A manager be interested in analyzing risk to determine a range of outcomes.
What are the reasons to analyze risk?Project managers and their teams undertake risk analysis, such as calculating the likelihood of various undesirable outcomes affecting a project, to avoid or minimize their impacts. The process can help reduce exposure, time, and budget overruns and keep businesses in compliance.
Analyzing risk can help to uncover threats to the success of the projects or business operations, such as: vulnerabilities in security; potential litigations, penalties and non-compliance issues; and, mistakes in budget or scheduling.
In general, there are 4 accepted ways to respond to risks, those are: avoidance, mitigation, acceptance, and transfer.
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what is the seventh partial sum for the sequence - 13,22,31,40....
?
The nth partial sum of an infinite sequence is the sum of first n terms starting from the first one. The partial sum of the sequence is given as 280.
What is an arithmetic sequence?An arithmetic sequence is a kind of sequence of numbers where the difference of any two consecutive terms are the same.
This difference is known as the common difference of the sequence.
Given that,
The sequence is 13,22,31,40....
The first term of the sequence is a₁ = -13.
The difference between consecutive terms is,
22 - 13 = 9
31 - 22 = 9
And, 40 - 31 = 9
Since, the difference between two consecutive terms are same, the given sequence is arithmetic.
The sum of first n terms of an arithmetic sequence is given as,
Sₙ = n/2(2a₁ + (n - 1)d)
Substitute n = 7 to obtain,
S₇ = 7/2(2 × 13 + (7 - 1) × 9)
= 7/2 × 80
= 280
Hence, the seventh partial sum of the given sequence is 280.
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please help me please
Answer:
For the first one
Part a:
115x + 685y >= 2300
Part b:
See explanation below
Second one:
1.5x + 1.0y >= 2000
Rest of explanation below
Step-by-step explanation:
First one.
Let x be the number of skimboards sold and y be the number of longboards sold.
Then revenue from sales of x units at $115 and y units at $685 would be
115x + 685y
This must be at lest the overhead to make zero loss
So the inequality is
115x + 685y ≥ 2300 (Answer a)
Part b
Any combination of x and y which satisfies this inequality will provide a profit. I have provided a graph of this inequality using an online graphing calculator. I am not sure what your teacher wants you to use.
Any point in the shaded region represents a combination of x and y which satisfies that inequality. However since you cannot sell a fraction of a surfboard, only points which represent whole numbers can be valid. Also only values of x and y >=0 can be chosen. So any point in the shaded region which has x and y non-negative and x and y whole numbers will generate a profit
Again I am not sure whether this question is asking for a specific value or possible values.
A specific value can be (x=5, y = 10) which is well within the shaded region. This represents 5 skimboards and 10 longboards with a revenue of 5 x 115 + 10 x 685 = $ 7425
Or you could sell 0 skimboards and 4 longboards giving you a revenue of
4 x 685 = $2,740
Or 20 skimboards and zero long boards which is a revenue of $2300 which breaks even with the overhead
Second Question: Modeling
Using x for number of hot dogs sold and y for number of sodas, the inequality is
(a) 1.0x + 1.25y >= 2000
(b) Graph attached
(c) 5 solution points plotted
Here are 5 values that fill fit the inequality
1000 hot dogs, 1000 sodas (Point A)400 hot dogs, 1400 sodas (Point B)600 hot dogs, 1200 sodas (Point C)0 hot dogs, 1800 sodas (Point D)1600 hot dogs, 800 sodas (Point E)Hope that helps. Sorry, best I could do
Solve for m 3/5m > -12 help I’ll give 30 points
Answer:
m > -20
Step-by-step explanation:
Multiply the 5 on both sides. Now you have 3m > -60. Divide both sides by 3. Now you have m > -20.
Voila
HELP ME I DONT UNDERSTAND THIS!!!!!!!!!!!!!!
Answer:
x=4
Step-by-step explanation:
4(3x+3)=5(x+8) ------- Given
12x + 12 = 5x + 40
12x-5x= 40-12
7x = 28
x = 4
8x+8
Step-by-step explanation:
from the first you can see that there is a 3 in front of the x and if equal then 8 has to be in front of x as well
Caleb is buying a new bed costing £400. He pays of the total cost when he orders the bed and the rest on delivery. How much does he pay when he orders the bed?
Caleb pays £80 when he orders the bed
How to determine how much he pays when he orders the bed?From the question, we have the following parameters that can be used in our computation:
Total cost of the bed = £400
Proportion paid when ordering the bed = 1/5
Using the above as a guide, we have the following:
Amount paid when ordering the bed = Proportion paid when ordering the bed * Total cost of the bed
Substitute the known values in the above equation, so, we have the following representation
Amount paid when ordering the bed = 1/5 * £400
Evaluate the products
So, we have the following representation
Amount paid when ordering the bed = £80
Hence, the amount is £80
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Complete question
Caleb is buying a new bed costing £400 He pays 1/5 of the total cost when he orders the bed and the rest on delivery. How much does he pay when he orders the bed?
Rewrite the following equation in slope-intercept form.
–10x − 11 = –12y
Answer:
y = 5/6x+11/12
Step-by-step explanation:
divide by -1 on both sides to get 10x+11=12y
divide by 12 on both sides
Use the function below to find F(3).
Answer:
c) 4/3
Step-by-step explanation:
Bill wanted to try out different water craft. he went 62 miles downstream in a motor boat and 27 miles downstream on a jet ski. his speed on the jet ski was 10 mph faster than in the motor boat. bill spent a total of 4 hours on the water. what was his speed in the motor boat?
The speed of the bill's motor boat is found as 20 mph.
Explain the relation of speed and time?The speed and time relationship is inverse. Distance / time equals speed. If you keep the distance constant, speed rises as time goes down and falls as it goes up.Here, we're trying to determine the motorboat's speed.
The speed on the skis would be (x + 10) mph if his motorboat speed is x mph.
There are four hours in all;
Speed = distance/time mathematically.
Skiing time is 27/x+10.
The motorboat time is 62/x.
The result of adding both is 4.
Thus;
27/(x + 10) + 62/x = 4
27(x) + 62(x + 10) = 4(x)(x + 10)
27x + 62x + 620 = 4(x² + 10x)
89x + 620 = 4x² + 40x
4x² -49x-620 = 0
By the quadratic formula;
{-b ± √(b²-4ac)}/2a
In which a = 4, b = -49 and c = -620
= 49 ± √(-49)² -4(4)(-620)/8
Thus,
49+ 111/8 or 49-111/8
As, speed is not negative.
= (49 + 111)/8
= 20 mph
Thus, the speed of the bill's motor boat is found as 20 mph.
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an article reported that, in a study of a particular wafer inspection process, 356 dies were examined by an inspection probe and 201 of these passed the probe. assuming a stable process, calculate a 95% (two-sided) confidence interval for the proportion of all dies that pass the probe. (round your answers to three decimal places.) ,
the 95% confidence interval for the proportion of all dies that pass the probe is [0.513,0.616].
What is sample proportion?Sampling is frequently used to estimate the percentage of population that possesses a particular attribute, such as the percentage of all faulty goods which come off an assembly line or the percentage among all buyers that enter a store and make a purchase before leaving. The population proportion is indicated p, while the sample proportion is written p. Thus, if 43% of individuals visiting a business make a purchase before departing, p = 0.43; if 78 people enter the store and make a transaction, p=78/200=0.39.
The sample proportion is a random variable because it differs from sample to sample in ways that are impossible to anticipate in advance. When seen as a random variable, it will be represented by the letter P.
How to solve?
An article reported that in a study of a particular wafer inspection process, 356 dies were examined by an inspection probe and 169 of these passed the probe.
So,p'=201/356=0.56460
The 95% confidence interval for the proportion of all dies that passed the probe will be,
p∈[p'±zα/2√p'(1−p')/n]
p∈[0.56460±1.96×√0.56460(1−0.56460)356]
p∈[0.513,0.616]
So the 95% confidence interval is [0.513,0.616].
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A recipe calls for 2 1/4 cups of sugar for 1 1/2 dozen cookies. What amount of sugar is needed for one dozen cookies?
The required number of cups of sugar for 1 dozen of cookies is 3 cups.
Given that,
A recipe calls for 2 1/4 cups of sugar for 1 1/2 dozen cookies. What amount of sugar is needed for one dozen cookies? is to be determined.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
here,
For
2 1/4 cups = 9 / 2 cups
number of cookies = 3/2 dozen
For.
1 dozen cookies = 9 / 2 / [ 3 / 2] = 3 cups of sugar
Thus, the required number of cups of sugar for 1 dozen of cookies is 3 cups.
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one morning, ms. simon drove directly from her home to her workplace in 242424 minutes. what was her average speed, in miles per hour, during her drive that morning?
The average speed during her drive that morning would be 43.5 miles/hr.
What is Average Speed?
Calculating average speed involves dividing the whole distance traveled by the total time it took to cover that distance.
Explanation:
Time = 24 min = 0.4 hr
Entire way = 0.6 + 15.4 + 1.4
= 17.4 miles
[tex]Average \ speed = \frac{Distance}{Time}\\\\Average \ speed = \frac{17.4}{0.4} \\\\Average \ speed = 43.5 miles/hr[/tex]
Hence, The average speed during her drive that morning would be 43.5 miles/hr.
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15 red cars to 19 blue cars Use to.______ Use a colon._______ Use fraction form._______/ write each ratio please help !!
Answer:
15:19 15/19
Step-by-step explanation:
A sample of size
=n83
is drawn from a population whose standard deviation is
=σ42
Part 1 of 2
(a) Find the margin of error for a
95%
confidence interval for
μ. Round the answer to at least three decimal places.
The margin of error for a
95%
confidence interval for
μ
is
. Part 2 of 2
(b) If the confidence level were
99%
, would the margin of error be larger or smaller?
The margin of error would be higher at a 99% confidence level.
Confidence level is the probability, or degree of certainty, that the confidence interval would include the real population parameter when a random sample is drawn numerous times.
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in how many ways can four people sit in six chairs so that the leftmost chair is occupied and the right most is not
There are 96 ways for four people to sit in six chairs so that the leftmost chair is occupied and the rightmost is empty.
There are 4 guests and the leftmost seat is to be occupied, so there are 4 such ways to choose the occupant of that seat.
Then, for each of those 4 ways, there are 4 ways to decide the occupant for the second seat -- the remaining three people plus the possibility of that seat being empty, that makes a total of 16 ways to decide the configuration of the first two seats.
Then, for each of those 16 ways, there are 3 ways to choose the occupant for the third seat (either 3 remaining guests if the second seat was left empty, or the two remaining guests plus the possibility of leaving the 3rd seat empty). Hence, 16 times 3 is 48. For each of those ways, there are two choices for the next seat, i.e. 48 times 2 = 96, and finally one choice for the fifth seat. So in all, there are 96 ways.
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Compute the requested average. Tim worker receives the following income monthly from a second job. Jan. Feb. Mar. Apr. May june $200 $150 $250 $260 $285 $380 what is his average pay? (to the nearest hundredth. ).
a local zoo found that if the price of admission was $15$15, the attendance was about 15501550 customers per day. when the price of admission was dropped to $9$9, attendance increased to about 29002900 per day. write a linear equation for the attendance in terms of the price, p. ( a
Linear equation of attendance in terms of the price is A = -225p + 4925
What is linear equation?
An equation is said to be linear if the maximum power of the variable is consistently 1. Another name for it is a one-degree equation. A linear equation with one variable has the conventional form Ax + B = 0. In this case, the variables x and A are variables, while B is a constant. A linear equation with two variables has the conventional form Ax + By = C. Here, the variables x and y, the coefficients A and B, and the constant C are all present.
Attendance as a function of ticket price.
A(p) = mp + b
We have two points (p, A): (15, 1550), (9, 2900)
Slope: m = (2900-1550)/(9-15) = 1350/-6 = -225
A = -225p + b
Using (15, 1550) as (p, A) find b
1550 = -225(15) + b
1550 = -3375 + b
4925 = b
A = -225p + 4925
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Lola puts $150 into a bank account
The account pays 4% per annum simple interest
work out the total amount of mo
Answer:$156
Step-by-step explanation:
SI=principal x rate x time/100
=150 x 4 x 1/100
=$6
amount = principal+SI
=150+6
=$156
ANSWER ASAP!!!!!!!!!!!!!!!
Choose the scatter plot that suggests a linear relationship between x and y.
Answer:
The 4th scatter plot indicates a linear relationship
Step-by-step explanation:
The first and third scatter plot graphs are too noisy to indicate a proper trend. The second scatter plot is quadratic and the fourth one is linear.
103.019 to the nearest tenth
The value of 103.019 rounded to the nearest tenth is 103.0.
What is Rounding Off?When a number is rounded off, its value is maintained but is brought closer to the next number, simplifying the number. For whole numbers as well as decimals at different places of hundreds, tens, tenths, etc., it is done. The significant figures are preserved when numbers are rounded off.
Round the number up if 5, 6, 7, 8, or 9 follow the number you are rounding. For instance, 40 when rounded to the nearest ten is 38. Round the number down if the rounded number is followed by a 0, 1, 2, 3, or 4.
Therefore, the number is 103.0.
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Answer:
103.0
Step-by-step explanation:
In a survey of six year olds at a party, 0.83 liked the cake at the party, 0.52 liked the pizza and 0.40 liked the cake and pizza. What is the probability of choosing a six year old who liked the pizza or cake? Round to four decimals, as needed.
Answer:
Step-by-step explanation:
1+1
2/555
Of the 47 plays attributed to a playwright, 11 are comedies, 20 are tragedies, and 16 are histories. If one play is selected at random, find the odds against selecting a history
The odds against selecting a history are 31/16.
Define probability.Probability is the concept that describes the likelihood of an event occurring. In many situations, it is necessary to foresee how something will turn out in the actual world. We may be aware of the result of an event or not. When this occurs, we state that there is a possibility that the event will occur.
Probability is the ratio of the most likely outcomes to all other possible outcomes of an event. The number of successful outcomes for an experiment with 'n' outcomes may be expressed using the symbol x. The following formula can be used to determine the likelihood of an event.
Probability(Event) = favorable outcome/Total outcome = x/n
Number of playwrights = 47
Number of histories = 16
Therefore, the odds against selecting a history are
(47 - 16) / 16
= 31/16
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An airplane is preparing to land at an airport. It is 44,100 feet above the ground and is descending at the rate of 3,500 feet per minute. At the same airport, another airplane is taking off and will ascend at the rate of 2,800 feet per minute. When will the two airplanes be at the same altitude and what will that altitude be? Use pencil and paper. Use two other methods to solve the problem. Explain which methods are easier to use and which are more difficult to use for the situation.
Answer:
Step-by-step explanation:you add the nmer than you divid them so when you divd them you answer is right there
-4(v + 1) + 6v = 2(v + 2) - 8
Answer:
0 , All real numbers are solutions.
Step-by-step explanation:
Let's solve your equation step-by-step.
−4(v+1)+6v=2(v+2)−8
Step 1: Simplify both sides of the equation.
−4(v+1)+6v=2(v+2)−8
(−4)(v)+(−4)(1)+6v=(2)(v)+(2)(2)+−8(Distribute)
−4v+−4+6v=2v+4+−8
(−4v+6v)+(−4)=(2v)+(4+−8)(Combine Like Terms)
2v+−4=2v+−4
2v−4=2v−4
Step 2: Subtract 2v from both sides.
2v−4−2v=2v−4−2v
−4=−4
Step 3: Add 4 to both sides.
−4+4=−4+4
0=0
Answer:
no solution
Step-by-step explanation:
-4(v + 1) + 6v = 2(v + 2) - 8
-4v - 4 + 6v = 2v + 4 - 8
2v - 4 = 2v - 4
0 = 0
no solution
30% of = 30 i need to find some thing 30% that is 30.
Answer:
9
Step-by-step explanation:
We can turn 30% into a decimal, then multiply 30% by 30.
30% = 0.3
0.3*30 = 9
Answer:
9
Step-by-step explanation:
1. Turn 30% into a decimal:
(Move the decimal place over twice to get:)
30% = 0.30
2. Multiply
0.30 x 30 = 9
Solution:
9
May I have Brainliest please? My next rank will be the highest one: A GENIUS! Please help me on this journey to become top of the ranks! I only need 5 more brainliest to become a genius! I would really appreciate it, and it would make my day! Thank you so much, and have a wonderful rest of your day!
wisconsin: 5.82\times 10^{6}5.82×10 6 vermont: 6.24\times 10^{5}6.24×10 5 how many times greater was the population of wisconsin than the population of vermont? write your answer in standard notation, rounding to the nearest tenth.
Population of Wisconsin is 9.3 × 10⁰ times greater than the population of Vermont.
As given in the question,
Population of Wisconsin is equal to 5.82 × 10⁶
Population of Vermont is equal to 6.24 × 10⁵
Let 'x' represents the number of times population of Wisconsin is greater than the Vermont
⇒ x = ( population of Wisconsin ) / (Population of Vermont)
⇒ x = ( 5.82 × 10⁶ ) / ( 6.24 × 10⁵ )
⇒ x = 0.933 × 10⁶⁻⁵
⇒ x = 0.933 × 10¹
⇒ x = 9.3 × 10⁰ ( Standard notation , rounding to nearest tenth)
Therefore, population of Wisconsin is 9.3 × 10⁰ times greater than the population of Vermont as per given data.
The complete question is:
The approximate populations of Wisconsin and Vermont (as of 2019) are listed below: Wisconsin: 5.82 × 10⁶ Vermont: 6.24 × 10⁵. How many times greater was the population of Wisconsin than the population of Vermont? Write your answer in standard notation, rounding to the nearest tenth.
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juan ran 3 miles in 45 minutes. at this rate how long will it take juan to run 7 miles
Answer:105
Step-by-step explanation:
f we start at the point (1,3,2), then in what direction should we move if we want to maximize the directional derivative?
To maximize, it has positive direction at x=1 in first quadrant
What are coordinates?
A pair of numbers that use the separations between the two reference axes to define the location of a point on a coordinate plane. usually represented by the x- and y-values, respectively, (x, y).
The position of a point or a shape in a given space is determined by coordinates, which are numbers (a map or a graph ).
Given function:
F=x³z - yz²
Find the following :
[tex]\partial F/\partial x+ \partial F/\partial y + \partial F/\partial z[/tex]
= 3x²z + (-z²) + (x³-2yz)
So, gradient = 3x²z -z² + x³-2yz
Find the gradient at (1,3,2):
x=1, y=3 and z=2
gradient = 3*1*2 - 9 +1 - 12 = -14
To maximize, it has positive direction at x=1 in first quadrant = 14
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Find the 8th term of the arithmetic sequence 3x-13x−1, -2x+6−2x+6, -7x+13, ...−7x+13,...
Answer:
11x +98 just assume it to be an arithmetic progression
Newton is thinking of a number that is greater than 0.4 and less than 0.5. The greatest digit in the number is in the hundredths place. What might Newton’s number be?
Answer:
0.49
Step-by-step explanation:
Answer:
0.49
Step-by-step explanation:
0.4 < x < 0.5
if the relationship between total cost and number of units made is linear, and if cost increased by $3 for each additional unit made, and if the total cost of 10 units is $30, find the equation of the relationship between total cost (y) and number of units made (x)
The relation between the total cost y and the number of units made x is
y = 3x.
What is an equation?
An equation is a mathematical statement that proves two mathematical expressions are equal in algebra, and this is how it is most commonly used. In the equation 3x + 5 = 14, for instance, the two expressions 3x + 5 and 14 are separated.
Given:
The cost (the price) of each single item is $3 and the cost of 10 units is $30.
So, the relation between the total cost y and the number of units made x is
y = 3x.
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