A mutual fund company offers its customers a variety of funds: a money-market fund, three different bond funds (short, intermediate, and long-term), two stock funds (moderate and high-risk), and a balanced fund. Among customers who own shares in just one fund, the percentages of customers in the different funds are as follows: Money-market 25% High-risk stock 10% Moderate-risk stock 15% Short bond 12% Intermediate bond 7% Long bond 8% Balanced 23% A customer who owns shares in just one fund is randomly selected. a) What is the probability that the selected individual owns shares in the balanced fund? For your answer, please report the answer in decimals. For example, 50% would be submitted as .5.

Answers

Answer 1

Part b and c are missing and they are;

b. What is the probability that the individual owns shares in a bond fund? c. What is the probability that the selected individual does not own shares in a stock fund?

Answer:

A) P(balanced fund) = 0.23

B) P(bond fund) = 0.27

C) P(no stock fund) = 0.75

Step-by-step explanation:

We are given the percentages of customers in the different funds as follows:

Money-market: 25%

High-risk stock: 10%

Moderate-risk stock: 15%

Short bond: 12%

Intermediate bond: 7%

Long bond: 8%

Balanced: 23%

A) From the percentages given, we can see that the balanced fund is 23%.

Thus,this represents the probability as addition of all the given percentages gives 100%

Thus, probability that the selected individual owns shares in the balanced fund is;

P(balanced fund) = 23% = 0.23

B) From the percentages given, bond funds given are;

Short bond: 12%

Intermediate bond: 7%

Long bond: 8%

Thus,

probability that the individual owns shares in a bond fund is;

P(bond fund) = 12% + 7% + 8%

P(bond fund) = 27% = 0.27

C) Probability that the selected individual doesn't own shares in a stock fund is;

P(no stock fund) = 1 - P(stuck fund)

P(stuck fund) = High-risk stock +

Moderate-risk stock = 10% + 15% = 25% = 0.25

Thus;

P(no stock fund) = 1 - 0.25 = 0.75


Related Questions

Heyy guys I need help

Answers

Answer:  Angle C is 76 degrees

===================================================

Explanation:

Since AE = BE, we know that triangle ABE is isosceles with A = B as the congruent base angles (it might help to rotate the triangle 90 degrees clockwise). The congruent base angles are always opposite the congruent sides of an isosceles triangle.

Focus on triangle ABE. Let's find the missing angle E.

A+B+E = 180

55+55+E = 180

110+E = 180

E = 180-110

E = 70

So angle BEA = 70 degrees

This means angle DEC is also 70 degrees. Angles BEA and DEC are congruent vertical angles.

--------------------

Now focus on triangle DEC. We just found E = 70. The diagram shows D = 34. Use these items to find C

D+E+C = 180

34+70+C = 180

104+C = 180

C = 180-104

C = 76

Angle C is 76 degrees

Answer:

hey

Step-by-step explanation:

hiii, this geometry please help

Answers

answer is 50!!!!!!!!!!!
B. 100



Explanation:


If you just look at it like a straight line then you know it equals 180° but since it’s cut into pieces we have to figure out the others first.

So on the triangle on the bottom it’s 50 and 50 so add those and subtract from 180 to find out what the third angle in the triangle is.
50+50=100
180-100= 80°
Now the angle to the right of the 60° is going to be 80 because they’re corresponding.
So, if the one side of the split line is 80 then the other must be 100°.

PLEASE ITS ALREADY LATE AND I NEED TO TURN IT TODAY
Example 1 Fatima works as an intern at a construction company earning $10 per hour. Her office is open 8
hours per day, 5 days a week. Analyze Fatima's potential earnings for the 12 weeks she interns at the
company this summer.
A. Write a function rule to model
the situation
B. Identify the independent
variable
C. Identify the dependent
variable
f(x) =

Answers

Answer:

4800

Step-by-step explanation:

I attached a picture of the work.

We need to made a function that will help us solve this

f(x)=dx; d = $ per hour, x = # of hours

step 1) identify d (in this case, the money made per hour) which = 10

f(x)=10x

step 2) identify x (# of hours total) which = 480

f(x)=10(480)

step 3) solve the equation

f(x)=4800

independent variable:

the number of hours

dependant variable:

the amount of money made after 12 weeks

Customers of a certain credit card earn points for using the card. The table below shows the number of points earned for the amount spent. ( Photo Attached )

Predicted number of points for spending $10 :
___

Will give Brainliest (:

Answers

Answer:

Just hit continue.

