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 20%
Short-term bond 15%
Intermediate-term bond 11%
Long-term bond 5%
High-risk stock 18%
Moderate-risk stock 24%
Balanced fund 7%

A customer who owns shares in just one fund is to be selected at random.

Required:
a. What is the probability that the selected individual owns shares in the balanced fund?
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?

Answers

Answer 1

Answer:

a. 7% probability that the selected individual owns shares in the balanced fund.

b. 31% probability that the individual owns shares in a bond fund.

c. 58% probability that the selected individual does not own shares in a stock fund

Step-by-step explanation:

a. What is the probability that the selected individual owns shares in the balanced fund?

7% of the individuals owns shares in the balanced fund, so 7% probability that the selected individual owns shares in the balanced fund.

b. What is the probability that the individual owns shares in a bond fund?

Bond funds (short, intermediate, and long-term):

15%(short-term) + 11%(intermediate-term) + 5%(long-term)

15%+11%+5% = 31%

31% 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?

Anything but moderate and high risk stock%.

The sum of all probabilities is 100%.

18% + 24% = 42% own stock fund.

100 - 42 = 58%

58% probability that the selected individual does not own shares in a stock fund


Related Questions

Find the sum and express it in simplest form.
(-2y3 + 2y2 - 9) + (-4y3 + 5y2 + 7)

Answers

Answer:

-6y^3+7y^2-2

Step-by-step explanation:

(-2y^3+2y^2-9)+(-4y^3+5y^2+7)

-2y^3-4y^3+2y^2+5y^2-9+7

-6y^3+7y^2-2

im falling asleep at the kitchen table bc i have not slept in 3 days and i cant go to bed until its 8 or 9 and its 5:56pm ughhh

Answers

Answer:

I hope u can sleep more

Step-by-step explanation:

Answer:

ohhhhhhh

Step-by-step explanation:

yea that sucks but why can't you go to bed until 8-9?????

Help me with my math

Answers

Answer:

The first one is correct

Step-by-step explanation:

-3<1-1 - 3<0 correct

-3>1 it is not correct

Find the area of the area of the following figure please answer I’ll make Brainly

Answers

Answer: 91

Step-by-step explanation:

91
You take the width and length of the triangle, multiply them together, then divide by two. There’s you’re area for the triangle. Then you add that to the area of the rectangle, and you have your answer

3t + 7 = 2 +5t , then find the value of t.​

Answers

Answer:

t = 5/2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to Right  

Equality Properties

Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of Equality

Algebra I

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

3t + 7 = 2 + 5t

Step 2: Solve for t

[Subtraction Property of Equality] Isolate t terms:                                        7 = 2 + 2t[Subtraction Property of Equality] Isolate t term:                                         5 = 2t[Division Property of Equality] Isolate t:                                                        5/2 = tRewrite:                                                                                                             t = 5/2

Answer:

t = ⁵⁄₂ or 2.5

Explanation:

3t + 7 = 2 + 5t

Simplify both sides of the equation

3t + 7 = 5t + 2

Subtract 5t from both sides

3t + 7 − 5t = 5t + 2 − 5t

−2t + 7 = 2

Subtract 7 from both sides

−2t + 7 − 7 = 2 − 7

−2t = −5

Divide both sides by -2

−2t / -2 = −5 / -2

Simplify

t = ⁵⁄₂

Turn the fraction into a decimal

t = 2.5

t = ⁵⁄₂ or 2.5

Solve the equation for 1/3 + a = 5/4

Answers

a = 1/3 * 5/4

a = 5/16

What is the solution to the following algebraic equation z+10 =11+4 * Your answer​

Answers

Answer:

ummmmmmm okkkkkkkkkkk

Step-by-step explanation:

dddddddddddddddddddddddddddddd

Answer:

z = 5

Step-by-step explanation:

Is 13/6 rational or irrational ?

