Consider a company that has two different divisions. The annual profits from the two divisions are independent and have distributions Profit1 ~ N(5, 3^2) and Profit2 ~ N(7, 4^2) respectively. Both the profits are in $ Million. Assume that $1 = Rs. 45
A. Specify a Rupee range (centered on the mean) such that it contains 95% probability for the annual profit of the company.
B. Specify the 5th percentile of profit (in Rupees) for the company
C. Which of the two divisions has a larger probability of making a loss in a given year?
Answers
Answer:
a) Rs 603.68
b) Rs 476.33
c) first division
Step-by-step explanation:
Total profit = profit 1 + profit 2 = P
hence P ~ N(12,74) = [tex]\frac{P-12}{\sqrt{74} } ~ N(0,1)[/tex]
A ) Specifying a Rupee range ( centered on the mean ) that contains 95% probability for annual profit of the company
$13.41 = Rs 603.68
B) specifying the 5th percentile of profit
p = $10.59 ≈ Rs 476.33
C) The division that has a larger probability of making a loss in a given year is the first division
attached below is a detailed solution of the given problem
A): Range containing 95% probability for profit of company is
(Rs. 99M, Rs. 1026M).
B): Rs. 170.1 Million.
C): First division of the company has larger probability of making a loss.
Given that:
$1 = Rs. 45
[tex]Profit_1 \sim N(5, 3^2) \\ Profit_2 \sim N(7, 4^2)[/tex]
Thus,
Company's profit:
[tex]P \sim N( 5+7, 3^2 + 4^2) = N(12, 5^2)[/tex]
A):
95% of the probability lies between 1.96 standard deviations of the mean.
Thus range is:
[tex]= (12 - 1.96\times 5, 12 + 1.96 \times 5)\\\\= (\$2.2M, \$22.8M)\\ \\= (\rm Rs. \: 99M, \rm Rs. \: 1026M)[/tex]
B): Fifth percentile is calculated as:
[tex]P(Z \leq \dfrac{p-12}{5}) = 0.05[/tex]
From p values of z score table, we get:
[tex]\dfrac{p-12}{5} = -1.644\\p = 12 - 8.22 = 3.78\\[/tex]
Thus at $3.78M dollars, or Rs. 170.1M amount, 5th percentile of profit lies.
Or 5th percentile of profit is Rs. 170.1 Million.
C): Loss is when profit < 0
Thus: p < 0
The first division of company, thus have larger probability of making a loss in a given year.
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Related Questions
I will give brainiest to whoever answers correctly !!
Answers
Help me answer, please.
Answers
d. If you had a block of each type of wood with the same dimensions, how would their weights compare? Explain.
Answers
Answer:
They would be the same dimensions so the weight should also be the same. For example if you have 3 rectangle boxes dimesions are 4 by 8, let's say the box weighs 32 pounds, then the other two boxes will weigh the same amount too because it is the same dimensions. This is only true for if the same thing is inside each box of, course if there is a toy in one box, a 50- pound weight in the other box, and a steak in the last box, yeah all the boxes will weigh different.
Step-by-step explanation:
You are given the following information about y and x.
Y X
Dependent Independent
Variable Variable
5 15
7 12
9 10
11 7
Question: The least Squares of b1 equals?
a.) -0.7647
b.) -0.13
c.) 21.4
d.) 16.412
Question: The least squares estimate of bO equals?
a.) -7.647
b.)-1.3
c.) 21.4
d.) 16.41176
Question: The sample correlation coefficient equals
a.)-86.667
b.)-0.99705
c.0.9941
D.0.99705
Question: The coefficient of determination equals
a.) -0.99705
b.)-0.9941
c.)0.9941
d.)0.99705
Answers
Answer:
A ; D ; B ; D
Step-by-step explanation:
Given the data:
Dependent Independent
Variable Variable
Y ___ X
5 __ 15
7 __ 12
9 __ 10
11 __ 7
The general regression equation is of the form /
Y = B0 + BiX
Y = dependent variable ; B0 = intercept ` B1 = slope ; X = independent variable
Using calculator, the model obtained for the model is :
Y = 16.41176 - 0.7647x
Hence,
Least square estimate for b1 = - 0.7647
Least square estimate for b0 = 16.41176
Correlation Coefficient (R) = - 0.99705
The Coefficient of determination (R²) = - 0.99705^2 = 0.994108
.
