True. The pessimistic approach assumes that the worst-case scenario for each alternative will occur and chooses the best of these.
An optimistic approach indicates that the decision-makers believe the outcomes will benefit the organisation. A pessimistic approach, on the other hand, indicates that the decision-makers are convinced that the outcomes will be detrimental to them. The pessimistic approach allows decision-makers to plan for the worst-case scenario. In the optimistic approach, decision-makers believe that the alternatives chosen will produce the best results. In other words, the decision-makers are confident that their options are the best for the circumstances. The pessimistic approach is characterised by decision-makers assuming that the choices they make will have the most negative outcomes.
Thus, the pessimistic approach is the approach which is used to assume the worst possible outcomes for each alternative will occur.
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The amount of time Alex spent on his math
homework was 9 minutes less than twice the
amount of time it took him to complete his science
homework. If it took him 1 hour and 15 minutes
total to complete his math and science
homework, how long did he spend on his math
homework?
The answer to this Question based on Linear equation is 28 and 45
What is Linear Equation?
It is a equation in which the degree of each and every variable is 1 only is called linear equation
Solution:
Let the time taken to complete maths homework be x and time to complete science homework be y
first we know that total time taken was 1 hr 15 minutes means 75 minutes which in turn means x + y = 75
and from 2nd relation that we are given
x = 2y - 9
now we got the 2 linear equations now we just need to solve them to get our final answer
putting this equation in first equation we got we get
2y - 9 + y = 75
3y - 9 = 75
3y = 84
y = 28
and hence x = 2y - 9
x = 56 - 9
x = 45
hence time to complete maths was 45 minutes and time to complete science is 28 minutes
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Which inequality represents this statement?
A number is no more than 5.
On≤5
On 25
On>5
On <5
The inequality represents a number no more than 5 is n < 5.
What is inequality?
In mathematics, inequalities describe the relationship between two values that are not equal. Equal means to be equal, not. The "not equal symbol (≠)" is typically used to indicate that two values are not equal. But different inequalities are used to compare the values to determine whether they are less than or greater than.
We have to find which inequality represents a number no more than 5.
Consider, the first inequality n ≤ 5.
This inequality contain 5 and less numbers.
Consider the second inequality n ≥ 25
This inequality contain numbers 5 and more
For n > 5
This inequality contain numbers more than 5.
For n < 5
This inequality does not contain number more than 5.
Hence, the inequality represents a number no more than 5 is n < 5.
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A penny collection contains twelve 1967 pennies, seven 1968 pennies, and eleven 1971 pennies. If you are to pick some pennies without looking at the dates, how many must you pick to be sure of getting at least four pennies from the same year?.
Answer:
Pick at least four pennies to be sure of getting at least four pennies from the same year.
Step-by-step explanation:
To be sure of getting at least four pennies from the same year, you would need to pick at least four 1967 pennies, four 1968 pennies, or four 1971 pennies. Since these are the three smallest groups of pennies, you would need to pick at least four pennies to be sure of getting at least four pennies from the same year.
if 13 cards are randomly selected from a standard 52-card deck, must at least 2 be of the same denomination (2, 3, 4, , j, q, k, a)? why? (select all that apply.)
No. For example, thirteen hearts could be selected: 2, 3, 4, 5, 6, 7, 8, 9, 10, J, Q, K, A. No two of these are of the same denomination.
What is a denomination?
A denomination is a classification system that identifies the nature or worth of an object. Denomination frequently relates to currency.
Here, we have
13 cards are randomly selected from a standard 52-card deck.
This is not necessary.
All 13 cards may be of different denominations.
At least 2 need not be of the same denomination.
Hence, thirteen hearts could be selected: 2, 3, 4, 5, 6, 7, 8, 9, 10, J, Q, K, A. No two of these are of the same denomination.
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help please, which pic is it a, b, c or d?
Answer:
top right graph
Step-by-step explanation:
Having a zero at 3 means that the y coordinate is 0 when the x-coordinate is 3.
A y-intercept of 9 means it includes the point (0, 9).
Answer: top right graph
Work out the area of the tapezium ABDE.
The area of the trapezium, if CD = 8 cm, BD = 6 cm, AE = 9 cm, is 30 cm².
What is area?The measurement that expresses the size of a region on a plane or curved surface is called an area. Surface area refers to the area of an open surface or the boundary of a three-dimensional object, whereas the area of a plane region or plane area refers to the area of a form or planar lamina.
Given:
CD = 8 cm,
BD = 6 cm,
AE = 9 cm,
Here you can see that the triangle AEC and triangle BDC are similar, so the ratio of sides of a triangle are also equal,
BD / AE = CD / CE
6 / 9 = 8 / CE
CE = 9 × 8 / 6
CE = 12 cm
Thus, DE = CE - CD.
