Insurance companies A and B each earn an annual profit that is normally distributed with the same positive mean. The standard deviation of company A’s annual profit is one half of its mean. In a given year, the probability that company B has a loss (negative profit) is 0.9 times the probability that company A has a loss.Calculate the ratio of the standard deviation of company B’s annual profit to the standard deviation of company A’s annual profit.(A) 0.49(B) 0.90(C) 0.98(D) 1.11(E) 1.71

Answers

Answer 1

Answer:

C. 0.98

Step-by-step explanation:

Let x be the mean of Company A and B annual profit and x/2 and y are standard deviation of Company A and B annual profit.

P(B<0) = 0.9*P(A<0)

P(Z<(0-x)/y) = 0.9*P(Z<(0-x)/(x/2))

P(Z<-x/y) = 0.9*P(Z<-2)

P(Z<-x/y) = 0.0205

x/y =2.04

Or y/x = 1 /2.05

y/x =0.49

Ratio of the standard deviation of company B annual profit to the standard deviation of company A annual profit =y/(x/2)

= 2*(y/x)

= 2*0.49

= 0.98


Related Questions

-X² + 5x - 6 = 2
Using the quadratic formula

Answers

[tex]-x^2+5x-6=2\\-x^2+5x-6-2=0\\-x^2+5x-8=0\\[/tex]

↝ Form into [tex]ax^2+bx+c = 0[/tex] where a > 0 (Optional)

[tex]x^2-5x+8=0[/tex] ↝ Multiply -1 for both sides.

↝ Then proceed with the Quadratic Formula.

x = [-b ± (√b²-4ac)]/2a ↝ Quadratic Formula

[tex]x=\frac{-(-5)+-\sqrt{(-5)^2-4(1)(8)}}{2(1)}\\x=\frac{5+-\sqrt{25-32}}{2}\\[/tex]

↝ As you can see that inside the square root, the numbers cannot be negative. Therefore, the solutions are imaginary.

Solution with Real Numbers  System ↝  There are no real solutions.

Solution with Complex Number System

[tex]x=\frac{5+-\sqrt{25-32}}{2}\\x=\frac{5+-\sqrt{-7}}{2}\\x=\frac{5+-\sqrt{7}i }{2}[/tex]

Therefore, the answer for Complex Number System is (5±√7i)/2

Robert is working two summer jobs, making $10 per hour babysitting and making
$25 per hour tutoring. In a given week, he can work no more than 10 total hours and
must earn a minimum of $130. If Robert worked 4 hours tutoring, determine the
minimum number of whole hours babysitting that he must work to meet his
requirements. If there are no possible solutions, submit an empty answer.

Answers

Answer:

3 hours

Step-by-step explanation:

The equation will be

10b+25t ≤ 130 (b = hours of babysitting, t = hours of tutoring)

Plug in the 4 hours of tutoring

10b+(25 times 4) ≤ 130

= 10b+100 ≤ 130

10 times 3 = 30, which answers the question

Since 100 + 30 = 130

Therefore, the answer to the minimum amount of hours Robert has to tutor

to make a minimum of $130 is . . .

3

Halla el perímetro y el área de un rectángulo cuyos lados miden 6,3 dm y 48 cm respectivamente

Answers

Answer:

El perímetro y el área de un rectángulo cuyos lados miden 6,3 dm y 48 cm es 222 cm y 3024 cm² respectivamente.

Step-by-step explanation:

Para empezar debes tener en cuenta que las medidas tienen que estar en la misma magnitud; por lo tanto en este caso la unidad de medida elegida a utilizar es centímetros. Por lo que el lado que mide 6,3 dm será expresado en cm. Entonces se puede aplicar la siguiente regla de tres simple: si 1 dm equivale a 10 cm, entonces 6,3 dm a cuántos cm equivale?

[tex]cm=\frac{6,3 dm*10 cm}{1 dm}[/tex]

cm=63

Entonces 6,3 dm= 63 cm

El perímetro es la distancia alrededor de una figura, mientras que el área es las unidades cuadradas dentro de una figura.

El Perímetro de un rectángulo es igual a la suma de todos sus cuatro lados.  Un rectángulo siempre tiene dos pares de longitudes iguales. Entonces en este caso se obtiene:

63 cm + 63 cm + 48 cm + 48 cm= 222 cm

El área de un rectángulo es el producto de la longitud de los lados. Entonces en este caso se obtiene:

63 cm* 48 cm= 3024 cm²

El perímetro y el área de un rectángulo cuyos lados miden 6,3 dm y 48 cm es 222 cm y 3024 cm² respectivamente.

Evaluate [(30 + 6) - 34 = 9 divided by 2

Answers

Answer:

2=9/2

Step-by-step explanation:

VERY HARD MATH QUESTION PLEASE HELP PLEASE SOMEONE ASAP HELP ME PLEASE DUDE PLEASEE (I linked the question as an attachment)

Answers

Answer:c and then d

Step-by-step explanation

Answer: Question 1: A) 1 and 6

              Question 2: C)110 Degrees

Corresponding angles are angles that have the same degree.

