The countermeasures to avoid potential human errors are Visual aids & work instructions, education and/or discipline, work standardization and discipline and TPM and skill building etc.
Many major accidents, such as Texas City, Piper Alpha, and Chernobyl, were caused by potential human error. Companies must manage human failure as rigorously as they manage technical and engineering measures to avoid accidents and illness.
There are several countermeasures for amateur or beginner mistakes. Potential human errors can be avoided by some measures including training, skill development, work standardisation, visual aids, and work instructions. Every human being makes mistakes, whether they are professional or not.
Thus, Visual aids and work instructions, education and/or discipline, work standardisation and discipline, TPM and skill building, and other counter measures are used to avoid potential human errors.
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TRUE/FALSE. a plaintiff who sues on the basis of disparate-treatment discrimination in hiring must make out a prima facie case of illegal discrimination, and will win in the absence of a legally acceptable employer defense.
A plaintiff who sues on the basis of disparate-treatment discrimination in hiring must make out a prima facie case of illegal discrimination and will win in the absence of a legally acceptable employer defense. True
Disparate treatment discrimination refers to the form of discrimination from an employer who blatantly treats an employee, or a potential employee differently based on the individual’s race, religion, color, sex, national origin, etc. It is intentional employment discrimination. A plaintiff who sues on the basis of disparate-treatment discrimination in hiring must make out a prima facie case. Prima facie case refers to a cause of action or defense that is sufficiently established by a party's evidence to justify a verdict in their favor, provided such evidence is not rebutted by the other party. The facts of the case are assumed to be true unless contradicted by evidence, hence if the plaintiff has produced sufficient evidence of their claim that the case will be decided for the plaintiff unless the defendant produces evidence to rebut it. To establish prima facie case, the plaintiff must be a member of the a protected class, must have applied and was qualified for the job in question, was rejected by the employer, and employer continued to seek applicants for the position or filled the position with a person not in a protected class. If plaintiff establishes all of this, burden now falls on employer as they must then prove their reasoning.
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Which function has no solution?.
Modulus function has no solution.
What is a function?
A unique kind of relation called a function is one in which each input has precisely one output. In other words, the function produces exactly one value for each input value. The graphic above shows a relation rather than a function because one is mapped to two different values. The relation above would turn into a function, though, if one were instead mapped to a single value. Additionally, output values can be equal to input values.
The x-values are input into the function machine. The function machine then performs its operations and outputs the y-values. The function within can be any function.
Nothing can ever be 0 in an expression of an absolute value. That is a phrase for an absolute value that has been entirely lowered and must be larger than or equal to zero.
There are no solutions to an absolute value expression if, after simplifying it, the value on the opposite side is a negative number or has a negative sign.
Hence, the Modulus function has no solution.
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Solve for x. Round to the nearest tenth of a degree, if necessary.
H
5-7
I
२०
5-4
The value of x is 46.6 degree
What is the trigonometric ratio?
Trigonometric ratios are the ratios of a right triangle's sides. The sine (sin), cosine (cos), and tangent (tan) are three often used trigonometric ratios. There are other trigonometric ratios which are reciprocals of these ratios.
Trigonometric ratios can be computed either using the provided acute angle or by calculating the ratios of the right-angled triangle's sides.
tan θ = opposite /adjacent = 5.7/5.4 = 1.0555
θ = arctan ( 1.0555 ) = 46.6 degree = x
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One day the level of the klater in the river klas 35cm above a mark. A week later it was 12cm below the mark. How far did the water level drop during the week?
If the level of the klater in the river klas 35cm above a mark. A week later it was 12cm below the mark. The water level drop during the week is 23 cm.
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 are +, -, ×, and ÷.
It is given that one day the latter's water level was 35 cm above the mark. It was 12 cm below the mark one week later.
We have to apply the subtraction operation for the given operation,
In mathematics, subtraction is defined as the difference between two quantities. The application of subtraction can be used broadly in different applications to find or solve the problems such as finding differences between two quantities and many more.
=35 - 12
=23 cm
Thus, if the level of the klater in the river klas 35cm above a mark. A week later it was 12cm below the mark. The water level drop during the week is 23 cm.
