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
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Answer:
²¹⁄ₛ which is 21/s
Step-by-step explanation:
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Answer:
[tex]8( 4 \sqrt{7} - \sqrt{18} ) = 8(4 \sqrt{7} - 3 \sqrt{2}) = 32 \sqrt{7} - 24 \sqrt{2} [/tex]
Answer:
the answer is
[tex]32 \sqrt{7} - 24 \sqrt{2} [/tex]
Alan would like to pitch an idea about a new approach to sales at the next company meeting. He plans to present the following bar graph during his pitch to convince his boss to try out his approach in the lowest performing region in the third quarter. According to the bar graph, which region fits this description?
Answer:
south
Step-by-step explanation:
Find the surface area of the solid figure.
Answer:
SA=528 cm²
Step-by-step explanation:
[tex]SA=2(\frac{1}{2} )(16)(6)\\\\+2(10)(12)\\\\+16(12)\\\\SA=528 cm^{2}[/tex]
hope it helps
have a great day!!
Which function is represented by this graph?
Answer:
Which function is represented by this graph?
9
The last option is not even a function, because it ambiguously defines the endpoints.
The first option doesn't define the endpoint, because they are always excluded.
So, the correct option is the second one, because it includes the left endpoint and excludes the right one
Step-by-step explanation:
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716x7 multiply with expanded form
Answer:
The expanded form is y=716x7
Step-by-step explanation:
Expanded form or expanded notation is a way of writing numbers to see the math value of individual digits. When numbers are separated into individual place values and decimal places they can also form a mathematical expression. 5,325 in expanded notation form is 5,000 + 300 + 20 + 5 = 5,325.
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Answer:
-285
Explanation:
I did it on my calculator
Write the equation of the graphed circle.
El area de un triángulo es de 63.6 cm2 . El largo de uno de sus lados es de 12 cm. Cuanto mide el otro lado?
Answer:
has visto los diarios de vampiros?
Step-by-step explanation:
The formula v= u + at can be used to calculate
Rearrange the formula to make u the subject.
Answer:
u = v - at
Step-by-step explanation:
v = u + at
v - at = u + at - at
v - at = u
u = v - at
The 4 in 153,458 has _______________ the value of the 4 in 192,946.
Answer:
The 4 in 153,458 has ten times more the value than the 4 in 192,946.
Step-by-step explanation:
400 and 40
400 ÷ 40 = 10
i need help on 2 & 3 ASAP
Answer:
2)100
3)100
Step-by-step explanation:
Today 108 people visited a water park during the first hour that the park was open. This number of people is 40% of the number of people who visited the water park during the first hour yesterday. How many people visited the water park during the first hour yesterday?
Answer:
40
___ x 108 = 43.2
100
For each part below, use the figure to fill in the blank.
Answer:
a) m<F = 70
b) AB = 6
Step-by-step explanation:
a)
Since this is an isoceles triangle, the base angles are equal so:
2x + 40 = 180
2x = 140
x = 70
b)
Since all of the angles are equal, this is an equilateral triangle. This also makes all of the sides equal and the same.
The age of a mother is three times the age of her son. If the difference between their
ages 20 years find their present ages.
Answer:
[tex]Mother = 30\ years[/tex]
[tex]Son = 10\ years[/tex]
Step-by-step explanation:
Given
[tex]M = Mother[/tex]
[tex]S = Son[/tex]
From the first statement:
[tex]M = 3S[/tex]
From the second:
[tex]M - S = 20[/tex]
Required
Find M and S
We have:
[tex]M = 3S[/tex] and
[tex]M - S = 20[/tex]
Substitute [tex]M = 3S[/tex] in [tex]M - S = 20[/tex]
[tex]3S -S =20[/tex]
[tex]2S = 20[/tex]
Divide both sides by 2
[tex]S = 10[/tex]
Substitute [tex]S = 10[/tex] in [tex]M = 3S[/tex]
[tex]M = 3 * 10[/tex]
[tex]M = 3 0[/tex]
Hence;
[tex]Mother = 30\ years[/tex]
[tex]Son = 10\ years[/tex]
Find the value of x in the triangle shown below 9 3
Answer:
x = 9.4868
Step-by-step explanation:
For this problem we can use the Pythagorean Theorem
Pythagorean theorem = [tex]a^2+b^2=c^2[/tex]
IN THIS CASE C = X
A and B are the side and base lengths of a right triangle.
C is the Hypotenuse side.
[tex]9^2+3^2=c^2[/tex]
Solve...
81 + 9 = [tex]c^2[/tex]
90 =[tex]c^2[/tex]
[tex]\sqrt{90}[/tex] = c
c = 9.4868
buys 5 apples for 2.60 dollars how much does one apple cost
Answer:
One apple cost $0.52.
Step-by-step explanation:
$2.60/5 = $0.52
$0.52 * 5 = $2.60
A university council wants to determine the need for a new staff room. The council conducted a survey of the staff by randomly speaking to 860 staff members out of 2,844 staff members. The council found that 70% of those surveyed were in favor of building a new staff room. Assuming a 90% confidence level, which statement holds true?
As the sample size is appropriately large, the margin of error is 0.036.
As the sample size is appropriately large, the margin of error is 0.026.
As the sample size is too small, the margin of error is 0.026.
