Need help with statistics question please.
25. Filling Bottles A certain brand of apple juice is supposed to have 64 ounces of juice. Because the punishment for under filling bottles is severe, the target mean amount of juice is 64.05 ounces. However, the filling machine is not precise, and the exact amount of juice varies from bottle to bottle. The quality-control manager wishes to verify that the mean amount of juice in each bottle is 64.05 ounces so that she can be sure that the machine is not over- or under filling. She randomly samples 22 bottles of juice and measures the content and obtains the following data:
64.05 64.05 64.03 63.97 63.95 64.02 64.01 63.99 64.00 64.01 64.06 63.94 63.98 64.05 63.95 64.01 64.08 64.01 63.9 63.97 64.10 63.98
(a) Because the sample size is small, she must verify that the amount of juice is normally distributed and the sample does not contain any outliers. The normal probability plot and box plot are shown. Are the conditions for testing the hypothesis satisfied?
(b) Should the assembly line be shut down so that the machine can be re calibrated? Assume =0.06 ounces and use a 0.01 level of significance.
(c) Explain why a level of significance = 0.01 of might be more reasonable than 0.1 [Hint: Consider the consequences of incorrectly rejecting the null hypothesis.]
Answer: Hmm this question was very hard.
Step-by-step explanation:
Dan and Paul share some money in the ratio 9:5.
Dan decides this is unfair so he gives Paul £32 of his share to make the ratio 1:1.
How much did Paul originally have?
Answer:
Paul had £40 originally.
Step-by-step explanation:
Given
Let d be the money Dan has and p be the money Paul has
Then according to the given situation,
[tex]\frac{d}{p} = \frac{9}{5}\\d = \frac{9p}{5}\ \ \ Equation\ 1[/tex]
Now from the statement, "Dan decides this is unfair so he gives Paul £32 of his share to make the ratio 1:1"
[tex]\frac{d-32}{p} = 1[/tex] Eqn 2
From 2
[tex]d - 32 = p\\[/tex]
Putting d = 9p/5
[tex]\frac{9p}{5} - 32 = p\\9p - 160 = 5p\\9p-5p = 160\\4p = 160\\\frac{4p}{4} = \frac{160}{4}\\p = 40[/tex]
Checking
[tex]d = \frac{9(40)}{5} = \frac{360}{5} = 72\\\frac{d}{p} = \frac{72}{40} = \frac{9}{5}[/tex]
Hence,
Paul had £40 originally.
The altitude of a triangle is increasing at a rate of 1 cm/min while the area of the triangle is increasing at a rate of 2 cm^2/min. At what rate is the base of the triangle changing when the altitude is 10 cm and the area is 120 cm^2?
Answer:
The base is decreasing at 2 cm/min.
Step-by-step explanation:
The area (A) of a triangle is given by:
[tex] A = \frac{1}{2}bh [/tex] (1)
Where:
b: is the base
h: is the altitude = 10 cm
If we take the derivative of equation (1) as a function of time we have:
[tex] \frac{dA}{dt} = \frac{1}{2}(\frac{db}{dt}h + \frac{dh}{dt}b) [/tex]
We can find the base by solving equation (1) for b:
[tex] b = \frac{2A}{h} = \frac{2*120 cm^{2}}{10 cm} = 24 cm [/tex]
Now, having that dh/dt = 1 cm/min, dA/dt = 2 cm²/min we can find db/dt:
[tex] 2 cm^{2}/min = \frac{1}{2}(\frac{db}{dt}*10 cm + 1 cm/min*24 cm) [/tex]
[tex]\frac{db}{dt} = \frac{2*2 cm^{2}/min - 1 cm/min*24 cm}{10 cm} = -2 cm/min[/tex]
Therefore, the base is decreasing at 2 cm/min.
I hope it helps you!
helppppp please I will give brainliest
PLEAS HELP FAST!!!!!!!!!!!!!!
Answer: Point D
Step-by-step explanation: Point D is at 3 and 3/4.
I think the answer is point D
how many terms are there in the expression 2x - 3y + 8?
Answer:
Three. 2x, -3y, and 8.
Step-by-step explanation:
For every constant or variable, there is a term.
In this expression, there are two variables (x and y) and there is a constant (8).
Hence, there are three terms.
Hope this helped!