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How do you replace an equation with another?.
The algebraic approach to solving simultaneous linear equations is known as substitution method.
The value of one variable from one equation is substituted in the second equation in this procedure, as the name implies. By doing this, a pair of linear equations are combined into a single equation with a single variable, making it simpler to solve. The steps shown below can be used to find the solution to the system of two equations with two unknown values. Here, the procedure for resolving the linear equation is listed. Those are Expand the parenthesis to simplify the given equation. Either x or y must be solved for in one of the equations. Replace the step 2 solution with the other equation, then use basic arithmetic operations to solve the newly obtained problem. Finally, obtain the second value by solving the equation.
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diagram shows the position of a ship (s) and a marine base (b) the scale of the diagram is 1cm represents 20km
a) work out the real distance between the ship and the base
b)measuring the bearing of B from S
c) a fishing boat (f) is 20km from s on a bearing of 95 degrees
The real distance between the ship and the base is 35 km and the measure of the bearing of B from S would be; 70 degrees.
How to find the scale factor?Scale factor is the factor which is used to enlarge or smaller the original figure. Scale factor is the ratio of representation measurement of the figure to the original figures.
The figure represent the position of the ship(S) and the marine base(B).
a) Real distance between the ship and the base is;
When the distance from ship and the base is measured by rules. It comes out 3.5 cm.
The scale of the diagram is 1 cm, represents 10 km. Thus,
BS = 10/ 1 x 3.5
BS = 35 km
b) Measure the bearing of B from S
With the help of compass, the bearing angle of B from S is measured as the given;
Angle BSN = 70 degree
Thus, the real distance between the ship and the base is 35 km and the measure of the bearing of B from S would be; 70 degrees.
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A jacket cost 6 times as much as a winter hat.Wool gloves are $20 less than the jacket. Together it cost $84 what is the cost of all the products
The value of cost of all the product is 32.50
What is sale price ?The amount a buyer pays for a good or service is known as the selling price. It may differ based on the price that buyers are prepared to pay, the seller's acceptance threshold, and how competitive the price is in relation to those of competing companies in the market.
Formulas and Calculations for Sale Prices Percent Off Price Formula
List price - (List price x (percentage / 100)) = Discounted price
For instance, the sale price is 25% off the list price of $130.
Divide 25% by 100 to get the decimal equivalent: 25/100 = 0.25
Divide the list price by the decimal percent: 130*0.25 = 32.50
Subtract the amount of the discount from the list price: 130 - 32.50 = 97.50
Using the formula:
130 - (130*(25/100)) =
\s130 - (130*0.25) =
\s130 - 32.50 = 97.50
25% off $130 is $97.50
Formula for Fractional Off Price
List price - Discounted price (List price x fraction)
Example: The sale price is one-third of the list price of $120.
Divide the list price by the fractional discount: 120*1/3 = 40
Subtract the amount of the discount from the list price: 120 - 40 = 80
Using the formula:
120 - (120*1/3) = \s120 - 40 = 80
1/3 off $120 is $80
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The cost to manufacture a hair clip is $0. 50. With a markup of 200 percent, what is the selling price of this hair clip?.
Selling price of the hair clip with markup 200 percent and cost of $0.50 is $1.50.
As given in the question,
Cost to manufacture a hair clip is equal to $0.50
Markup percent = 200%
Let 'x' be the selling price of the hair clip.
Formula used for markup percent is:
Markup percent =( Selling price - cost ) / cost
Substitute the value we get,
⇒ 200% =( x- 0.50) / 0.50
⇒ 200/100 =( x- 0.50) / 0.50
⇒ x - 0.50 =2 × 0.50
⇒ x = $1.50
Therefore, the selling price of the hair clip with given markup percent and cost is $1.50.
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Two places X and Y on the equator are on the longitude 67°E and 123°E respectively
a) What is the distance between them along the equator?
b)How far is X from the North Pole
(take π to be 22/7 and Earth to be 6400km).
i) Distance between X and Y along the equator ≊ 6258 km
ii) Distance of X from the North pole ≊ 10057 km
What is the equator ?