As the sample size is too small, the margin of error cannot be trusted.
To find a margin of error for a sample proportion, these assumptions must be met, where n is the sample size and is the sample proportion.
First rewrite the proportion of positive responses as a decimal number.
Now substitute the sample proportion and the sample size, 860, into the formulas for the assumptions to determine whether they are met.
Both values are greater than 10, so the assumptions are met, and the margin of error can be calculated.
Find the margin of error using this formula, where z is the critical value.
For a 90% confidence level, . Substitute the values of z, n, and into the formula for margin of error and evaluate.
Answer:
As the sample size is appropriately large, the margin of error is 0.026
Step-by-step explanation:
The ratio of cherry trees to apple trees at an orchard is 4 to 9. If there are 184 cherry trees, use a proportion to find a, the number of apple trees.
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Shonda is making cookies with her family. They mix 2 cups of flour with a half cup of sugar. How many cups of sugar will they need if they used 8 cups of flour?
HELP ME PLEASE!!!this is due in 10 minutes
The lengths of the sides of a triangle are x,2x and 2x centimetres.If the perimeter is 20 centimeters,what is the value of x?
a)4
b)5
c)8
d)10
Answer:
a) x = 4 cm
Step-by-step explanation:
x + 2x + 2x = 20 cm
5x = 20
x = 4 cm
I believe that it is (B).
A book had length of 5 inches and a width of 8 inches what is the area of the book
3. Two computers in an office are connected to the same printer. The two computers and the printer form an isosceles triangle. Each computer is 30ft away from the printer. Don wants to connect the two computers to each other and needs to calculate how much cable will be necessary. He knows that 30 feet of cable already joins each computer to the printer and each computer is 40 degrees from the printer. Find the amount of cable needed to connect the two computers
Can someone help me please?
Answer:
5 1/6
Step-by-step explanation:
Allie is 26 years old. This is half of her
brother Alex's age, plus 5 years.
How old is Alex?
Answer:
18
Step-by-step explanation:
The dot plots show the numbers of adult books purchased by customers at two different bookstores on one day
Which statement is supported by the dot plots?
Pls explain!!!
Answer:
H mean of data for store 1 is greater than mean for store 2
Step-by-step explanation:
mode for store 1 = 3
mode for store 2 = 2
range for store 1 = 6
range for store 2 = 6
mean for store 1 = 3.3125
mean for store 2 = 2.588
median for store 1 = 3
median for store 2 = 2
CAN SOMEONE HELP ME PLEASE I NEED IT RIGHT NOW,
Answer:
Step-by-step explanation:
Reflection: the conceptual operation of inverting a system or event with respect to a plane, each element being transferred perpendicularly through the plane to a point the same distance the other side of it.
- the leaf
Rotation: The movement of something around anouther or clockwise/counter-clockwise (this one makes no since as an exsplination)
- Phone and the tire
Translation: The movement of something from one place to anouther
- the checker piece.
a computer repair company charges an hourly labor rate of $40 in addition to.the cost of oarts needed to.fic a computer. A sales tax rate of 5.5% is assessed on the cost of parts but not on the labor cost nancy had gee computer repaired by the company and the total bill came to $183.30!if it took 3. hours to.do the repair what was the cost of parts needed ti fix her comouter rounded to.the nearest whole.dollar write an equation and explain how yiu use it to find your answer
Answer:
Step-by-step explanation:
Parts + 3($40 labor)=183.30
parts + 120=183.30
parts=63.30 but it includes tax. To find costs of parts before tax you
63.30/1.055=60 so parts are $60
or to solve with one equation:
parts(1.055) + 3($40 labor) = 183.30
parts(1.055) + 120=183.30
parts(1.055)=63.30
Parts = 63.30/1.055
parts = 60
Helen puts 50 marbles into 9 jars. First, she puts in the greatest
possible number of marbles into each of the 1st 8 jars. Each of these
8 jars has an equal number of marbles. The remaining marbles are
then put into the 9th jar. How many more marbles does she need for
the 9th jar such that every jar has the same number of marbles?
Answer:
She needs 4 more marbles for the 9th jar.
Step-by-step explanation:
Multiples of 8:
M = {0, 8, 16, 24, 32, 40, 48, 56, ...}
First, she puts in the greatest possible number of marbles into each of the 1st 8 jars.
The total is the greatest multiple of 8 below 50, which is 48.
In each jar:
48/8 = 6
The remaining marbles are then put into the 9th jar.
50 - 48 = 2 in the 9th jar.
How many more marbles does she need for the 9th jar such that every jar has the same number of marbles?
All others have 6, the 9th has 2.
6 - 2 = 4
She needs 4 more marbles for the 9th jar.
Determine the point estimate. An article in an educational journal discussing a non-conventional high school reading program reports a 95% confidence interval of (520 , 560) for the average score on the reading portion of the SAT. The study was based on a random sample of 20 students and it was assumed that SAT scores would be approximately normally distributed. Determine the sample mean that was used to build this confidence interval.
Answer:
Step-by-step explanation:
CI ( 95 % ) means α = 5 % α = 0,05 α /2 = 0,025
If we have a normal distribution and build a CI by symmetry such CI has as a middle point the mean in this case
CI 95 % = ( 520 ; 560 )
the mean is (520 + 560 ) / 2
mean = 540