Answer:
The 90% confidence interval for the true mean lifespan of this product is between 13.1 and 16.9 years.
Step-by-step explanation:
We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.
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 = 50 - 1 = 49
90% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 49 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.9}{2} = 0.95[/tex]. So we have T = 1.6766
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 1.6766\frac{8}{\sqrt{50}} = 1.9[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 15 - 1.9 = 13.1 years
The upper end of the interval is the sample mean added to M. So it is 15 + 1.9 = 16.9 years
The 90% confidence interval for the true mean lifespan of this product is between 13.1 and 16.9 years.
Please sho me step by step
Answer:
1114
Step-by-step explanation:
First, you have figure out the pattern. I found out it was adding 6.
Next, you continue the pattern till you get 20 numbers.
Then you add all the numbers.
4, 10, 16, 22, 28, 34, 40, 46, 52, 58, 64, 70, 76, 82, 88, 94, 100, 112, 118
When I added these I got 1114
how many fluid ounces are equal to 26 quartz? i will give brainliest answer.
This is about scientific notation. Can someone plzzzz help I’m confused
Answer: Carat
Step-by-step explanation:
It is given that 1 atomic unit is equivalent to
[tex]8.3\times 10^{-24}\ \text{carat}[/tex] and [tex]1.66\times 10^{-21}\ mg[/tex]
Express carat and milligram in the atomic mass unit, that is
[tex]1\ \text{amu}\equiv 8.3\times 10^{-24}\ \text{carat}\\1\ \text{carat}\equiv \dfrac{1}{8.3\times 10^{-24}}=1.204\times 10^{23}\ amu[/tex]
For milligram
[tex]1\ \text{amu}\equiv 1.66\times 10^{-21}\ mg\\1\ mg\equiv \dfrac{1}{1.66\times 10^{-21}}=6.02\times 10^{20}\ \text{amu}[/tex]
clearly, carat is greater than milligram
An arena is hosting a concert. At the most, the arena can hold 8,500 people. If tickets have already been sold to 6,900 people, what is the highest number of tickets that can still be sold?
Answer:
Subtract 6,900 from 8,500 to get the highest number of tickets that can still be sold which is 1,600.
9 divided by 8 is equal to 9 multiplied by _
Answer:
1/8.
Step-by-step explanation:
9/8 = 9x
Cross multiply:
9x * 8 = 9
72x = 9
x = 9/72 = 1/8.
CHECK the answer:
9/8 = 9 * 1/8 = 9/8.
Checks OK.
Please help me!! Determine whether the function shown below is or is not periodic. If it is, find the period.
Answer:
I believe it is not periodic but I am not 100%
Does this graph represent a function
A. No, because it fails the vertical line test.
B. Yes, because it is a curved line.
C. No, because it is not a straight line.
D. Yes, because it passes the vertical line test.
Answer:
Step-by-step explanation:
The vertical line test can be used to determine whether a graph represents a function. ... If we can draw any vertical line that intersects a graph more than once, then the graph does not define a function because that x value has more than one output. A function has only one output value for each input value.
no,because it falls the vertical line test
Help? ill give 10 points.
Answer:
it is the first one
Step-by-step explanation:
HELP PLEASE IM GIVING BRAINLIEST!!
Answer:
the answer to the problem is b
2. Give vector v=< 3,-6 > and w is a vector with a magnitude of 36 and direction 155 degrees.
a. Write the vector v in i, j component form.
b. Find the magnitude and direction of vector v.
c. Find the i, j vector form of w.
d. Find the resultant vector of v+w. This includes its component form, magnitude and direction.