Step-by-step explanation:

The predicted amount is for the second button only.

Each dollar spent does not always earn the same number of points.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Customers of a certain credit card earn points for using the card.

The table shows the number of points earned for the amount spent.

Now, By the given table which shows the number of points earned for the amount spent.

⇒ Number of points in 4 dollars = 36

Hence, Number of points in 1 dollars = 36/4 = 9

⇒ Number of points in 7 dollars = 56

Hence, Number of points in 1 dollars = 56/7 = 8

⇒ Number of points in 9 dollars = 72

Hence, Number of points in 1 dollars = 72/9 = 8

Thus, We get;

⇒ Each dollar spent does not always earn the same number of points.

Learn more about the mathematical expression visit:

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Identify the range of the function shown in the graph.
10+
8
8
4
-10 -8 18
4
-B
-10

Answers

Answer:

-10?

Step-by-step explanation:

Add, subtract, multiply, or divide. Can someone help me please.​

Answers

Number 7 is subtract

7:  8+(-4)=-2

8:  -7+2=-5

9:  -11-7=-18

10:  12÷(-6)=-2

11:   -9×(-3)=27

12:  4-(-3)=7

13:  -45÷9=-5

14:   6×(-3)=-18

In a company, 70% of the workers are men. If 1,620 people work for the company who aren't men, how many workers are there in all? ​

Answers

        (っ◔◡◔)っ ♥ Hey Honey Here! ♥

Answer:

2106!

Step-by-step explanation:

1,620 - 70% = 486

486 + 1,620 = 2106

(  お力になれて、嬉しいです)

Answer:

5,400 total workers

Step-by-step explanation:

70% of workers are men, this means that 30% of workers aren't men

This means that 1,620 is 30% of the total workers

To figure out the total workers you do:

30 (percentage that represents the value)/100 = 1,620 (value) / x (total workers)

You then cross-multiply the equation by multiple the numbers diagonal each other:

30/100

=1,620/x

So, 30x = 162,000

You then isolate the variable

30x/30 = 162,000/30

x = 5,400

hi can someone help me with this

Answers

6-3y-9y+5.7
3y-9y+6+5.7
6y+11.7

You can’t do anything further bc y doesn’t equal anything

Answer:

=−12y+11.7 I believe it's that but I am not completely sure

I believe it is

What’s the answer for 65°
15x + 10

Answers

Answer:

7

Step-by-step explanation:

65° + 15x + 10 = 180° (co-interior angles are equal)

15x + 75° = 180°

15x = 180° - 75°

15x = 105°

x = 105/15

x = 7

Given the following linear function sketch the graph of the function and find the domain and range. ƒ(x) = -5x + 4

Answers

Answer:

Domain: (-∞,∞)

Range:(-∞,∞)

Step-by-step explanation:

The sketch of the given function has been attached and the domain and range both will be (-∞,∞ ).

What is a linear function?

A straight line on the coordinate plane is represented by a linear function.

A function that fluctuates linearly with respect to the changing variable is referred to as being linear.

A linear function always has the same and constant slope.

The formula for a linear function is f(x) = ax + b, where a and b are real values.

Given the function,

ƒ(x) = -5x + 4

Range of the function ;

Since the value of the function is defined for all real x and the value will be unique so

Range =  (-∞,∞ ).

The domain of the function ;

Since it is defined for all real x so,

Domain =  (-∞,∞ )

For more about the linear function

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Find the slope of the line that passes through (9, 10) and (5, 19).
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Submit

Answers

Answer:

[tex]m=\frac{-9}{4}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Point (9, 10)

Point (5, 19)

Step 2: Find slope m

Substitute:                    [tex]m=\frac{19-10}{5-9}[/tex]Subtract:                       [tex]m=\frac{9}{-4}[/tex]Simplify:                        [tex]m=\frac{-9}{4}[/tex]

The formula d-2r can be used to find the distance(d) traveled after 2 hours when driving at rate r.
A. Solve the formula for r.





B. Find the rate(r) when the distance traveled is 130 miles.

Answers

Answer:

A. d/2 = r

B. r=65 miles/hour

Step-by-step explanation:

A. d/2 = 2r/2

B. Using the formula you found for R it is

130/2= r, therefore r = 65

The formula for r is:

r = d/2.

The rate r when the distance traveled is 130 miles is:

= 64 miles per hour.

Given,

The formula d = 2r can be used to find the distance(d) traveled after 2 hours when driving at rate r.

We need to:

- Solve the formula for r.

- Find the rate(r) when the distance traveled is 130 miles.