The Equator is a fictitious line that circles the globe's center. The line that separates the Northern Hemisphere from the Southern Hemisphere is located halfway between the North and South Poles.
The Longitude difference = 123° - 67° = 56°
(i) Distance between X and Y along the equator
= (56/360)×2×(22/7)×6400cos(0)
= (56/360)×2×(22/7)×6400
= 6257.78 km
≊ 6258 km
(ii) Latitude difference = 90°
Distance from the North pole
= (90/360)×2×(22/7)×6400
= 10057.14 km
≊10057 km
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whole animals and plants, live specimens, and falsely labelled parts or products are all prohibited under the initial question blank 1 of 1
By the Lacey Act, it can be concluded that
Whole animals and plants, live specimens, and falsely labelled parts or products are all prohibited under the Lacey Act
What is initial Lacey Act?
There are many wild animals in United States of America that were illegally smuggled, traded or sold. Lacey Act is a conservation law which is passed in the United States of America that stops the illegal trading, smuggling and selling of these wild animals.
Whole animals and plants, live specimens, and falsely labelled parts or products are all prohibited under the Lacey Act
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the compounding periods and the payment periods are the same for an annuity and for an amortization. determine the present value of the annuity that will pay the given periodic payments. (round your final answer to two decimal places.) monthly payments of $430.80 for 6 years at 4.3% interest.
The present value of the annuity that will pay the given periodic payments is $ 332.99
since we are given a monthly payment of $430.80 for the period of 6 years with an interest of 4.3%, and it is said that the compounding periods and the payment periods are the same for an annuity and for an amortization.The formula for calculating the present value of the annuity is : FV= PV(1+i/12)¹²ⁿ, where F Vis the future value, PV is the present value, i is the interest and n is the period of time.So substituting the know values in the above formula, we get the present value to be: $ 332.99
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an undirected graph is defined to be biconnected if it is connected and has no articulation points. describe a test for biconnectedness that uses dfs. could you also use bfs to answer this question
Depth first search (DFS) is an algorithm for reversing traversing or searching tree or graph data structures.
If there are two vertex-disjoint paths connecting any two vertices, the graph is biconnected .A straightforward cycle passes through any two vertices in a biconnected graph.
If a connected graph is connected but does not have any Articulation Points, it is Biconnected .In a graph, we mostly need to check two things.
1.The chart is associated.
2.There isn't enunciation point in diagram.
DFS traversal commences at any vertex. We check to see if there is an articulation point during DFS traversal .
The graph is biconnected if no articulation points are found. Lastly, we must determine whether DFS was able to reach all vertices. The graph would not even be connected if none of its vertices could be reached.
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How many positive integers with 5 or less digits are even or divisible by 5 and do not contain any repeated digits? leading 0’s are also not allowed.
The number of 5 or fewer digits that are even or divisible by 5 and do not contain any repeated digits is 2500.
What are digits?In a positional numeral system, a numerical digit is a single sign that can be used singly or in combination to represent numbers.
A digit is a part of a set that, when combined, makes up a numeration system.
For example 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9 are digits.
The number of even digits 5 is 0,2,4,6,8.
Number of ways we can choose the first digit = 2,4,6,8 (0 cannot be taken in first)
Number of ways we can choose second, third, fourth, and fifth digits = 5
Number of ways or combinations,
4 × 5 × 5 × 5 × 5 = 2500
Hence "The number of 5 or fewer digits that are even or divisible by 5 and do not contain any repeated digits is 2500".
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indicate whether the statements are true or false. a. adverse selection occurs because of asymmetric information. true false
The given statement that Adverse selection occurs because of asymmetric information is true . Because it happens when one party have no idea about other party .
Adverse Selection:
Adverse selection generally refers to the situation in which the seller has information that the buyer does not have or, conversely, knows about aspects of the product's quality. In other words, it is a case of misusing asymmetric information. Information asymmetry, also known as information impairment, occurs when one party to a transaction has more important knowledge than the other party.
For example, corporate managers may be more willing to issue stock if they know that the stock is overvalued relative to its true value. Buyers may suffer losses by purchasing overvalued stocks. In the used car market, sellers can learn about vehicle defects and charge buyers extra fees without disclosing the problem.