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Answer:
a) v = 3i -6j
b) v ≈ 6.708∠-63.43°
c) w = -32.627i +15.214j
d) v+w = -29.627i +9.214j = 31.027∠162.72°
Step-by-step explanation:
Most graphing calculators and many scientific calculators can do arithmetic with vectors, often in the form of complex numbers or arrays. Of course, the usual conversions can be used:
(r; α) ⇒ (r·cos(α), r·sin(α))
(x, y) ⇒ (√(x²+y²); atan2(x, y))
where atan2(x, y) is arctan(y/x) quadrant-adjusted for the signs of x and y
__
a) v = 3i -6j
b) v ≈ 6.708∠-63.43°
c) w = -32.627i +15.214j
d) v+w = -29.627i +9.214j = 31.027∠162.72°
__
The first attachment shows the vectors and their sum in component form as complex numbers. For your purpose, the translation is ...
a +bi ⇒ ai +bj
The second attachment shows the vectors and their sum in polar form (magnitude and direction). I like the A∠B format. You may translate it to whatever form you need, for example, (A; B), A·cis(B), A(cos(B)i +sin(B)j), Ae^(iB), or any other. (The "semicolon format" is used by at least one app to distinguish between rectangular coordinates (a, b) and polar coordinates (A; B).) The angles here are in degrees (not radians), matching the form in the problem statement.
I need help with this.
Answer:
9x2 and 9x2
Step-by-step explanation:
Write an equation that can be used to find the nth term of the sequence, an.
80, 105, 130, 155, 180, ...
Enter your answer by filling in the boxes.
an = n +
Answer:
an=105-25n is the answer
The filling in the boxes an is equal to 105-25n.
We have given that,
Write an equation that can be used to find the nth term of the sequence, an.
What is the sequence?A sequence is an enumerated collection of objects in which repetitions are allowed and order matters. Like a set, it contains members. The number of elements is called the length of the sequence.
The sequence is 80, 105, 130, 155, 180.
We have to determine an term.
To learn more about the sequence visit:
https://brainly.com/question/6561461
#SPJ2
The outside dimensions of a rectangular cooler WITHOUT its lid is 26 inches by 14 inches, with a height of 16 inches. The cooler is 2 inches thick. What is the volume inside the cooler
Answer:
3080 square inches
Step-by-step explanation:
I like to draw things out. So I drew this cooler out, with the dimensions of 26x14x16. It the cooler is 2 inches thick, I need to remove 2 inches from each side of the cooler. So I took 4 inches off of the 26 and the 14 so the length and width become 22 and 10 respectively. Then I took 2 inches off the bottom of the cooler so the 16 became 14. This gives me the new dimensions of 14x22x10.
Find the measure of < 3
t
43
90°
K
43 = [?]
Enter
Answer:
Solution given:
<3+90=180[co interior angle ]
<3=180-90=90°
is your answer
Jade bought an airplane ticket to New York for $600. Her brother bought a ticket later that same week for $618. The price increase by what percent?
Answer:
the answer to the question is 3%
Calculate the area.
Answer:
d. 91.61 cm^2
Step-by-step explanation:
have a nice day :)
Answer:
area of circle=πr²=π×5.4²=91.6cm²
3. Find the values of the constants in each of the following:
(1) f(x) = ax + b, a and b are constants, f2) = 7,f(1) = -1
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Answer:
a = 8; b = -9
Step-by-step explanation:
Filling in the given values gives you two equations.
7 = a(2) +b
-1 = a(1) +b
Subtracting the second equation from the first gives ...
(7) -(-1) = (2a +b) -(a +b)
8 = a . . . . . simplify
Using this value in the first equation gives ...
7 = (8)(2) +b
b = 7 -16 = -9
The constants are a = 8, b = -9.
Inverse function of the function f(x)= -4x/7
Answer:
-7x ÷ 4
Step-by-step explanation:
f(x) = - 4x÷7
y = - 4x ÷7
x = - 4y÷7
then,
inverse fun. is - 7 x ÷ 4
To mail a letter to Vienna, Austria the post office charges a flat rate of $9.25 and an additional $0.75 for every ounce the letter weighs. The cost of mailing a letter is determined by the equation y=0.75x+9.25, where y is the cost of the postage and x is the weight of the letter in ounces.
