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Related Questions
the ucl and lcl for an chart are 25 and 15 respectively. the central line is 20, and the process variability is considered to be in statistical control. the results of the next six sample means are 18, 23, 17, 21, 24, and 16. what should you do? group of answer choices explore the assignable causes because the second, fourth, and fifth samples are above the mean. explore the assignable causes because there is a run. explore the assignable causes because there is a trend. nothing; the process is in control.
Answers
19.8 The process is in control as no point is outside the upper or lower control limit.
What does a math centerline mean?
Simply put, the centerline is the midpoint of the vertical y-distance between the maximum and minimum y-values. In other words, the centerline would be at y = 0 if y = A sinx, amplitude = 1, maximum y = 1, minimum y = 1, and maximum amplitude = 1.The data for the next six means is 18, 23, 17, 21, 24, and 16.
The central line is k = 20
Generally the mean of the next six mean is mathematically represented as
C = 18 + 23 + 17 + 21 + 24 + 16/6
C = 19.8
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Triangle JKL is an equilateral triangle with two of its vertices at points J and K. What are the coordinates of point L? Round to the nearest tenth as needed.
Answers
Answer:
(6, 7.2)
Explanation:
Since it is an equilateral triangle, all of the side lengths must be equal.
Therefore, we know the lengths JK = 6 and JL = 6. If h is the height of the triangle, the Pythagoras's theorem says
\((\frac{JK}{2})^2+h^2=JL^2\)putting in the values of JK and JL gives
\((\frac{6}{2})^2+h^2=6^2\)\(3^2+h^2=6^2\)subtracting 3^2 from both sides gives
\(h^2=6^2-3^2\)\(h^2=27\)Taking the square root of both sides gives
\(h=3\sqrt[]{3}\)or in decimal form rounded to the nearest tenth
\(h=5.2\)With the value of h in hand, we can now read off the coordinates of L.
The x coordinate of L is 6 (count the boxes along the x-axis until you are under L or halfway between J and K).
The y-coordinate of L is 2 + h = 2 + 5.2 = 7.2 ( how far above the x-axis the traingle is plus the height of the triangle ).
Hence, the coordinates of the point L are (6, 7.2).
Jeff spent $50 on gifts for his tamily. The first 2 items cost a total of $15 and then he bought 2 more for a total of $20. How many additional gifts did Jeff buy if their average cost was $10 each?
Answers
The number of additional gifts Jeff can buy with the remaining cost is 1.
What is the arithmetic operator?Arithmetic operators are four basic mathematical operations in which summation, subtraction, division, and multiplication involve.,
As per the given,
Total cost = $15 + $20 = $35
Total spent = $50
Remaining = $50 - $35 = $15
Since one gift cost $10
Thus, 15/10 = 1.5 since the number of gifts will be the whole number so it will be round to bottom 1 gift.
Hence "With the money still available, Jeff can purchase 1 more present".
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Mark the points in which the magnetic field is zero.
Check all that apply.
Check all that apply.
6
2
1
5
4
3
Answers
The points in which the magnetic field is zero is 2,4, and 6.
To find the null points, we need to solve the equations that describe the magnetic field in a given region. One way to do this is to use the principle of superposition. This principle states that the magnetic field at any point in space is the vector sum of the magnetic fields produced by all the magnetic sources in the region.
Let's consider a simple case of a magnetic dipole, which is a magnetic source that has two poles of opposite polarity. The magnetic field lines of a magnetic dipole form a pattern that resembles a bar magnet. At the center of the magnetic dipole, the magnetic field is zero. This is because the magnetic field lines coming from one pole cancel out the magnetic field lines coming from the other pole.
In the case of the given points (1,2,3,4,5,6), we would need more information about the magnetic field to determine the null points.
Therefore, the resulting points are 2,4 and 6.
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help me please asap ‘,:’
Answers
Answer:
0.75
Step-by-step explanation:
625=5^(7x-3) what is x
Answers
\(625=5^{7x-3}\implies 5^4=5^{7x-3}\implies 4=7x-3 \\\\\\ 7=7x\implies \cfrac{7}{7}=x\implies 1=x\)
A family buys 4 airline tickets online. The family buys travel insurance that costs $19 per ticket. The total cost is $724. Let x represent the price of one ticket. Write an equation for the total cost. Then find the price of one ticket.