DE = 12 - 8 = 4 cm
Calculate the area as shown below,
[tex]Area = (BD+AE) / 2 \times DE[/tex]
Area = (6 + 9) / 2 × 4
Area = 15 / 2 × 4
Area = 30 cm²
Therefore, the area of the trapezium, if CD = 8 cm, BD = 6 cm, AE = 9 cm, is 30 cm².
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the quotient of x and3 is less than or equal to 5 write an inequality for the phrase
Answer:
[tex]\frac{x}{3} \leq 5[/tex]
Hope this helps! :)
When aked her age,uan replied "if you take my age an quare it and then ubtract 22 time my age the reult i 75"how old i he?
After solving, she is 25 years old.
In the given question,
When he asked her age, She replied "If you take my age and square it and then subtract 22 time my age then the result is 75"
We have to find the age of she.
To find the age of she we we firstly simplify the given statement in the form of expression then we solve the expression.
To write the expression we clearly read then sentence and then write the expression.
Let the age of she is x.
So When we take the square of her age, it is x^2.
When we subtract 22 times her age then it is x^2-22x.
Then its is equal to the 75. Now the expression is;
x^2-22x=75
Subtract 75 on both side, we get
x^2-22x-75=0
Now we simplifying the equation by factoring it.
x^2-(25-3)x-75=0
x^2-25x+3x-75=0
x(x-25)+3(x-25)=0
(x+3)(x-25)=0
Now the factor of x is -3 and 25.
Age can not be negative. So the age of she is 25.
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The right question is;
When he asked her age, She replied "If you take my age and square it and then subtract 22 time my age then the result is 75"how old is she?
in a study of a certain hardware inspection process, 356 items were inspected, and of these, 201 passed the test. calculate a 95% (two-sided) ci for the proportion of all dies that pass the test.
The [0.513,0.616] range is the 95% confidence interval for the percentage of all dies that pass the test.
Given,
Number of items inspected = 356
Number of items passed the test = 201
We have to calculate the 95% (two-sided) confidence interval for the proportion of all dies that pass the test;
Here,
p' = 201 / 356 = 0.56460
Now,
The 95% confidence interval for the percentage of all dies that pass the test;
p∈ [p' ± zα / 2√p' (1−p') / n]
p∈ [0.56460 ± 1.96 × √0.56460 (1 − 0.56460) 356]
p∈ [0.513, 0.616]
That is,
The 95% confidence interval for the percentage of all dies that pass the test is [0.513, 0.616]
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in a batch of 50 computers , 3 are defective . if you randomly select 7 , what is the expected number of defectives?
Expected number of defectives is 3.
What do you mean by probability?
Simply put, probability is the likelihood that something will occur.
When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes. Statistics is the study of events that follow a probability distribution.
The likelihood or chance of an event happening is known as probability.
Probability = (the number of ways of achieving success)/( the total number of possible outcomes)
It is given that there are total 50 computers and out of which 3 are defective. So , here atmost 3 can be defective out of 7.So , out of 7 , one can be defevtive , 2 can be defective and 3 can be defective
Therefore, expected number of defectives is 3.
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Sarah is twice as old as her younger brother. The sum of twice her age and three times her brother's age is
35. Write and solve a system of equations to do to determine how old Sarah is and how old her brother is.
Answer: Her brother is 5 years old.
Step-by-step explanation:
s = 2b
4b + 3b = 35
7b = 35
First, I used s to represent Sarah's age. We are told that she is twice her brother, I used b to represent her brother's age. The sum of twice her age is 4 times her brother's age (2b + 2b) and 3 times her brother's age is 3b.
Find the line of fit (1960, 23) and (2000, 32)
The line of fit for the coordinate points (1960, 23) and (2000, 32) is y=9/40 x+418.
The given coordinates are (1960, 23) and (2000, 32).
What is line of fit?The line of best fit calculates a straight line that minimises the separation between itself and the locations of the observations in a given data collection. A trend or correlation between the dependent variable and the independent variable is depicted using the line of best fit (s). It can be expressed mathematically or graphically.
In the coordinate points (1960, 23) and (2000, 32)
In (1960, 23), 1960 is x-coordinate and 23 is y-coordinate
In ((2000, 32), 2000 is x-coordinate and 32 is y-coordinate
Here, Slope =(y2-y1)/(x2-x1)
= (32-23)/(2000-1960)
= 9/40
Substitute m=9/40 and (x, y)=(1960, 23) in y=mx+c, we get
23= 9/40 (1960)+c
23= 9×49+c
c=23-441=418
Substitute m=9/40 and c=418 in y=mx+c, we get
y=9/40 x+418
Hence, the line of fit for the coordinate points (1960, 23) and (2000, 32) is y=9/40 x+418.
