Yes, that's correct. The Pareto Chart also called bar charts, named after Vilfredo Pareto, is a graphical tool used in quality control and continuous improvement methodologies such as Six Sigma to help identify the most significant causes of problems.
In a Pareto Chart, the bars are arranged in descending order of height, with the most frequently occurring cause appearing first on the left. This allows you to quickly see which issues are the most pressing and require the most attention. By focusing on the most impactful causes, organizations can achieve the greatest improvement in their processes.
A bar chart gives a visual representation of the information.
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90% of 10 is
150% of 20 is
5% of 50 is
there are 10 total Marbles. 40% are white. How many Marbles are white?
Answer:
9
30
2.5
4
Step-by-step explanation:
I hope you understand cause I did it mentally but if you need and explanation just text here
If there is inverse variation and y=-4 when x=14 find x when y=28
Answer:
7 times 4 equals 28
Step-by-step explanation:
Answer:
The answer will be 2
Step-by-step explanation:
x = 14 y = 4
x = ? y = 28
= 14 × 4 = x × 28
= 56 = x × 28
= x = 28/56
= x = 2
What is the domain of function h? h(x)=square root of x-7 +5
The domain of the function h(x) = √(x - 7) + 5 should be greater than or equal to 7 that is [7, ∞).
What is a function?A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.
The domain means all the possible values of x and the range means all the possible values of y.
The function is given below.
h(x) = √(x - 7) + 5
The value inside the square root should be greater than or equal to zero. Then we have
x - 7 ≥ 0
x ≥ 7
The domain of the function h(x) = √(x - 7) + 5 should be greater than or equal to 7 that is [7, ∞).
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8. The ratio of the number of boys to the number of girls in a dance club is 5 : 6.
After 6 more boys join the club, the ratio became 13:12.
a) How many members of the club are girls?
b) How many boys are members of the club in the end?
Answer:
a, 18 girls
b. 21 boys
Step-by-step explanation:
a) To find the number of girls in the club, we can use the fact that the ratio of boys to girls is 5:6. If we let x be the number of girls in the club, then the number of boys is 5/6x.
When 6 more boys join the club, the new ratio is 13:12.
We can set up the equation: (5/6x)+6 = (13/12*x).
Solving for x gives us x = 18.
So there are 18 girls in the dance club.
b) To find the number of boys in the club in the end, we can use the new ratio of 13:12 and the number of girls we found earlier (18). If we let y be the number of boys in the club in the end, then the number of girls is 12/13y.
We can set up the equation: 18 = (12/13y)
Solving for y gives us y = 21.
So there are 21 boys in the dance club in the end.
f(x) =
(3,
4,
5,
if 0 ≤ x < 2
if 2 ≤ x < 4
if 4 ≤ x
what is the domain and range?
According to the problem the domain of this function is all real numbers x greater than or equal to 0.
What are real numbers?Real numbers are any number that can be used to represent a quantity on the number line. They include both rational numbers (integers, fractions, and decimals) and irrational numbers (numbers that cannot be expressed as a fraction). Real numbers can be positive, negative, or zero and include the number line's endpoint values of positive and negative infinity. Real numbers are used in many areas of mathematics, including algebra and calculus. They are also found in everyday life, in the measurements of length, temperature, and in currency values.
The domain of this function is all real numbers x greater than or equal to 0. The range of this function is all real numbers y greater than or equal to 3. This is because all values of x are mapped to values of y that are greater than or equal to 3.
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Finding unknown measures in similar triangles
- i need help with this im trying to understand
The unknown measures in similar triangles in which x is 24 in.
What is a similar triangle?
Two triangles are similar if their corresponding angles are equal and their corresponding sides are within the same ratio (or proportion). Similar triangles will have the same shape, but not necessarily the same size.
We have given,
ΔABC ≈ ΔXYZ
In ΔABC
AC = 36 in, BC = 18 in and AB = x in
In ΔXYZ
XY = 16in, ZY = 12in and XZ = 24in
We know that,
the side and angles of a similar triangle are in proportion to each other.
AC / XZ = 36 / 24 = 3/2
BC / ZY = 18 / 12 = 3/2
AB / XY = x / 16
AC / XZ = BC / ZY = AB / XY --------(similar triangle)
x / 16 = 3/2
x = 3/2 * 16
x = 3 * 8
x = 24
hence, the unknown measures in similar triangles in which x is 24 in.
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Let A = {h,i,j,k,l} and B = {h.j,l,m,n}. Find n(A U B).