During the 2013 Major League Baseball season, a home run over the left field wall typically reached a maximum height of 81 feet, and would have traveled a distance of 378 feet from home plate. Assuming the average batter hits the ball three feet from the ground, write a function for the trajectory of the average home run.
Answers
Answer:
The Green Monster is a popular nickname for the 37-foot-2-inch-high (11.33 m) left field wall at Fenway Park, home to the Boston Red Sox baseball team. The wall is 310 feet (94 m) from home plate and is a popular target for right-handed hitters.
Step-by-step explanation:
HELP PLS ASAP 50 POINTS YOU CAN SAVE MY GRADE PLS
Evaluate the expression below when x = 5.
3x(2x - 7)
A.) 0
B.) 24
C.) 45
D.) 143
Answers
Answer:
45
Step-by-step explanation:
[tex]3(5)(2 \times 5 - 7) \\ 15(10 - 7) \\15 \times 3 = 45[/tex]
3(5)(2x5-7)
15(10-7)
15x3=45
i need help! please....
Answers
Answer: the elapsed time is 3 hours and 45 minutes, so option C.
Slope-Intercept Form of 3x – 4y – 16 = 0
Answers
Answer:
Y= 3/4x - 4
Step-by-step explanation:
Hey there!
The answer to your question is y = 3/4x - 4
We have to solve for y:
3x - 4y - 16 = 0
3x - 4y = 16
-4y = -3x + 16
y = 3/4x - 4
Hope it helps and have an amazing day!
Hey please help me! (12 points)
Answers
Answer:
10
Step-by-step explanation:
5×10= 50
6×10=60
8×10=80
so its going by ×10
Answer:
C/10
Step-by-step explanation:
k=y/x
10=50/5
need help asap please
Answers
Answer:
[tex]\displaystyle no[/tex]
Step-by-step explanation:
We do not have enough information to use this theorem. We only have one side and two right angles marked. Hence, you have your answer.
I am joyous to assist you at any time.
please help
Evaluate the quotient of 1.05 x 10^3 and 1 x 10^3
1.05 x 10^ -6
1.05 x 10^ 9
1.05 x 10^ 6
1.05 x 10^ 0
Answers
Answer:
Answer: 1.05 x 10^ 0
Step-by-step explanation:
Scientific Notation
Evaluate the expression:
[tex]\displaystyle \frac{1.05\cdot 10^{3}}{1\cdot 10^{3}}[/tex]
Divide the coefficients, copy the base, and subtract the exponents:
[tex]\displaystyle \frac{1.05\cdot 10^{3}}{1\cdot 10^{3}}=\displaystyle \frac{1.05}{1.00}\cdot 10^{3-3}[/tex]
Operating:
[tex]\displaystyle \frac{1.05\cdot 10^{3}}{1\cdot 10^{3}}=\displaystyle 1.05\cdot 10^{0}[/tex]
Answer: 1.05 x 10^ 0
‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️Which of the following are point-slope equations of the line going through
(-2,-2) and (2, 1)? Check all that apply.
A. y+2 =3/4 (x+2)
B. y-2 =-3/4 (x-1)
C. y-2 = 3/4(x-2)
D. y+2 = -3/4(x + 2)
E. y-1 =-3/4 (x - 2)
F. y-1 =3/4 (x-2)
Answers
y-y1=m(x-x1)
m=slope
To complete point-slope formula, we would input one set of coordinates.
(-3, 4) and (2, 1)
FIRST SET...
y-4=m(x--3)
y-4=m(x+3)
SECOND SET
y-1=m(x-2)
I am having a hard time interpreting your pasted copy of the possible answers. However, I can see that the slope is considered negative in all but the last answer.