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use scenario 6-16. on average, how many people will the reporter have to stop before he finds his first democrat?
On an average, 1.67 people will have to be stopped by the reporter before he finds his first democrat.
What is democrat?A supporter of democracy, Democratic Party subscriber, a democratic government, or a system of government where the people rule, may be referred to as a Democrat, Democrat, or Democratic.
The central value of a set of data is expressed mathematically as the average of a list of data. It is defined mathematically as the ratio between the total number of units in the list and the sum of all the data. The term "mean" in statistics also refers to the average of a given set of numerical data.
For instance, (2+3+4)/3 = 9/3 = 3 is the average of 2, 3, and 4. As a result, in this instance, 3, which also includes 2, 3, and 4, serves as the central value. Finding the average value of a group of numbers is what average means, then.
Average is calculated by dividing the total number of values by the sum of the individual values.
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I need help please! :)
Answer: 216 times
Step-by-step explanation:
18 * 12
Ive.
Choose Yes or No to tell whether the equation has the
given solution.
2x + 4 = 3x - 2; x = 6
Yes
No
Answer:
yes
Step-by-step explanation:
2x+4=3x-2
4=x-2
6=x
x=6
Answer:
Yes, It equals 6.
GIVING 30 POINTS!
Kathy had $45.67 in her checking account. She wrote a check for $65.23. What was her balance after the check was cashed?
Answer:
Answer choice (C) -$19.56 is your answer. After the check was cashed she had negative -19.56
Step-by-step explanation:
Kathy had $45.67 in her checking account. She wrote a check for $65.23. What was her balance after the check was cashed? A. $110.90 B. $39.56 C. -$19.56 D. -$110.90
Fill in the missing numbers to complete the factorization. Some of the numbers could be negative. Type the numbers in increasing order. = ( )( )( ).
The numbers in the increasing order are:
(x-1)>(x+1)>(x+2)
What is meant by factorization?In mathematics, factorization is the process of dividing a large number into smaller ones that, when multiplied together, give you the original number. The factorization of the integer 12, for instance, might be represented as 3 times 4. In the context of integers, factorization was first studied by Greek mathematicians. They established the basic theorem of mathematics, which states that every positive integer can be factored into a product of prime numbers but cannot be factored further into integers larger than 1. Up to the order of the factors, this factorization is also distinct.
It has also been studied for ages how to factor polynomials.
The given equation is:
x³+2x²-x-2
Now, we have to do factorization for the given equation.
(x+1)(x²+x-2)
(x+1)(x²+2x-x-2)
(x+1)(x(x+2)-1(x+2))
(x+1)(x-1)(x+2)
This is the factorized form of the given equation.
Therefore, the numbers in the increasing order are:
(x-1)>(x+1)>(x+2)
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The price of a new car was 12500 it is reduced to 11625 what is the percentage reduction.
The price of new car is reduced by $825 from the original price $12,500 which implies the price of car after reduction is $11,625 i.e
The percentage reduction is 7 .
Percentage is calculated by dividing the value by total value and then multiply with 100.
We have given that,
The price of a new car = $12,500
After the some reduction in price
then the price of car = $11,625
The reduction in total price of car = original price - price after reduction
= $12,500 - $11,625
= $875
Now, we have to calculate the reduction of price in percentage.
Using the percentage reduction formula,
P% = (original price - price after reduction )× 100 /original price
=> percentage reduction = ( 875/12500)×100
=> percentage reduction = 875/125 = 7
Hence, the reduction is 7% .
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Given: NL is a diagonal of parallelogram KLMN
Prove: KL x NM and KN UM
(edAsset type-"image" caption" Squre-alse" ak-"Aparallelogram KLMN is divided into two triangles NL is the diagonal of the parallelogram
class-block-center img-responsive" ledAsset]
Proof:
O A.
C.
Statements
1. NL is a diagonal of
parallelogram KL MN
O D.
2 KL NM and
KN LM
3.
4. LN NL
Select the missing statement and reason to complete the given proof
ZKLN ZMLN, and ZKNL ZMNL
by the altemate interior angles theorem
OB. ZUNK ZNLM, and ZKLN ZMNL
by the altermate interior angles theorem
5. AKLNAMNL
6. KLNM and
KN LM
ZUNK ZNLM, and ZKLN ZMNL
by the corresponding angles theorem
?
