The R.D. Wilson Company makes a soft drink dispensing machine that allows customers to get soft drinks from the machine in a cup with ice. When the machine is running properly, the average number of fluid ounces in the cup should be 14. Periodically the machines need to be tested to make sure that they have not gone out of adjustment. To do this, six cups are filled by the machine and a technician carefully measures the volume in each cup. In one such test, the following data were observed:_______.
14.25 13.7 14.02
14.13 13.99 14.0
Based on these sample data,which of the following is true if the significance level is .05?
A) No conclusion can be reached about the status of the machine based on a sample size of only six cups.
B) The null hypothesis cannot be rejected since the test statistic is approximately t = .29,which is not in the rejection region.
C) The null hypothesis can be rejected since the sample mean is greater than 14.
D) The null can be rejected because the majority of the sample values exceed 14.
Answer:
B) The null hypothesis cannot be rejected since the test statistic is approximately t = .29,which is not in the rejection region.
Step-by-step explanation:
to calculate mean
14.25+ 13.7 +14.02 +14.13+ 13.99 +14.04
= 84.13/6
= 14.02167
average = 14
s = 0.1837
test statistics t:
(bar(x)-mu)/(s/√n)
= 14.02167-14/0.1837/√6
0.02167/0.1837/2.4495
= 0.02167/0.07499
=0.28897
this is approximately 0.29
therefore B) The null hypothesis cannot be rejected since the test statistic is approximately t = .29,which is not in the rejection region.
4. Una fuerza le proporciona a la masa de 8 Kg. una aceleración de 2.2 m/s2. Calcular la magnitud de dicha fuerza en Newton.
Answer:
Talk in English I don't understand your language.
Step-by-step explanation:
So Talk in
English
OK
Bro.
Please help, very confused
Answer:
1.
-3x + 8y = -5
6x + 2y = -8
Set the equations to a common variable.
-3x + 8y = -5 → 8y = 3x - 5 → y = 3/8x - 5/8
6x + 2y = -8 → 2y = -6x - 8 → y = -3x - 4
Set the equations equal to each other.
3/8x - 5/8 = -3x - 4
Combine like terms.
3x + 3/8x = -4 + 5/8
3.375x = -3.375
Divide by 3.375
x = -1
Plug x back in to find y.
-3x + 8y = -5
-3(-1) + 8y = -5
3 + 8y = -5
8y = -8
y = -1
answer: (-1, -1)
2.
3x + 2y = -16
-3x - 8y = 46
Set the equations to a common variable.
3x + 2y = -16 → 2y = -3x - 16 → y = -3/2x - 8
-3x - 8y = 46 → -8y = 3x + 46 → y = -3/8x - 23/4
Set the equations equal to each other.
-3/2x - 8 = -3/8x - 23/4
Combine like terms.
-9/8x = 9/4
or
-1.125x = 2.25
Divide by -1.125
x = -2
Plug x back in to find y.
3(-2) + 2y = -16
-6 + 2y = -16
2y = -10
y = -5
answer: (-2, -5)
The door to my classroom is 84 inches tall. How many blocks would I need to stack to the height of the door, If each block is 2 inches tall?
Answer:
42 blocks
Step-by-step explanation:
If each block is 2 inches, and the height of the door is 84 inches, you need to divide the height by the block size. Once you divide 84 by 2, you should get 42 blocks as your answer.
To reduce laboratory costs, water samples from public swimming pools are combined for one test for the presence of bacteria. Further testing is done only if the combined sample tests positive. Based on past results, there is a probability of finding bacteria in a public swimming area. Find the probability that a combined sample from public swimming areas will reveal the presence of bacteria. Is the probability low enough so that further testing of the individual samples is rarely necessary?
