A group of men and women were asked what their favorite pet was, and the results of the survey were tabulated.Petey is considering investing $19 in a certain company. Financial advisors forecast that there is a 30% chance that the stock will increase in value by 10%, and a 70% chance he will lose his initial investment. Determine if Petey should make the investment, and find the expected value of the investment.

Answers

Answer 1
You question is of two parts.
For the first part:
A group of men and women were asked what their favorite pet was, and the results of the survey were tabulated.

[tex]\begin{center} \begin{tabular} {|c|c|c|c|c|} & Cats & Dogs & Other & Total \\ [1ex] Male & 42 & 58 & 6 & 106 \\ Female & 52 & 48 & 2 & 102 \\ [1ex] Total & 94 & 106 & 8 & 208 \end{tabular} \end{center}[/tex]

Let event A be defined as randomly choosing someone who picked cats or dogs as their favorite pet. Let event B be defined as a randomly chosen person being male.
Find P(B| NOT A).

P(A) = P(choosing cat) + P(choosing dog) = [tex] \frac{94}{208} + \frac{106}{208} = \frac{200}{208} = \frac{25}{26}[/tex]
P(NOT A) = [tex]1- \frac{25}{26} = \frac{1}{26} [/tex]
P(B and NOT A) = P(males that did not choose cat or dog) = [tex] \frac{6}{208} = \frac{3}{104} [/tex]

P(B | NOT A) = [tex] \frac{P(B \, and \, NOT \, A)}{P(NOT \, A)} = \frac{ \frac{3}{104} }{ \frac{1}{26} } =\frac{3}{104}\times26= \frac{3}{4} [/tex]


For the second part of the question.
Petey is considering investing $19 in a certain company. Financial advisors forecast that there is a 30% chance that the stock will increase in value by 10%, and a 70% chance he will lose his initial investment. Determine if Petey should make the investment, and find the expected value of the investment.

If his investment increases by 10%, the value of the investment will be 1.1 x $19 = $20.90 with a probability of 30% or 0.3

The expected value of the investment is given by
[tex]\$20.90\times0.3+(-\$19\times0.7)=\$6.27-\$13.30=-\$7.03[/tex]

Therefore, Petey should not make the investment as there is an expectation of a loss from the investment.

Related Questions

Oh Plz help - I can't handle this one :)

Answers

a: 5^2*pi = 25pi =~ 78.5375, 10*5*2*pi = 100pi =~ 314.15, 314.15+2(78.5375) =  471.23 cm^2

b: 4*0.5*1.5 = 3, 6*4 = 24, 6*2.5 = 15.5, 15.5*2 + 3*2 + 24 = 61m^2

c: 5.2*3.5 = 18.2, 2.4*3.5 = 8.4, 2.4*5.2 = 12.48, 12.48*2 + 8.4*2 + 18.2*2 = 78.16ft^2

A bit late but hope it helps
a. cynlinder
A = 2 *pi * r^2 + 2 * pi * r * h
A = 2 * pi * 5^2 + 2 * pi * 5 * 10
A = 50 pi + 100 pi
A = 150 * pi cm^2 (Exact Answer)
A = 471 cm^2       (Decimal Approximation)

b.  A(triangles)
A = (1/2) * b * h * 2
A = (1/2) * 4 * 1.5 * 2 
A = 6 m^2
    A(rectangles)
A = L * W
A = 4 * 6 + 2.5 * 6 * 2
A = 24 + 30
A = 54 m^2
Total area = 6 + 54 = 60 m^2

c.  A(rectangular prism)
A = 2LW + 2LH + 2WH
A = 2 * 5.2*2.4 + 2 * 5.2 * 3.5 + 2 * 2.4 * 3.5
A = 78.16 ft^2 

d.  A(rectangular prism)
A = 2LW + 2LH + 2WH
A = 2 *12 * 6 + 2 * 12 * 4.5 + 2 * 6 * 4.5
A = 306 ft^2

e.   You have a large box to wrap and need to know how much wrapping paper will be needed to wrap the box.
The dimensions of the box are  L = 10 in.,  W = 4 in., H = 6 in.

A jar has 4 balls lettered A, E, D, and G. One ball is drawn from the jar and it's letter is noted. A second ball is also drawn without replacing the first ball and it's letter is noted. List all the possible outcomes and find the probability that the letters on the 2 balls drawn consist of at least 1 vowel, no vowels, and the same letter.