Answers

Answer:

Rational is the answer

hope this helps

have a good day :)

Step-by-step explanation:

If it's written as a fraction it's rational

You have 5/8 of a large bottle of shampoo. You pour 3/10 of the shampoo into a smaller bottle. How much of the entire large bottle do you pour into the smaller bottle

Answers

Answer:

13/40

Step-by-step explanation:

Answer:

Step-by-step explanation:

if you have 5/8 of a large bottle of shampoo,

(5/8)*(3/10)=15/80=3/16

PLEASE HELP!!!!

angle A is complementary to angle B . The measure of angle A is(2x+5)^ The measure of angle B is twice the measure of angle A . Part A Write an equation that can be used to determine the value of . Enter the correct answer in the box

Answers

Answer:

angle A =90- angle B

angle A=(2x+5)

angle B =2x(let the angle A be x)

(2x+5)=90-2x

2x+5=90-2x

4x+5=90

4x=90-5

4x=85

x=85/4=21.25

angle A=2(21.25)+5=42.5+5=47.5

angle B =2(21.25)=42.5

which statement correctly descibes what happens to the shape and location of the graph of y=2x^2 if it is regraphed as y=-1/2x^2

HELPPPPPPP

Answers

Answer:

I got the same question rn

Step-by-step explanation:

What did you end up with for the answer?

3 1/8 - 7/12 estimate the difference by rounding each fraction or mixed number to the nearest half or whole.

Answers

Answer:

2

Step-by-step explanation:

3-1=2...since the nearest whole number for the first is 3 and that of the next is 1 since it is more than a half

Answer:

2

Step-by-step explanation:

2 its becuse i muitlplyed to get the anserw and subtraction


. 3 Przeczytaj zadanie.
po podwórku biegają króliki i paw. Zwierzęta mają razem 18 nóg. Ile jest
królików?
Wykonaj kolejne polecenia.
Przyjmij jako niewiadomą liczbę królików.
Zapisz w postaci wyrażenia algebraicznego (czyli używając niewiadomej),
ile nóg mają wszystkie króliki razem.
Zapisz w postaci wyrażenia algebraicznego, ile nóg mają zwierzęta na
podwórku.
. Ułóż równanie i je rozwiąż.
. Zrób sprawdzenie (sprawdź, czy odpowiedź zgadza się z informacjami
podanymi w zadaniu).
Zapisz odpowiedź.



Na godzinę 9:48 ma być bardzo proszę daje naj ​

Answers

Answer:

hindi ko ma intindihan jknjjj

2.
Find the products using
a. (5x - 2)(5x + 2)​

Answers

this helps???????????

. Which is bigger 35% of £260 or 45% of £220?*​

Answers

45% of £220 because it may be a lower number but the percent is a lot higher

Alicia bought a package of eight peaches for $3.20. Find the cost of each peach.

Answers

Answer:

.40 cents each.

Step-by-step explanation:

$3.20/8=.40

Find the length of the third side. If necessary, write in simplest radical form.
3
2

Answers

Answer:

4.2 ft

Step-by-step explanation:

Reference angle = 77°

Opposite side = DE = x

Hypotenuse = CD = 4.3 ft

Apply the trigonometric function of sine. Thus:

Sin 77 = opp/hyp

Sin 77 = x/4.3

Multiply both sides by 4.3

4.3 × sin 77 = x

x = 4.2 ft (nearest tenth)

The sum of the opposite of a number and six is less than or equal to five.​

Answers

Answer:

-x+6< 5

there is a line under the less than symbol

Step-by-step explanation:

The mathematical expression is;

⇒ - x + 6 ≤ 5

What is Inequality?

A relation by which we can compare two or more mathematical expression is called an inequality.

Given that;

The algebraic expression is,

''The sum of the opposite of a number and six is less than or equal to

five.​''

Now,

Let a number = x

The, The opposite of a number = - x

So, We can formulate;

⇒ - x + 6 ≤ 5

Thus, The mathematical expression is;

⇒ - x + 6 ≤ 5

Learn more about the inequality visit:

https://brainly.com/question/23945265

#SPJ2

A certain radioactive isotope is a byproduct of some nuclear reactors. Due to an explosion, a nuclear reactor experiences a massive leak of this radioactive isotope. Fortunately, the isotope has a very short half life of 9 days. Estimate the percentage of the original amount of the isotope released by the explosion that remains 8 days after the explosion​

Answers

Answer:

jsuw

Step-by-step explanation:

bauxiiqodoysyvw. a dejavu losentino verete la müa

Mira's six test scores are given. What is the
positive difference between the mean of the
scores and the median of the scores?
86, 72, 92, 62, 99, 93

Answers

Answer:

First, we need to find the mean and median of the scores.