Complete Question
The complete question is shown on the first uploaded image
Answer:
The probability is [tex]P(X \ge 1 ) = 0.003996[/tex]
Given that the probability is less than 0.05 , it means that it is low enough so that further testing of the individual samples is rarely necessary
Step-by-step explanation:
From the question we are told that
The probability of finding bacteria in a public swimming area is p = 0.002
Generally the probability of not finding bacteria in a public swimming area is mathematically represented as
[tex]q = 1- p[/tex]
=> [tex]q = 1- 0.002[/tex]
=> [tex]q =0.998[/tex]
Generally the the probability that a combined sample from public swimming areas will reveal the presence of bacteria is equivalent to the probability that at least one of the sample will reveal the presence of bacteria and this is mathematically represented as
[tex]P(X \ge 1 ) = 1 - P(X')[/tex]
Here [tex]P(X')[/tex] means that none of the 2 sample have bacteria which is mathematically represented as
[tex]P(X') = q^2[/tex]
Here 2 signifies that we are considering two samples
So
[tex]P(X') = 0.998^2[/tex]
[tex]P(X') = 0.996004[/tex]
So
[tex]P(X \ge 1 ) = 1 - 0.996004[/tex]
=> [tex]P(X \ge 1 ) = 0.003996[/tex]
What’s the total distance he travels
Answer:
10
Step-by-step explanation:
find the length of each leg, being 6 and 8. Then use the pythagorean theorem a^2+b^2=c^2
6^2+8^2=c^2
36+64=c^2
100=c^2
c=10
hope this helped... if it did, please let me know by marking me the brainliest:))
Write a valid conclusion using the Law of Detachment or Law of Syllogism given the statements below.
1. If you drive above 55mph you will get a ticket
2. Kate is driving 60 mph.
Answer:
Step-by-step explanation:
Ok so we are going to start with the first statement. If you drive above 55mph you will get a ticket. Lets say that is P. The second statement. Kate drives 60mph. That is our Q.
P>Q
Q>R
P>R
R is our conclusion.
So our conclusion is indeed. Kate will get a ticket.
“Jessica has $300 to buy supplies for her painting.
The canvas is $50 the set of brushes is $32, and every tube of paint is $15.
She wants to buy as many tubes of paint as possible.
A) write an inequality for the scenario
B) what is the maximum number of tubes of paint she can buy?”
Answer:
24
Step-by-step explanation:
50+32=82
300-82=218
218÷15=24
PLEASE HELP 20 points + brainliest
Simplify: -3 1 over 2 - (-12 1 over 4)
Answer:
4) 8 3/4
Step-by-step explanation:
I looked it up on m a t h w a y. c o m /Algebra
Help meeee pleaseeeeee
Answer: A.) y=-2/3x-3
an interger that is less than -2 and greater than -3.5
Answer:
Literslly anything less then -2 and greater then -3.5
Step-by-step explanation:
-2.1
-2.2
-2.3
-2.4
-2.5
-2.6
-2.7
-2.8
-2.9
-3.0
-3.1
-3.2
-3.3
-3.4
A department store purchases logo shirts at a cost of $10 per shirt. They mark up the price 100% and put them on
the sales floor. Every month that a shirt doesn't sell, the store reduces the selling price by 25%. After three monthly
markdowns, the final shirt from the shipment is sold. There is a 5% sales tax on the selling price. What is the total
cost to the customer?
Answer:
8.86
Step-by-step explanation:
The final cost to the customer would be:
$8.86
Explanation:
We can find this answer by taking each step individually.
The first step is to determine the cost after the 100% markup.
To get this, we would multiply the original cost by 2.
10*2 = 20.
Now that we have that new cost, we would find the cost after each markdown.
We would get this by taking the cost from the previous month and multiplying by 0.75 (75%), which is how much is left after each markdown of 25%.
First ---> 20*.75 = 15.
Second---> 15*.75 = 11.25.
Third ---> 11.25*.75 = 8.43.
Now that we have the cost of each shirt, we have to find the price along with sales tax.
Since the sales tax is 5%, we need to multiply by the whole cost 100% plus the addition 5% or (1.05).
8.43*1.05= 8.86
15.03 cm, 14.92 cm, and 15.30 cm. The actual length is 15cm. Which of the following would be most accurate?
Answer:
15.03 cm.
Step-by-step explanation:
Circle YES or NO The terms -5x and 5x are like terms. PLEASE I NEED IT REALLY QUICK
Answer:
YES
Step-by-step explanation:
Answer:
Yes
Step-by-step explanation:
Because -5x and 5x both have the same things in it (a full base number and variable), they are like terms. It doesn't matter that one is a negative and the other is not. It's just matters that everything else is the same.
I hope this helps!