Answer:
See attachment for graph
Step-by-step explanation:
Given
[tex]y = 0.75x + 9.25[/tex]
Required [Missing from the question]
Graph the equation
First, we determine two points that satisfy the equation.
Let: [tex]x = 1[/tex]
[tex]y = 0.75x + 9.25[/tex] becomes
[tex]y = 0.75*1 + 9.25 = 0.75 + 9.25 =10[/tex]
This point will be represented as:
[tex](1,10)[/tex]
Let: [tex]x = 5[/tex]
[tex]y = 0.75x + 9.25[/tex] becomes
[tex]y = 0.75 * 5 + 9.25 = 3.75 + 9.25 = 13[/tex]
This point will be represented as:
[tex](5,13)[/tex]
So, we plot: [tex](1,10)[/tex] and [tex](5,13)[/tex]
See attachment for graph
Parker randomly pulled out a sock that was black form
his drawer. Without replacement, what is the
probability that Parker will randomly pull out a white
sock on his second pull?
Answer:
[tex]Probability\ that\ Parker'd\ pull\ off\ a\ White\ Sock(\ On\ His\ Second\ Pull)=\frac{6}{11}[/tex]
Step-by-step explanation:
[tex]We\ are\ given\ that,\\Total\ number\ of\ Black\ Socks=7\\Total\ number\ of\ White\ Socks=12\\Total\ number\ of\ Navy\ Socks=4\\Hence,\\Total\ number\ of\ Socks\ Parker\ has=12+4+7=23\\We\ know\ that,\\The\ Random\ experiment\ here,\ is\ pulling\ out\ a\ white\ sock,\ after\ pulling\\ a\ black\ sock.\\Hence,\\Since\ the\ Black\ Sock\ had\ been\ removed\ from\ his\ drawer,\ the\\ number\ of\ 'Socks'\ that\ remain\ in\ his\ drawer=23-1=22\\[/tex]
[tex]Hence,\\Total\ elementary\ events\ for\ this\ random\ experiment=22\\Now,\\We\ just\ need\ to\ find\ out\ the\ probability\ of\ pulling\ out\ a\ 'White\ Sock'.\\Hence,\\Number\ of\ White\ socks=12\\Hence,\\Favorable\ number\ of\ elementary\ events\ for\ the\ Random\ Experiment=12[/tex]
[tex]We\ also\ know\ that,\\Probability\ for\ an\ Event\ A=\frac{Favorable\ No.\ of\ Elementary\ Events}{Total\ no.\ of\ elementary\ events}[/tex]
[tex]Hence,\\Probability\ that\ Parker\ would\ pull\ off\ a\ white\ sock\ on\ his\\ second\ pull=\frac{12}{22}=\frac{6}{11}[/tex]
A process that is in control has a mean of 12.5 and a standard deviation of 1.1.
a. Construct the control chart for this process if samples of size are to be used (to 1 decimal).
For N=4
Find the UCL
Find the LCL
b. Repeat part (a) for samples of size and (to 2 decimals).
For N=10
Find the UCL
Find the LCL
For N=15
Find the UCL
Find the LCL
c. What happens to the limits of the control chart as the sample size is increased? Discuss why this is reasonable. and become - Select your answer (closerfarther) together as n increases. If the process is in control, the larger samples should have less variance and should fall - Select your answer (closerfarther) to 12.5
Answer:
1a) UCL = 14.2
LCL = 10.9
b) UCL = 15.63
LCL = 9.37
c) UCL = 16.48
LCL = 8.52
2) The difference between the limits falls close together as n increases
and the difference between the limits falls farther away from 12.5
Step-by-step explanation:
mean ( μ ) = 12.5
std ( б ) = 1.1
UCL = μ + ( n - 1 ) б / √n
LCL = μ - ( n - 1 ) б / √n
1) a) Given n = 4
UCL = 12.5 + ( 3 ) * 1.1 / 2
= 12.5 + 3.3/2 = 14.15 ≈ 14.2
LCL = 12.5 - 3.3/2 = 10.85 ≈ 10.9
b) Given n = 10
UCL = 12.5 + ( 9 ) * 1.1 /√10
= 12.5 + 3.13 = 15.63
LCL = 12.5 - 3.13 = 9.37
c) Given n = 15
UCL = 12.5 + 14 * 1.1 / √15
= 12.5 + 3.98 = 16.48
LCL = 12.5 - 3.98 = 8.52
2) As the sample size increases the difference between the limits of the control chart decreases
Hence the difference falls close together as n increases
and the difference between the limits falls farther away from 12.5
1+1-1+1-1 Will choose brainly
Answer:
1
Step-by-step explanation:
The sales tax for an item was $13.60 and it cost $340 before tax.
