufacturer of salad dressings uses machines to dispense liquid ingredients into bottles that move along a filling line. The machine that dispenses dressing is working properly when 8 ounces are dispensed. The standard deviation of the process is 0.15 ounces.
A sample of 48 bottles is selected periodically, and the filling line is stopped if there is evidence that the mean amount dispensed is different from 8 ounces.

Suppose that the mean amount dispensed in a particular sample of 48 bottles is 7.983 ounces.

Calculate the P-Value.

Answers

Answer 1

Answer:

Answer:

P-value = 0.4324

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 8 ounces

Sample mean, $\bar{x}$ = 7.983 ounces

Sample size, n = 48

Population standard deviation, σ = 0.15 ounces

First, we design the null and the alternate hypothesis

$H_(0): \mu = 8\text{ ounces}\nH_A: \mu \neq 8\text{ ounces}$

We use Two-tailed z test to perform this hypothesis.

Formula:

$z_(stat) = \displaystyle\frac{\bar{x} - \mu}{(\sigma)/(√(n)) }$

Putting all the values, we have

$z_(stat) = \displaystyle(7.983 - 8)/((0.15)/(√(48)) ) = -0.7851$

Now, we calculate the p-value with the help of standard normal z table.

P-value = 0.4324

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Find the missing coefficient. (5d − 7)(5d − 6) = 25d2 ++ 42 5 65 –5 –65

Answers

Answer:

-65d

Step-by-step explanation:

(5d − 7)(5d − 6)

$(5d - 7)(5d - 6)$

Multiply it using FOIL method to find the missing term

Multiply 5d inside the second parenthesis and then multiply -7 inside second parenthesis

$5d \cdot 5d= 25d^2$

$5d \cdot -6= -30d^2$

$-7 \cdot 5d=-35d$

$-7 \cdot -6=42$

Now write all the terms together

$25d^2-30d-35d+42$

Combine like terms

$25d^2-65d+42$

HEre -65d is missing

i do believe it is -65d because the equation will look like this in the end
-65d=-65d.

Wat does PAYE stands for?

Answers

Answer:

P = Pay.

A = As.

Y = You.

E = Earned.

Step-by-step explanation:

PAYE Stands for pay as you earned.

-2[(4y+1)-(2y-2)]=6(7-y)-6

Answers

Answer:

y=9

Step-by-step explanation:

-2[(4y+1)-(2y-2)]=6(7-y)-6

-2[4y+1-2y-2]=6(7-y)-6

-2[2y-1]=6(7-y)-6

-2y+2=6(7-y)-6

-2y+2=42-6y-6

Add 6y to both sides

4y+2=42-6

4y+2=38

Subtract 2 from both sides

4y=36

Divide both sides by 4

y=9

What is the relationship between these two values? 8 and 400

Answers

Final answer:

The numbers 8 and 400 have different orders of magnitude. They also possess a ratio relationship, with 400 being 50 times bigger than 8. While not directly related through square and square root, both numbers share these relationships with other numbers.

Explanation:

The relationship between the values 8 and 400 can be understood through the concept of order of magnitude in mathematics. The order of magnitude is a rough measure of the size of a number, typically based on powers of 10.

An important factor in analyzing this relationship is understanding the concept of ratio and interval level data. Unlike interval level data, the ratio between the numbers, in this case 8 and 400, carries meaningful information in a ratio scale data. In this case, 400 is 50 times bigger than 8.

Another mathematical relationship between 8 and 400 is square and square root, since 400 is the square of 20, and 8 is the square root of 64. So, although there is no direct square or square root relationship between 8 and 400, they share these relationships with other numbers.

Learn more about Order of Magnitude here:

brainly.com/question/37568558

#SPJ2

Answer:

They both come in the 8 times table.

CIO and MAP are supplementary MAP measures five times the other angle. What is the complement of the smaller anglo?
Provide the equation to solve for the unknown angle
Measure of Angle CIO
MAP
Complement of smaller angle

Answers

Answer:

Measure of CIO = 30°

Measure of MAP = 150°

Complement of smaller angle = 60°

Step-by-step explanation:

Given that <CIO and <MAP are supplementary, therefore:

m<CIO + m<MAP = 180°

Let x be m<CIO

m<MAP = 5x

Thus:

x + 5x = 180

Solve for x

6x = 180

Divide both sides by 6

x = 30°

The smaller angle = m<CIO = x = 30°

The bigger angle = m<MAP) = 5x = 5(30) = 150°

Complement of the smaller angle = 90 - 30 = 60°

9/8+7/40= and does the answer simplify

Answers

Answer:

1 3/10

Step-by-step explanation:

9/8 +7/40

Get a common denominator of 40

9/8 *5/5 + 7/40

45/40 + 7/40

52/40

Rewriting as

40/40 +12/40

1 + 3/10

1 3/10

Answer:

1 3/10

Step-by-step explanation:

First, you need to get a common denominator:

8x5=40 <-- common denominator

45/40+7/40= 52/40

yes you can simplify it.

your final answer will be: 1 3/10

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A set of cards contains cards numbered 1 – 8. Mrs. Jacob’s class is conducting an experiment in which a card is drawn from the pile, the number is recorded, and then the card is returned to the set. The class will conduct 1,000 trials. Based on the theoretical probability, which is the best prediction for the number of times a 4 will be drawn from the pile?