To finish a certain job in 8 days, 6 workers are needed. If it is required to finish the same job in 2 days advance, how many workers have to work? *
8 points
Answer: 96 workers
Step-by-step explanation:
First you multiply 8 and 6 then by 2.
8 x 6= 48
48 x 2= 96
96 workers to help the business
the charge for a 7 min call is Rs.42.
find the rate per min
42 dollars/7 minutes
÷ by 7 on both
6 dollars/1 minute
hope this helped
please make this brainliest
FOR 20 POINTS!!!!! Luis has $12 and wants to buy 6.6 pounds of apples. Apples cost $1.80 per pound. Luis rounded each value and estimated that he does not have enough money to cover the cost of the apples before sales tax is applied. Which best explains how his estimate relates to the actual product? Because each value rounds up, his estimate is higher than the actual product. He might have enough money to buy the apples. Because each value rounds up, his estimate is higher than the actual product. He does not have enough money to buy the apples. Because each value rounds up, his estimate is lower than the actual product. He does not have enough money to buy the apples. Because each value rounds up, his estimate is lower than the actual product. He might have enough money to buy the apples.
Answer: Hope this helps.
Because each value rounds up, his estimate is higher than the actual product. He might have enough money to buy the apples. So A.
Step-by-step explanation:
We don't actually know what it was that Luis was estimating. Assuming he was estimating the cost of the apples he wants to buy, rounding up both the price and quantity will give an estimate of $2/lb × 7 lb = $14, which is more than he has to spend.
Luis could refine his estimate by realizing the actual price is 10% less than the vaue he used, and the actual quantity is not quite 6% less than the value he used. The amount Luis has is about 14% less than the cost he estimated, so considering estimation errors, he probabaly has enough money.
The best choice among the answers is the one shown above.
your class is having a car wash for a fundraiser. it costs $27.95 for supplies. your class charges $5 per car. write an expression for the profit of the car. find the profit if the class washes 34 cars.
Answer:
5x-27.95=profit
5(34)-27.95
170-27.95
$142.05
*Find 6 5/8% of $1,480.90. Round to the nearest cent.
9514 1404 393
Answer:
$98.11
Step-by-step explanation:
If your calculator doesn't work with mixed numbers, you must first convert 6 5/8% to a decimal fraction.
6 5/8 = (6·8+5)/8 = 53/8 = 6.625
6 5/8% = 0.01×6.625 = 0.06625
Then the desired amount is ...
0.06625 × $1480.90 = $98.109625 ≈ $98.11
6 5/8% of $1,480.90 is $98.11.
Jan raised $120.75 at the car wash. If each wash costs $5.75, how many cars did she wash?
Answer:
She washed 21 cars
Step-by-step explanation:
Answer:
Jan washed 21 cars
Step-by-step explanation:
120.75 / (Divided) 5.75=21
If you were to times 5.75 by 21 you will get the amount she rasied at the car wash
The figure shown is a parallelogram.
What are the values of x and y?
Answer:
x=6 and y= 15 I think im correct don't take my word for it
What is the measure of 1 Explain
Answer:
what measure one
Step-by-step explanation:
What are u talking bout
There is no picture or anything
Answer:
I wish I could help.
Step-by-step explanation:
There is no picture or a complex explanation.
How many distinct rearrangements of the letters in "tweedledee" are there?
Answer:
weed ,led ,we, tee , tweedle
Ava was looking for treasure.
She looked on a sandy beach. The
length of the beachy spot was 2 1/4
feet by 1 1/2 feet. What was the
area of the beachy spot?
Please find the x, thank you!
Answer:
X=8
Step-by-step explanation:
Hope this helps
The larger of two numbers is four more than three times the smaller. Two times the smaller, increased by five, results in the larger. What are both numbers?
Answer:
Determine the area of the archway with a semicircle top arch and two rectangular pillars.
The lower supports are
✔ congruent rectangles
and the area of the two supports is
✔ 24
square meters.
The upper arch can be decomposed as one semicircle with radius
✔ 6
meters minus a semicircle with radius 3 meters.
The area of the archway is (
✔ 13.5
π + 24) square meters.
Step-by-step explanation:
Cuánto le falta a 3/5para llegar a 9/10
Answer:
3/10
Step-by-step explanation:
3/5 se puede convertir en 6/10
(3x2)/(5x2).
