Answer:
0.3425 = 34.25% probability it will be off probation in February 2020
Step-by-step explanation:
We have these desired outcomes:
Off probation in July 2019, with 0.25 probability, then continuing off in January, with 1 - 0.08 = 0.92 probability.
Still in probation in July 2019, with 1 - 0.25 = 0.75 probability, then coming off in January, with 0.15 probability.
What is the probability it will be off probation in February 2020?
[tex]p = 0.25*0.92 + 0.75*0.15 = 0.3425[/tex]
0.3425 = 34.25% probability it will be off probation in February 2020
Suppose we have a set of three buyers who are trying to buy homes from three sellers. Suppose that seller A charges 3 for their house, seller B charges 2 for their house, and seller C charges 1 for their house The valuations for the three buyers are as follows ordered by house number (so house a, then house b, then house c):
Buyer 1: A: 1 B: 3 C: 2
Buyer 2: A: 5 B:5 C: 5
Buyer 3: A: 5 B: 3 C: 2
Assuming that this set of prices is market clearing, provide the utility for each player in the transaction.
Solution :
As we can see from the following question that :
[tex]$\text{Seller A}$[/tex] charges [tex]$3$[/tex] for their house, [tex]$C_A=3$[/tex]
[tex]$\text{Seller B}$[/tex] charges [tex]$2$[/tex] for their house, [tex]$C_B=2$[/tex]
[tex]$\text{Seller C}$[/tex] charges [tex]$1$[/tex] for their house, [tex]$C_C=1$[/tex]
Now depending on the valuation that each buyer have on these three houses, they derive utility from it :
Buyer I
Valuation for house A, [tex]$V'_A=1$[/tex]
Valuation for house B, [tex]$V'_B=3$[/tex]
Valuation for house C, [tex]$V'_C=2$[/tex]
Utility that buyer I derives from :
House A, [tex]$V_A = V'_A-C_A = 1-3 = -2$[/tex]
House B, [tex]$V_B = V'_B-C_B = 3-2 = 1$[/tex]
House C, [tex]$V_C = V'_C-C_C = 2-1 = 1$[/tex]
As we can see from buying house B and C, buyer I has positively utility, so the buyer will be interested to buy house B and C. As the utility derived from both the houses is same, he will be indifferent.
Buyer II
Valuation for house A, [tex]$V^2_A=5$[/tex]
Valuation for house B, [tex]$V^2_B=5$[/tex]
Valuation for house C, [tex]$V^2_C=5$[/tex]
Utility that buyer II derives from :
House A, [tex]$V_A = V^2_A-C_A = 5-3 = 2$[/tex]
House B, [tex]$V_B = V^2_B-C_B = 5-2 = 3$[/tex]
House C, [tex]$V_C = V^2_C-C_C = 5-1 = 4$[/tex]
Buyer II drives positive utility from all the three houses, so he will be interested to buy any of them but will be inclined towards house C, as it gives the buyer more utility.
Buyer III
Valuation for house A, [tex]$V^2_A=5$[/tex]
Valuation for house B, [tex]$V^2_B=3$[/tex]
Valuation for house C, [tex]$V^2_C=2$[/tex]
Utility that buyer III derives from :
House A, [tex]$V_A = V^2_A-C_A = 5-3 = 2$[/tex]
House B, [tex]$V_B = V^2_B-C_B = 3-2 = 1$[/tex]
House C, [tex]$V_C = V^2_C-C_C = 2-1 = 1$[/tex]
The buyer III derives positive utility from all the three houses but will be more inclined to buy house A as it gives the buyer higher utility as compared to the other houses.
3x + 7y = 21 –3x – 7y = 42
Solve the system of equations?
9514 1404 393
Answer:
no solution
Step-by-step explanation:
The equations describe parallel lines. There are no values of x and y that will satisfy both equations.
In standard form, the two equations are ...
3x +7y = 21
3x +7y = -42 . . . . . with positive leading coefficient
If (x, y) values satisfy the first equation, they cannot satisfy the second equation, and vice versa.
HELP I NEED TO DO THIS NOW
Answer: The answer is 1:2, i hope it helps.
i don’t know if it’s A or B
Answer:
A
Step-by-step explanation:
this is true due to the ratio of a 30-60-90 triangle, which is 1-2-sqrt(3). The 12 corresponds to the sqrt(3), which means that the 1 corresponds to 4sqrt3 and the 2 to 8sqrt3.
:)
Is it possible for a triangle to have a 54 degree angle and a 126 degree angle? Explain why or why not.
Answer:
No
Step-by-step explanation:
Those are only 2 angles and they already equal 180, Every single triangle has a sum of 180 and if you already hit 180 with only 2 out of the 3 points, it's not possible
Answer:
No
Step-by-step explanation:
No, because the 3 angles of a triangle have to add up to 180 degrees. The given 2 angles already add up to 180 degrees leaving no room for the missing angle.
convert (-2,2) into equivalent polar coordinates
what is the probability of choosing a jack or an ace from a deck of cards type your anwser as a fraction
Look at picture and find the value of x please help no links!!
