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A machine that is programmed to package 1.20 pounds of cereal is being tested for its accuracy In a sample of 36 cereal boxes, the sample mean filling weight is calculated as 1.22 pounds. The population standard deviation is known to be 0.06 pound. Identify the relevant parameter of interest for these quantitative data. The parameter of interest is the proportion filling weight for all cereal packages. The parameter of interest is the average filling weight for all cereal packages.
A-1. Identify the relevant parameter of interest for these quantitative data.
A) The parameter of interest is the average filling weight of all cereal packages.
B) The parameter of interest is the proportion filling weight of all cereal packages.
A-2. Compute its point estimate as well as the margin of error with 95% confidence. (Round intermediate calculations to 4 decimal places.
B-1. Calculate the 95% confidence interval.
B-2. Can we conclude that the packaging machine is operating improperly?
A) Yes, since the confidence interval contains the target filling weight of 1.20.
B) Yes, since the confidence interval does not contain the target filling weight of 1.20.
C) No, since the confidence interval contains the target filling weight of 1.20.
D) No, since the confidence interval does not contain the target filling weight of 1.20.
C. How large a sample must we take if we want the margin of error to be at most 0.01 pound with 95% confidence?
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Answer:
A) The parameter of interest is the average filling weight of all cereal packages. ;
Point estimate = 1.22
Margin of Error = 0.0196
Confidence interval = (1.2004, 1.2396)
C) No, since the confidence interval contains the target filling weight of 1.20.
Step-by-step explanation:
A) The parameter of interest is the average filling weight of all cereal packages.
The point estimate = sample mean = 1.22
The margin of error with 95% confidence :
Zcritical * σ/sqrt(n)
Zcritical at 95% confidence = 1.96
Margin of Error = 1.96 * 0.06/sqrt(36)
Margin of Error : 1.96 * 0.01
Margin of Error = 0.0196
Confidence interval :
xbar ± margin of error
1.22 ± 0.0196
Lower boundary = 1.22 - 0.0196 = 1.2004
Upper boundary = 1.22 + 0.0196 = 1.2396
(1.2004, 1.2396)
C) No, since the confidence interval contains the target filling weight of 1.20.
Since, the internal contains 1.20, then we can conclude that it is filling properly.
VERY EASY, WILL GIVE 50 POINTS FOR CORRECT ANSWER ASAP AND WILL GIVE BRAINLIEST.
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Answer:
D
Step-by-step explanation:
Answer:D
Step-by-step explanation:
How many boys are there in an introductory Chinese course if 390 students are enrolled and there are seven boys to every three girls?
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Please help me figure out this math problem
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Cody has $1400 in a savings account that earns 4 % annually. How much will he have total after 3 years?
Use the formula = , where is the interest earned, is the principal (starting amount), is the interest rate expressed as a decimal, and is the time in years.
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4% Per Year
3 Years
4% x 3 = 12% Total
1400 x 12% = $168
$1568 Total
Answer:
$1,574.81Steps:
total after 1 year = (1400/100 × 4) + 1400 = (14 × 4) + 1400 = 56 + 1400 = $1456total after 2 years = (1456/100 × 4) + 1456 = (14.56 × 4) + 1456 = 58.24 + 1456 = $1,514.24total after 3 years = (1,514.24/100 × 4) + 1,514.24 = (15.14 × 4) + 1,514.24 = 60.57 + 1,514.24 = $1,574.81Find the mean of the table below
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Answer:
75/6 = 12.5
Step-by-step explanation:
Mean = The sum divided by the number of numbers.
Select all statements that are true.
An acute triangle can be equilateral
An obtuse triangle can have more than one obtuse angle.
An equilateral triangle is always equiangular.
A right triangle can be scalene.
An acute triangle can be sosceles
A scalene triangle can be equilateral
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The true statements are as follows
An acute triangle can be equilateral .An equilateral triangle is always equiangular. A right triangle can be scalene. An acute triangle can be isosceles.The following statements considered to be false:
An obtuse triangle can have more than one obtuse angle.A scalene triangle can be equilateral.Therefore, the above statements are considered true.
Learn more: brainly.com/question/17429689
baby yoda needs help
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Answer:
= 162
1782 divided by 11 equals
162 with a remainder of 0
Solution:
162
11[tex]\sqrt[n]{x}[/tex]1782
-11
------
68
66
--------
22
-22
Step-by-step explanation:
In FGH, what is the measure of H?
42°
43°
68°
69°
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Write a recursive formula and an explicit formula for the following arithmetic sequence.
5, 3, 1, -1, ...
A recursive formula is a1 = , an = |
(Simplify your answers. Use integers or decimals for any numbers in the expressions.)
An explicit formula is an =
(Simplify your answer. Use integers or decimals for any numbers in the expression.)
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Answer:
Step-by-step explanation:
Explain how solving -4x < 24 is different from 4x< 24.
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Step-by-step explanation:
since it's negative it'll give you a different answer:)
This had me confused i need big help!!!!
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Answer:
[tex]3\frac{7}{8}[/tex]
Step-by-step explanation:
Equation: 4 1/7 + 2 1/8 + x= 10 1/7
Convert into improper fractions:
29/7 + 17/8= 71/7
Add fractions
351/56+x= 71/7
Subtract on both sides
X= 31/8 or 3 7/8
1/6 and 2/6 have the same numerator
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Is this a question? and no they dont, the numerater is the number on top.
Answer: No, 1/6 and 2/6 do not have the same numerator.
Step-by-step explanation:
this is because the 1 in 1/6 is a numerater and the 6 is the denominator, this works the same for 2/6
The square of a whole number is between 400 and 500. The whole number must be between:
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Answer: 20-23
Step-by-step explanation: 200^2 is 400 so the number must be greater and 23^2 is greater than 500 so it must be lass than 23.
Please please help please
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Answer: 72 feet
Step-by-step explanation:
24 yards= 72 feet
Writing You ask 90 of your classmates if they like sports. There are 20 girls who like sports and 15 boys who like sports. There are 30 boys and 25 girls who do not like sports. Complete the two-way frequency table to show the results of the survey. What are the categories of the row variable? What are the categories of the column variable? Use pencil and paper. How does the table change if the row and column variables are switched?
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Answer:
20
Step-by-step explanation:
35-55?
im not sure sorry if im wrong
Simplify: 90 - 5 (19 + 17-1-26)
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Answer:
QUESTION:
Simplify: 90 - 5 (19 + 17-1-26)
ANSWER:
45
Step-by-step explanation:
I hope that this helps you out! :)
Have a great rest of your day/night!
Please thank me on my profile if this answer has helped you out.
Amanda had five and sixty seven hundredths pounds of peanuts in her pantry how is this number written in expanded notation
A(5 × 100) + (6 ×10 )+ (7 ×1 )
B (5 ×1) + (6×0.01)+(7×0.1)
c (5×1)+(6×0.1)+(7×0.01)
D (5×10)+(6×1)+(7×1)
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9514 1404 393
Answer:
C (5×1)+(6×0.1)+(7×0.01)
Step-by-step explanation:
The number being expanded is ...
5.67
This is written in expanded notation as a sum that totals 5.67. The only sum with that total is answer choice C.
__
The offered sum choices are ...
A 567
B 5.76
C 5.67
D 63
The area of a square mural is 144x2 - 72x + 9. What is the length of one side
of the mural?
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Answer:
-0.25 units
Step-by-step explanation:
144x^2 - 72x + 9 = 0
common factor: 9
16x^2 - 8x + 1 = 0
(4x + 1)^2 = 0
4x +1 = 0
4x = -1
x = -0.25 units
In a class of 23 students, 9 play an instrument and 7 play a sport. There are 3
students who play an instrument and also play a sport. What is the
probability that a student does not play an instrument given that they play a
sport?
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Answer:
4/7
Step-by-step explanation:
The probability that a student does not play an instrument given that they play a sport is 4/23.
What is probability?It is the chance of an event to occur from a total number of outcomes.
The formula for probability is given as:
Probability = Number of required events / Total number of outcomes.
We have,
Total number of students = 23
From the Venn diagram,
Number of students who play sport but not an instrument = 4
The probability that a student does not play an instrument given that they play a sport.
= 4/23
Thus,
The probability is 4/23.
Learn more about probability here:
https://brainly.com/question/14099682
#SPJ2
need help ASAP :}}}}}
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Answer:
The answer is 24
Step-by-step explanation:
(5x4) the first part 5x4 is 20 so then (1x4) the second part 1x4 is 4 so when you add 20 + 4 it will be 24.
Answer:
20 + 4
Step-by-step explanation:
Evaluate in the parenthesis first.