ZKLN ZMLN, and ZKNL ZMNL
by the corresponding angles theorem
Reasons
Given
Definition of a
parallelogram
?
Reflexive property
of congruence
ASA congruence
criteria
Corresponding parts
of congruent
triangles are
congruent
The missing statement and reason to complete the given proof of parallelogram is Option A.
What is a parallelogram?
A parallelogram is a geometric object with sides that are parallel to one another in two dimensions. It is a form of a polygon with four sides (sometimes known as a quadrilateral) in which each parallel pair of sides have the same length. A parallelogram has adjacent angles that add up to 180 degrees.
Given, NL is a diagonal of parallelogram KLMN
Since KL || NM and LN is transversal
That implies, ∠KLN ≅∠MNL by alternate interior angles theorem
Again, KN || LM and NL is transversal
That implies, ∠LNK ≅ ∠NLM by alternate interior angles theorem
Hence, Option A is the correct answer.
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Answer:
B.
∠KLN ≅ ∠MLN, and ∠KNL ≅ ∠MNL
by the alternate interior angles theorem
Step-by-step explanation:
What is the exact circumference of a circle with a radius of 17 millimeters?
A.
17Ï€ millimeters
B.
34Ï€ millimeters
C.
68Ï€ millimeters
D.
8.5Ï€ millimeters
The exact circumference of the circle with radius 17 millimeters is 34π millimeters , the correct option is (b) .
In the question ,
it is given that ,
the radius of the circle is given as = 17 millimeter
we have to find the exact circumference of the circle,
we know that the formula to find circumference of the circle is ;
circumference = 2×π×r
Substituting the value of radius in the circumference formula ,
we get ;
circumference = 2×π×17
Simplifying further ,
we get ,
= 34π
Therefore , the exact circumference of the circle is = 34π .
The given question is incomplete the complete question is
What is the exact circumference of a circle with a radius of 17 millimeters ?
(a) 17π millimeters
(b) 34π millimeters
(c) 68π millimeters
(d) 8.5π millimeters
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At intel, the thickness of processor chips has a mean of 1 mm with a standard deviation of 0. 2 mm. Multiple random samples, each consisting of 35 processor chips, are taken. The sample mean and standard deviation for each sample are recorded to form a sampling distribution. What is the mean and standard deviation of this sampling distribution?.
The mean of this sampling distribution is 1 cm, the standard deviation is 0.033, X-bar is called the sampling distribution of the sample mean
The square root of the variance is used to calculate the standard deviation, a statistic that expresses how widely distributed a dataset is in relation to its mean. By calculating the departure of each data point from the mean, the standard deviation may be determined as the square root of variance.
The bigger the deviation within the data collection, the more the data points deviate from the mean; hence, the higher the standard deviation, the more dispersed the data.
Processor chips = 35
Let the x-bar be the sample mean
x-bar = 1 mm
Size of the processor chips = 0.2 mm
n = 35
Standard deviation = Size of the processor chips/[tex]\sqrt{n}[/tex]
= 0.2/[tex]\sqrt{35}[/tex]
= 0.2/5.9160
= 0.033
Standard deviation = 0.033
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Combine like terms. 5x + 2x Question 3 options: 7x 7 3x 7x(small 2 on top)
Answer:
7x
Step-by-step explanation:
When combining like terms, you keep the bases the same and add the constants.
the "x's" are the base and the constants are 5 and 2:
(5 + 2)x = 7x
what is the earliest finish time for activity 10-11 (far right-hand side) if the earliest start time of 8-10 (upper left-hand side) is 12 and the earliest start time of 9-10 (lower left-hand side) is 13?
The earliest finish time for the activity 10-11(far right-hand side) is 23 if the earliest start time of activity 8-10 and activity -10 is 12 and 13 respectively.
The depicted graph represents the critical path method(CPM)
Given,
Earliest start time of 8-10 = 12
Earliest start time of 9-10 = 13
From the network, it is observed that at 10, two networks are connecting, we need to take the largest earliest finish time from both the activities as earliest start time for 10-11.
Earliest finish time = earliest start time + activity duration
Earliest finish time for 8-10 = 12+4=16
Earliest finish time for 9-10 = 13+2=15
From above two times, 8-10's earliest finish time is the greatest. So, consider 16 as earliest start time for 10-11.
Now,
Earliest finish time for 10-11= earliest start time + activity duration=16+7=23
Thus, the earliest finish time for 10-11 is 23.
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What is function Give 2 example of function?
Functions are expressions, rules, or laws that specify the relationship between an independent variable and a dependent variable
Given,
A function;
An expression, rule, or regulation that establishes the connection between an independent variable and a dependent variable is known as a function (the dependent variable).