31,900 divided by 44
Answer:
725
Step-by-step explanation:
use a CALCULATOR -_-
Answer:
725
Step-by-step explanation:
-4x – 7 – 3x + 4 = 25
X = ??? :)
What are the answers for the 4 questions below. Please answer all 4 questions. I really need the help thank you.
Answer:
Below
Step-by-step explanation:
18. DHJ
19. AJB
20. 75
21. 130
what is 48,020,000 expressed in scientific notation?
250 people went to a “couples only” party at 9pm. 70 people left at 11pm, how many couples stayed at the party?
Answer:
80
Step-by-step explanation:
Given that (-8,-6) is on the graph of f(x), find
the corresponding point for the function
f(x) - 3
Answer:-8,-9
Step-by-step explanation:
Question 2 (1 point)
What is 0.000003012 written in scientific notation?
Answer:
3.012 × 10^ − 6
Step-by-step explanation:
hope this helps
By what number should I multiply 1 1/4 to obtain 3/4
There are 52 contacts in your phone. The only family members' numbers you have are your dad's, mom's, and brother's. What are the odds of selecting a number in your phone that is not your family? Write your answer as 1:2 which is reduced as much as possible.
Answer:
49:52
Step-by-step explanation:
Given that:
Total number of contacts on phone = 52
Family members in phone book : dad, mom, brother
Total number of family members = 3
Hence, non family members = 52 - 3 = 49
Number of family members to total phone contact
Selecting a contact that is not a family member :
49 : 52
Answer:
the answer is 49:3 :)
Step-by-step explanation:
QUESTION 8
Solve the problem that involves probabilities with events that are not mutually exclusive.
Consider a political discussion group consisting of 8 Democrats, 3 Republicans, and 7 Independents. Suppose that two
group members are randomly selected, in succession, to attend a political convention. Find the probability of selecting
an Independent and then a Democrat.
14/81, 25/153, 7/306/ or 4/153?
Answer:
Option (2).
Step-by-step explanation:
Number of Democrats in a political discussion = 8
Number of Republicans = 3
Number of independents = 7
Total members in the discussion = (8 + 3 + 7)
= 18
Probability of selecting an independent = [tex]\frac{7}{18}[/tex]
Remaining members after selecting one independent = 17
Probability of selecting a Democrat = [tex]\frac{8}{17}[/tex]
Probability of selecting a Republican then a Democrat = [tex]\frac{7}{18}\times \frac{8}{17}[/tex]
= [tex]\frac{28}{153}[/tex]
Therefore, Option (2) will be the answer.
What is 6/20 of a dollar
BRAINLIEST IS RIGHT
Answer: 30 cents
Step-by-step explanation:
1/20 of a dollar is 5 cents
Then we multiply by the numerator (6) to get our answer....
5x6= 30
Hoped this helps! :)
3)h-6)=2(5-2h) what’s h
Answer:
h=4
Step-by-step explanation:
3h-18=10-4h
-18=10-7h
-28=-7h
-h=-7
h=7
Christian's furniture store buys a desk and chair at a wholesale price of $320.00 If the markup rate at Christian's store
is 40%, what is the total markup in dollars.
$128
Step-by-step explanation:
you can literally just look it up ya know?
If = and x > 0 what is the value of x ?
O valor de x é 45º
Explicação:Confia no pai
Plz answer this questoin! will give brainliest!
Answer:
25,
8:5
4:3
Step-by-step explanation:
you have to model it as a system of equations.
first, we know there are a total of 65 children, boys and girls. so
[tex]65 = b + g[/tex]
we also know there are 15 more boys than girls so
[tex]b = g + 15[/tex]
now, we can plug the second equation into the first to get
[tex]65 = (g+15)+g[/tex]
so
[tex]2g = 50, g = 25[/tex]
if g = 25, b must = 40, because it is g+15.
the ratio will be 40 boys to 25 girls. 40:25 or 8:5 if you simplify.
if there are 5 more girls, g = 25+5 = 30, so the ratio is 40:30 or 4:3.
Answer:
A) 25
B) 40 : 25
C) 40 : 30
Step-by-step explanation:
I'm not positive on this but I think it might be right
-3/5x=6
The value for x?
Answer: x = -10
Step-by-step explanation: Times both sides by 5 then divide by -3.