Answer:
The system of equations does not have a solution
Step-by-step explanation:
Whenever you get a number = a different number, that means there's no solution.
Three different methods for assembling a product were proposed by an industrial engineer. To investigate the number of units assembled correctly with each method, 30 employees were randomly selected and randomly assigned to the three proposed methods in such a way that each method was used by 10 workers. The number of units assembled correctly was recorded, and the analysis of variance procedure was applied to the resulting data set. The following results were obtained: SST = 10,800; SSTR = 4560.
Set up the ANOVA table for this problem (to 2 decimals, if necessary).
Source of Variation Sum of Squares Degrees of Freedom Mean Square F
Treatments
Error
Total
Use {Exercise 13.07} Three different methods for assem = .05 to test for any significant difference in the means for the three assembly methods.
Calculate the value of the test statistic (to 2 decimals).
The p-value is Selectless than .01between .01 and .025between .025 and .05between .05 and .10greater than .10Item 11
What is your conclusion?
SelectConclude not all means of the three assembly methods are equalCannot reject the assumption that the means of all three assembly methods are equal
Item 12are my calculations correct?
Given :
Number of methods, k = 3
Number of the observations, n = 30
Degrees of freedom Treatment = k - 1
= 3 - 1 = 2
Degrees of freedom for error = n - k
= 30 - 3 = 27
[tex]$SSTR = 4560, \ SST = 10800$[/tex]
[tex]$SSE = SST - SSTR$[/tex]
= 10800 - 4560
= 6240
[tex]$SSE_{treatment} = MS_{treatment } \times DF_{treatment}$[/tex]
[tex]$MS_{treatment} = \frac{4560}{2}=2280$[/tex]
[tex]$MS_{error}=\frac{SSE_{error}}{DF_{error}}$[/tex]
[tex]$=\frac{6240}{27}=231.1$[/tex]
[tex]$F=\frac{MS_{treatment}}{MS_{error}}$[/tex]
[tex]$=\frac{2280}{231.1}=9.865$[/tex]
Source variation Sum of square Degrees of freedom Mean square F
Treatment 4560 2 2280 9.8653
Error 6240 27 231.11111111
Total 10800
The critical value of F for the 0.05 sig level and df (227) is 3.354
Since the test stat > critical value of F, so we reject null hypothesis and state that there is a significant difference in the means of the three assembly methods.
A news report states that the 99% confidence interval for the mean number of daily calories consumed by participants in a medical study is (1850, 2000). Assume the population distribution for daily calories consumed is normally distributed and that the confidence interval was based on a simple random sample of 18 observations. Calculate the sample mean, the margin of error, and the sample standard deviation based on the stated confidence interval and the given sample size. Use the t distribution in any calculations and round non-integer results to 4 decimal places.
Answer:
The sample mean is of 1925 calories.
The margin of error is of 75 calories.
The sample standard deviation is of 109.7992 calories.
Step-by-step explanation:
Sample mean:
The sample mean is the mean value of the two bounds of the confidence interval. So
[tex]M = \frac{1850 + 2000}{2} = 1925[/tex]
The sample mean is of 1925 calories.
The margin of error
Difference between the bounds and the sample mean. So
2000 - 1925 = 1925 - 1850 = 75 calories.
The margin of error is of 75 calories.
Sample standard deviation:
Here, I am going to expand on the t-distribution.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 18 - 1 = 17
99% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 17 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.99}{2} = 0.995[/tex]. So we have T = 2.898
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}}[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
Since [tex]M = 75, T = 2.898, n = 18[/tex]
[tex]M = T\frac{s}{\sqrt{n}}[/tex]
[tex]75 = 2.898\frac{s}{\sqrt{18}}[/tex]
[tex]s = \frac{75\sqrt{18}}{2.898}[/tex]
[tex]s = 109.7992[/tex]
The sample standard deviation is of 109.7992 calories.