Slope is defined as change-of-y divided by change-of-x...
m=(y-y1)/(x-x1)
(-3, 4) and (2, 1)
m=(4-1)/(-3-2)
m=3/-5
m=-3/5
It is a negative number. Yo
8x + y = 17
5x + 5y = –20
Answers
Answer:
X=3 Y=-7
Step-by-step explanation:
You can solve a system of equations a number of ways. Substitution makes the most sense in this case. Take the top equation and set it equal to y making it: y=17-8x
Then substitute y in the bottom equation for the y solved in the top. So,
5x + 5(17-8x) = -20
Then solve for x
x=3
Now that we know x, plug it back into the equation for y
y = 17 - 8(3)
y = -7
So your solution is (3, -7)
Answer:
Step-by-step explanation:
40x + 5y = 85
-5x - 5y = 20
35x = 105
x= 3
15 + 5y = -20
5y = -35
y = -7
(3, -7)
A water tank is 90 m long and 60 m wide. What is the
volume of the water in the tank if the depth of water is
40 m?
What’s the answer ??
Answers
Answer:
216000 m^3
Step-by-step explanation:
Volume of water
= length of tank x width of tank x depth of water
= 90(60)(40) m^3
= 216000 m^3
just multiply l•w•d
90m•60m•40m
Please solve using dimensional analysis
Answers
Answer:
34^23 (that is 34 to the 23 power)
Step-by-step explanation:
Do 3.4x10^23=34^23
Solve for X:
9x - 3- &r=7-X
Answers
Answer:
9x-3-&r=7-X
Taking 7 to the left side of the equation,we have
9x-3-&r-7=-X
Multiplying through by -1 we have -1(9x-3-&r-7)=-1(-X)
which is -9x+3+&r+7=X
Therefore X= 7+&r+3-9x
solve for c
c+d=15
3c+2d=36
Need help RIGHT NOW will mark brainliest
Answers
Multiply the top by -2 and just cross elimination the rest. Hope this helps.
5k + (-7) = 13 what does k =
Answers
Answer:
k = 4
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtract Property of EqualityStep-by-step explanation:
Step 1: Define
5k + (-7) = 13
Step 2: Solve for k
Simplify equation: 5k - 7 = 13Addition Property of Equality: 5k - 7 + 7 = 13 + 7Simplify equation: 5k = 20Division Property of Equality: 5k/5 = 20/5Simplify equation: k = 4Step 3: Check
Plug in k into the original equation to verify it's a solution.
Substitute in k: 5(4) + (-7) = 13Multiply: 20 + (-7) = 13Add: 13 = 13Here we see that 13 does indeed equal 13.
∴ k = 4 is the solution to the equation.
Answer:
Step-by-step explanation:
Here you go mate
PEMDAS
Parenthesis
Exponent
Multiplication
Division
Addition
Subtraction
Step 1
5k+(-7)=13 Equation/Question
Step 2
5k+(-7)=13 Remove parenthesis
5k=20
Step 3
5k=20 Divide 5 from the sides Check (5)(4)=20
answer
4
Given the test result, the probability that carbon emissions from the factory are actually within the permissible level is
.
Answers
Answer: 0.9132
Step-by-step explanation: PLATO
Decide whether the two equations are equations are equivalent 7v-3/2=5 14v-3=15 sho work
Answers
Answer:
Not equivalent.
Step-by-step explanation:
The given equations are :
7v-3/2=5 ....(1)
14v-3=15 ....(2)
Taking equation (1) first,
7v-3/2=5
Adding 3/2 to both the sides.
7v-3/2+3/2=5+3/2
7v = 6.5
v = 0.928
Taking equation (2).
14v-3=15
Adding 3 to both sides.
14v-3+3=15+3
14v=18
v = 1.285
So, the values of v in both equations ar not the same. It means two equations are not equivalent.
Plz help. I rally need it
Answers
Answer:
8
Step-by-step explanation:
The following are house prices in Southern California:
$700.000 $580.000 $600.000 $580.000 $800.000 $760.000 $780.000
What is the median house price?
$700.000
$750.000
$685.000
$580.000
Answers
Answer:
The median would be $700.00 dollars
The mean would be $685.71 dollars
The mode would be $580.00 dollars
Step-by-step explanation:
May I have brainiest please I'm trying to level up!
</3 PureBeauty
Answer:
/Its $700.000
Step-by-step explanation:
its the middle number
can some one help me with this answer?