A. 3
B. 10
C. 2
D. 7
Answer:
answer is D
Step-by-step explanation:
A={h,I,j,k l} and B={h,j,l m,n}
n(A U B)={h,I,j,k,l,m,n }
number is 7
Joe invested $600 in two companies, company A and B. In company B, he invested $40 more than his investment in company A. Fill in the following blanks: (1) If Joe invested x dollars in company A, how much did he invest in company B?
Answer:
If Joe invested x dollars in company A, he invested x + 40 dollars in company B.
f(x)=x^3-3x^2+2
g(x)=2f(x)-1
a) describe the graph of g as a transformation of the graph of f.
write a rule for g
a) The transformations applied to the graph of f to obtain the graph of g are given as follows:
Vertical stretch by a factor of 2.Shift down of one unit.b) The rule for g(x) is given as follows: g(x) = 2x³ - 6x² + 3.
What are the transformations?The parent function f(x) is defined as follows:
f(x) = x³ - 3x² + 2.
The transformed function is given as follows:
g(x) = 2f(x) - 1.
The meaning of each transformation is given as follows:
Multiplication by 2: vertical stretch by a factor of 2.Subtraction by 1: Shift down one unit.The rule for g(x) is then obtained as follows:
g(x) = 2(x³ - 3x² + 2) - 1
g(x) = 2x³ - 6x² + 4 - 1
g(x) = 2x³ - 6x² + 3.
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HELP ASAP, I PROMISE I WILL GIVE YOU BRAINLIST IF YOU ANSWER RN
Answer:
Step-by-step explanation:
Answer is A
On average, the number of electric guitars sold in Ohio each year is equivalent to seven times the average number sold yearly in Montana. If, on average, there are 49,525 electric guitars sold each year in Ohio, how many are sold in Montana?
The number of guitars sold each year in Montana is given as follows:
7075 guitars.
How to obtain the number of guitars sold per year in Montana?The number of guitars sold per year in Montana is obtained applying the proportions in the context of this problem.
Ohio's average is seven times Montana's average, hence Montana's amount is obtained dividing Ohio's amount by 7.
Ohio's amount is given as follows:
49525 guitars.
Hence Montana's amount is obtained as follows:
49525/7 = 7075 guitars.
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please answer a b and c ! Please expand the expiation and simplify it!
Answer:
pls give brainiest
Step-by-step explanation:
a）2（x＋5）＋4（x-1）
＝2x＋10＋4x-4
＝6x＋6
＝6（x＋1）
b）3（y-2）＋2（y-1）
＝3y-6＋2y-2
＝5y-8
c）7（r＋3）-2（r-1）
＝7r＋21-2r＋2
＝5r＋23
Please help me with this question.
The exact value of the trigonometric function is equal to - √5 / 2.
How to determine the exact value of a trigonometric function
In this problem we must derive the exact value of a trigonometric function based on result of another trigonometric function and given quadrant from Cartesian plane.
Cartesian plane is formed by intersection of two orthogonal axes that creates after four regions known as quadrants, now defined:
First quadrant: x > 0, y > 0.Second quadrant: x < 0, y > 0.Third quadrant: x < 0, y < 0.Fourth quadrant: x > 0, y < 0.And trigonometric functions for a given angle are defined below:
sin θ = y / r
cos θ = x / r
tan θ = y / x
cot θ = x / y
sec θ = r / x
csc θ = r / y
Where r = √(x² + y²) by Pythagorean theorem.
First, derive the components of the given trigonometric function:
sec θ = 3 / 2 → x = 2, r = 3
y = - √(r² - x²)
y = - √(3² - 2²)
y = - √(9 - 4)
y = - √5
Second, find the exact value of the tangent:
tan θ = - √5 / 2
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what is the x and y intercept of 4x + y + 43
Answer:
The x intercept is going to be (-43/4) and the y intercept is going to be (0,-43)
Step-by-step explanation:
hope this helped
Three dice are rolled. let the random variable x represent the sum of the 3 dice. by assuming that each of the 6^3 possible outcomes is equally likely, find the probability that x equals 10.
P(x=10) =
The probability of P(X=10) is [tex]\frac{27}{216}[/tex]
To get a sum of 10 , the possible triples are
Set1 Set2
136 226
145 244
235 334
A probability is a number that reflects the chance or likelihood that a particular event will occur. Probabilities can be expressed as proportions that range from 0 to 1, and they can also be expressed as percentages ranging from 0% to 100%.If a ≠ b ≠ c there exist 3 !=b number of permutations of (a, b, c).
If a = b ≠ c then there exist 3 unique permutations of (a, b, c).
In set 1 in each combinations, there are different numbers. joe [tex]$a \neq b \neq c$[/tex]. Thus for each combination there exist 6 permutations.
For example (1 3 6) can be written in 6 different ways.
(1 3 6), (1 6 3), (6 1 3), (3 1 6), (6 3 1)
This, we can get a sum of 10 from the numbers 136 in 6 ways.
There are 3 different combinations in set 1 , thus total number ways =3*16-18.
In set of 2 each combination can be obtained in a 3 ways.
So, total number of ways in set 2 is 3*3=9.
The total is 18+9=27 number of possible ways to get sum of 10 in three dice.
⇒P(X=10)=[tex]\frac{27}{6^{3} }[/tex]
⇒P(X=10)=[tex]\frac{27}{216}[/tex]
Therefore, the P(X=10) is [tex]\frac{27}{216}[/tex].
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Use the diagram below to answer the questions about the Law of Cosines.
Based on the Law of Cosines; it was proven that:
cos Θ = x/acos (180 - C) = x/aa² + b² + 2bx = c²Please note that the given equation on number 3 is wrong. The correct equation should be: a² + b² + 2bx = c². The explanation why the given equation is incorrect will be explained later.
Based on the unshaded triangle, we can find that:
cos Θ = x/a
Next, we will prove that: cos (180 - C) = x/a
Remember that:
cos (A + B) = cos A cos B - sin A sin B
Law of Cosines: c² = a² + b² - 2ab. cos C
cos C = - [c² - (a² + b²)] /2ab ... (i)
Then:
cos Θ = cos (180 - C)
cos (180 - C) = cos 180 . cos C - sin 180 . sin C
We subtitute equation (i):
cos (180 - C) = (-1) (- [c² - ((a² + b²)] / 2ab) - 0 sin C
cos (180 - C) = [c² - (a² + b²)]/ 2ab ... (ii)
If we focus on the unshaded triangle, we can find an equation of a, where:
a² = h² + x² ... (iii)
And if we combine both triangle into a giant triangle, we can make another equation of c. where:
c² = (x + b)² + h² ... (iv)
We will subtitute equation (iv) into equation (ii):
cos (180 - C) = [c² - (a² + b²)]/ 2ab
cos (180 - C) = [(x + b)² + h² - (a² + b²)] / 2ab
cos (180 - C) = [x² + b² + 2bx + h² - a² - b²] / 2ab
cos (180 - C) = [x² + 2bx + h² - a²] / 2ab ... (v)
We subtitute equation (iii) into equation (v):
cos (180 - C) = [x² + 2bx + h² - a²] / 2ab
cos (180 - C) = [a² + 2bx - a²] / 2ab
cos (180 - C) = 2bx / 2ab
cos (180 - C) = x/a --> PROVEN!
Next, we will try to show why the given equation of a² + b² - 2bx = c² is incorrect.
We know that:
a² + b² - 2ab cos C = c²
c² = (x + b)² + h²
We will try to find the value of cos C:
a² + b² - 2ab cos C = (x + b)² + h²
a² + b² - 2ab cos C = x² + b² + 2bx + h²
a² - 2ab cos C = a² + 2bx
- 2 ab cos C = 2bx
cos C = - x/a
We will subtitute the value of cos C under the Law of Cosines:
c² = a² + b² - 2ab cos C
c² = a² + b² - 2ab (- x/a)
c² = a² + b² + 2bx --> PROVEN!
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Given that f(x) = x² − 8x + 12 and g(x) = x − 2, find (ƒ – g)(x) and express
the result as a polynomial in simplest form.
Answer:
(f - g)(x) = f(x) - g(x) = (x² - 8x + 12) - (x - 2) = x² - 8x + 12 - x + 2 = x² - 9x + 14. So, (f - g)(x) = x² - 9x + 14.
What number has 7 ten thousands, 5 fewer thousands than ten thousands, 1 more hundred than thousands, 6 more tens than hundreds , and 5 more ones than ten hundreds?
Answer:
Step-by-step explanation:
The number is 75,146.
This can be arrived at by breaking down the number as follows:
7 ten thousands: 70000
5 fewer thousands than ten thousands: 10000 - 5000 = 5000
1 more hundred than thousands: 5000 + 100 = 5100
6 more tens than hundreds: 5100 + 60 = 5160
5 more ones than ten hundreds: 5160 + 5 = 5165
So, 70000 + 5000 + 5100 + 60 + 5 = 75,165
The table represents the relationship between the number of employees scheduled per estimated customer at a clothing store. The graph represents the relationship between the number of employees scheduled per estimated customer at a coffee shop.
At the clothing store, the number of customers that one employee can help is 4 customers.
At the coffee shop, the number of customers that one employee can help is 6 customers.
What is the point-slope form?Mathematically, the point-slope form of a straight line can be calculated by using this mathematical expression:
y - y₁ = m(x - x₁) or y - y₁ = (y₂ - y₁)/(x₂ - x₁)(x - x₁)
Where:
m represents the slope.x and y represents the points.Next, we would determine the linear equation representing the clothing shop with these points (2, 4) and (3, 6) by using the point-slope form as follows:
y - y₁ = (y₂ - y₁)/(x₂ - x₁)(x - x₁)
y - 4 = (6 - 4)/(3 - 2)(x - 2)
y - 4 = 2(x - 2)
y = 2x + 2
When x = 1, we have:
y = 2(1) + 2
y = 4 customers.
Furthermore, a linear equation which models the coffee shop is given by:
y = kx
Where:
k is the constant of proportionality.y and x represent the variables in a proportional relationship.k = y/x
k = 6/1
Therefore, the required linear equation which models the coffee shop is y = 6x.
When x = 1, we have:
y = 6(1)
y = 6 customers.
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Task 5
Deductions
Medicare $72.50
$310
S. Security
Fed Tax $500
State Tax $262.50
Health ins. $553
Dental $127
ins.
Steve just got a new job working at a
bank. He makes a gross annual
income of $60,000. He wants to buy a
new suit for his job, but the suit costs
$150. Can he afford it?
1: What is Steve's gross monthly income
2: Based on his deductions, what is Steve's
monthly net income
3: Based on the 5% Spending Guideline for
clothing, can he afford the suit
If Steve just got a new job working at a bank. Steve's gross monthly income is $5,000, Steve's monthly net income is $3,277 and Seve can afford the suit based on the 5% spending guideline for clothing.
How to find the gross monthly income?a. Steve's gross monthly income is
Gross income = $60,000 / 12
Gross income = $5,000
b. Steve's monthly net income
His deductions are:
Medicare: $72.50
Social Security: $310
Federal Tax: $500
State Tax: $262.50
Health insurance: $553
Dental insurance: $127
Total deductions = $72.50 + $310 + $500 + $262.50 + $553 + $127 = $1723.00
Steve's monthly net income = $5,000 - $1,723 = $3,277
c. In order to see if Steve can afford the suit using the 5% spending guideline for clothing, we need to find the 5% of his monthly net income:
5% of $3,277 = $163.85
Since the amount of $150 is less than $163.85, Steve can afford the suit based on the 5% spending guideline for clothing.
Therefore Steve's gross monthly income is $5,000, Steve's monthly net income is $3,277 and Seve can afford the suit based on the 5% spending guideline for clothing.
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Can someone help me find the value of y?
Answer:
y = 5
Step-by-step explanation:
The angle formed is a right angle which has a measure of 90 degrees. This means that the sum of the two angles is 90 degrees. Using this information we can set up an equation and solve for y
Set up equation
7y + 8 + 8y + 7 = 90
==> combine like terms
15y + 15 = 90
==> subtract 15 from both sides
15y = 75
==> divide both sides by 15
y = 5
need help! just give a strait answer! thx! :)
Answer:
6x + y
Step-by-step explanation:
Remove the parenthesis
8x−6y−2x+7y
Add like terms
(8x−2x)+(−6y+7y)
Simplify
6x+y
Answer:
(-6x-y)
Step-by-step explanation:
We would subtract like terms
2x and 8x are like terms
2x-8x = -6x
-7y and -6y
-7y+6y = -y
Giving us...
(-6x-y)
Tourism is extremely important to the economy of Florida. Hotel occupancy is an often-reported measure of visitor volume and
visitor activity (Orlando Sentinel, May 19, 2018). Hotel occupancy data for February in two consecutive years are as follows.
Occupied Rooms
Total Rooms
Current Year Previous Year
1,505
1,750
c. Conduct a hypothesis test. What is the p-value (to 4 decimals)?
What is the 95% confidence interval estimate of the change in occupancy for the one year period? To 4 decimals
The 95% confidence interval estimate of the change in occupancy for the one year period is given as follows:
(0.1441, 0.1815).
What is a confidence interval of proportions?A confidence interval of proportions has the bounds given by the rule presented as follows:
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which the variables used to calculated these bounds are listed as follows:
[tex]\pi[/tex] is the sample proportion, which is also the estimate of the parameter.z is the critical value.n is the sample size.The confidence level is of 95%, hence the critical value z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so the critical value is z = 1.96.
The percent change is given by the change divided by the initial value, hence the parameters are given as follows:
[tex]n = 1505, \pi = \frac{1750 - 1505}{1505} = 0.1628[/tex]
Hence the lower bound of the interval is of:
[tex]0.1628 - 1.96\sqrt{\frac{0.1628(0.8372)}{1505}} = 0.1441[/tex]
The upper bound of the interval is of:
[tex]0.1628 + 1.96\sqrt{\frac{0.1628(0.8372)}{1505}} = 0.1815[/tex]
Missing InformationOnly the confidence interval can be calculated as the remainder of the problem is incomplete
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129.938 + 46.07 + 38
What is the answer
Answer: 214.008
Step-by-step explanation: hope this helped :)
Show that a = n, where n is an integer.
What is the value of n?
Answer:
n = 30
Step-by-step explanation:
Since it is not a right-angle triangle, you will need to use sine or cosine rule;
We have two side lengths and the angle between, this means you need to use the cosine rule:
a² = b² + c² - 2bc.cosA
[tex]{a}^{2} = ({4 \sqrt{3} })^{2} + {( \sqrt{6} )}^{2} - 2( 4\sqrt{3})( \sqrt{6} ). \cos(45) \\ {a}^{2} = 48 + 6 - 8 \sqrt{18}(0.707...) \\ {a}^{2} = 54 - 24 \\ {a}^{2} = 30 \\ a = \sqrt{30}[/tex]
Answer:
n = 30
Step-by-step explanation:
For this question, use the cosine law formula:
[tex]a=\sqrt{c^2+b^2-2cb*cosA} \\a=\sqrt{(\sqrt{6})^2+(4\sqrt{3})^2-2(\sqrt{6})(4\sqrt{3})*cos45 }\\a =\sqrt{6+48-(8\sqrt{18})*\frac{\sqrt{2} }{2} }\\a=\sqrt{54-\frac{8\sqrt{36} }{2} }\\a=\sqrt{54-24}\\a=\sqrt{30}[/tex]
If a = [tex]\sqrt{n}[/tex], then n must be 30
someone please help !! :)
geometry : angles of polygons & parallelograms (unit 7)
Q : find the value of x
Answer:
x = 13
Step-by-step explanation:
the sum of the exterior angles of a polygon is 360°
sum the 6 exterior angles and equate to 360
3x + 6 + 41 + 6x - 5 + 4x + 7 + 62 + 7x - 11 = 360
20x + 100 = 360 ( subtract 100 from both sides )
20x = 260 ( divide both sides by 20 )
x = 13
2/3x=8
Please answer i need help
Answer:
the answer will be 19/8
Step-by-step explanation:
pls give brainlyest
the southern leaves Chicago, IL at 5:00pm arrives in Kansas City, MO at 12:30am. the distance is 565 Miles. there are no time changes. Find the average speed.
The average speed is 75.33 miles per hour.
What is speed?Speed is the ratio of distance and time.
It shows how fast an object is moving at a given time.
We have,
Distance = 565 miles
Time.
= 5:00 pm t0 12:30 am
= 7.5 hours
Now,
Average speed.
= 565 / 7.5
= 75.33
Thus,
75.33 miles per hour is the average speed.
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what is 5 to the power of 8
Answer:
your answer is going to be 390625
Step-by-step explanation:
do 5x5x5x5x5x5x5x5 and you will get 390625
What is the value of the expression 7/6-(18+27)
[tex]-\frac{263}{6}[/tex] or [tex]-43.8333.[/tex]
Step-by-step explanation:1. Write the expression.[tex]\frac{7}{6} -(18+27)[/tex]
REMEMBER TO USE PEMDAS!2. Solve the parenthesis.[tex]\frac{7}{6} -(45)\\ \\\frac{7}{6} -45[/tex]
3. Find a common denominator between the numbers.This can be done by multiplying number 45 by the denominator of the fraction (6) and adding 6 as a denominator of 45.
[tex]\frac{45}{6}*6\\ \\ \frac{270}{6}[/tex]
4. Return to the original expression and rewrite.[tex]\frac{7}{6} -\frac{270}{6}[/tex]
5. Solve the subtraction of fractions.[tex]\frac{7-270}{6}=\\ \\-\frac{263}{6}[/tex]
Since the numerator of this fraction (263) is a prime number, the fraction cannot be further simplified and it's the final result.