An elementary school is offering 3 language classes: one in Spanish, one inFrench, and one in German. The classes are open to any of the 100 students inthe school. There are 28 students in the Spanish class, 26 in the French class,and 16 in the German class. There are 12 students that are in both Spanish andFrench, 4 that are in both Spanish and German, and 6 that are in both Frenchand German. In addition, there are 2 students taking all 3 classes.(a) If a student is chosen randomly, what is the probability that he or she isnot in any of the language classes
Answer:
0.5 = 50% probability that he or she is not in any of the language classes.
Step-by-step explanation:
We treat the number of students in each class as Venn sets.
I am going to say that:
Set A: Spanish class
Set B: French class
Set C: German class
We start building these sets from the intersection of the three.
In addition, there are 2 students taking all 3 classes.
This means that:
[tex](A \cap B \cap C) = 2[/tex]
6 that are in both French and German
This means that:
[tex](B \cap C) + (A \cap B \cap C) = 6[/tex]
So
[tex](B \cap C) = 4[/tex]
4 French and German, but not Spanish.
4 that are in both Spanish and German
This means that:
[tex](A \cap C) + (A \cap B \cap C) = 4[/tex]
So
[tex](A \cap C) = 2[/tex]
2 Spanish and German, but not French
12 students that are in both Spanish and French
This means that:
[tex](A \cap B) + (A \cap B \cap C) = 12[/tex]
So
[tex](A \cap B) = 10[/tex]
10 Spanish and French, but not German
16 in the German class.
This means that:
[tex](C - B - A) + (A \cap C) + (B \cap C) + (A \cap B \cap C) = 16[/tex]
[tex](C - B - A) + 2 + 4 + 2 = 16[/tex]
[tex](C - B - A) = 8[/tex]
8 in only German.
26 in the French class
[tex](B - C - A) + (A \cap B) + (B \cap C) + (A \cap B \cap C) = 26[/tex]
[tex](B - C - A) + 10 + 4 + 2 = 26[/tex]
[tex](B - C - A) = 10[/tex]
10 only French
28 students in the Spanish class
[tex](A - B - C) + (A \cap B) + (A \cap C) + (A \cap B \cap C) = 16[/tex]
[tex](A - B - C) + 10 + 2 + 2 = 28[/tex]
[tex](A - B - C) = 14[/tex]
14 only Spanish
At least one of them:
The sum of all the above values. So
[tex](A \cup B \cup B) = 14 + 10 + 8 + 10 + 2 + 4 + 2 = 50[/tex]
None of them:
100 total students, so:
[tex]100 - (A \cup B \cup B) = 100 - 50 = 50[/tex]
(a) If a student is chosen randomly, what is the probability that he or she is not in any of the language classes?
50 out of 100. So
50/100 = 0.5 = 50% probability that he or she is not in any of the language classes.
Type the answer in the box.
d = 6 y = 10 g = 8
Step-by-step explanation:
[tex](6) + \frac{1}{2} (10 + 8)[/tex]
[tex]6 + \frac{1}{2} (18)[/tex]
[tex]6 + \frac{18}{2} [/tex]
[tex]6 + 9[/tex]
[tex]15[/tex]
Answer:
15
Step-by-step explanation:
Find each product mentally, using the distributive property, 4x51/8. (giving brainliest)
Answer:
25.5
Step-by-step explanation:
4 x 51 / 8
204/8
25.5
Answer:
Step-by-step explanation:
4×15/8 = 4×(1+⅞) = 4×1 + 4×⅞ = 4 + 7/2 = 4 + 3.5 = 7.5
The average daily balance of a credit card for the month of November was $700, and the unpaid balance at the end of the month was $1,400. If the monthly interest rate is 1.3% of the average daily balance, what is the total balance on the next billing date December 1? Round your answer to the nearest cent.
Answer:
This answer is on quizlet
Step-by-step explanation:
Answer:3255.20
Step-by-step explanation:
First, calculate the interest using the APR in decimal form (divided by 12) and the average daily balance.
Interest =0.27612×$2,400=$55.20
Then add the interest to the unpaid balance.