Answers
Answer:
total cost equation = ( 9+x) times 4 = 724. Total,price of a ticket is 162$
Step-by-step explanation:
Since insurance for each ticket costs 19$ and the family bought four and the ticket itself costs x, the costs of the four tickets is (19+x) times 4. If thr total cost is 724 then we can take 19 times4 and subtract that from it because 19times 4 + x times 4 is the same as (19+x) times 4. From this we fet 648. Now we have x4 or x times 4 = 648 leftover, so divided 648 by 4 to get one x out of it since it is made up of four x. You get 162 from this, so the price of a ticket without insurance is 162$
What is the first step Anika made from the original equation.
Answers
Answer:
She factored out a 4 from the equation.
Step-by-step explanation:
So our original equation is 12x + 4 = 20x - 12
Anika's first steep of her equation is 3x + 1 = 5x - 3
We know that the terms were not moved around, so the first step was likely multiplication or division.
We also see that a 4 has been factored out of the entire equation, like this:
12x + 4 = 20x - 12
4(3x + 4) = 4(5x - 3)
And these 4's cancel each other out.
So, I conclude that Anika's first step was dividing the entire equation by 4 or factoring out a 4 from the equation.
What are the roots of 2x² 3x 5?
Answers
The roots of the quadratic equation 2x² - 3x - 5 = 0 by using the quadratic formula are 5/2 and -1.
What is the root of the quadratic equation?
The values of variables satisfying the given quadratic equation are called their roots. In other words, x = α is a root of the quadratic equation f(x), if f(α) = 0. The real roots of equation f(x) = 0 are the x-coordinates of the points where the curve y = f(x) intersects the x-axis.
We have given,
the quadratic equation is 2x² - 3x - 5 = 0
to find the roots of the equation.
By using the quadratic formula,
x = [-b ± √b² - 4ac]/2a
Here, a = 2, b = -3 and c = -5
b² - 4ac = (-3)² - 4(2)(-5)
= 9 + 40
= 49
x = [- (-3) ± √49]/2(2)
x = [3 ± 7]/4
Now, x = (3+7)/4 = 10/4 = 5/2
x = (3-7)/4 = -4/4 = -1
Therefore, the roots of the equation are 5/2 and -1.
Hence, The roots of the quadratic equation 2x² - 3x - 5 = 0 by using the quadratic formula are 5/2 and -1.
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Match the reasons with the statements in the proof if the last line of the proof would be
6. ∠1 and ∠7 are supplementary by definition.
Given: s || t
Prove: 1, 7 are supplementary
1. Substitution
2. Exterior sides in opposite rays.
3. Given
4. If lines are ||, corresponding angles are equal.
5. Definition of supplementary angles.
s||t
∠5 and ∠7 are supplementary.
m∠5 + m∠7 = 180°
m∠1 = m∠5
m∠1 + m∠7 = 180°
Answers
The statement are matched with their reasons as;
∠5 and ∠7 are supplementary; Definition of supplementary angles
m∠1 = m∠5; If lines are ||, corresponding angles are equal
m∠1 + m∠7 = 180°; Exterior sides in opposite rays.
How to determine the proofsTo determine the proofs, we need to know the following;
Supplementary angles are defined as angles that sum up to 180 degreesComplementary angles are defined as pair of angles that sum up to 90 degreesAngles on a straight line is 180 degreesAngle at right angle is 90 degreesCorresponding angles are equalAdjacent angles are equalLearn more about angles at: https://brainly.com/question/25716982
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Please Help!
The telephone company offers two billing plans for local calls. Plan 1 charges $28 per month for unlimited calls and Plan 2 charges $12 per month plus $0.08 per call. Let x represent monthly calls.
a. Use an inequality to find the number of monthly calls for which Plan 1 is more economical than Plan 2.
b. Explain the meaning of the answer to part a.
Answers
A. For any number of monthly calls "x" greater than 200, Plan 1 is more economical than Plan 2.
Meaning of the answer to part A:The answer to part a means that if a customer expects to make more than 200 local calls per month, it is more economical for them to choose Plan 1 over Plan 2. For example, if a customer makes 250 local calls per month, Plan 1 would cost $28 while Plan 2 would cost $20 ($12 + $0.08 x 250), so Plan 1 would be the better choice for them. However, if a customer expects to make fewer than 200 local calls per month, then Plan 2 would be more economical for them, as they would pay less than $28 per month.
What is the break-even point for the two billing plans offered by the telephone company?The break-even point is the number of monthly calls for which the total cost of Plan 1 is equal to the total cost of Plan 2.
