Your Turn (Activity 3): Calculate the LCM of 54 and 90​

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

Answer:

y=-2 8/9

x=31 1/2

Step-by-step explanation:

x-4y=15 --> x=4y+15

8x-5y=42

8(4y+15)-5y = 42

32y +120 - 5y = 42

27y = -78

y=-2 8/9

x=31 1/2

Answer:

Because we actually divide by 10 when a number is multiplied by 0.1.

Step-by-step explanation:

Let [tex]a[/tex] be a number.

When we multiply a number by 10:

[tex]a \times 10 = 10 a[/tex] (One '0' is increased in the number)

For example:

[tex]23 \times 10 = 230[/tex]

Considering a decimal number:

[tex]2.3 \times 10 = 23[/tex]

Multiplying a number with 0.1 (which is actually [tex]\frac{1}{10}[/tex]) means dividing the number by 10.

[tex]23\times 0.1 =23\times \frac{1}{10}=2.3[/tex]

Considering a decimal number:

[tex]2.3 \times 0.1 = 2.3 \times \frac{1}{10} = 0.23[/tex]

Therefore, When multiplying a number by 0.1, move the decimal to the left.

Answer:

Sample Response: You move the decimal to the right when multiplying a number by 10 because you are making the number bigger. You move the decimal to the left when multiplying a number by 0.1 because you are making the number smaller.

Step-by-step explanation:

hope this helps

Answer:

x = 2.67

Move variables to the right and constants to the left, Then divide and you get the answer.

Step-by-step explanation:

-1.3+4.6x=0.3+4x (given)

-1.3x + 0.6x =0.3 (subtraction property of equality)

0.6x = 1.6 (addition property of equality)

x = 2.66666666667 (division property of equality)

2.66666666667 = 2.67 (rounding to the nearest tenth)

Answer: im pretty sure its option 2

Step-by-step explanation:

Answer:

2a^2b^3 ^3squareroot4a

Step-by-step explanation:

Given:

[tex]\dfrac{2}{5}\div \dfrac{4}{15}=\dfrac{3}{2}[/tex]

To find:

The correct multiplication that can be used to check this division problem.

Solution:

We have,

[tex]\dfrac{2}{5}\div \dfrac{4}{15}=\dfrac{3}{2}[/tex]

[tex]\dfrac{\dfrac{2}{5}}{\dfrac{4}{15}}=\dfrac{3}{2}[/tex]

Multiply both sides by [tex]\dfrac{4}{15}[/tex].

[tex]\dfrac{\dfrac{2}{5}}{\dfrac{4}{15}}\times \dfrac{4}{15}=\dfrac{3}{2}\times \dfrac{4}{15}[/tex]

[tex]\dfrac{2}{5}=\dfrac{3}{2}\times \dfrac{4}{15}[/tex]

So, the required multiplication is [tex]\dfrac{3}{2}\times \dfrac{4}{15}[/tex].

Therefore, the correct option is B.

Answer:

Which multiplication expression can be used to check this division problem:  StartFraction 2 Over 5 EndFraction divided by StartFraction 4 Over 15 EndFraction = StartFraction 3 Over 2 EndFraction

Two-fifths times StartFraction 4 Over 15 EndFraction

Three-halves times StartFraction 4 Over 15 EndFraction

Three-halves times StartFraction 15 Over 4 EndFraction

Five-halves times StartFraction 15 Over 4 EndFraction

Step-by-step explanation:

( B) AKA 3/2 x 4/15 . This is correct  because I just took the test

Given:

The explicit formula of a sequence is

[tex]f(n)=-9.2-2.5(n-1)[/tex]

To find:

The third, fifth, and seventeenth terms of the sequence.

Solution:

We have,

[tex]f(n)=-9.2-2.5(n-1)[/tex]

For n=3,

[tex]f(3)=-9.2-2.5(3-1)[/tex]

[tex]f(3)=-9.2-2.5(2)[/tex]

[tex]f(3)=-9.2-5[/tex]

[tex]f(3)=-14.2[/tex]

For n=5,

[tex]f(5)=-9.2-2.5(5-1)[/tex]

[tex]f(5)=-9.2-2.5(4)[/tex]

[tex]f(5)=-9.2-10[/tex]

[tex]f(5)=-19.2[/tex]

For n=7,

[tex]f(7)=-9.2-2.5(7-1)[/tex]

[tex]f(7)=-9.2-2.5(6)[/tex]

[tex]f(7)=-9.2-15[/tex]

[tex]f(7)=-24.2[/tex]

Therefore, the third, fifth, and seventeenth terms of the sequence are -14.2, -19.2 and -24.2 respectively.

Answer:

true, i feel ya.

Answer:

Only plot B

Step-by-step explanation:

Answer:

Only Plot B

Step-by-step explanation:

The points in plot A are randomly scattered, and there is no recognizable pattern. So, this plot indicates no correlation between the points Tyler scored and the points Nolan scored.

In plot B, the total points Tyler’s team scored appear to increase as the points Tyler scored increase. This pattern indicates a positive correlation between the two variables.

So, only plot B indicates a positive correlation.

Answer:

1

Step-by-step explanation:

If she has four $8 shirts, that costs $32, leaving her with $18 dollars, only enough for 1 pair of $10 shorts

Answer:

Step-by-step explanation:

- 9j + -11 = 61

        -9j = 61 + 11

        -9j = 72

            j = - 8

Given :

Vanessa bought a 30 pound bag of rice she cooked 7.5 pounds of the rice she stores the rest of the rice in 4.5 pound portions.

To Find :

The maximum number of portions she stored.

Solution :

Let, number of portions she stored is n.

Amount of rice left, A = 30 - 7.5 = 22.5 pounds.

Now, number of portions of 4.5 pounds she stored :

[tex]n = \dfrac{22.5}{4.5}\\\\n = 5[/tex]

Therefore, maximum number of portions she stored is 5.

Hence, this is the required solution.

Answer:

yes, 8.5 and 3.5

Step-by-step explanation:

8.5 + 3.5 = 12

8.5 - 3.5 = 5

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

The two numbers are 8.5 and 3.5.

Yes, it is possible to have two numbers that have a difference of 5 and a sum of 12.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 3 = 4 is an equation.

3x = 4 + 3 is an equation.

We have,

Let the two numbers be M and N.

Now,

Two numbers have a difference of 5.

This can be written as,

M - N = 5 _____(1)

Two numbers sum is 12.

This can be written as,

M + N = 12 _____(2)

From (1) and (2) we get,

M - N = 5

M = 5 + N _____(3)

Putting (3) in (2)

M + N = 12

5 + N + N = 12

5 + 2N = 12

2N = 12 - 5

2N = 7

N = 7/2

N = 3.5

Putting in (3) we get,

M = 5 + 3.5

M = 8.5

We can cross-check.

M - N = 5

8.5 - 3.5 = 5 (PROVED)

M + N = 12

8.5 + 3.5 = 12 (PROVED)

Thus,

The two numbers are 8.5 and 3.5.

Yes, it is possible to have two numbers that have a difference of 5 and a sum of 12.

Learn more about equations here:

https://brainly.com/question/17194269

#SPJ2

The expression that represents the word phrase of the product of 3 and 6 more than a number is 3(6 + x).

Let the given number be x.

Therefore, the expression that represents the word phrase the product of 3 and 6 more than a number will be:

= 3(6 + x)

In conclusion, the correct option will be 3(6 + x).

Read related link on:

https://brainly.com/question/11924335

Answer:

a

Step-by-step explanation:

Vecayse Sjuare tmes

Answer:

$125

Step-by-step explanation:

If you divide 160 by 32 you will get 5 then you will multipy 5 by 25 to get $125

Answer

125$

Step-by-step explanation:

5x32=160

5x25=125

Each pound of apples is equivalent to 5$

Answer:

D

Step-by-step explanation:

y-intercept or "b":

the line touches the y-axis at -4

slope:

the line rises 1, runs 1 every time

equation:

the y-intercept of -4 combined with the slope of 1/1 is the equivalent of

y=1x/1-4 OR in a more simplified format: D, y = x - 4

Answer: 0.85 kilograms

Step-by-step explanation:

The probability of P(Boy/Senior) is 2/37.

Given that, the total number of students=37 and the number of senior boys=2.

P(A|B)=P(A ∩ B)/P(B).

We need to find P(Boy/Senior).

P(A ∩ B) indicates the probability of A and B, or, the probability of A intersection B means the likelihood of two events simultaneously, i.e. the probability of happening two events at the same time.

Now, P(Boy/Senior)=2/37.

Therefore, the probability of P(Boy/Senior) is 2/37.

To learn more about the probability of an event visit:

https://brainly.com/question/17089724.

#SPJ2

Answer:

2/7

Step-by-step explanation:

2 seniors / 7 seniors in total

Answer:

mars is 140 times farther than the moon

Step-by-step explanation:

hope this helped :-)

Answer:

ima guess 3

Step-by-step explanation:

Answer:

the 3rd one

Step-by-step explanation:

0.005, 0.55, 5.00, 5.005, 5.5

brainlyest?

Answer:

I'm confused

Step-by-step explanation:

what is the question???

Answer:

$45.15

Step-by-step explanation:

$42*107.5%

=$45.15

PLS GIVE BRAINLIEST

Answer:

45.15

Step-by-step explanation:

Take 100% (Original Price) and add the 7.5, Aka 107.5.

Multiply the price (42) and the percent that you just got, 107.5%.

Use the percent sign!!!

The answer then should be 45.15

Answer:

There is no equation that you can write for that because the slope is undefined becasue 0 is in the denominator

Step-by-step explanation:

9514 1404 393

Answer:

  4x +5y = 25

Step-by-step explanation:

One way to write the equation is ...

  (y2 -y1)x -(x2 -x1)y = (y2 -y1)(x1) -(x2 -x1)(y1)

  (1 -5)x -(5 -0)y = (1 -5)0 -(5 -0)5

  -4x -5y = -25 . . . . . has a leading minus sign, so we want to multiply by -1

  4x +5y = 25 . . . . standard form equation of the line

__

Another way to write the equation is ...

  y = (y2 -y1)/(x2 -x1)(x -x1) +y1

  y = (1 -5)/(5 -0)(x -0) +5

  y = -4/5x +5 . . . . slope-intercept form of the equation of the line