Answers

Possible outcomes are AE AD AG ED EG DG
EA DA GA DE GE GD

P( at least one vowel) = 10/12 = 5/6

P( no vowels) = 2/12 = 1/6

P(same letter) = 0

Wich of the operations ,+,-,x➗are inverse o each other

Answers

The correct answers are as follows: Adding (+) and subtracting (-) are inverse to each other. And then multiplication (x) is inverse to division (➗)

What is the approximate distance between the points (-5, 1) and (-2, 3) on a coordinate grid ?

Answers

The distance between two points (x₁, y₁) and (x₂, y₂) is
[tex]d= \sqrt{(x_{2} -x_{1})^{2} + (y_{2}-y_{1})^{2}} [/tex]

Therefore the distance between (-5,1) and (-2, 3) is
[tex] \sqrt{(-2+5)^{2} + (3-1)^{2}} =3.6056[/tex]

Answer: 3.61  (nearest hundredth)

A textile corporation buys equivalent with an initial purchase price of $750000. It is estimated its useful life will be 3 years and at that time it's value will be$75000. The total depreciation is depreciation is divided equally among the three years. What is the total amount of depreciation declared each year?

Answers

First,we have to find the depreciation, which is 750000-75000=675000. Dividing that by 3 (for 3 years), we get 225000 dollars per year

A quadratic equation is shown below: 3x2 − 15x + 20 = 0 Part A: Describe the solution(s) to the equation by just determining the radicand. Show your work. (5 points) Part B: Solve 3x2 + 5x − 8 = 0 by using an appropriate method. Show the steps of your work, and explain why you chose the method used. (5 points)

Answers

Answer:

[tex]\text{The roots of }3x^2+5x-8=0\text{ are }x=1,\frac{-8}{3}[/tex]

Step-by-step explanation:

[tex]\text{Part A: Given a quadratic equation }3x^2-15x+20=0[/tex]  

[tex]\text{Comparing above equation with }ax^2+bx+c=0[/tex]  

a=3, b=-15, c=20

Discriminant can be calculated as

[tex]D=b^2-4ac[/tex]

[tex]D=(-15)^2-4(3)(20)=225-240=-15<[/tex]

The roots are imaginary

The solution is

[tex]x=\frac{-b\pm\sqrt{D}}{2a}[/tex]

[tex]x=\frac{-(-15)\pm \sqrt{-15}}{2(3)}=\frac{15\pm\sqrt{15}i}{6}[/tex]

The roots are not real i.e these are imaginary    

[tex]\text{Part B: Given a quadratic equation }3x^2+5x-8=0[/tex]  

[tex]\text{Comparing above equation with }ax^2+bx+c=0[/tex]  

a=3, b=5, c=-8

Discriminant can be calculated as

[tex]D=b^2-4ac[/tex]

[tex]D=(5)^2-4(3)(-8)=25+96=121>0[/tex]

The roots are real

By quadratic formula method

The solution is

[tex]x=\frac{-b\pm\sqrt{D}}{2a}[/tex]

[tex]x=\frac{-5)\pm \sqrt{121}}{2(3)}=\frac{-5\pm 11}{6}[/tex]

[tex]x=1,\frac{-8}{3}[/tex]

which are required roots.

I choose this method because I can get the solutions directly by substituting the values in formula, and I don't have to guess the possible solutions.

I want to make sure of my answer is right?

Answers

20 2/7 = 142/7 -20/35

find common denominator ( in this case it is 35)

35/7 =5 , multiply 142*5=710, 7*5 =35

142/7 = 710/35

710/35 - 20/35  = 710-20 = 690

690/35 now simplify that fraction

690/35 = 19.714

19*35 = 665

690-665=25

19 25/35

25/35 can reduce to 5/7

answer = 19 5/7


graph the line with the slope 1/3 and y-intercept -2

Answers

Pretty sure I'm right but go plot on -2 on the y axis and go up 1 and move right 3 times

The graph of the line y = (1/3)x - 2 can be plotted on a graph paper by choosing some arbitrary values of x.

What are lines and their slopes?

We know lines have various types of equations, the general type is

Ax + By + c = 0, and equation of a line in slope-intercept form is y = mx + b.

Where slope = m and b = y-intercept.

the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.

The given line in terms of the slope-intercept method can be written as,

y = (1/3)x - 2.

Now to plot the graph on graph paper or any digital tool we have to choose some arbitrary values of x that corresponds to some values of y.

Like at x = 0 y = -2 So, the coordinates are (0, -2).

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Find the length of a to the nearest tenth.

Answers

The last length is approximately 6.5. The angle measure of  angle C is 50 and angle B is 83

A pet store has 7 tanks of fish. Each tank has k fish. Using k, write an expression for the total number of fish in the store.

Answers

Because there are seven tanks, with K fish in each tank, to find it how many fish there are total, you would have to multiply seven by K. Therefore, the expression is 7k.

The expression which represents the total number of fish in the store is 7k.

What is an expression?

A mixture of variables, numbers, addition, subtraction, multiplication, and division are called expressions.

A statement expressing the equality of two mathematical expressions is known as an equation.

As per the given,

Number of tank = 7

Number of fish in each tank = k

The total number of fish = number of tanks x number of fish in each tank

The total number of fish = 7 x k = 7k

Hence "The expression which represents the total number of fish in the store is 7k".

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One number is 2 more than 3 times another. their sum is 22. find the numbers. 8, 14

Answers

x + y = 22
x = 3y + 2

3y + 2 + y = 22
4y + 2 = 22
4y = 22 - 2
4y = 20
y = 20/4
y = 5

x = 3y + 2 = 3(5) + 2 = 15 + 2 = 17

ur numbers are 5 and 17
Let the number be x.

Hence the other number is 2 + 3*x.

Their sum is 22;

x + 2 + 3x = 22

4x + 2 = 22

4x = 20

 Therefore, x = 5

[ 2 + 3x = 2 + 3*5 = 2+15 = 17 ]

Hence the two numbers are, 5 and 17. 

Part B: Find an irrational number that is between 9.5 and 9.7. Explain why it is irrational. Include the decimal approximation of the irrational number to the nearest hundredth

Answers

irrational number between 9.5 and 9.7...

9.678937... (never ending)...it is irrational because it cannot be made into a fraction because it is infinite.

the decimal approximation to the nearest hundredth is : 9.68

An amusement park is installing a new roller coaster. The park intends to charge $5 per adult and $4 per child for each ride. It hopes to earn back more than the $650,000 cost of construction in four years. With the best of weather, the park can provide 125,000 adult rides and 50,000 child rides in one season

Answers

Keeping the price and amount of people in mind, the answer is actually pretty easy to find. Just multiply 125,000 by 5, which equals 625,000 and 50,000 by 4, which equals 200,000, and add the products together to get $825,000 total income per season.

Answer:

Step-by-step explanation:

5x+ 4y greater than or equal to 650,000

500,000

y greater than or equal to 200,00

Answer is : 5x+4y greater than or equal to 650,000

X less than or equal to 500,000

Y is less than or equal to 200,000

2x+3y=-2 4x+7y=-6 solve for the system of equations

Answers

elliminateion

multiply first equation by -2 and add to 2nd equation


-4x-6y=4
4x+7y=-6 +
0x+1y=-2

y=-2
sub back

2x+3y=-2
2x+3(-2)=-2
2x-6=-2
2x=4
x=2

(x,y)
(2,-2)

Use the arc length formula to find the length of the curve y = 5x − 4, −1 ≤ x ≤ 3. check your answer by noting that the curve is a line segment and calculating its length by the distance formula

Answers

The given curve is y = 5x -4,  -1 ≤ x ≤ 3.

The length of the arc is computed from the formula
[tex]S= \int_{-1}^{3} \,\sqrt{1+ (\frac{dy}{dx} )^{2}} \, dx[/tex]

The derivative is 
y' = 5

Therefore
[tex]S = \int_{-1}^{3} \sqrt{1+25} \, dx =\sqrt{26}*(3-(-1))=20.396[/tex]

Note that 
x = -1 +> y = 5(-1) - 4 = -9
x = 3 => y = 5(3) - 4 = 11
The distance between the points (-1, -9) and (3, 11) from the distance formula is
D = √[(3-(-1))² + (11-(-9))²] = √(16+400) = 20.396
This answer agrees with that obtained by integration.

Answer: 20.396
Obtained by integration and verified by the distance formula.

The arc length is 4√26, which is confirmed by the distance formula for a line segment yielding approximately 20.396 units.

To find the length of the curve y = 5x − 4 over the interval −1 ≤ x ≤ 3, we can use the arc length formula for a function y = f(x). The formula for the arc length L is given as:

L = ∫ab√(1 + (dy/dx)2) dx, where dy/dx is the derivative of y with respect to x.

1. Calculate the derivative dy/dx:

y = 5x − 4, so dy/dx = 5.

2. Substitute the derivative into the arc length formula:

L = ∫-13√(1 + 5²) dx = ∫-13√26 dx.

3. Integrate the function:

L = √26 ∫-13 dx = √26 [x]-13 = √26 (3 − (-1)) = 4√26 ≈ 20.396.

To verify this using the distance formula (since the curve is a straight line), we take the points (−1,−9) and (3,11) from the given curve:

4. Apply the distance formula:

Distance = √((x2 - x1)² + (y2 - y1)²), where (x1, y1) = (-1, -9) and (x2, y2) = (3, 11).

Therefore,

Distance = √((3 - (-1))² + (11 - (-9))²) = √((4)² + (20)²) = √(16 + 400) = √416 = 4√26 ≈ 20.396.

Thus, the arc length calculated using the formula and the distance formula are consistent.

The arc length is 4√26, which is confirmed by the distance formula for a line segment yielding approximately 20.396 units.

Walter bought a square plot of land. the perimeter is 544 feet. how wide is the property?

Answers

perimeter of a square = is side times 4

so divide 544 by 4

544/4 = 136

the property is 136 feet wide

The sum of the first and third of three consecutive even integers is 136. find the three even integers.

Answers

Based on your problem, you only have one given. So, you can't make an equation for this because there are not limits to the equation. The only thing that you know is that the three numbers are consecutive even integers. My way of solution for this is trial-and-error. However, it's really quite easy. 

For example: 42 + 46 = 88. I have to increase the numbers more to reach 136. Suppose: 82 + 86 = 168. That exceeded 136. So, it must be between 46 and 82. Suppose again: 66 + 70 = 136. Therefore, the sequence of the consecutive even integers are 66, 68, and 70

The sum of the first and third even integers is 136. By setting up an equation and solving for x, where x is the first integer, we determine that the consecutive even integers are 66, 68, and 70.

The problem asks us to find three consecutive even integers where the sum of the first and third integer is 136. Let's denote the first integer as x, the second integer as x + 2, and the third integer as x + 4 (since consecutive even numbers have a difference of 2). To solve for the values, we set up the equation x + (x + 4) = 136. Simplifying, we get 2x + 4 = 136. Subtracting 4 from both sides gives us 2x = 132. Dividing both sides by 2, we find out that x = 66. So, the first integer is 66, the second integer is 66 + 2 = 68, and the third integer is 66 + 4 = 70.

Therefore, the three consecutive even integers are 66, 68, and 70.

You have a cone with a radius of 4 ft and a height of 12 ft. What is the height of the triangle formed by a perpendicular cross-section through the cone’s center?

Answers

check the picture.

ABC is the triangle formed by a perpendicular cross-section through the cone's center.

The height OC of this triangle, is the height of the cone.

So the height is equal to 12 ft.


Answer: 12 ft.

A low bal will always cause a hangover

Answers

Really dont know. Whats a Bal, or do you mean balance?

Sara is 33 years younger than Rolando. The Sum of their ages is 105. Select the system of equations if Sara's age is represented by S and Rolando's age is represented by R.

A. s+r=33
s=r-105

B. s+r=105
r=s-33

C. s+r=105
s=r-105

D. s+r=105
s=r-33

E. None of these

Answers

s=r-33 and s+r=105

So that is answer D.
We know:
Sara is 33 years yonder than Rolando: i.e. S<R specifically S=R-33.
They are 105 years old together: i.e. S+R=105

The only answer that has both is D. 

(Be careful here, B is almost right but says that Sara is OLDER by 33 years.) 

3tan3x=3

solve please

Answers

Given the equation
[tex]3 tan(3x)=3[/tex] ⇒ divide both sides by 3
[tex]tan(3x)= \frac{3}{3} [/tex]
[tex]tan(3x)=1[/tex] ⇒ then take arctan of 1
[tex]3x= tan^{-1}(1) [/tex]
[tex]3x=45[/tex]°

From here we can read the solution on tan(x) graph between a certain interval.

Say the interval is 0°<x<360°, the graph of tan(x) is given below, there are two solutions between this interval

3x = 45° and 225° ⇒ dividing each answer by 3
x = 15°, 75° ⇒ these are the answer to the equation for the equation between 0° and 360°



The function h(x) = x2 + 14x + 41 represents a parabola.
Part A: Rewrite the function in vertex form by completing the square. Show your work. (6 points)
Part B: Determine the vertex and indicate whether it is a maximum or a minimum on the graph. How do you know? (2 points)
Part C: Determine the axis of symmetry for h(x). (2 points)

Answers

Part A:

[tex]h(x)= x^{2} +14x+41[/tex]

The first step of completing the square is writing the expression [tex] x^{2} +14x[/tex] as [tex] (x+7)^{2} [/tex] which expands to [tex] x^{2} +14x+49[/tex].

We have the first two terms exactly the same with the function we start with: [tex] x^{2} [/tex] and [tex]14x[/tex] but we need to add/subtract from the last term, 49, to obtain 41. 

So the second step is to subtract -8 from the expression [tex] x^{2} +14x+49[/tex]

The function in completing the square form is
[tex]h(x)= (x+7)^{2}-8 [/tex]

Part B:

The vertex is obtained by equating the expression in the bracket from part A to zero

[tex]x+7=0[/tex]
[tex]x=-7[/tex]

It means the curve has a turning point at x = -7

This vertex is a minimum since the function will make a U-shape. 
A quadratic function [tex]a x^{2} +bx+c[/tex] can either make U-shape or ∩-shape depends on the value of the constant [tex]a[/tex] that goes with [tex] x^{2} [/tex]. When [tex]a[/tex] is (+), the curve is U-shape. When [tex]a[/tex] (-), the curve is ∩-shape

Part C:

The symmetry line of the curve will pass through the vertex, hence the symmetry line is [tex]x=-7[/tex]

This function is shown in the diagram below




to anyone who may be a lil' sus, the previous answer is correct.

WILL MARK BRAINIEST!!

e) Isabel’s competition,who sells books and no other products, charges a shipping fee of $1.99 per book plus a fixed fee of $3 for each order. Let x be the number of books purchased and f(x) be the price of shipping one order of books. Write a function that expresses f(x) and explain the value of f(x) for x = 0. (5 points)

f) Graph the function in part e. (10 points)

g) Is your graph discrete or continuous? Explain. (5 points)

Answers

Answer:

Isabel’s competition,who sells books and no other products, charges a shipping fee of $1.99 per book plus a fixed fee of $3 for each order. Let x be the number of books purchased and f(x) be the price of shipping one order of books. Write a function that expresses f(x) and explain the value of f(x) for x = 0. (5 points)

The price of the shipping ( f(x)) is equal to the cost of the fixed fee per order (3) plus the product of the number of books ordered (x) and the cost of the fee per book (1.99).

f(x)= 1.99x +3

for f(0) = 1.99(0)+3

f(0) =3

For F(0) there is a order of 0 books.  The price is only for the shippping.

Step-by-step explanation:thats it buddy

A function that expresses f(x) is f(x) = 1.99x + 3. Graph is continuous.

What is continuous function?

A continuous function is a function that does not have discontinuities that means any unexpected changes in value. A function is continuous if we can ensure arbitrarily small changes by restricting enough minor changes in its input.

For this case we have the following data:

A shipping fee of $ 1.99 is charged for each book sold.

There is a fixed fee of 3 dollars per order.

We must express the total cost by a function of the form .

If x represents the number of books sold, we have an expression of the form:

f(x) = 1.99x + 3

That is, according to the number of books sold, represented by x, a different value will be obtained for the total cost given by function f (x). For example:

If 3 books are sold, we have:

f(x) = 1.99x + 3

f(0) = 1.99(0) + 3

f(0) = 3

Thus, the value of f(x) for x = 0 is f(0) = 3.

The graph is continuous. Continuous is something that can and must be able to be broken down into fractions and decimals. Discrete means something that cannot be broken down into fractions or decimals.