Please mark brainliest if this helped :)

Nico paid $15.32 for 4.3 pounds of blueberries. Nico estimated the cost per pound to be $5.00. Which statement explains Nico’s error? WILL GIVE BRAINLEST DIDN"T SPELL RIGHT BUT ASAP. ONLY 10 MINS SO PLEASE HURRY.


1. Nico rounded $15.32 to $15.00 and 4.3 pounds to 6 before dividing.

2.Nico rounded $15.32 to $15.00 and 4.3 pounds to 3 before dividing.

3. Nico rounded $15.82 to $16.00 and 4.3 pounds to 4 before dividing.

4. Nico rounded $15.32 to $10.00 and 4.2 pounds to 2 before dividing.

Answers

Answer:

Nico rounded 15.32 to 15.00 and 4.3 pounds to 3 before dividing

This has to be it for it to equal 5.00

Step-by-step explanation:

Hopefully I helped answer your question

Brainliest plz

6-3-4x+1=
No solutions

Answers

Answer:

Yes, it's correct. Is that what you were asking for, or is there a part of the question that is missing?

Step-by-step explanation:

Answer:

x = -1  hope this is what you need :)

Step-by-step explanation:

Hey can someone please help me with this

Answers

Answer:

x = -2

The graph is the top one on the left.

What is the sum of 2.61 and 58.107?​

Answers

Answer:

60.717 , because 2.61 + 58.107 = 60.717

Step-by-step explanation:

Robert has fish, chickens, and dogs. There are 28 eyes total and 16 legs total. Also, there are twice as many fish as chickens. How many dogs are there?

Answers

4 dogs because of 16 legs?

Answer:

There are 2 dogs

Explaination:

If there are 28 eyes in total,

Dogs- 4 eyes

Chickens- 8 eyes

Fishes - 16 eyes

In total they have 28 eyes

if there are 16 legs,

Dogs- 8 legs

Chickens- 8 legs

Fishes- 0 legs

So,

2 Dogs

4 Chickens

8 Fishes

( the problem even said that there are twice as many fish as chickens)

Find A and B if the graph of Ax + By = 12 passes through (2, 1) and is parallel to the graph of 2x − 7y = 3.

HELLPPPPPP

Answers

Answer:

A=-2 and B=7

Equation is -2x+7y=3

Step-by-step explanation:

there are 6 rows of 16 chairs set up for the third-grade play. In the first 4 rows 2 chairs on each end are reserved for teachers. The rest of the chairs are for students. How many chairs are there for students? please HELP!

Answers

Answer: 102

Step-by-step explanation:

How many meters Penelope jogs in 3 laps

Answers

Penelope jogs 966 meters in 3 laps

pls help I need the answer quick! ​

Answers

Answer:

the blue line

Step-by-step explanation:

A _______________ is a classification tool that reveals the various possibilities in the comparison of variables for a chi-square.

Answers

Answer:

A contingency table

Step-by-step explanation:

Hypothesis tests carried out on contingency tables are based on the chi-square, a statistic.

The contingency table is a Frequency tables of two variables presented at the same time. These tables are constructed when we represent all the levels of a variable as rows in a table and represent the other variables as columns, after which we find the joint or cell frequency for every of the cell.

Ms. Avella’s class volunteers at an animal shelter one day per week.each student is responsible for caring for four animals during every hour spent at the shelter

Please help

Answers

Answer:

Option (3)

Step-by-step explanation:

Since, every student is responsible for the caring of 4 animals during every hour,

Number of animals cared for ∝ Number of hours spent at shelter  

a ∝ h

a = kh

Here 'k' = proportionality constant

For h = 1 and a = 4,

k = [tex]\frac{h}{a}=\frac{4}{1}[/tex]

k = 4

a = 4h

By this equation,

For h = 2,

a = 8

For h = 3,

a = 12

For h = 4,

a = 16,

For h = 5,

a = 20

Since, for every input value there is a different output value,

Diagram shows a function.

Therefore, Option (3) will be the correct option.

8-4 1/2??????????????????????????????????

Answers

Answer:

[tex]\frac{7}{2}[/tex]

Step-by-step explanation:

[tex]4\frac{1}{2} = \frac{9}{2}[/tex]  [tex]\frac{8}{1} = \frac{16}{2}[/tex]  [tex]\frac{16}{2} - \frac{9}{2} = \frac{7}{2}[/tex]  

I hope this helps!

Find the value of x. Then, find the measure of each labelled angle.

x=_
(7x+10)°=_
(15x+16)°=_​

Answers

Answer:

x = 7deg

Step-by-step explanation:

7x + 10 + 15x + 16 = 180 (angles adjacent to each other in a //polygon are supplementary)

22x = 154

x = 7deg

This is a question on polygons and angles. If you wish to venture further into it/understand this topic better, you may want to follow my Instagram account (learntionary), where I post some of my own notes on certain topics and also some tips that may be useful to you :)

Enter the approximate value of 2129 to the nearest tenth.