Total Balance =$3,200+$55.20=$3,255.20
Answer this correctly I’ll give brainalist + 10 points
There are blue, red and yellow counters in a bag in the ratio 3:2:1. There are 6 more blue counters than red counters. How many counters are there in total?
Answer:
12
Step-by-step explanation:
im pretty sure its 12 if not im sorry
can somebody help me?
Answer:
15x + 7
Step-by-step explanation:
i set this up
8x + 16 + 7x -9
the next step is to combine like terms
8x + 7x = 15x
16 - 9 = 7
15x = 7
15x + 7
There are three numbers for the combination to the store's safe. The first number is 17. The two numbers can be multiplied together to give a product of 28. What are all of the possibilities for the other two numbers? IT IS MULTIPLICATION BTW
Answer:
1 28
2 14
4 7
Step-by-step explanation:
7 4
14 7
28 1
...........
7x10+2x1+6x1/10+3x1/1000
Answer:72.603
Step-by-step :
70 + 2 + 6 ÷ 10 + 3 ÷ 1000
=72.603
what are prime factors
Answer:
Prime Factors is a factor of a given integer which is also a prime number.
Lainey brought a set of 22 markers for $6. What is the cost of 1 marker? Round answers to the nearest hundredths where necessary.
in the following figure, the value of x is ____
Answer:
it should be 20 i hope it helps but im nt 100% sure
Step-by-step explanation:
Helppppppppppppppppppppp
help do not scam me ok I will give 40 points
Answer:
C. Preform calculations on my own and compare them to Roberto’s.
Step-by-step explanation:
His calculations do not match the line plot. He doesn’t account for every mark on the plot.
Tina's bakery, sells cinnamon, banana, apple and blueberry muffins. Each day the bakery bakes 63 apple muffins, the apple muffins represent 42℅ of all the muffins baked each day, how many muffins are baked each day.
Ok. So if 42 % is apple, then 63 = 42%.
You can divide it by 42 to get 1%
63 / 42 = 1.5
Than times by 100 to get 100%
100% = 150.
150 Muffins per day
Help plz....................
Answer:
x = 136°
y = 44°
Step-by-step explanation:
x + 44° = 180° (Adjacent angles of a parallelogram)
x = 180° - 44°
x = 136°
y = 44° (Opposite angles of a parallelogram)
5x + 4 = 3x + 10 how would you solve for the value of x? How would you prove your solution is correct? How would you prove another value is incorrect? Explain in as much detail as possible.
5x+3=3x+10 the first thing we're going to do it to subtract 3 from both sides which would look like this
5x+3-3x=10 (the minus because it changed place)
from 5x and 3x we get 2x so the next step is 2x=10-3 which is 7
so now we have
2x=7
x=7/2
Answer:
x=3
Step-by-step explanation:
5x+4 = 3x+10
2x = 6
therefore, x = 3
Verification:
5 * 3 + 4 = 3 * 3 + 10
15+4 = 9+10
19=19
Therefore, LHS= RHS
Hence Proved!
Rashads teacher buys paperback books for her classroom library. Each book costs $6, and she spends a total of $150. Which equation models the number of books, n, she buys? A. 6n=150 B. n/6=150 C.150-n=6 D. 6•150=n
Answer:
A
Step-by-step explanation:
6n=150
I will mark someone brainliest!
Answer:
2nd option is the correct answer
Step-by-step explanation:
Oscillating powerful magnets within wire coils.
