Answer:
That would be 40%.
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?
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.
Learn more here:
https://brainly.com/question/13299273
A recipe for pancake batter uses 2 cups of flour and makes 10 small pancakes. How many cups of flour are needed to make batter for 25 small pancakes?
Answer: 4.5 cups
Step-by-step explanation:
2:10
4:20
half of a cup would be 5 pancakes
so, 4.5 cups of flour will make 25 pancakes.
what is the answer 2x5-5=
aight man can someone help me lol
Answer: 11/24
Step-by-step explanation:
whenever u see this — (
it means the opposite of. so the opposite of -5/8 is +5/8.
-1/6 + 5/8 = 11/24
A bowl of soup at 95!C (too hot) is placed in a 22!C room. One minute later, the soup has cooled to 83!C. When will the temperature be 49!C (just right)?
Answer:
in 3 minutes and 50 seconds
Step-by-step explanation:
soup = 95c
after 1 minute = 83c
after 2 minutes = 71c
after 3 minutes = 59
soup cools down 0.2c in 1 seconds
so 10 seconds = 2c
in 3 minutes and 50 seconds = 49c
The temperature 49°C of soup bowl will be after 5.54 minutes
Newton law of coolingAccording to Newton's law of cooling, the rate of loss of heat from a body is directly proportional to the difference in the temperature of the body and its surroundingsThe formula is as follow:[tex](T-T_{s} )=(T_{0} -T_{s} )e^{-kt}[/tex]
What are the steps to solve this problem?Given[tex]T =[/tex] 83°C and 49°C
[tex]T_{s} =[/tex] 22°C
[tex]T_{0} =[/tex] 95°C
We have to find value of t for that first we will find value of k and applying all values in formula we get,(83-22)=(95-22)[tex]e^{-k}[/tex]
∴ k = -ln (61/73)
Now,
(49-22) = [tex]e^{ln(61/73)t}[/tex]
∴ t = [tex]\frac{ln (27/73)}{ln(61/73)}[/tex]
∴ t = 5.54 minutes
So, after 5.54 minutes temperature will be 49°C
Learn more about Newton's Law of Cooling here:
https://brainly.com/question/13748261
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A bake sale sells cupcakes for $.75 and brownies for $.50 Billy spends $10 at the sale using C for cupcakes and beef or brownies write a linear equation for the amount spent by Billy for cookies and brownies
Answer:
Stuck on it
Step-by-step explanation:
I will give brainiest to whoever answers correctly !!
Please help! I’ll mark you as brainliest if correct
Answer:
Both answers are correct
how do you create a graph for linear equation? I need to graph 3x=4
Answer:
Look at the graph below, hope this helped.
Step-by-step explanation:
Please help with this please
Answer:
19. w * 32
20. p / 41
Step-by-step explanation:
Product is multiplication, divided by is division.
Make sure you pay attention to what the problem says, because multiplication terms can be moved around, but division has to go a certain way.
p / 41
is not the same as
41 / p
however
w * 32
is the same thing as
32 * w
What's the value of 280?
Question 5 options:
28
1
0
128
Answer:
28⁰ = 1
Step-by-step explanation:
If you raise a number to the power of zero, it becomes 1, regardless of the number. The only exception is 0⁰, which is undefined. Any other value to the power of zero equals one.
The easiest way to see it is like this:
Pick any value, we'll call it x
x⁴ = x⁵ / x
x³ = x⁴ / x
x² = x³ / x
x¹ = x² / x
x⁰ = x¹ / x
Because x¹ is equal to x, then x⁰ is just x/x, which is always equal to 1, unless x is equal to zero.
Answer:
280^0 is 1
Step-by-step explanation:
with exponents u have to multiply the base (280) by whatever the exponent is (0), but since the exponent is 0, use multiplicative identity to get 1. any number to ^0 is 1 because its the same as the product on no number at all (0)
its really confusing but i tried my best to explain it lol T-T
What is the slope of the line which passes through (1, 4) and (0, 1)?
Im getting kicked out the house if i fail this please help
Answer:oop I put the answer in da wrong play my bad have a good day or night
Step-by-step explanation:
M=2
Need help ASAP swill mark Brainly
Answer:
B
Step-by-step explanation:
Hope it helps!
Answer:
-1 and 1/7
Step-by-step explanation:
hope this helps! have a great day!
HELP ME PLS stock worth $60 a share dropped in value by 20% on Monday. Then it dropped again by 10$ the next Tuesday. And finally increased by 55% the following Friday. What was the final price of a share?
Answer:
58.90
Step-by-step explanation:
Use a graphing utility to approximate the solutions (to three decimal places) of the equation in the interval [0, 2). (Enter your answers as a comma-separated list.)
7 csc^2 x + 3.5 cot x − 35 = 0
Answer:
Trigonometric equations are, as the name implies, equations that involve trigonometric functions. Similar in many ways to solving polynomial equations or rational equations, only specific values of the variable will be solutions, if there are solutions at all. Often we will solve a trigonometric equation over a specified interval. However, just as often, we will be asked to find all possible solutions, and as trigonometric functions are periodic, solutions are repeated within each period. In other words, trigonometric equations may have an infinite number of solutions. Additionally, like rational equations, the domain of the function must be considered before we assume that any solution is valid. The period of both the sine function and the cosine function is 2π. In other words, every 2π units, the y-values repeat. If we need to find all possible solutions, then we must add 2πk, where k is an integer, to the initial solution. Recall the rule that gives the format for stating all possible solutions for a function where the period is 2π:
sinθ=sin(θ±2kπ)
There are similar rules for indicating all possible solutions for the other trigonometric functions. Solving trigonometric equations requires the same techniques as solving algebraic equations. We read the equation from left to right, horizontally, like a sentence. We look for known patterns, factor, find common denominators, and substitute certain expressions with a variable to make solving a more straightforward process. However, with trigonometric equations, we also have the advantage of using the identities we developed in the previous sections.
Step-by-step explanation:
Trigonometric equations are, as the name implies, equations that involve trigonometric functions. Similar in many ways to solving polynomial equations or rational equations, only specific values of the variable will be solutions, if there are solutions at all. Often we will solve a trigonometric equation over a specified interval.
my teacher would like me to solve this using fraction ex:(345/x=727/2355) (just a heads up!!) please help :) *the ratios are to be turned into fractions.*
Answer:
84
Step-by-step explanation:
52%of math problem are pointless.
52%of math problem= pointless
52%of 175
(52/100)×175
91=pointless
math problem - pointless =non pointless
175 - 91 = 84
Plz help me Plz this is 7th grade math
Answer:
d=90 e=99 f=81
Step-by-step explanation:
d is a right triangle so its a 90 degree, e is vertical angle so it would be the same as the one ajacent so its 99. F is a linear pair with e so its 81 because 180-99=81.
Find each difference.
A: (−5)−6
B: 35−(−8)
C: −438−(−114)
Answer:
A = -11
B = 43
C = -324
Step-by-step explanation:
-5 - 6 = -11
35 + 8 = 43
-438 + 114 = -324
lOOK AT THE SUN COME BACK THEN LOOK AT MY QUESTION.
the first one 4 x (7-3)
Answer:
Step-by-step explanation:
4×(7-3)
How many gallons of a 50% antifreeze solution must be mixed with 80 gallons of 30% antifreeze to get a mixture that is 40% antifreeze? Use the six-step method.
You need ___ gallons.
Expand the logarithm. Simplify, if possible.
log7(49^w)
Step-by-step explanation:
Let x = log7(49^w).
We have 7^x = 49^w.
=> 7^x = (7^2)^w
=> 7^x = 7^2w.
=> x = 2w.
Therefore log7(49^w) = 2w.
Find the circumference of a circle with the radius 13.4 feet. Round your answer to two decimal places.
Step-by-step explanation:
circumference = 2πr
π = 3.14
r = 13.4
2 × 3.14 × 13.4 = ¯\_(ツ)_/¯
On average, Nancy has noticed that 18 trucks pass by her apartment daily (24 hours). In order to find the probability that more than 4 trucks will pass her apartment in a 5-hour time period using the Poisson distribution, find the average number of trucks per 5 hours. Round your answer to three decimal places, if necessary.
Answer:
the average number of trucks per 5 hours is 3.750 trucks per 5 hours
Step-by-step explanation:
The computation of the average number of trucks per 5 hours is given below:
= Number of trucks passed ÷ time taken × given time
= 18 trucks ÷ 24 trucks × 5
= 3.750 trucks per 5 hours
Hence, the average number of trucks per 5 hours is 3.750 trucks per 5 hours
The same is to be considered by applying the above formula
After selecting 180 of its employees to from a new division, a company discovers that engineers outnumber analysts by a 3:1 ratio in the division. Oly analysts and engineers work in the new division. How many more analysts must the company add to the division if it wants to have a 1:1 ratio of engineers to analysts at the new division?
Answer:
I think its 90
Step-by-step explanation:
3x plus 1x is 4x divide 180 but 4 and get 45 so that meab there are 135 and 45
you need 90 more analysts to have a 1 to 1 ratio
what am i supposed to put in that chart?
Answer:
as explained
Step-by-step explanation:
as in the photo i've shown :
i've shown the table for you both
i've shown the graph for one only the second one hope you can complete it if you have any questions you can ask.
for first one
if x=2 replace x=2 in f(x) you will get f(2)=4
f(3)=1
f(4)=0
f(5)=1
f(6)=4
Why did I start with x=2 and not x=1 because f(1)=9 in the graph provided there is no marking for y=9 but when drawing the graph extends it (as in photo 3 not as in photo 4)(graph in photo 3 is better)
Hope you understand(you can also put(2,4) ,(3,1) and so on in the graph as in photo 5
12x12x12x10.4 in a ahedron
Answer:
it 17971.2 ;)
Step-by-step explanation:
Solve for x.
3x-161
7x-382
Answer:
Step-by-step explanation:
7x - 382 = 3x - 161
4x - 382 = -161
4x = 221
x = 55.25
write the slope of x+2y=16 pls help fast
Answer: [tex]-\frac{1}{2}[/tex]
Step-by-step explanation:
To find the slope, let's turn the equation into slope-interept form. In slope intercept form, y=mx+b, we know that m=slope.
[tex]x+2y=16[/tex] [subtract both sides by x]
[tex]2y=-x+16[/tex] [divide both sides by 2]
[tex]y=-\frac{1}{2}x+8[/tex]
Now, we know that [tex]m=-\frac{1}{2}[/tex]. That tells us [tex]-\frac{1}{2}[/tex] is the slope.
Step-by-step explanation:
x+2y=16
-× -×
2y=-x+16
÷2. ÷2
y=-1/2x+8
slope is -1/2
6x – 5 = 37 Please help I need it
98 points Please help
Answer: X = 7.
Step-by-step explanation: Move all terms that don't contain x to the right side and solve.
I'll go step-by-step.
1. Add 5 to both sides. 6x-(5+5)=37+5
2. Simplify 6x=42
3. Divide both sides by 6. [tex]\frac{6x}{6} =\frac{42}{6}[/tex]
4. Then simplify/Divide. 42 / 6 = 7
That's how you get 7!
X = 7
Hey there!
6x - 5 = 37
ADD 5 to BOTH SIDES
6x - 5 + 5 = 37 + 5
CANCEL out: -5 + 5 because it gives you 0
KEEP: 37 + 5 because it help solve for the x-value
NEW EQUATION: 6x = 5 + 37
SIMPLIFY IT!
6x = 42
DIVIDE 6 to BOTH SIDES
6x/6 = 42/6
CANCEL out: 6/6 because it give you 1
KEEP: 42/6 because it gives you the x-value
NEW EQUATION: x = 42/6
SIMPLIFY IT!
x = 7
Therefore, your answer is: x = 7
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