9/10 - 6/10 = 3/10
le falta 3/10 para llegar a 9/10.
36/ BLANK= 12/ BLANK FILL IN THE BLANKS PLEASE
Answer:
All real numbers
Step-by-step explanation:
36/something1 = 12/something2
36/12=3
to get from something1 to something2 you divide by 3
36/3x=12/x
Cross multiply
36x=12*3x
36x=36x
x=x
Since each side of the equation is equal, the solution is all real numbers
I hope this helps :)
(07.03)
What is the value of y in the equation 2(4y - 1) = 6? (4 points)
0
Ob
1
Ос
6
Od
8
Answer:the answer is 1
Step-by-step explanation:
2(4y-1)=6
Divid by 2 on both sides
4y-1=3
Add 1 to both sides
4y=4
Divid both sides by 4
Y=0
CAN SOMEONE PLZ HELP MEI BEG U ILL DO ANYTHING JUST HELP ME!!!!
Answer:
you can draw < > ≤ ≥ as duck mouths or something.
and the symbol ≠ can be inputed as a wire or dog leash, so if I had to draw this, draw a park where there is a lake on the right side then have a bench where an old man or a little child is feeding ducks with little bits of breab with its beaks opened then have like, a girl jogging with her dog and put ≠ as a leash for the dog and that's all I got. If you want more add street lights hanging above like triangles.
how do i solve this help
Answer is : A .. Hope it helped
Estimate 296/26 by first rounding each number so that it has only 1 nonzero digit
Answer:
10
Step-by-step explanation:
296/26 = 11.3846153846
Now round it to the nearest tenth = 11.40
round to the nearest whole number = 11
To the nearest zero digit = 10
Answer:
Step-by-step explanation:
296 .Here ten's place is 9 >= 5 . So, add 1 to hundred's place
296 = 300
26. Here units place is 6 >= 5 . So, add 1 to ten's place
26 = 30
[tex]\frac{296}{26}=\frac{300}{30}=10[/tex]
A random sample of 1028 adults in a certain large country was asked "Do you pretty much think televisions are a necessity or a luxury you could do without?" Of the 1028 adults surveyed, 521 indicated that televisions are a luxury they could do without.
Answer:
lol
Step-by-step explanation:
what is the question
write a poem about linear functions.
Answer:
what are linar functions
Step-by-step explanation:
Suppose that E and f are two events and that P(E and F)=0.3 and P(E)=0.5. What is P(F/E)?
Answer:
[tex]P(F/E) = 0.6[/tex]
Step-by-step explanation:
If we are given two dependent events [tex]A[/tex] and [tex]B[/tex] such that their chances of occurrence or the probabilities of the events are: [tex]P(A)[/tex] and [tex]P(B)[/tex].
Then the conditional probability that the event [tex]B[/tex] will occur given that [tex]A[/tex] has already occurred is given by the following formula:
[tex]P(B/A) = \dfrac{P(A \cap B)}{P(A)}[/tex]
Here the two events given are [tex]E[/tex] and [tex]F[/tex].
[tex]P(E\ and\ F)\ or\ P(E\cup F) = 0.3[/tex]
and [tex]P(E) = 0.5[/tex]
As per the above formula that we have already discussed, the formula can be written as:
[tex]P(F/E) = \dfrac{P(E \cap F)}{P(E)}\\\Rightarrow P(F/E) = \dfrac{0.3}{0.5}\\\Rightarrow P(F/E) = \dfrac{3}{5}\\\Rightarrow \bold{P(F/E) = 0.6}[/tex]
If a line has a rise of 2 and a run of 2, what is its slope
Answer:
It's a positive slope it's not going down it's going up every time you go up to you go over to making it a positive slope
Step-by-step explanation:
ASAP HELP PLEASE ITS IS VERY NEEDED
Answer:
D. no solution because the other answers if you plug them in dont work
Find the coordinates of the reflection: B (7,-1) is reflected over the x-axis B’=?
Answer:
(7;1)
Step-by-step explanation:
The abscissa of B' is going to be the same as abscissa of B , becuse the points are simmetrical over axis x.
However the ordinate of the point B' will have the opposite sign as ardinate B. However the module of ordinate B' is going to be the same as module of orrdinate B.