Answers

Answer:

10.8

Step-by-step explanation: The answer is 10.77032961 the nearest tenth would be the first seven and the second seven is above 5 so you would round up

Find the critical value zα2/ that corresponds to a 91% confidence level. Question 13 options: a) 1.7 b) 1.95 c) 1.81 d) 2.33 e) 2.57

Answers

Answer:

D

Step-by-step explanation:

2.33 I think

The critical value that corresponds to a 91% confidence level is 1.7

What is critical value?

'Critical value is a cut-off value that is used to mark the start of a region where the test statistic, obtained in hypothesis testing, is unlikely to fall in. In hypothesis testing, the critical value is compared with the obtained test statistic to determine whether the null hypothesis has to be rejected or not.'

According to the given problem,

Confidence level = 91%

Now, α = ( 100 - 91 ) %

             = 9%

             = 0.09

Area of each tail = [tex]\frac{0.09}{2}[/tex]

                             = 0.045

Area in the middle = 1 - 0.045

                               = 0.955

Now, if we look up this area on the z-table, the critical value will come as 1.6954, which is nearly equal to 1.7.

Hence, we can conclude, the critical value is 1.7.

Learn more about critical value here: https://brainly.com/question/14508634

#SPJ2

Find the distance from A(15,21) to the line 5x +2y=4. Round your answer to the nearest tenth

Answers

Answer:The distance from a point to a line is

distance(ax+by+c=0,(x0,y0)) = abs(ax0+by0+c)/sqrt(a^2+b^2)

So first convert the formula for the line to standard form

5x+2y=4

5x+2y-4=0

a=5, b=2, c=-4, x0=15, y0=-21

Step-by-step explanation:

Pls answer ! Thanks

Answers

Answer:

The slope is 2

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Which expression is equivalent to -3(4c-2) -2c

A. -8c

B. 8a -34
C. -26a
D. 8a + 7

Answers

Answer:

-3(4c-2) -2c = -14c+6

Step-by-step explanation:

We need to find the equivalent expression for -3(4c-2) -2c.

First we open the brackets as follows :

-3(4c-2) -2c

= -12c+6-2c

=-12c-2c+6

=-14c+6

So, the equivalent expression is -14c+6.

what is descriptive language

Answers

Descriptive language is vivid and specific, and helps someone imagine a scene he didn't witness. ... The word descriptive comes from the Latin descript-, meaning "written down." Something that is descriptive uses an account of words to give us a sense of what it's like.

1 1/2 divided by 2 2/5​

Answers

Answer:

5/8

Step-by-step explanation:

6th grade math I mark as brainliest

Answers

Answer:

False

Step-by-step explanation:

2*2*2*2 is the correct answer

Answer:

False

Step-by-step explanation:

[tex]2^4=2\cdot 4\\\\Simplify\:\:2^4 =16\\Simplify\:\:2\cdot 4 = 8\\\\16=8\\\\\mathrm{The\:sides\:are\:not\:equal}\\\\\mathrm{False}[/tex]

Select the correct answer from each drop-down menu.
Consider the function below Select the correct answer.
Which function is decreasing and approaches negative infinity as x increases?
A.
f(x) = 3(6)x − 2
B.
f(x) = -3(6)x + 2
C.
f(x) = -3(0.6)x + 1
D.
f(x) = 3(0.6)x − 1

Answers

Answer:

The answer is C.

Have A Nice Day


f 144 pieces of candy are placed into candy bags with each bag containing 12 pieces of
candy, how many bags can be filled?

Answers

Twelve bags can be filled. 144 divided by 12 is 12, therefor 12 bags of candy can be filled.

A line passes through the points (–3, –4) and (6, 2)


What is the x-intercept of this line?
please help ahhh

Answers

9514 1404 393

Answer:

  (3, 0)

Step-by-step explanation:

The line through these points intersects the x-axis at x=3.

The x-intercept is (3, 0).

_____

The x-intercept can be computed from ...

  x-intercept = x1 -y1(x2 -x1)/(y2 -y1)

  = -3 -(-4)(6-(-3))/(2-(-4)) = -3 +4(9/6) = -3 +6

  x-intercept = 3

__

Here, it is simple enough to plot the points and see where the line crosses the x-axis.

What is the slope of the line that passes through the points (2, -3) and (2, 13)
Write your answer in simplest form.

Answers

Answer:

The answer is undefined

Step-by-step explanation:

The slope of the line that passes through points (2, -3) and (2, 13) is not defined.

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

The line that passes through points (2, -3) and (2, 13)

The slope 'm' of any straight line is given by:

[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]

Plug the values to find the slope of the line:

m = (13 + 3)/(2-2) = 16/0 = not defined

Thus, the slope of the line that passes through points (2, -3) and (2, 13) is not defined.

Learn more about the linear equation here:

brainly.com/question/11897796

#SPJ2

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