A common consequence of negative selection is that consumers lack information from sellers and manufacturers, increasing costs and creating market asymmetries.
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the sugar-sweet company will choose from two companies to transport its sugar to the market.
the first company charges $5495 to rent trucks plus an additialfee of $200.75 for each ton of sugar. The second company charged $7500 to rent trucks plus an additional fee of $100.50for ech ton of sugar. For what mount of sugar do the two companies charge the same? What is the cost when the two companies charge the same?
The two companies will charge the same for 20 tons of sugar and the cost when the two companies charge the same is calculated to be $9510
The amount of sugar for which the charge will be equal can be determined by using an algebraic expression as follows;
5495 + 200.75x = 7500 + 100.50x
Here x represents tons of sugar
200.75x - 100.50x = 7500 - 5495
100.25x = 2005
x = 2005 ÷ 100.25
x = 20
Hence for 20 tons of sugar, the two companies will charge the same. Now by substituting the value of x = 20, the cost when the two companies charge the same can be determined as follows;
5495 + 200.75x = 5495 + 200.75 (20) = 5495 + 4015 = $9510
Hence $9510 is the cost when the two companies charge the same.
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the sum of two numbers is 30. when is the product of the first number multiplied by the square of the second number maximum
The two numbers required to solve the following problem are, 13.3 and 6.7
What is Derivative?
The derivative of a function of a real variable in mathematics describes the sensitivity of the function value to a change in its argument. Calculus relies heavily on derivatives.
Solution:
Let the ture positive numbers be x,(x,y>0)
x + y = 20 -------- Given
We need to maximise [tex]xy^{2}[/tex]
x = 20 - y
f(y) = (20 - y)*[tex]y^{2}[/tex]
f(y) = 20[tex]y^{2}[/tex] - [tex]y^{3}[/tex]
f'(y) = 0
On differentiating:
f'(y) = 40y - 3[tex]y^{2}[/tex]
0 = 40 - 3y
y = 13.3
x = 6.7
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Help me with this one?
Just write out the statements and reasons. thank u
Answer:
because these angles are equal to right angle triangle
What is natalie’s net income for the month of october? $930.00 $980.00 $1,930.00 $1,980.00
Answer:
1930,00
Step-by-step explanation:
Gross income - expenses = net income
match each expression to the correct point.
help please? :,)
The correct matching of a, b, and c with -6.283, -5.667, and -4.243, respectively.
What is a number line?A number line refers to a straight line in mathematics that has numbers arranged at regular intervals or portions along its width. A number line is often shown horizontally and can be postponed in any direction.
The decimal number is the sum of a whole number and part of a fraction number. The fraction number is greater than zero but less than one.
The numbers are given below.
-17/3, -2π, and -√18
Convert each number into a decimal number. Then we have
-17/3, -2π, and -√18
-5.667, -6.283, and -4.243
Then the correct matching of a, b, and c with -6.283, -5.667, and -4.243, respectively.
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Which graph represents an exponential growth?.
Answer:
Step-by-step explanation: 1 of them
Which is the range of the function?.
The Range of the function f(x) = x² is [0,∞) .
Range of the function f(x) is defined as the set of all output values of the function.
In the question,
the function is given as f(x) = x² ,
we have to find the Range of it .
So , f(x) = x² ,
on substituting the x [tex]=[/tex] -1 , we get the value of f(-1) is = 1 ,
on substituting x = 0 , we get f(0) = 0 ,
on substituting x = 1 , we get f(1) = 1.
we see that Substituting positive values as well as negative values , the result is positive .
So , the Range of the function f(x) is [0,∞) .
Therefore , the Range of x² is [0,∞) .
The given question is incomplete , the complete question is
What is the range of the function f(x) = x² ?