Answers
Answer:
30
Step-by-step explanation:
Answer:
Its 30
Step-by-step explanation:
Please solve thank you if so
Answers
Answer:
5(3) + i = 30
15 + i = 30
Step-by-step explanation:
An architect is reading a plan that is drawn on a scale of 0.65 inches to 1.25 ft. If the plan says that a room is 10 feet high, how high is the roof in the drawing?
9.19 inches.
5.2 inches.
8.13 inches.
19.23 inches.
Please help!!!
Answers
Answer:
5.2
Step-by-step explanation:
I took the Quiz.
If An architect is reading a plan that is drawn on a scale of 0.65 inches to 1.25 ft. If the plan says that a room is 10 feet high, then the roof is 8.13 high in the drawing.
What is fraction?A fraction represents a part of a whole or, more generally, any number of equal parts.
Based on the given conditions formulate 1.25÷10=1+x
If the fraction is defined, the denominator cannot equal 0,x≠0
Append the inequality as the domain x≠0
Multiply both sides by the common denominator:
1.25×10x/10=10x/x
Reduce the fractions: 5x/4=10
5x=40
x=8
It is approximately near to 8.13 inches.
Hence, 8.13 inches high is the roof in the drawing.
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mr. jones asks his students to generate the next two numbers in the sequence
Answers
Answer:
7 0
Step-by-step explanation:
The next two numbers of the series is 27.5 and 44.
What is sequence?A sequence is an enumerated collection of objects in which repetitions are allowed and order matters.
The complete question is:
Mr. jones asks his students to generate the next two numbers in the sequence beginning –5.5, 11, .... taquan suggests that the sequence is geometric and the next two numbers are –22 and 44. julia suggests that the sequence is arithmetic and the next two numbers are 27.5 and 44. which best explains which student is correct?
Given AP = -5.5, 11, ...
a = 5.5
d= 11 - (-5.5) =16.5
Now, a₃ = a₂ + d
a₃ = 11 + 16.5
a₃ = 27.5
and, a₄ = 27.5 + 16.5
a₄ = 44
Now, Taquan case:
a = -5.5
r = 110/-5.5
r = -2
now, a₃ = -2(11) = -22
a₄ = -2(-22) = 44
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1. A right triangle LMN is given where: side MN = 8 side NL (the hypotenuse) =
10 What is the length of side LM?*
Answers
Step-by-step explanation:
[tex] \underline{ \underline{ \text{Given}}} : [/tex]
Length of MN ( Base ) = 8 Length of NL ( Hypotenuse ) = 10[tex] \underline{ \underline{ \text{To \: find}}} : [/tex]
Length of LM ( Perpendicular )[tex] \underline{ \underline{ \text{Using \: pythagoras \: theorem}}} : [/tex]
[tex] \boxed{ \sf{ {Hypotenuse}^{2} = {Perpendicular}^{2} + {Base}^{2} }}[/tex]
⤑ [tex] \sf{ Perpendicular = \sqrt{ {(Hypotenuse)}^{2} - {(Base)}^{2} } }[/tex]
⤑ [tex] \sf{ \sqrt{ {(10)}^{2} - {(8)}^{2} } }[/tex]
⤑ [tex] \sf{ \sqrt{100 - 64}} [/tex]
⤑ [tex] \sf{ \sqrt{36}} [/tex]
⤑ [tex] \boxed{ \sf{6\: units}}[/tex]
[tex] \pink{ \boxed{ \boxed{ \tt{Our \: final \: answer : \boxed{ \underline { \tt{6 \: units}}}}}}}[/tex]
Hope I helped ! ツ
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Hey I'm not good at math! please help me!
Answers
Exact from is -33/8 but in this equation the answer will be in mixed number form so it will be choice number 3.
The ratio of men to women working for a company is 4 to 7. If there are 231 employees TOTAL, how many WOMEN work for the company?
Answers
Answer:
Step-by-step explanation:
4:7::4x:7x
4x+7x=231
11x=231
x=231/11=21
women=7x=7×21=147
if KL = LM and KJ = JM, find m ∠KJL
please, i really need your help!
Answers
7x=3x+16
4x=16
x=4
So KJL=7(4)=28.