Please If you plan to help me with any of these and respond to I would be grateful please show that this application is for good answers God bless you
Answer:
Step-by-step explanation:
Whether you’re job searching, working on your professional development, or building your career, you’ve probably been in a situation that warranted showing appreciation and gratitude. Perhaps you received a job lead and a pep talk from a former colleague. Maybe you had an informational interview with someone who has now taken you under their wing and is serving as a mentor. It might even be a family member who’s your greatest fan. Whatever the situation, one way to show gratitude is to write a thank-you note that expresses your appreciation.
Which of the following angles is NOT congruent to 6?
3
2
7
1
Answer:
1
Step-by-step explanation:
We can see that 7 is equal to 6, as opposite angles are the same.
We can also see that 2 is also 6, as corresponding angles are equivalent.
Therefore, 3 is also congruent to 6, as it is equal to 2.
Hope that this helps!
Answer Plz if u got correct plz go to next reward question for 100 pints
Answer:
A) 1320 yeards
Step-by-step explanation:
.25 mile is 440 yards so js multiply by 3
write the number that is 100 times greater than 1.86
can someone help me please please?
Answer:
22
Step-by-step explanation:
Count the dot
I SHALL GIVE BRAINLIEST IF YOU HELP
Answer:
B
Step-by-step explanation:
surface area is finding the area of each portion of the net and adding them all up together. all the triangles are congruent, so we can start by finding the area of one of them and multiplying that area by 4 (since there are 4 triangles in this net). the formula for the area of a triangle is 1/2 bh. this is (1/2)(5.95)(5.1) which equals approximately 15.17. 4 multiplied by this is 60.68. the area of the square is length multiplied by width, which is 26.01. 60.68+26.01=86.69, which is the closest to answer choice B.
Answer:
i know this is not the option but i did the maths and the correct answer
the answer is 96.815 you dont have to give me brainliest tho since it was not an option but i got 96.815 anyways
Step-by-step explanation
1. 5.95*5.95= 35.4025
2. but since it is a triangle it should be devided by 2 which is 17.70125
3. since there are 4 triangles you have to multiply it by 4 which is 70.805
4. 5.1*5.1=26.01
5. 26.01+70.805= 96.815
help with 6grade math
HELP!!!
WHO EVER HELPS ME FIRST GETS BRAINLEST!!!!How can decomposing a parallelogram and composing it as
another shape help in understanding the formula for the area of
a parallelogram?
Suppose that you are about to purchase a car and have narrowed your choices to two models --Model A and Model B. All things are about equal, such as price, options, even the average annual maintenance costs. You find an owner survey in an auto magazine that indicates that the standard deviation of maintenance costs is smaller for Model B. Based on this information, which of the following statements is most appropriate?
A. Model B with the smaller standard deviation is preferable, because the smaller value implies that the mean is a more reliable representation of maintenance costs.
B. Model A with the larger standard deviation is preferable. Cecause the larger value implies a smaller amount of variation in the data
C. Neither of the models are good since both standard deviations are not equal to 0. B 2
D. They are equally acceptable, because standard deviations are not useful for comparisons of data sets.
E. Cannot determine based on the information provided.
Answer:
A. Model B with the smaller standard deviation is preferable, because the smaller value implies that the mean is a more reliable representation of maintenance costs.
Step-by-step explanation:
The standard deviation is a measure of the variability of a dataset about a mean value. Larger values of standard deviation implies that the values varies Hugely about the mean whole smaller variability measure values mean that the data only varies a little about the mean. The implication of having a large variability value is that, low and high values in the data can be very different from the mean values, hence, lowering the reliability of Mean value. The lesser varibality gives the mean more reliability as a measure of centre
Jaylin Earned $36 for 3 hours of work and $60 for 5 hours of work. What is the Constant of Proportionality?
What is the area of the figure?
7 in
Bin.
in
16 m
Answer:
112
Step-by-step explanation:\
Formula for Area- A(AREA)=L(LENGTH) times W(WIDTH)
If we follow this and plug in the Numbers we get the equasion- A=7x16
And so we solve and get the answer 112
hope this helped have a great day :3 (brainliest pls i need one more )
Add the following and simplify if possible.
Answer:
2x+3
Step-by-step explanation:
Which expression is equivalent to7sqrt x^2/ 5 sqrt y^3
?Assume y/=0,
Answer:
7sq rt = 2.6457513110645907 = sqrt y^3
Step-by-step explanation:
Help me with Perpendicular angles
Answer:
x = 50°
x = 70°
Step-by-step explanation:
A right angle is indicated by a small box.