Mean:

86+72+92+62+99+93=504

There are 6 test scores, so:

504 ÷ 6 = 84

Median:

62, 72, 86, 92, 93, 99

86 + 92 = 172

172 ÷ 2 = 86

The answer would be:

Mean: 84

Median: 86

84 is the mean and 86 is the median

How many numbers between 75 and 500 are divisible by 7​

Answers

9514 1404 393

Answer:

  61

Step-by-step explanation:

75 = 10×7 +5

500 = 71×7 +3

All the multiples of 7 between the 10th and the 71st (including the 71st, but not the 10th) are numbers in the range that are divisible by 7.

61 numbers in the interval [75, 500] are divisible by 7.

Which point below is not on the graph of px) = 36-X?
(-13, 7)
(-35, 1)
(11,5)
(27,3)​

Answers

Answer: B

The square root of 71 does not equal 1

Solve for x, round to the nearest tenth. find x x =

Answers

Answer:

64.2

Step-by-step explanation:

Use tan to find the measure of x.

tan = 0pposite/adjacent

opposite = 29

adjacent = 14

so:

[tex]tan(x)=29/14\\x = tan^{-1} (29/14)\\x = 64.2[/tex]

Answer:

x = 64.2°

Step-by-step explanation:

tan x° = 29/14

14 · tan x° = 29

tan x° = 29/14

arctan(x) = 64.2°

Six friends are sharing 8 cups of lemonade. If they share the lemonade equally, how many cups will each friend get? simplify your answer to a mixed number

Answers

Answer:

Step-by-step explanation:

Divide the 8 cups between 6 people: 8/6 = 1.333

As a mixed fraction, that is 1(1/3)

As an improper fraction (that you didn't ask for but whatever), it's 4/3

Each friend gets [tex]1\frac{1}{3}[/tex] cups of lemonade.

What is Division?

A division is a process of splitting a specific amount into equal parts.

Given that Six friends are sharing 8 cups of lemonade.

The friends share 8 cups lemonade equally.

We need to find the number of cup each friend will get.

To find this we have to divide eight by six.

In this questions we are splitting 8 cups among 6 friends.

Divide 8 by 6

8/6

Now divide numerator and denominator by 2

4/3

Now let us convert this to mixed fraction

[tex]1\frac{1}{3}[/tex]

Hence, each friend gets [tex]1\frac{1}{3}[/tex] cups of lemonade.

To learn more on Division click:

https://brainly.com/question/21416852

#SPJ2

when a two digit number is multiplied by its unit digits, the product is 336. When the digits are reversed and the new number is multiplied by its new unit digits, the product is 325.If the sum of the digits is 11, find the original two digit number​

Answers

9514 1404 393

Answer:

  56

Step-by-step explanation:

In the base-10 number system, the only two digits that have themselves as the least significant digit of their square are 5 and 6.* If multiplying a 2-digit number by the ones digit gives a ones-digit of 6, then the ones digit must be 6.

Similarly, if the ones digit of the product is 5, the ones digit of the number must be 5.

So, the ones digit of the original number is 6, and the ones digit of the reversed 2-digit number is 5. The original number is 56.

__

Check

  56 × 6 = 336

  65 × 5 = 325

  5 + 6 = 11

_____

* Additional comment

These digits are called "automorphs." Automorphs ending in 5 or 6 can be extended to any number of digits. For example, the 3-digit automorph ending in 6 is 376. 376² = 141376. Similarly, the 3-digit automorph ending in 5 is 625. 625² = 390625

find the component equation of the plane which is normal to the vector -2i+5j+k and which contains the point (-10;7;5).​

Answers

Given:

A plane is normal to the vector = -2i+5j+k

It contains the point (-10,7,5).​

To find:

The component equation of the plane.