This occurs when the inequality $16 < $0.08x is satisfied, which simplifies to 200 < x.
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find the probability that randomly selected person in China has a blood pressure that is at most 70.5 mmHg.
Answers
To find the probability, we need to know the mean and standard deviation of blood pressure in China, calculate the Z-score for 70.5 mmHg, and find the corresponding area under the standard normal curve.
The final probability will depend on the specific values of μ and σ.
To find the probability that a randomly selected person in China has a blood pressure that is at most 70.5 mmHg, we need to consider the distribution of blood pressure values in the population. Let's assume that the distribution follows a normal distribution.
To calculate the probability, we need to know the mean and standard deviation of blood pressure in China. Let's say the mean blood pressure is μ and the standard deviation is σ.
Using the Z-score formula, we can convert the blood pressure value of 70.5 mmHg into a Z-score. The Z-score represents the number of standard deviations a data point is from the mean.
Then, we can use a Z-table or a calculator to find the area under the standard normal curve corresponding to the Z-score. This area represents the probability of having a blood pressure at most 70.5 mmHg.
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width = 18 in, length = 1.92 ft Area = in?
Answers
34.56
Just multiply them, and you will get the answer.
Answer:
34.56
Step-by-step explanation:
What's the numerator for the following rational
expression?
000
Clear all
2
b
000
b
Enter the correct answer.
+0
DONE
Answers
The numerator of the rational expression a/b + 2/b = ?/b is
(2 + a)
How to find the numeratorThe numerator is solved by adding the fractions together
since the denominator is same, and in this case we have b, then the addition is easier.
The given expression is added below
= a/b + 2/b
= (a + 2) / b
hence ? = (a + 2)
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Because of the relatively high interest rates, most consumers attempt to pay off their credit card bills promptly. However, this is not always possible. An analysis of the amount of interest paid monthly by a bank's Visa cardholders reveals that the amount is normally distributed with a mean of 25 dollars and a standard deviation of 9 dollars.
A. What proportion of the bank's Visa cardholders pay more than 29 dollars in interest?
Proportion =
B. What proportion of the bank's Visa cardholders pay more than 35 dollars in interest?
Proportion =
C. What proportion of the bank's Visa cardholders pay less than 14 dollars in interest?
Answers
The proportion of the bank's Visa cardholders who pay more than $29 in interest is 0.3300 or 33.00%.
A. To find the proportion of the bank's Visa cardholders who pay more than $29 in interest, we need to find the area under the normal distribution curve to the right of $29.
We can standardize the value of $29 using the formula z = (x - μ) / σ, where x is the value of interest, μ is the mean, and σ is the standard deviation. Thus,
z = (29 - 25) / 9 = 0.4444
Using a standard normal distribution table or calculator, we can find that the area to the right of z = 0.4444 is 0.3300. Therefore, the proportion of the bank's Visa cardholders who pay more than $29 in interest is 0.3300 or 33.00%.
B. To find the proportion of the bank's Visa cardholders who pay more than $35 in interest, we need to standardize the value of $35 and find the area under the normal distribution curve to the right of that value. Thus,
z = (35 - 25) / 9 = 1.1111
Using a standard normal distribution table or calculator, we can find that the area to the right of z = 1.1111 is 0.1331. Therefore, the proportion of the bank's Visa cardholders who pay more than $35 in interest is 0.1331 or 13.31%.
C. To find the proportion of the bank's Visa cardholders who pay less than $14 in interest, we need to find the area under the normal distribution curve to the left of $14. We can standardize the value of $14 using the formula z = (x - μ) / σ, where x is the value of interest, μ is the mean, and σ is the standard deviation. Thus,
z = (14 - 25) / 9 = -1.2222
Using a standard normal distribution table or calculator, we can find that the area to the left of z = -1.2222 is 0.1103. Therefore, the proportion of the bank's Visa cardholders who pay less than $14 in interest is 0.1103 or 11.03%.
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The monthly rent of a house is Rs4200. The rent is decreased by 15%. Calculate the new rent.
Answers
Answer:
3570
Step-by-step explanation:
the current monthly rent is 4200.
now, decreasing it by 15% means to reduce it, to subtract 15% from it.
4200 = 100%
42 = 1%
15% = 42 × 15 = 630
so, the new rent is 4200 - 630 = 3570
When Avani goes bowling, her scores are normally distributed with a mean of 145 and a standard deviation of 12. Using the empirical rule, determine the interval that would represent the middle 68% of the scores of all the games that Avani bowls.
Answers
Answer:(133,157)
Step-by-step explanation:
Using the empirical rule, the interval that would represent the middle 68% of the scores of all the games that Avani bowls is (133, 157).
What is Empirical Rule?Empirical rule is a rule for normally distributed data which defines that almost all the data observed ranges between three standard deviations from the mean.
Here, the scores of Avani is normally distributed.
Mean, μ = 145
Standard Deviation, σ = 12
By the Empirical rule, about 68% of the data falls within one standard deviation.
That is, in the interval μ ± σ.
Interval is (μ - σ, μ + σ) = (145-12, 145+12) = (133, 157)
Hence the interval is (133, 157).
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At a certain university there are 10 different time periods during which classes can be scheduled. If there are 390 different classes, what is the minimum number of different rooms that will be needed
Answers
Answer:
The minimum number of different rooms for accommodating 390 classes if there are 10 different time periods is 39
Step-by-step explanation:
Number of time periods = 10
Number of Classes = 390
Now, if we have a single room, then we can accommodate 10 classes
if we have 2 rooms, we can accommodate (10)(2) = 20 classes
and so on
so we have the relation,
(number of rooms)(number of time periods) = (number of classes that can be accommodated)
We need to find the number of rooms for 390 classes, given that number of time periods is 10, so we get,
(number of rooms)(10) = 390
number of rooms = 390/10
number of rooms =39
solve for angle 1
pls hurry
Answers
Answer:
Step-by-step explanation:
246 degrees
Answer:61.5
Step-by-step explanation:
123/2=61.5
61.5+57=118.5
180-118.5=61.5
)
The rate for a 2-year subscription to a magazine is $5.99 a month. The rate for a 3-year subscription to the same
magazine is $4.00 a month. The daily newspaper costs $1.50 a day. What is the total amount of money you will pay
if you order a 3-year subscription to the magazine?
You will pay $
.00 to order a 3-year subscription to the magazine.
Answers
Answer: You will pay 144 to order a 3 year subscription to the magazine.
Step-by-step explanation:
I'd maggy has 80 fruits and divides them ro twelve
Answers
The number of portion with each having 12 fruits is at most 6 portions.
To divide the fruits into 12 portions
Total number of fruits = 80
Number of fruits per portion = 12
Number of fruits per portion = (Total number of fruits / Number of fruits per portion )
Number of fruits per portion = 80/12 = 6.67
Therefore, to divide the fruits into 12 fruits , There would be at most 6 portions.
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if ssr = 47 and sse = 12, what is r?
Answers
If SSR = 47 and SSE = 12, the correlation coefficient R is approximately ±0.8925.
HTo find the coefficient of determination (R-squared or R²) using SSR (Sum of Squares Regression) and SSE (Sum of Squares Error), you'll first need to calculate the total sum of squares (SST), and then use the formula R² = SSR/SST. Here are the steps:
1. Calculate SST: SST = SSR + SSE
In this case, SST = 47 + 12 = 59
2. Calculate R²: R² = SSR/SST
For this problem, R² = 47/59 ≈ 0.7966
Since R (correlation coefficient) is the square root of R², you need to take the square root of 0.7966. Keep in mind, R can be either positive or negative depending on the direction of the relationship between the variables. However, since we do not have information about the direction, we'll just provide the absolute value of R:
3. Calculate R: R = √R²
In this case, R = √0.7966 ≈ 0.8925
So, if SSR = 47 and SSE = 12, the correlation coefficient R is approximately ±0.8925.
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Two people jog at the speed of 6 km/hr (Person 1) and 4 km/hr (Person 2). What is
the distance covered by each one of them when they run a total of 2 hours?
Answers
Answer:
Person 1 run a total of 12 km. Person 2 run a total of 8 km.
Step-by-step explanation:
Person 1 = 6 km/hr x 2
6 x 2= 12 km
Person 2 = 4 km/hr x 2
4 x 2= 8 km
A pet store clerk suggested 4 small fish for a 5-gallon fish tank. What size tank would be suggested to hold 60 small fish?
12-gallon tank
48-gallon tank
75-gallon tank
240-gallon tank
Answers
The size of the tank would be suggested to hold 60 small fish is 75 gallon-tank option (C) is 75 gallon-tank.
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that is +, -, ×, and ÷.