Find the sales tax rate. Write your answer as a percentage.
Answer:
4%
Step-by-step explanation:
13.60/340=.04 or 4%
WILL GIVE BRAINLIEST ONLY IF RIGHT! Isabella grows several varieties of pepper plants. The following dot plots show the numbers of peppers, rounded to the nearest 5, per plant for different varieties. Each dot represents a different plant.
Order the varieties from least to greatest the typical number of peppers per plant.
Put the graph with the least typical value on top.
Answer:
In photo
Step-by-step explanation:
Answer:
Step-by-step explanation:
what is the unit rate
Step-by-step explanation:
person above is . it's 5
A map is drawn to the scale 1:4,000.
(a) The length of a road on the map is
3.5 cm. Find its actual length in meters.
Answer:
Original length of the road = 14,000 meter
Step-by-step explanation:
Given Scale;
1 cm = 4,000 meter
The length of road on map = 3.5 cm
Find:
Computation:
Original length of the road
Original length = Length on drawing x scale factor
Original length of the road = The length of road on map x scale factor
Original length of the road = 4,000 x 3.5
Original length of the road = 14,000 meter
If you flip three fair coins, what is the probability that you'll get all three tails?
Answer:
50%
Step-by-step explanation:
Answer:
1/8
Step-by-step explanation:
trust me :D
The length of a rectangle is 11 units more than its width. The perimeter of the
rectangle is 182 units. Solve for the dimensions of the rectangle. What is the
area of the rectangle?
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Answer:
width: 40 unitslength: 51 unitsarea: 2040 square unitsStep-by-step explanation:
Let w represent the width of the rectangle. Then w+11 is the length. The perimeter is given by ...
P = 2(L +W)
182 = 2((w+11) +w)
182 = 4w +22 . . . . . simplify
160 = 4w . . . . . . . . . subtract 22
40 = w . . . . . . . . . . . divide by 4
40 +11 = length = 51 . . . . determine length
The dimensions of the rectangle are 40 × 51 units.
__
The area of the rectangle is ...
A = LW
A = (51)(40) = 2040 . . . . square units
The area is 2040 square units.
_____
Additional comment
The perimeter of a rectangle is double the sum of length and width, so that sum is 182/2 = 91 units. Now, this is a "sum and difference" problem, where the sum of length and width is 91, and the difference is 11. The solutions to such a problem are half the sum and half the difference of these numbers. Above, we found the smaller dimension (width) first: (91-11)/2 = 40. We could have found the length as (91+11)/2 = 51. The knowledge of the general solution to "sum and difference" problems often lets you work them with mental arithmetic.
Colin asked some of his classmates how many minutes they spent working on their math homework last night. He created a dot plot to show his results.
What is the range of the data Colin collected?
20
11
25
5
Answer:
If you can attach it i would be happy to help.
Step-by-step explanation:
*answer will be updated if shown*
Answer:
Step-by-step explanation:
5
write your answer as a mix number 8 1/2 + 7 2/3 add
Answer:
[tex]15\frac{13}{21}[/tex]
Step-by-step explanation:
[tex]answer[/tex]
Equalizing the denominator
Likening retailers can be done by calculating the frequency from numbered fractions. Based on examples calculated by pec from 4/3 and 5/3 = 34/4
#semogamembantu