5 x 4 = 20
1 x 4 = 4
bring them down
20 + 4
Keep the plus sign.
what is the measurements of the circle?
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Answer:
what is the circle
○ YW 42
78+42+xw=180
xw=60
A research scientist wants to know how many times per hour a certain strand of bacteria reproduces. He wants to construct the 95% confidence interval with a maximum error of 0.19 reproductions per hour. Assuming that the mean is 6.4 reproductions and the standard deviation is known to be 1.8, what is the minimum sample size required for the estimate? Round your answer up to the next integer.
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Answer:
The minimum sample size required for the estimate is 345.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
The standard deviation is known to be 1.8.
This means that [tex]\sigma = 1.8[/tex]
What is the minimum sample size required for the estimate?
This is n for which M = 0.19. So
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]0.19 = 1.96\frac{1.8}{\sqrt{n}}[/tex]
[tex]0.19\sqrt{n} = 1.96*1.8[/tex]
[tex]\sqrt{n} = \frac{1.96*1.8}{0.19}[/tex]
[tex](\sqrt{n})^2 = (\frac{1.96*1.8}{0.19})^2[/tex]
[tex]n = 344.8[/tex]
Rounding up to the next integer:
The minimum sample size required for the estimate is 345.
A truck has 475 apples on it. It makes a delivery of 215 apples to the farmer's market. The rest of the apples on the truck are delivered to the grocery store. How many more apples were delivered to the grocery store than to the farmer's market?
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Answer:
45 more apples
Step-by-step explanation:
Well the total is 475
215 is already gone and the remaining goes to the store
475-215= 260
Groccery gets 260
Farmer gets 215
So to find how much more yuou jsut subtract the 2
260-215 which is 45
WITH STEPS PLEASEE..
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Answer:
16+3y=31
3y=31-16
3y=15
y=15/3
y=5
check.
16+3×5
=16+15
=31
Ben ran 2/3 of a mile and walked 5/12 of a mile. How much farther did Ben run than walk?
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Answer:
1.016 of a mile.
Step-by-step explanation:
Let V=(2,8) and W=(-1,-4)
which of the following is true?
check all that apply,
A.) The x-component of V is 2
B.) V= -2W
C.) V·W= -34
D.) V and W are perpendicular
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Answer:
B, and W are correct i think
Step-by-step explanation:
Answer:
A.) The x-component of V is 2
B.) V= -2W
C.) V·W= -34
Cynthia says that when you evaluate the expression (21 3/4 + 4 1/2) - 5 3/12 you get a whole number. What whole number do you get?
Answers
Answer: 21
Step-by-step explanation:
First, convert the mixed fractions to improper fractions.
(87/4 + 9/2) - 21/4
Next, calculate within the parentheses:
87/4 + 9/2
Next, change the denominator of 9/2 to 4. To do that, multiply the denominator of 9/2 to get 4 to match the denominator of the first fraction. 9/2 * 2/2 = 18/4.
87/4 + 18/4 = 105/4
Then, 105/4 - 21/4 = 84/4
Finally, divide 84 by 4 and you get 21.
A set of 10 cards consists of five red cards and five black cards. The cards are shuffled thoroughly, and I choose one at random, observe its color, and replace it in the set. The cards are thoroughly reshuffled, and I again choose a card at random, observe its color, and replace it in the set. This is done a total of four times. Let X be the number of red cards observed in these four trials. The mean of X is:
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Answer:
The mean of X is 2
Step-by-step explanation:
Given the data in the question;
set of 10 cards consist of 5 red card and 5 blacks
cards are chosen, replaced and shuffled four times;
number of independent trials n = 4
now, since its is replaced, the probability of getting a red card in each trial will be;
p = 5/10 = 0.5
let X rep the number of red cards observed in the four trials.
the random variable follows binomial distribution where
n = 4 and p = 0.5
so
E(X) = ∑xP( X = x )
E(X) = np
we substitute
E(X) = 4 × 0.5
E(X) = 2
Therefore, The mean of X is 2
Question 5 of 10 How does a low credit score affect a person who applies for a loan? O A. It causes banks to charge the person higher interest rates on the loan. OB. It makes it easier for the person to get a loan with a poor debt-to- income ratio. O C. It allows banks to give the person a loan without checking his or her tax records. OD. It makes banks more likely to give the person a large, long-term loan. SUBMIT
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It's def not c or d, I think it's a.