Solution:

The equation of plane is

[tex]a(x-x_0)+b(y-y_0)+c(z-z_0)=0[/tex]

Where, [tex](x_0,y_0,z_0)[/tex] is the point on the plane and [tex]\left< a,b,c\right>[/tex] is normal vector.

Normal vector is -2i+5j+k and plane passes through (-10,7,5). So, the equation of the plane is

[tex]-2(x-(-10))+5(y-7)+1(z-5)=0[/tex]

[tex]-2(x+10)+5y-35+z-5=0[/tex]

[tex]-2x-20+5y-35+z-5=0[/tex]

[tex]-2x+5y+z-60=0[/tex]

[tex]-2x+5y+z=60[/tex]

Therefore, the equation of the plane is [tex]-2x+5y+z=60[/tex].

5. One side of a triangle has length 12.
2. How long is the segment that joins the midpoints of the other two sides?
b. How long would the segment joining the midpoints be if the side of the
triangle had length 10? Length 18? Length 19?

Answers

i’m just doing these for points i’m so sorry hopefully someone can give you the answer

if quick will mark brainliest

Answers

Answer:

17.5, I believe.

Hope that helps!

Step-by-step explanation:

Answer:0

Step-by-step explanation:

(10x 18) + (10xs) = how to solve

Answers

Answer:

i dont know dude

Step-by-step explanation:

Sheila simplified an expression using the following steps. Which property justifies Step 3? Step 1: 5x + 4(3 + 2x) Step 2: 5x + 12 + 8x Step 3: 5x + 8x + 12 Step 4: 13x + 12 O A. Identity Property O B. Associative Property O C. Distributive Property D. Commutative Property​

Answers

Answer:

distributive property

Step-by-step explanation:

have a great day

Answer:

: 5x + 4(3 + 2x)

: 5x + 12 + 8x

: 5x + 8x + 12

: 13x + 12 Distributive Property

Other Questions
Imagine that one of your teachers from your favorite subject wants to teach a new subject for the next few weeks. Your teacher will take suggestions, and then let all students vote on the new subject. What subject would you choose? Write a short essay to support your choice and to persuade the other students to vote for your choice. 200-400 words I WILL GIVE BRAINLIEST TO CORRECT ANSWER!!!!Which of these numbers equals -6 x (-1/2)?A. -3B. -2C. 2D. 3 The________ partitioning scheme enables you to create more than four primary partitions without needing to use dynamic disks Multiple new sources have printed stories about secret government programs. Why do some people see the papers actions as patriotic whereas others think the publishers should be tried under the Espionage Act? 3. The sum of two numbers is 30 and their difference is 12. Find the two numbers. how can dreamers help each other Im not smart - help. I will select brainliest Describe some of the major similarities that most absolutist leaders shared in gaining their power and how they used their power to rule their kingdom / territory. in the 1800's Can this be reduced? Which image makes you feel the most anxious and the most curious about what might happen next?ABCD Mendels pea plants had either purple or white flowers. This means that the plantsThe answer is C: have two alleles for the gene. completa las oraciones con sintagmas que tengan la funcin que se indica. Despus, explica a que elementos se refiere cada complemento que use. a) El comerciante baj.... b) acabo el proyecto despus de dos aos. This 1920's black dress with ribbon embroidery (1984.29.1) owned by Ruth Herndon features a ______ hemline. What did Amanda Gorman teach us? why do we have night and day? (i can't find science so i just put it in chemistry) Consider all positive integers that are multiples of 10 and are less than or equal to 200. What fraction of those integers are multiples of 15?A. 1/20B. 3/20C. 3/10D. 2/5E. 3/4 Find the slope intercept of (2,-2) and (3,2) The blue dot is at what value on the number line? I NEED HELP ASAP!!! I CAN GIVE BRIANLIST!!! Adele believes that 0.462 is written as "four tenths, sixty-two hundredths." Is she correct? Explain your answer. *