Answer:
Step-by-step explanation:
I think it's got to be coal because the power plants always have like smoke and d is the only one that burns something
2 1/4 divided by 6
PLS I NEED HELP ASAP
Answer:
.375 which is 3/8
Step-by-step explanation: If you meant the mixed fraction 2 1/4 divided by 6 then that is the answer! 2 1/4 =2.25 and divide it by 6 and you get 0.375
Answer:
3/8
Step-by-step explanation:
convert mixed numbers to improper fractions
21/4 = 9/4
convert element to fraction
6=6/1
9/4 divided by 6/1
apply the fraction rule (hope you're familiar)
9/4 * 1/6
cross- cancel common factor 3
3*1 = 3
4*2 = 8
multiply the numbers
3/ 4*2
3/8
LAST QUESTION I NEED! Should be easy (I don’t think the answer is 4 might be wrong if given an explanation)
Answer:
2
Step-by-step explanation:
because 2 square is 4 then that was needed for the other squares but this one is doubled
an electronics store is having a 20%-off on all cell phones. the original price of a cell phone is x dollars. which expression represents the sale price of a cell phone?
a. x - 0.2
b. x - 0.8
c. 0.2*x
d. 0.8*x
Answer: x*.2
Step-by-step explanation:
When you are trying to find the sale price you want to multiply the origanal price of the cellphone to the percentage you are getting off. Hope this helped!
When a famous artist was just beginning her career, she sold a painting for $250. Her artwork has been increasing in value by 15% every year as her popularity has grown. If this rate continues, how much will the painting be worth in 10 years? Round your answer to the hundredths place if needed.
Answer:625 dollars
Step-by-step explanation:
Consider the function graphed below.
What is the average rate of change of the function over the interval [1, 3] ?
A.36
B. 48
C.72
D.96
Answer:
A. 96
Step-by-step explanation:
By using slope formula we got that average rate of change of the function over the interval [1, 3] is 48 .
What is the average rate of change?the rate at which one variable of a function changes in relationship to another variable is called average rate of change.
Here we can see in graph that
when x =1 y=12
and when x= 3 ,y=108
Now we know that rate of change is same as slope of straight line passing through that points
So average rate of change can be calculated as
[tex]=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
[tex]=\frac{108-12}{3-1}\\\\[/tex]
[tex]\frac{96}{2}[/tex]
=48
By using slope formula we got that average rate of change of the function over the interval [1, 3] is 48 .
To learn more about rate of change visit :https://brainly.com/question/8728504
Drag each tile to the correct box. Ross has a box of movies in four genres: romance, comedy, drama, and science fiction. The table gives the probability of picking a movie of each genre. Movie Genre Probability romance 0.38 comedy 0.1 science fiction 0.22 drama 0.3 As part of an experiment, Ross picks a movie at random and then replaces it. He repeats the process 200 times. Place the following events in order from the event with the lowest predicted frequency to the event with the highest predicted frequency. picking a romantic movie picking a comedy movie picking a science fiction movie picking a dramatic movie , , ,
Answer:
0.1
0.3
0.22
0.38
Step-by-step explanation:
Answer:
1ST BOX Picking a Comedy movie
2ND BOX picking a science fiction movie
3RD BOX picking a dramatic movie
LAST BOX Picking a romantic movie
Step-by-step explanation:
I took the test
. 16 is 20% of what number? Show your work and/or explain your reasoning.
Answer:
0.8
Step-by-step explanation:
.16/.2 = 0.8
check
0.8 x .2 = 0.16
PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA 40 POINTS* DONT SKIP :(( .!
Answer:
B) one solutionStep-by-step explanation:
to understand thisyou need to know about:linear equationPEMDAStips and formulas:[tex]\sf\text{a system of linear equation has only one solution if $\frac{a_1}{a_2}\neq \frac{b_1}{b_2}$}[/tex]given:[tex] \begin{cases}2x - 4y = - 1 \\ 8x - 11y = - 19 \end{cases}[/tex]let's solve:[tex] \sf substitute \: the \: value \: of \: a \: b : \\ \frac{2}{8} \ne \frac{ - 4}{ - 11} \\ [/tex][tex]\text{$\therefore$ the system of linear equation has only one solution}[/tex]
An investor has an account with stock from two different companies. Last year, her stock in Company A was worth $1300 and her stock in Company B was worth $4820. The stock in Company A has decreased 22% since last year and the stock in Company B has decreased 25%. What was the total percentage decrease in the investor's stock account? Round your answer to the nearest tenth (if necessary).
Answer:
24.4%
Step-by-step explanation: