b. in the below figure, the system has been balanced using lean techniques to meet the takt time as much as possible and the facility works 1 shift of 8 hours with two 15 min breaks, what is the daily demand?
Answers
The system has been balanced using lean techniques to meet the takt time as much as possible and the facility works 1 shift of 8 hours with two 15 min breaks, so the daily demand is 2700 units / day.
In the given question, the system has been balanced using lean techniques to meet the takt time as much as possible and the facility works 1 shift of 8 hours with two 15 min breaks.
We have to find the daily demand.
The figure is given below:
Total operating time of the facility = 8 hours - 2 breaks of 15mins each
Total operating time of the facility = 480 mins - (2*15 mins)
Total operating time of the facility = 480 mins - 30 mins
Total operating time of the facility = 450 minutes.
Time taken for 1 output = Cycle time of system = Bottleneck of the supply-demand matched process = 10 seconds.
Total output = Total operating time / Time taken for 1 output
Total output = 450 minutes / 10 seconds
Total output = 2700 units / shift.
Since the market's demand and operational time are in balance, all production is created using the pull principle.
That means; Supply = demand.
Therefore the market demand for the product = 2700 units / day.
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Related Questions
12. If p II 9, solve for x.
Answers
The value of x for the given triangle by a similar triangle rule will be 5.
What is symmetry?If two figures look an exact shape but their size could be small or big then both figures are called similar figures.
When anything has identical pieces facing one another or revolving around an axis, it is said to be symmetrical.
As per the given triangles,
By a similar triangle rule,
(2x - 8)/(5x - 19) = (x + 2)/(3x + 6)
(2x - 8)/(5x - 19) = (x + 2)/3(x + 2)
(2x - 8)/(5x - 19) = 1/3
6x - 24 = 5x - 19
x = 5
Hence "The value of x for the given triangle by a similar triangle rule will be 5".
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prove that for every positive integer n, there are n consecutive composite integers. [hint: consider the n consecutive integers starting with (n 1)! 2.]
Answers
It is proved that, for every positive integer n, there are n consecutive composite integers.
Given statement,
For every positive integer n, there are n consecutive composite integers.
Proof:
Assume that m is less than n and that both m and n are positive integers. When m is less than n,
n! = 1 ⋅ 2 ⋅ 3 ⋅ ⋅ ⋅ m ⋅ ⋅ ⋅ n,
which is to say that m is a factor of n!
So,
m + n! = m + ( 1 ⋅ 2 ⋅ 3 ⋅ ⋅ ⋅ m ⋅ ⋅ ⋅ n )
= m ((1 ⋅ 2 ⋅ 3 ⋅ ⋅ ⋅ m ⋅ ⋅ ⋅ n) / m + 1)
Since m is a multiple of n!, n!/m is still an integer. Since the integer m is bounded between 1 and n, it follows that any number you choose up to n can divide m + n!, making it composite until the nth integer.
However, since n! contains the nth integer, the nth integer is also composite, meaning you can choose any integer between 1 and n inclusively and it will be composite.
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a study done on a marriage counseling course showed that the proportion of couples for which the communication program can prevent divorce is . suppose we have strong reason to believe the proportion is less than , and we carry out a hypothesis test. state the null hypothesis and the alternative hypothesis that we would use for this test.
Answers
The null hypothesis we get H₀: P≥ 77% and H₁: P< 77% when According to a study on a marriage counselling course, 77% of couples can avoid divorce.
Given that,
According to a study on a marriage counselling course, 77% of couples can avoid divorce with the help of a communication programme. Suppose we do a hypothesis test because we have good reason to assume the proportion is lower than 77%.
We have to describe the alternative hypothesis H₁ and the null hypothesis H₀ that we would employ in this test.
We know that,
According to the task we can say that,
From the definition we can say,
H₀: P≥ 77%
H₁: P< 77%
Therefore, the null hypothesis we get H₀: P≥ 77% and H₁: P< 77% when According to a study on a marriage counselling course, 77% of couples can avoid divorce.
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How do you prove that congruent angles are equal?.
Answers
Two angles are considered to be congruent if their measures match. You are already aware that the vertical angles created when two lines connect are congruent.
A = B if A and B are both complements of C. We should investigate additional angle correlations. When you reveal these angle correlations, you will formally prove their veracity. For instance, you were given the concept of an angle bisector. It turns out that an angle's bisector separates it into two angles, each of which has a measure equal to half that of the original angle.Two angles are considered to be congruent if their measures match. You are already aware that the vertical angles created when two lines connect are congruent.
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In rhombus ABCD , DB = 16 and AC = 12 What is the perimeter of rhombus ABCD
Answers
Answer:
40
Step-by-step explanation:
You can always look it up but that is the answer
What is the common multiple of 14 and 28?.
Answers
The common multiple of 14 and 28 is 28.
Common multiple:
A common multiple is defined as a whole number, a shared multiple of each set of numbers. The multiples common to two or more numbers are called the common multiples of those numbers.
Here we have to find the common multiple of 14 and 28.
Data given:
Two numbers = 14 and 28
We can also write these numbers as:
14 = 2 × 7
28 = 2² × 7
The common multiple of these numbers is 2² × 7
Therefore the common multiple of these numbers is 28.
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What was the results of the Bonus March?.
Answers
Answer:
Step-by-step explanation:
The correct option is “C” protesters were driven out by force.
This is after President Hoover ordered an army regiment into the city to quash their protests. Under the leadership of General Douglas MacArthur, the army, rolled into Anacostia Flats forcing the Bonus Army to flee
Write the following as a number: minus one thousand, eight hundred and five point nine six.
Answers
The final number is a decimal number which is equal to -1805.96.
It is given to us that the set of expression is given by -
minus one thousand, eight hundred and five point nine six.
We have to write the given expression as a number.
According to the given information we see that there is a "point" word in the expression. This implies that the final number will be a decimal number.
So, from the given information, we can represent the number as -
-1805.96
Thus, the final number is a decimal number which is equal to -1805.96.
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An archaeologit i roping off a rectangular region of land to dig for artifact. The region mut have a perimeter of 440 feet and an area of at leat 8500 quare feet. Decribe the poible length of the region
Answers
The possible length of the region after solving the quadratic equation is either 170ft or 50ft.
What is a quadratic equation?
A quadratic equation in algebra is any equation that can be written in the simpler form where x stands for an unknown value and a, b, and c are known quantities. The assumption is that a > 0; an equation with a = 0 is thought to be degenerate because they become linear or even simpler.
Solution Explained:
Lets assume, length = x and width = y
So we know, the area and perimeter is supposed to be 8500 and 440 respectively
we form the equations,
1) 8500 = xy , and [Area = length*width]
2) 440 = 2(x + y) [ Perimeter = 2(length +width)]
220 = x + y
So, x = 8500/y (from equation 1) and put the value of x in 2
220 = x + (8500/x)
After solving this we get the quadratic equation,
x^2 - 220x + 8500 = 0
Solving the equation, we get
x = 170 or, x = 50 which are the two possible lengths of the region.
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the shopping times of 64 randomly selected customers at a local supermarket were recorded. the average and variance of the 64 shopping times were 33 minutes and 256, respectively. compute a 90% confidence interval for the true population mean
Answers
The shopping times were recorded for 64 randomly selected customers from a local supermarket. The average and variance of the 64 shopping times were 33 minutes and 256, respectively.
Estimate the true average shopping time per customer, with a confidence coefficient of 1- = 0.90.
x-bar = 33 min
ME = 1.645 = 3.29
90% CI: 33-3.29 < u < 33+3.29
Population Means – You can use this calculator to find the confidence interval for your sample mean if you are estimating the mean of a population trait (e.g., the mean blood pressure of a group of patients).
The estimate is your "best guess" at the unknown mean, and the confidence interval displays how reliable the estimate is. You may determine a range of values within which the population mean is expected to fall using the confidence interval.
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The 90% confidence interval is ( 992.053088, 1119.946912 ).
Mean is defined as the average of given numbers i.e. sum of all numbers divided by the total number of numbers. The Mean is denoted as m or μ. Standard deviation is the measure which it shows the variation from the mean exists or not. The standard deviation is denoted as σ. The subset chosen from the larger set to make assumptions is known as a random sample. A range of values is a confidence interval.
As per the question,
Number of customers ( n ) = 64mean ( μ ) = 33 minutesStandard deviation ( σ ) = 256 minutes⇒ degree of freedom ( df ) = n - 1
= 64 - 1
df = 63
⇒ α = 0.05
⇒ t = 1.998341 ( Calculated using excel functions )
At 90% confidence, the confidence interval is
( μ - t ) ( s / √n ) ≤ x ≤ ( μ + t ) ( s / √n )
( 33 - 1.998341 ) ( 256 / √64 ) ≤ x ≤ ( 33 + 1.998341 ) ( 256 / √64 )
( 31.001659 ) ( 256 / 8 ) ≤ x ≤ ( 34.998341 ) ( 256 / 8 )
( 31.001659 ) ( 32 ) ≤ x ≤ ( 34.998341 ) ( 32 )
992.053088 ≤ x ≤ 1119.946912
Therefore, ( 992.053088 ≤ x ≤ 1119.946912 ) is the 90% confidence interval for the true population mean.
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if the length of one side of a square is increased by 1 inch and that of another side is diminished by 2 inches, a rectangle is formed whose area is 180 inches. find the length of a side of the square
Answers
The length of the square is 9 inches when a rectangle with a surface area of 180 inches is created by lengthening one side of a square by 1 inches and shortening another by 2 inches.
Given that,
A rectangle with a surface area of 180 inches is created by lengthening one side of a square by 1 inches and shortening another by 2 inches.
We have to find the square's side length should be determined.
We know that,
Let us take the length of the square as x.
So,
The length of one side of a square is increased by 1 inch means
x+1
The length of other side of the square is diminished by 2 inch to form a rectangle means
2x
The area of the rectangle is length × breath.
180=(x+1)(2x)
2x²+2x-180=0
x²+x-90=0
x²+10x-9x-90=0
x(x+10)-9(x+10)=0
(x+10)(x-9)=0
We get,
x+10=0 ⇒ x=-10
x-9=0 ⇒ x=9
The length can not be negative so x=9
Therefore, The length of the square is 9 inches when a rectangle with a surface area of 180 inches is created by lengthening one side of a square by 1 inches and shortening another by 2 inches.
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What are the 3 linear functions?.
Answers
Answer:
point-slope form, standard form, and slope-intercept form
Step-by-step explanation:
The three main types of linear functions are: point-slope form, standard form, and slope-intercept form.
Here is an image with each form
a school counselor wants to compare the effectiveness of an online sat preparation program with an in-person sat preparation class. for an experiment, the counselor recruits 30 students who have already taken the sat once. the response variable will be the improvement in sat score. select all true statements. the completely randomized design is preferred the completely randomized design is better because it eliminates bias by considering all students to be equal at the start of the experiment. the matched pair design is preferred students who did not score well the first time they took the exam may benefit greatly from the class. by matching students by initial score, we can account for the variability in improvement that is introduced by the variability in student ability, making it easier to determine which program is more effective. students who scored well on the exam initially may not have much room for improvement even if the treatments are effective.
Answers
The correct statements for comparing the effectiveness of the SAT preparation program are the 3rd, 4th, 5th, 6th statements.
The statements in order are
The completely randomized design is preferredThe completely randomized design is better because it eliminates bias by considering all students to be equal at the start of the experimentThe matched pair design is preferredStudents who did not score well the first time they took the exam may benefit greatly from the classBy matching students by initial score, we can account for the variability in improvement that is introduced by the variability in student ability, making it easier to determine which program is more effectiveStudents who scored well on the exam initially may not have much room for improvement even if the treatments are effectiveSince, school counselor want to compare effectiveness of SAT preparation program with response variable will be the improvement in SAT score.
We can consider this as a improvement assessment, so that the initial abilities of each student will be different. With this we can see the improvement from student with bad initial score, and for the student that has a good score in initial exam they barely to have improvement.
For example student A have initial score 600 and student B have initial score 1300 after preparation program student A have final score 1200 and student B have final score 1350. In the example, we can see 200% improvement from student A and only 4% improvement from student B.
Also, with matching pair design that based on variable, we can see the variability in improvement making it easier to know the effectiveness of SAT preparation program than the randomized design.
Thus, the correct statements is the 3rd, 4th, 5th, 6th statements.
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in order to test if the mean from population a is greater than the mean from population b what kind of t-test would you use?
Answers
According to the given statement the option B and C are correct:
b) unpaired t-test
c) one-sample t-test
Briefing:We will apply an unpaired test in this situation because both populations are independent and unrelated to one another, making it impossible to pair the data from the two populations.
Consider the statement, "The mean from population A is bigger than the mean from population B," for example. This suggests that we'll utilize a single-tailed, unpaired test. Therefore, option d and b may be the best pairing.
What exactly is a one-sample t-test?To ascertain whether an unknown population mean differs from a given value, the one-sample t-test is a statistical hypothesis test.
What distinguishes a t-test with one sample from one with two samples?The t-value is calculated using your sample data from the two groups and the 2-sample t-test. The procedure is quite comparable to the 1-sample t-test, and the signal-to-noise ratio can still be compared. The 2-sample t-test necessitates independent groups for every sample, unlike the paired t-test.
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The complete question you are looking for is:
In order to test if the mean from Population A is greater than the mean from Population B what kind of t-test would you use? (can be any combination of answers)
a) two-tailed t-test
b) unpaired t-test
c) one-sample t-test
d) one-tailed t-test
e) paired t-test
How do I do this x/12+1=x/3-x/4 and this is for solving linear equations.
Answers
Answer:
no solution
Step-by-step explanation:
You want to solve the equation x/12+1=x/3-x/4.
SolutionThere are a couple of ways you can solve this. If you're intimidated by the fractions, you can get rid of them by multiplying the equation by a common denominator. In this case, multiplying by 12 gives ...
x +12 = 4x -3x . . . . . . original equation multiplied by 12
x +12 = x . . . . . . . . . . simplified
12 = 0 . . . . . . . . . . . . subtract x from both sides
This equation is plainly false. No value of x will make it be true.
The given equation has NO SOLUTION.
Alternate solutionYou can do the arithmetic with the coefficients as they are:
x/12 +1 = x(1/3 -1/4)
x/12 +1 = x/12
1 = 0 . . . . . . . . . . subtract x/12; false
The equation has NO SOLUTION.
__
Additional comment
It is a good idea to become comfortable doing arithmetic with numbers however you find them: integers, fractions, mixed numbers, decimals, percents, scientific notation.
A decent calculator can help, if you need it. Modern graphing calculators are fully capable of working with mixed numbers, fractions, percents, and scientific notation. Any spreadsheet can do this, too.
There are very good inexpensive or free apps for phone and tablet that provide all the capability of a good graphing calculator.
Use the figure below to answer the question.
Complete the statement: Angle GHI measures _____degrees
Answers
An angle GHI measures 28° degrees.
What is the angle sum property of a triangle?
The triangle's inner angles can be added up to 180°, according to the triangle's "angle sum property."
For example, in a triangle, ABC, the sum of angles A, B, and C will be 180°.
Given, ∡G = 62°
∡I = 90° and ∡ H = ?
From the angle sum property of a triangle,
∡G + ∡ H + ∡I = 180°
or, 62° + ∡ H + 90° = 180°
or, ∡ H + 152° = 180°
or, ∡ H = 180° - 152° = 28°
or, Angle GHI = 28°
Hence, the required value of Angle GHI is 28°.
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Mr. Starnes and his wife have 6 grandchildren: Connor, Declan, Lucas, Piper, Sedona, and Zayne. They have 2 extra tickets to a holiday show, and will randomly select which 2 grandkids get to see the show with them. Give a probability model for this chance process.
Answers
Probability model for this chance process is:
P(X=2) = [tex]6_C_2*(1/6)^2*(1-1/6)6-2[/tex]
Given:
Mr. Starnes and his wife have 6 grandchildren: Connor, Declan, Lucas, Piper, Sedona, and Zayne. They have 2 extra tickets to a holiday show, and will randomly select which 2 grandkids get to see the show with them.
Using binomial distribution:
We are given that there are 6 grand children and 2 of them are needed to picked.
Let number of grandchildren to be choose is X.
Every children has equal chance to get selected, therefore Probability for everyone is 1/6.
P(X) = Bino(6,1/6)
P(X) = [tex]6_C_X*(1/6)^X*(1-1/6)^{6-X}[/tex]
P(X=2) = [tex]6_C_2*(1/6)^2*(1-1/6)^{6-2[/tex]
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Describe how you would evaluate the numerical expression 48 {[2 x (1 + 3)] + 4}
Answers
Answer:
576
Step-by-step explanation:
48 {[2 x (1 + 3)] + 4}
48 ((2x4)+4)
48(8+4)
48 x 12
= 576
the attention span of a two-year-old is exponentially distributed with a mean of about 8 minutes. suppose we randomly survey 60 two-year-olds.
Answers
The mean has a value of 8 minutes and a standard deviation of 0.9736.
What is mean?The sum of a set of numbers divided by the total number of numbers in the set is known as the arithmetic mean or arithmetic average in mathematics and statistics. The average of a group of variables is referred to as the mean in mathematics and statistics. There are several methods for calculating the mean, including basic arithmetic means (adding the numbers together and dividing the result by the number of observations), geometric means, and harmonic means.
Here,
X= attention span of the 2 year old
μ=8
σ=8
m=1/8
X=exp(1/8)
mean=N(8,8/√60)
Mean is normally distributed with value about 8 minutes and difference being 0.9736.
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Which is higher? Determine if I or II is higher or if they are equal. Explain your reasoning. For a regression line, the uncertainty associated with the slope estimate, b1, is higher when
I. there is a lot of scatter around the regression line or
II. there is very little scatter around the regression line
Answers
b1, is higher when: I. there is a lot of scatter around the regression line.
I is higher. The more scatter around the regression line, the higher the uncertainty associated with the slope estimate, b1. If there is a lot of scatter, the estimated slope is less reliable than if there is very little scatter.
The uncertainty associated with the slope estimate, b1, is higher when there is a lot of scatter around the regression line. This is because the estimate of the slope is based on the data points, and when there is a lot of scatter, the data points are more spread out and the estimate of the slope is less reliable.
The Importance of Scatter in Regression AnalysisIn regression analysis, the scatter of data points around the regression line is important in determining the uncertainty of the slope estimate. When there is a lot of scatter, the data points are more spread out and the estimate of the slope is less reliable. This is because the estimate of the slope is based on the data points, and when there is more scatter, the data points are more spread out and the estimate of the slope is less reliable.
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Is cube short for cubicle?.
Answers
In short form we can write the word Cubicle as a word, Cube. However, both the words can be used for different purposes or having different interpretation.
Given, a word Cubicle
we have to write the given word in short form.
now to write any word in short form, we have to make its length or abbreviate the word.
As, the word is Cubicle.
Then, the word Cubicle can be written in as Cube in short form.
However, both the words can be used for different purposes or having different interpretation. Such as, Cube is used for a Particular shape or figure in Geometry i.e. the 3-D shape of the cube. Whereas, Cubicle is used for the small small cabins of the employees in the corporate offices.
Hence, the word Cubicle can be written in as Cube in short form, but may be with different meaning.
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William bought a photocopier and supplies for $162. 50, which will allow him to make copies for $0. 12 each. A photocopy store charges $0. 21 for each copy. How many copies must william make before his total cost is less than getting copies made at the photocopy store?.
Answers
William must make 1806 copies before his total cost is less than the photocopy store.
Let William made x copies from his home photocopier.
Now total cost of x copies = 0.12 x + 162.5
Total cost of x copies from the store = 0.21 x
Now his cost needs to be lower, so we form an inequality to solve this problem.
0.12x + 162.5 < 0.21x
or, 0.12x - 0.21x < -162.5
or, -0.09x < -162.5
or, x > 1805.56
Hence the minimum value of x will be 1806.
Therefore we can say that he needs to make at least 1806 copies.
The two sides of a mathematical equation having an inequality must be equal. In inequality, we compare several values in contrast to equations. The equal sign can be substituted with the less than (or less than as well as equal to), larger above (or greater to), or is not equal to signs.
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Write an equation dor thi math problemfAt one tore a trophy cot $12. 50. Engraving cot $0. 40 per letter. At another tore, the ame trophy cot $14. 75. Engraving cot $0. 25
Answers
The equation we get from the given information that is one award that cost $12.50 was torn. Each letter costs $0.40 to engrave is 2.25x - 0.15y=0.
Given that,
We have to compose an equation for this math issue. One award that cost $12.50 was torn. Each letter costs $0.40 to engrave. The identical trophy cost $14. 75 at another location. Cost of engraving: $0.25
We know that,
Let us take the,
Trophy cot as x and engraving cot as y
We can write as
12.5x+ 0.4y= 14.75x+ 0.25y
12.5x- 14.75x+ 0.4y -0.25y=0
-2.25x + 0.15y=0
2.25x - 0.15y=0
Therefore, The equation we get from the given information that is one award that cost $12.50 was torn. Each letter costs $0.40 to engrave is 2.25x - 0.15y=0.
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(1 point) a street light is at the top of a 16 foot tall pole. a 6 foot tall woman walks away from the pole with a speed of 4 ft/sec along a straight path. how fast is the tip of her shadow moving when she is 30 feet from the base of the pole?
Answers
The tip of the shadow is moving at [tex]4.8\frac{ft}{sec}[/tex]
Consider the image , as depicted below
Based on similar triangle , we have
[tex]\frac{s(t)}{6} =\frac{s(t)+w(t)}{16}[/tex]
⇒ 10s(t) = 6w(t)
⇒ w(t) = [tex]\frac{10}{6} s(t)[/tex]
we are told that a certain time t,
[tex]\frac{d(w(t))}{dt} = 8\frac{ft}{sec}[/tex]
[tex]\frac{d(w(t))}{dt} = \frac{d(\frac{10}{6}.s(t)) }{dt}[/tex]
[tex]= \frac{10}{6}\frac{d(s(t))}{dt}[/tex]
Therefore,
[tex]\frac{10}{6} \frac{d(s(t))}{dt} = 8\frac{ft}{sec}[/tex]
[tex]\frac{d(s(t))}{dt} = 4.8\frac{ft}{sec}[/tex]
Hence, The tip of the shadow is moving at [tex]4.8\frac{ft}{sec}[/tex]
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Tony is putting money into a checking account. Let represent the total amount of money in the account (in dollars). Let represent the number of Tony has been adding money. Suppose that and are related by the equation . Answer the questions below. Note that a change can be an increase or a decrease. For an increase, use a positive number. For a decrease, use a negative number. What was the starting amount of money in the account? s What is the change per in the amount of money in the account?
Answers
Weekly change: 40
Initial investment: 450
Given that,
Tony is transferring funds to his checking account. Let y signify the overall balance of the account's funds (in dollars). Let x be the quantity Bill has been adding money for in weeks. Assume that 40x+450=y represents the equation between x and y.
Given that x is the number of weeks Bill added money, this indicates that he was depositing $40 into the account every week.
Because x denotes the number of weeks he was contributing money and x is by 40, not 450, the initial amount was 450.
Therefore, Weekly change: 40 and Initial investment: 450
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andre lives with his wife and three children. approximately how many pounds of municipal solid waste does andre and his family generate each day?
Answers
If andre lives with his wife and three children. 22 pounds of municipal solid waste his family generates each day.
What is population density?It is defined as the ratio of the population to the total area. The population density represents the average number of people living in each square unit.
It is given that and lives with his wife and three children.
We have to find the mass of municipal solid waste Andre and his family generate each day.
From the data research 22 pounds of municipal solid waste, his family generates each day.
Thus, if Andre lives with his wife and three children. 22 pounds of municipal solid waste his family generates each day.
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Given m || n, find the value of x and y.
po
(2x+10)
(8x-20)°
m
n
Answers
The value of x and y is 19 and 132.
What is equation?
There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two expressions 3x + 5 and 14, which are separated by the 'equal' sign. Mathematical algebraic equations typically have one or more variables. More than one variable may be present in a linear equation. An equation is said to be linear if the highest power of a variable is consistently 1. Another name for it is a one-degree equation.
Sol- as per the given question y= 8x -20
We have to add the equations
(2x+10)° + (8x-20)°= 180°
= (10x-10)° = 180°
= (10x)° = 190°
= X= 19
= Y = 8.19-20 = 132
Thus,
X = 19 and Y = 132.
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Given m n, find the value of x.
(x+20)°
(4x-5)°
Answers
∠(x+20)° and ∠(4x-5)° are the same side interior angles or supplementary angles thus x will be 33.
What is an angle?An angle is a geometry in plane geometry that is created by 2 rays or lines that have an identical terminus.
The identical endpoint of the two rays—known as the vertex—is referenced as an angle's sides.
As per the given angles,
∠(x+20)° and ∠(4x-5)° are supplementary angles.
∠(x+20)° + ∠(4x-5)° = 180°
x + 20 + 4x - 5 = 180
5x + 15 = 180
5x = 165
x = 33
Hence "∠(x+20)° and ∠(4x-5)° are the same side interior angles or supplementary angles thus x will be 33".
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How much is two third?.
Answers
The two third can be written as 2/3 which in decimal means 0.6667 and when expressed as a percentage it is 66.67%
A fraction is a part of a whole. In arithmetic, the number is expressed as a quotient, in which the numerator is divided by the denominator.
The two third can be written as 2/3. It basically means 2 parts of 3 total parts. Here the numerator is 2 and demominator is 3.
It can be written in decimal as 2/3 = 0.666
This is an irrational fraction when converetd into decimal system, it becomes a recurring decimal.
The equivalent fraction of 2/3 is 4/6 or 20/30 etc
Therefore, The two third can be written as 2/3 which in decimal means 0.6667 and when expressed as a percentage it is 66.67%
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Is a quadratic function linear or nonlinear?.
Answers
A Quadratic function is non-Linear.
Answer:
nonlinear
Step-by-step explanation:
Quadratic functions are non-linear. A linear function produces a straight line while a quadratic function produces a parabola