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In an experiment involving single-cell RNA sequencing (scRNA-seq), researchers looked at the expression levels of a particular gene measured by the amount of mRNA from that gene present in tissue samples from mice with diabetes and mice without diabetes. The data for 14 cells in each category are here: Mice with diabetes: 0.099.0.093.0.106, 0.106, 0.102, 0.107.0.103, 0.153, 0.144, 0.153, 0.155.0.152.0.152, 0.155 Mice without diabetes: 0.127,0.120, 0.118, 0.125, 0.123, 0.130.0.115,0.178, 0.175, 0.171, 0.173.0.172, 0.164, 0.170 Use R to make two normal QQ plots, one for each sample. Is it plausible the two population distributions are normal?
The population difference within the pair is normal.
The population distribution of mice with and without diabetes are identical.
mRNA population distribution for mice with diabetes is shifted relative to the population distribution for mice without diabetes.
Conclusion,
the two population has same shape , the two samples are independent simple random samples and the two samples are paired , the population means are the same .
Hence, each of the two population distribution is normal.
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[tex]2x + 3x=-3/4-1/5[/tex]
The value of variable x in the equation is as follows;
x = - 19 / 100
How to solve equations?An equation is a mathematical statement that shows that two mathematical expressions are equal.
In other words, equations are mathematical statements containing two algebraic expressions on both sides of an 'equal to (=)' sign.
Let's solve the equation for variable x.
Variables are numbers represented with letters in an equation.
Therefore,
[tex]2x+3x = -\frac{3}{4}-\frac{1}{5}[/tex]
[tex]5x = \frac{-15-4}{20}[/tex]
cross multiply
20(5x) = - 19
100x = -19
divide both sides by 100
Hence,
x = - 19 / 100
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a poker hand consists of 5 cards dealth from a deck of 52 cards. let x and y be the number of aces and kings in a poker hand. find the joint distribution of x and uy
Joint Distribution of x and y is 25.
Joint Distribution is based on joint probability, which can be simply defined as the probability of two events happening together.
We know the formula for joint distribution
F(x,y) = P(X ≤ x and Y ≤ y) = ∑∑p(xi,yi)
Here x is the number of aces and y is the number of kings in a poker hand.
That means x can take values from 0 to 4 and y can take values from 0 to 4.
∴ F(x,y) = P(X ≤ 4 and Y ≤ 4)
⇒ F(x,y) = p(0,0) + p(0,1) + p(0,2) + p(0,3) + p(0,4) + p(1,0) + p(1,1) + p(1,2) + p(1,3) + p(1,4) + p(2,0) + p(2,1) + p(2,2) + p(2,3) + p(2,4) + p(3,0) + p(3,1) + p(3,2) + p(3,3) + p(3,4) + p(4,0) + p(4,1) + p(4,2) + p(4,3) + p(4,4).
To find all these values we will construct a table as follows;
P(x,y) Y=0 Y=1 Y=2 Y=3 Y=4
X=0 0 1/4 1/2 3/4 1
X=1 1/4 1/2 3/4 1 5/4
X=2 1/2 3/4 1 5/4 3/2
X=3 3/4 1 5/4 3/2 7/4
X=4 1 5/4 3/2 7/4 2
Now the joint distribution will become,
F(x,y) = 0 + 1/4 + 1/2 + 3/4 + 1 + 1/4 + 1/2 + 3/4 +1 + 5/4 + 1/2 + 3/4 + 1 + 5/4 + 3/2 + 3/4 + 1 + 5/4 + 3/2 + 7/4 + 1 + 5/4 + 3/2 + 7/4 + 2
F(x,y) = 25
Therefore the joint distribution of x and y is 25.
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a couple has three children. assuming each child has an equal chance of being a boy or a girl, what is the probability that they have at least one girl? a. 1 b. .125 c. .5 d. .875
Answer:
d. 0.875
Step-by-step explanation:
Having at least 1 girl out of 3 children means that there can be 1, 2 or 3 girls out of the 3 children.
So having at lest 1 girl out of 3 children is the same as saying that all 3 children are not boys.
The probability that all 3 children are boys would be
chance that child 1 is a boy * chance that child 2 is a boy * chance that child 3 is a boy = 0.5 * 0.5 * 0.5 = 0.125
And the probability that NOT all 3 children are boys would be
100% - probability that all 3 children are boys = 1 - 0.125 = 0.875
(a) calculate the angular momentum of the earth in its orbit around the sun. (b) compare this angular momentum with the angular momentum of earth on its axis.
The angular momentum of the earth in its orbit around the sun is compared with the angular momentum of earth on its axis as below :
Earth's radius is 6.38 x 106 meters, its mass is 5.97 x 1024 kg, and its orbital radius is 1.5 x 1011 meters. The period of the earth's rotation is 24 hours, or 86400 seconds. The period of its revolution is one year, or 3.156 x 107.
Finding the angular momentum entails
L = mE x r2 x w L = 2.6742 x 1040kg.m2.s-1
I= 2/5M.R2 L8= 7.07 x 1023kg.m2.s-1 for a homogeneous sphere with mass M, radius R, and an axis through its center.
Earth's angular momentum in a circular orbit around the sun is measured at Li=2.6742 x 1040 kg.m2.s-1.
Given that the radius of the planet is so small in comparison to the distance from the sun, it makes sense to model the earth as a particle.
L8= 7.07 x 1023 kg.m2.s-1 is the size of the earth's angular momentum as a result of its revolution around an axis passing through the north and south poles.
Parameters and Calculations:
Earth's mass, mE, is 5.97 x 1024 kg, and its radius, R,
the earth's orbital parameters are as follows: RE= 6.38 x 106 m, r= 1.5 x 1011 m, t=24h = 86400 s, and t=1 year = 3.156 x 107
Finding the angular momentum entails
L=mexr2xw where
L = 2.6742 x 10-40 kg/m2/s-1
For a homogeneous sphere with mass M, radius R, and a central axis,
I= 2/5M.R^2
L8 = 7.07 x 1023 kg/m2/s-1
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Present age of nick is 8 years and Jonas age is 14 years. What fraction of Jonas age represent the age of nick after 6 years?
Answer:
70%
Step-by-step explanation:
Nick now: 8
Jonas now: 14
Nick in 6 years: 8 + 6 = 14
Jonas in 6 years: 14 + 6 = 20
percent = part/whole × 100%
percent = 14/20 × 100%
percent = 0.7 × 100%
percent = 70%
Solve for f.
–(f + –8) = –1
Answer:
[tex]\huge\boxed{\sf f = 9}[/tex]
Step-by-step explanation:
Given Equation:-(f + -8) = -1
Distribute
-f + 8 = -1
Subtract 8 to both sides
-f = -1-8
-f = -9
Divide -1 to both sides
f = 9[tex]\rule[225]{225}{2}[/tex]
Explain why, when solving absolute value equations, you must set up both the positive and the negative equations.
Both the positive and the negative equations are set up to check the same distance from zero.
Absolute value refers to the distance of a number from zero regardless of the direction, which is indicated by the signs (positive if to the right of zero, and negative if to its left).
When solving absolute value equations, we must provide all possible answers that are of the same distance from zero. That means solving for the positive equation, which gives us the number to the right of zero, as well as solving for the negative equation, which gives us the number to the left of zero with the given distance (absolute value).
Therefore, both the positive and the negative equations are set up to check the same distance from zero.
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Wo familie viited an amuement park. The firt family bought 4 hot dog and 6 bottle of water, which totaled $22. The econd family bought 8 hot dog and 3 bottle of water, which totaled $35. How much did one hot dog cot?
The cost of one hot dog would be $4 and the cost of one water bottle would be $1.
What are the linear equations in two variables?
A linear equation in two variables is one that is written in the form ax + by + c=0, where a, b, and c are real numbers and the coefficients of x and y, i.e. a and b, are not equal to zero. For example, 10x+4y = 3 and -x+5y = 2 are two-variable linear equations.
Let the cost of one hot dog be 'x' dollars and the cost of one water bottle be 'y' dollars.
By using the given data, we can prepare the equations
4x + 6y = 22 ------(I)
8x + 3y = 35------(II)
Multiplying equation(I) and taking subtraction, we get
9y = 9
y = 9/9
y = 1
Put y = 1 in equation (I), and we get
4x + 6 = 22
4x = 22 - 6
4x = 16
x = 4
Hence, the cost of one hot dog would be $4 and the cost of one water bottle would be $1.
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