The angles shown are right angles = 90° each. Therefore:
✔️x + 40° = 90°
Subtract 40° from each side
x = 90° - 40°
x = 50°
✔️x + 20° = 90°
Subtract 20° from each side
x = 90° - 20°
x = 70°
Find the area of the composite figure.
A. 65.1 sq in
B. 90.3 sq in
C. 106.3 sq in
D. 241.1 sq in
Answer:
I think B but not so sure
Hoping you have a good dayAnswer:
Step-by-step explanation:
radius of semi circle=8/2=4 in
height of triangle=14-4=10 in.
area of composite figure=1/2×8×10+π×4²=40+16 π≈90.3 sq. in
PLS help asap bt 1230 pt help thank you will brainliest
Answer:
85
Step-by-step explanation:
So you train of though might lead you to soemthing like this: it must be 90 degrees, since that looks like a 90 degree triangle, and there are 180 degrees in a line. So 90 degrees and 90 degrees make up the 180.
That is exactly what I though.
But, its a bit different from that. We do not know for sure that its a 90 degree traingle. Depending on the angle of the traingle, the outcome of the mystery number is different.
So, to find the angle of the trainge, lets take our 155 degree line.
Now, this is just a simple line. We know the line is 180, and that the other number must add onto 155 to make 180:
180-155=missing angle
=
25. So we know that the smallest angle of the traingle is 25.
We also know that a traingle has a total of 180 degrees.
We can add the 60 degrees and our new 25 degrees, subtract if from 180, and we will get our last angle of the traingle we need to solve:
60+25
=
85
Now subtract it from 180:
180-85
=
95
So that last angle of the traingle is 95.
Now, we need to solve the missing angle of the line that will give us the answer.
Again, we know the line has to be 180, so lets subtract 95 from that:
180-95
=
85
So we know that the missing angle answer is 85!
I hope this isnt too confusing and helps! :)
7
Identify the vertex, axis of symmetry,
and y-intercept.
f(x) = -1 (x + 4)2 – 5
Vertex:
Axis of symmetry:
y-intercept:
P varies inversely with the square of Q. When Q is 8, P 9. Find the value of P when Q is 3.
Answer:
P
[tex] \alpha [/tex]
1/q²
P=k/Q²
K=P×Q²
Where P=9
Q=8
K=?
K=9×8²
K=9×64
K=573
So where K= 573
Q=3
P=?
P=K/Q²
P=573/3²
P=573/9
P=63.67
Solve for x in this equation: 3/4+ |5-x| = 13/4
Answer:
x = 2.5 or 7.5
Step-by-step explanation:
Subtract 3/4.
|5 -x| = 10/4 = 2.5
This resolves to two equations:
5 -x = 2.5 ⇒ x = 5 -2.5 = 2.55 -x = -2.5 ⇒ x = 5 +2.5 = 7.5The solutions are x = 2.5 or 7.5.
There is a lighthouse on top of a cliff. The light of the lighthouse is 200 feet above sea level. It can be seen on the deck of a ship that is 25 feet above sea level. If the angle of depression from the light of the lighthouse to the deck of the ship is 30 degrees, then how far from the cliff is the ship, to the nearest foot?
Answer:
Step-by-step explanation:
It is C
Answer: C- 303
Step-by-step explanation:
Robert must read a few books from his home library. He read any 4 out of 6 books from the top shelf, and then any 2 out of 3 books from the middle shelf and then any 3 out of 6 books from the bottom shelf. In how many ways can Robert read the books, if different orders in which the books will be read count as different ways
Answer:
Robert can read the books in 129,600 different ways.
Step-by-step explanation:
The order in which the book are read is important, which means that the permutations formula is used to solve this question.
Permutations formula:
The number of possible permutations of x elements from a set of n elements is given by the following formula:
[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]
Top shelf:
4 books from a set of 6. So
[tex]P_{(6,4)} = \frac{6!}{2!} = 360[/tex]
Middle shelf:
2 books from a set of 3. So
[tex]P_{(3,2)} = \frac{3!}{2!} = 3[/tex]
Bottom shelf:
3 books from a set of 6. So
[tex]P_{(6,3)} = \frac{6!}{3!} = 120[/tex]
Total:
360*3*120 = 129,600
Robert can read the books in 129,600 different ways.
Write the hourly wage 15 dollars an hour as a fraction
it can be written like this, hope this helps: $15/hour <3
The hourly wage 15 dollars an hour as a fraction is $15/1hr.
What is a fraction?A fraction represents a part of a number or any number of equal parts.
There is a fraction, containing numerator(upper value) and denominator(lower value).
When the numerator is less than the denominator, the fraction is called proper fraction, otherwise it is called improper fraction.
A proper fraction is also called fraction which is less than 1.
And an improper fraction is ≥ 1
A mixed fraction contains a sum of whole number and a proper fraction.
Given;
wage of 1hour = $15
In fraction;
15dollars/1hour
Therefore, the answer in fraction will be 15/1
Learn more about fraction;
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