A function called f is defined by the notation y=f(x). This should be understood as "y is a function of x." The input value, or independent variable, is represented by the letter x. The output value, also known as the dependent variable, is denoted by the letter y, or f(x).
Examples for function are;
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Monica would like to save up $10,000. She is going to make monthly deposits for 5 years into an account that will get 2.05% compounded monthly. How much does she need to deposit in the account to reach her goal?
Answer: $91017.17865 / 12 = $7585.5987
Step-by-step explanation:
To solve this problem, we need to first determine the total interest that will be earned on the account over the 5-year period. We can do this by using the formula for compound interest, which is:
A = P (1 + r/n) ^ nt
where A is the total amount of money in the account after the interest has been compounded, P is the initial deposit, r is the interest rate, n is the number of times the interest is compounded per year, and t is the number of years the money is deposited.
In this case, the initial deposit is $10,000, the interest rate is 2.05%, the number of times the interest is compounded per year is 12 (because the interest is compounded monthly), and the number of years the money is deposited is 5. Plugging these values into the formula, we get:
A = 10000 (1 + 0.0205 / 12) ^ (12 * 5)
A = 10000 (1.001708333) ^ 60
A = 10000 (1.101717865)
A = 101017.17865
Therefore, the total amount of money in the account after 5 years will be $101017.17865.
Since Monica wants to save up $10,000, we can subtract this amount from the total amount in the account to find out how much she needs to deposit each month in order to reach her goal:
101017.17865 - 10000 = 91017.17865
Therefore, Monica needs to deposit $91017.17865 each month in order to save up $10,000 in 5 years. This means that she will need to deposit $91017.17865 / 12 = $7585.5987 per month in order to reach her goal.
find mean, median, mode, and range for class 1, class 2 and class 3
Answer:
Class 1
Mean 78.83
Median 88
Mode 90
Class 2
Mean 79.42
Median 85.5
Mode 90
Class 3
Mean 79.42
Median 78
Mode 75 and 80
Which number can each term of the equation be multiplied by to eliminate the fractions before solving?
-3/4m - 1/2=2+1/4m
Answer:
4
Step-by-step explanation:
[tex]\frac{-3}{4}[/tex] m - [tex]\frac{1}{2}[/tex] = 2 + [tex]\frac{1}{4}[/tex] m Multiply each term by 4
-3m - 2 = 8 + m Add 3m to both side
-2 = 8 + 4m Subtract 8 from both sides
-10 = 4m Divide both sides by 4
[tex]\frac{-5}{2}[/tex] = m
Which function is used to find the maximum?
A function that is used to find the maximum = MAX
We know that the MAX function in Excel returns the data's largest numeric value from a set of values.
MAX does not take into account empty cells, logical values TRUE and FALSE, or text values.
To find the to find the maximum value in a set of values:
First select a cell below or to the right of the numbers you're looking for the smallest number for.
Then click the arrow next to AutoSum on the Home tab, in the Editing group, then click Min (calculates the smallest) or Max (calculates the largest), and then press ENTER.
MAX function is used to find the maximum.
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How many solutions does 6-3x=4-x-3-2x have?
OA. No solutions
OB. Two solutions
OC. Infinitely many solutions
OD. One solution
SUBMIT
Answer:
D. One solution
Step-by-step explanation:
6-3x=4-x-3-2x
Combine your like-terms.
6-3x=1-3x
Subtract 1 to both sides (on the right side it cancels out).
5-3x=3x
Add 3 on both sides (on the left side it cancels out).
5=6x
Divide both sides by 6.
x=0.83
Let S be the part of the plane 3x+2y+z=3 which lies in the first octant, oriented upward. Find the flux of the vector field F=4i+4j+1k across the surface S.
The flux of the vector-field F = 4i + 4j + 1k across the surface S is 63/4. We find out the flux of the vector-field using Green's Theorem.
Define Green's Theorem.Flux form of Green's Theorem for the given vector-field
φ = ∫ F.n ds
= ∫∫ F. divG.dA
Here G is equivalent to the part of the plane = 3x+2y+z = 3.
and given F = 4i + 4j + 1k
divG = div(3x+2y+z = 3) = 3i + 2j + k
Flux = ∫(4i + 4j + 1k) (3i + 2j + k) dA
φ = ∫ (12 + 8 + 1)dA
= 21∫dA
A = 1/2 XY (on the given x-y plane)
3x+2y =3
at x = 0, y = 3/2
y = 0, x = 1
1/2 (1*3/2) = 3/4
Therefore flux = 21*3/4 = 63/4
φ = 63/4.
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