It is given that:
A pet store clerk suggested 4 small fish for a 5-gallon fish tank.
4 small fish = 5-gallon
60 small fish = x gallon
x = (5)(60)/4
x = 75 gallon-tank
Thus, the size of the tank would be suggested to hold 60 small fish is 75 gallon-tank option (C) is 75 gallon-tank.
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12x + 6y = 24 what are x and y intercepts
Answers
Answer:
x = 2
y = 4
Step-by-step explanation:
Your required to use standard form which is ax + by = c
To find x, you must plug in 0 for y in which you get 2. ( 12 x 2 = 24 )
You do the similar thing for finding y. You plug in 0 for x and you get 4 as y. ( 6 x 4 = 24 )
What is the product of 4.6 and 3 in word form
Answers
Answer:
thirteen and 8 tenths
Step-by-step explanation:
Answer:
thirteen and eight tenths (13.8)
Step-by-step explanation:
4.6 x 3 = 13.8 (In your head, do 4*3 and .6*3, then add 12 and 1.8)
13.8 is also 13 8/10
so it can be said as thirteen and eight tenths
the area of a cylinder is 25\(\pi\)cm2 and its height is 11 cm.
find the base diameter and area of the wrapper in terms of \(\pi\)
Answers
The diameter of cylinder is 2.28 cm and area of wrapper is 60.56π cm².
What is Cylinder?A cylinder is a three-dimensional solid figure which has two identical circular bases joined by a curved surface at a particular distance from the center which is the height of the cylinder.
Here, Given area of cylinder = 25π cm²
Height of cylinder = 11 cm.
Now, Area of Cylinder = 2πrh
25π = 2πr X 11
25 = 22r
r = 25 / 22
r = 1.14 cm
Then, diameter = 2r = 2 X 1.14 = 2.28 cm
Now area of wrapper = total surface area = 2πr(r + h)
= 2π X 2.28 (2.28 + 11)
= 4.56π X 13.28
= 60.56π cm²
Thus, the diameter of cylinder is 2.28 cm and area of wrapper is 60.56π cm².
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first use the perimeter formula, blank, to find the perimeter of the blank rectangle?
Answers
Answer:
Perimeter of the rectangle= 2(length + breadth)
Step-by-step explanation:
Dude there is no numerical's... but i hope it will helps you
see ya'
what are the correct steps in finding the linear equation of a line that passes threw the points (-1,7) and (2,4) using the point slope form method?
Answers
We have to find the equation of a line fo which we know two points, using the point-slope form.
The point-slope let us write the equation of the line knowing the value of the slope m and the coordinates of one point (x0,y0) of the line:
\(y-y_0=m(x-x_0)\)We use the two known points to calculate the slope m:
\(m=\frac{\Delta y}{\Delta x}=\frac{y_2-y_1}{x_2-x_1}=\frac{4-7}{2-(-1)}=\frac{-3}{3}=-1\)Using the point (-1,7), we can write the equation as:
\(\begin{gathered} m=-1 \\ (x_0,y_0)=(-1,7) \\ \\ y-7=-1\cdot(x-(-1)) \\ y-7=-(x+1) \\ y-7=-x-1 \\ y=-x-1+7 \\ y=-x+6 \end{gathered}\)Answer: From the options, the right ones are:
y-7=-1(x-(-1))
y-4=-1(x-2) --> this one would have been used if we picked the point (2,4) instead of (-1,7)
y=-x+6
What is the y intercept of the line perpendicular to the line y=-3/4x+5 that includes the point (-3,-3)
Answers
The line perpendicular to the line y=-3/4x+5 that includes the point (-3,-3) is y=-4/3x-7.
What is the equation of a line?The general equation of a straight line is y=mx+c, where m is the gradient, and y = c is the value where the line cuts the y-axis. This number c is called the intercept on the y-axis.
The given equation of a line is y=-3/4x+5 and the coordinate point is (-3, -3)
Here, slope of a line is -3/4.
The slope of a line perpendicular to given line is m1=-1/m2
Now, the slope of a line is -4/3
Substitute m= -4/3 and (x, y) =(-3, -3) in y=mx+c, we get
-3=-4/3 (-3)+c
c=-7
Substitute m= -4/3 and c=-7 in y=mx+c, we get
y=-4/3x-7
Therefore, the line perpendicular to the line y=-3/4x+5 that includes the point (-3,-3) is y=-4/3x-7.
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