What is the formula for speed?

Speed = distance / time

We can find the distance as:

distance = speed x time

We have,

d = 2r where d = distance and r = rate.

Here 2 = 2 hours

The formula for r :

d = 2r

Divide both sides by 2.

d/2 = r

r = d/2

r = distance / 2 hours

The rate at a distance of 130 miles is:

d = 130 miles

r = d / 2

r = 130 / 2 = 65 miles / hour

Thus,

The formula for r is d/2.

The rate r when the distance traveled is 130 miles is 64 miles per hour.

Learn more about how to find speed here:

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The price of a television was reduced $250 to $200. By the percentage was the price of the television reduced?
A. 20%
B. 25%
C. 80%
D. 50%

please help I'm not good at math!!

Answers

Answer:

B. 25%

Step-by-step explanation:

The price decreased by 50, and that is 25% of 200.

Answer:

The answer is 20%

Step-by-step explanation:

I'm not amazing at percentages so this is what I did. Search up 20 percent of 250. Then it says 50. 250 minus 200 is 50, so the answer is 20%

I hope this helped and if it did I would appreciate it if you marked me brainliest.

thank you and have a nice day!

The length of segment AE is 5 centimeters.
a. what is the length of segment CD?
b. what is the length of segment AB?
c. Name a segment that had the same length as segment AB. segment________​

Answers

Answer/Step-by-step explanation:

Segment AE is a radius of the circle with center of A.

Any segment that has its origin from the center of the Circle, A, and meets at any point along the circumference of the circle, is equally a radius, and would have the same length as segment AE.

Thus:

a. Length of segment CD:

Segment CD is half of the circle. So it is the diameter of the circle.

Diameter of a circle = 2 × length of the radius.

Therefore,

CD = 2 × AE

CD = 2 × 5 (substitution)

CD = 10 cm

b. AB is a radius.

Therefore, AB = AE

AB = 5 cm

c. Any of these segments are also radius of the circle and also have the same length as segment AB:

Segment AG,

Segment AD

Segment FA

Segment AC

A section of a railway has a slope of approximately 0.47. In this section, a vertical change of 1 unit corresponds to a horizontal change of what length? Round your answer to the nearest hundredth.

Answers

Step-by-step explanation:

A slope of 0.47 means that, for every 100 feet of horizontal change, the vertical rise = 47 feet

We can use a proportion here

0.47 / 1 = 1 / x

Cross-multiply

0.47x = 1*1

0.47x = 1

Divide both sides by 0.47

x = about 2.13 units

Find the missing number so that the equation has no solutions.
4x+2=_x+12+x

Answers

Answer:

2

2 makes it able to never be solved. If I did this correctly

Answer:

yo d see was gotta at brb to fbh gwuhbytujv

HELP THIS IS DUE TONIGHT!!

What is the LCM (least common multiple) of the following

16ab^3 5a^2b^2 20ac

Also ^ means that it’s an exponent

Answers

80a^2b^3c is your answer I think

i need help with this asap please

Answers

Answer:

The perimeter is 100 feet. This means that all the sides of the shape must add up to equal 100.

x + x + 5 + x - 3 + x + 4 = 100

4x + 5 - 3 + 4 = 100

4x + 6 = 100

4x = 94

x = 94/4

x = 23.5 feet

Find the amplitude:
y= 5 cos (1/4x)

Answers

Answer:

for 5cos(1/4x)

Amplitude=5

subtract (7x^5-12x^2y+33y^2) from (5x^5-5x^2y+9y^2) simplify your results:

Answers

Answer:

- 2 [tex]x^{5}[/tex] + 7x²y - 24y²

Step-by-step explanation:

( 5 [tex]x^{5}[/tex] - 5x²y + 9y² ) - ( 7 [tex]x^{5}[/tex]  - 12x²y + 33y² ) =

5 [tex]x^{5}[/tex] - 5x²y + 9y² -  7 [tex]x^{5}[/tex]  + 12x²y - 33y² =

( 5 [tex]x^{5}[/tex] - 7 [tex]x^{5}[/tex] ) + ( - 5x²y + 12x²y ) + ( 9y² - 33y² ) =

- 2 [tex]x^{5}[/tex] + 7x²y - 24y²

Solve the equation. If the equation is an identity or if it has no solution, write identity or no solution.

1) 7n + 5 − 9n = 8 − 2n − 3
2) 4(t + 2) = 10
3) 4y+2=−13(8−12y)

Answers

1) Identity
2) 1/2
3) 53/76

find the measure of y
please ​

Answers

Answer:

y=140

Step-by-step explanation:

if it's an option

y =140
It should be a option

Solve for X
[tex] \frac{x - 6}{2} = \frac{2 - x}{x} [/tex]

Answers

Answer:

[tex]\huge\boxed{x=2-2\sqrt2\ \vee\ x=2+2\sqrt2}[/tex]

Step-by-step explanation:

[tex]\dfrac{x-6}{2}=\dfrac{2-x}{x}\\\\\text{Domain:}\ x\neq0\\\\\dfrac{x-6}{2}=\dfrac{2-x}{x}\qquad|\text{cross multiply}\\\\(x-6)(x)=2(2-x)\qquad|\text{use the distributive property}\\\\(x)(x)+(-6)(x)=(2)(2)+(2)(-x)\\\\x^2-6x=4-2x\qquad|\text{add}\ 2x\ \text{to both sides}\\\\x^2-6x+2x=4-2x+2x\\\\x^2-4x=4\qquad|\text{add}\ 2^2\ \text{to both sides}\\\\x^2-2\cdot x\cdot2+2^2=4+2^2\qquad|\text{use}\ (a-b)^2=a^2-2ab+b^2\\\\(x-2)^2=4+4\\\\(x-2)^2=8\iff x-2=\pm\sqrt8\\\\x-2=\pm\sqrt{4\cdot2}[/tex]

[tex]x-2=\pm\sqrt4\cdot\sqrt2\\\\x-2=\pm2\sqrt2\qquad|\text{add 2 to both sides}\\\\x-2+2=-2\sqrt2+2\ \vee\ x-2+2=2\sqrt2+2\\\\\huge\boxed{x=2-2\sqrt2\ \vee\ x=2+2\sqrt2}[/tex]

What is the value of x in the triangle?

Answers

Answer:

Step-by-step explanation:

Q

Answer:

B

Step-by-step explanation:

Since there are 2 congruent angles then the triangle is right isosceles.

The 2 legs of the triangle are therefore congruent ( both x )

Use Pythagoras' identity in the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

x² + x² = (3[tex]\sqrt{2}[/tex] )² , then

2x² = 18 ( divide both sides by 2 )

x² = 9 ( take the square root of both sides )

x = [tex]\sqrt{9}[/tex] = 3 → B

I need help with this slope problem​

Answers

Answer:

what is it? you did not post the picture

PLZ ANSWER ASAP!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer: C

Step-by-step explanation: it is stretched out more.

Answer:

C

Step-by-step explanation:

C Is An Oval Not A Circle, Therefore it is different

x + 2x + 12y + 4 Using the expression shown, add like terms and produce an equivalent expression.

Answers

Answer: 3x+12y+4

Step-by-step explanation:

The only like terms are the x+2x so we add them to get the simplfied answer

Answer:

3x + 12y + 4

I dont really know how to explain but since there is an X at the and of the 2, you can add X + 2x to get 3x. Since 3x, 12y, and 4 are not alike, this is the simplest form.

The factory makes boxes that each hold one candle. The boxes measure 1 inch × 1 inch × 9 inches. The factory owner makes a stack of 40 candle boxes. What is the volume of the stack?

Answers

Answer:

360 inch^3

Step-by-step explanation:

Volume of 1 box = 1 x 1 x 9 = 9 inch^3

Volume of 40 boxes = 40 x 9 = 360 inch^3

This is a topic on mensuration. If you wish to explore more into this topic you can give me a follow on Instagram (learntionary). I'll be uploading notes on this topic soon. At the meantime, you can take a look at other topics or some tips as well!

Answer:

360 in

Step-by-step explanation:

L × W × H

1 × 1 ×9 = 9in

9 × 40 = 360 in

Please help me with this question.... please...

Answers

Answer:

just plug in the x value into the equation and put it in ur calculator

250 and 400 because you need to substitute the 5 and the 20 into x.
y=(200 • .05)(5)+200, y= 250
y=(200 • .05)(20)+200, y=400

PLEASE HELP ILL GIVE BRAINLIEST

Answers

Answer:

1. x = 66

2. C

3. C. 2000

Step-by-step explanation:

1. The first question is x = 66 because to get rid on the fraction you multiply both sides by 4. This leaves you with x + 2 = 68 (minus 2 on both sides) this gives you x = 66.

2. C. Commutative

3. 2000

Plug in

125 = (5)(.0125)(2000)

125 = 125

Hope this helps ya!!

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