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Can someone solve #4 and explain it? I really appreciate it on this problem! Thank you :)

Answers

here is ur answer brainliest pla

In a store 60 cans of soup are arranged to be this play into equal rows why does the fraction 10 over 60 not represent the situation explain

Answers

Given that 60 cans of soup are to be displayed in 10 equal rows. The unit rate for the number of cans to be displayed in one row is given by number of cans per row.

This is given by the fraction 60 over 10.

The fraction 10 over 60 is not used to represent this situation because the fraction 10 over 60 gives the number of rows which is needed for 1 can. That is number of rows per can. But there is nothing like a fraction of a row. Hence the fraction 10 over 60 cannot be used to represent the situation.

The graph shows the number of paintballs a machine launches, y, in x seconds::

A graph titled Rate of Launch is shown. The x axis label is Time in seconds, and the x axis values are from 0 to 20 in increments of 4 for each grid line. The y axis label is Number of Balls, and the y axis values from 0 to 80 in increments of 16 for each grid line. A line is shown connecting points on ordered pair 4, 16 and 8, 32 and 12, 48 and 16, 64.

Which expression can be used to calculate the rate per second at which the machine launches the balls?
fraction 64 over 4
fraction 4 over 64
fraction 16 over 4
fraction 4 over 16

Answers

a fraction should be number of balls over time per second

 so it should be 16/4 which is 4 balls per second

Answer: fraction 16 over 4

Step-by-step explanation:

The given graph shows the number of paintballs a machine launches, y, in x seconds.

We know that the rate of change of a line is given by :-

[tex]k=\frac{y_2-y_1}{x_2-x_1}[/tex]

The ordered pairs on the line in graph are (4, 16) and (8, 32) and (12, 48) and (16, 64).

Thus, the rate per second at which the machine launches the balls is given by :-

[tex]k=\frac{32-16}{8-4}=\frac{16}{4}

(48.9, -53.3) (84.6, -19.9) (-62.6, 81.7) (-14.4 ,-42.6) (71.2, -84.1) (71.2, 76.8 ) state the domain

Answers

The x values are the first one (and correlate to the domain), so we just have to find the smallest and largest number, which are -62.6 and 84.6 by just looking through the data

Kaveri has a total rs 590 as currency notes is the denominations ofrs50 , rs 20 , and rs 10 . the ratio of the number of rs 50 note and rs 2o is 3:5. if she has a total of 25 notes , how many notes of each denomination she has?

Answers

Let
x = number of rs 50
y = number of rs 20
z = number of rs 10

Because there are 25 total notes,
x + y +  z = 25              (1)

The ratio of rs 50 to rs 20 is 3:5, therefore
x = 0.6y                       (2)

The total amount is rs 590, therefore
50x + 20y + 10z = 590      
or
5x + 2y + z = 59            (3)

Subtract (1) from (3).
4x + y = 34            (4)
Substitute (2) into (4).
4*(0.6y) + y = 34
3.4y = 34
y = 10

From (2), obtain
x = 6
From (1), obtain
z = 25 - 6 - 10 = 9

Answer:
Kaveri has
 6 rs 50 notes,
10 rs 20 notes,
 9 rs 10 notes.

Angles θ and Φ are supplementary, and theta equals 3pi/7 find the measure of theta

Answers

hello : 
Φ + 3π/7 = π 
Φ =  π - 3π/7
Φ =4π/7 

From Plato: Φ =7π/7 or π.

how would you solve it. I know the answer already. my problem working it out.
4b/2 + 3 = 11 + b.

Answers

-3 to both sides
4b/2 = 8 +b

multiply both sides by two
(4b/2 = 8 + b) X2    =    4b = 16+2b

subtract 2b from both sides
2b = 16

divide both sides by 2
b=8
How to solve an equation.

1. Simplify any parentheses using the distributive property if needed.
2. Combine like terms if needed.
3. Use the addition principle of equality if needed.
4. Use the multiplication or division principle of equality if needed.

[tex]\frac{4b}{2} + 3 = 11 + b[/tex]
2b + 3 = 11 + b
b + 3 = 11 <-- Subtract b from each side
b = 8 <-- Subtract 3 from each side

So, b is equal to 8.
Other Questions
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