1. Define, compare and contrast common stock and preferred stock.

2. Define, compare and contrast dividends and dividends in arrears.

3. Define, compare and contrast bond premium and discount.

4. What are the 3 main fee structures of mutual funds?

5. What is NAV and how is it calculated?

Answers

Answer 1
1. Common Stock vs Preferred Stock:

Common Stock:

- Represents ownership in a company and a claim on a portion of the company's assets and earnings.- Has voting rights, allowing shareholders to participate in corporate decision-making.- Dividends are not guaranteed and can fluctuate.- In the event of liquidation, common stockholders are paid after preferred stockholders.

Preferred Stock:

- Represents partial ownership in a company but typically does not carry voting rights.- Typically has a fixed dividend rate, which is paid before dividends to common stockholders.- In the event of liquidation, preferred stockholders have priority over common stockholders.- Can be converted to common stock or have a callable feature, allowing the company to redeem shares at a predetermined price.

Comparison:

- Common stockholders have voting rights, while preferred stockholders generally do not.- Preferred stock usually has a fixed dividend rate, while common stock dividends can fluctuate.- Preferred stockholders have priority in receiving dividends and in the event of liquidation.2. Dividends vs Dividends in Arrears:

Dividends:

- Payments made by a corporation to its shareholders, usually in the form of cash or additional shares.- Typically paid from a company's profits or retained earnings.- Can be regular (e.g., quarterly) or special (one-time) dividends.

Dividends in Arrears:

- Unpaid dividends owed to preferred stockholders.- Occur when a company does not pay the full dividend amount it has committed to for preferred stockholders.- Must be paid before any dividends can be paid to common stockholders.

Comparison:

- Dividends are regular or special payments to shareholders, while dividends in arrears are unpaid dividends owed to preferred stockholders.- Dividends in arrears must be paid before any dividends can be paid to common stockholders.3. Bond Premium vs Bond Discount:

Bond Premium:

- Occurs when a bond's market price is higher than its face value.- Usually results from a decrease in market interest rates, making the bond's fixed interest payments more attractive to investors.- Bond premium is amortized over the life of the bond, reducing the bond's book value.

Bond Discount:

- Occurs when a bond's market price is lower than its face value.- Usually results from an increase in market interest rates, making the bond's fixed interest payments less attractive to investors.- Bond discount is amortized over the life of the bond, increasing the bond's book value.

Comparison:

- A bond premium represents a bond selling for more than its face value, while a bond discount represents a bond selling for less than its face value.- Bond premiums typically occur when market interest rates decrease, while bond discounts occur when market interest rates increase.4. 3 Main Fee Structures of Mutual Funds:

1. Sales Loads: Fees paid when buying or selling shares of a mutual fund. They can be front-end loads (charged when buying shares) or back-end loads (charged when selling shares).

2. Expense Ratio: The annual fee that covers the fund's operating expenses, including management fees, administrative fees, and other costs. It is expressed as a percentage of the fund's average net assets.

3. 12b-1 Fees: Annual fees charged by some mutual funds to cover marketing and distribution expenses. These fees are included in the fund's expense ratio.

5. NAV (Net Asset Value):- NAV represents the per-share value of a mutual fund, calculated by dividing the fund's total net assets by the number of outstanding shares.- Total net assets are calculated by subtracting the fund's liabilities from its total assets.- NAV is typically calculated at the end of each trading day and is the price at which investors can buy or sell shares of the mutual fund.

Related Questions

URGENT!!! Find the surface area of the regular pyramid to the nearest hundredth.

Answers

Answer:

632.83mm²

Step-by-step explanation:

Applying Pythagorean theorem to triangle SOH

SH² = SO² + OH²

SH = [tex]\sqrt{(15.4)^2+(7.2)^2}=17mm[/tex]

Since the base of the pyramid is a regular pentagon, angle OAH
is 108°/2 = 54°.

AH = 7.2/tan 54° = 5.23mm

So AB = 2AH = 10.46mm

The area of triangle SAB is:

A1 = 1/2 × SH × AB = 1/2 × 17 × 10.46 = 88.91mm²

The area of all triangles is

A2 = 5 × A1 = 5 × 88.91 = 444.55mm²

The area of the base is:

A3 = (perimeter × apothem)/2 = (5 × 10.46 × 7.2)/2 = 188.28mm²

The surface area of the pyramid is:

A2 + A3 = 444.55 + 188.28 = 632.83mm²

Step-by-step explanation:

the surface area is the sum of the base area (pentagon) and the 5 side triangles (we only need to calculate one and then multiply by 5, as they are all equal).

these side triangles are isoceles triangles (the legs are equally long).

the usual area formula for a pentagon is

1/2 × perimeter × apothem

the apothem is the minimum distance from the center of the pentagon to each of its sides.

in our case this is 7.2 mm.

how to get the perimeter or the length of an individual side of the pentagon ?

if the apothem of a pentagon is given, the side length can be calculated with the formula

side length = 2 × apothem length × tan(180/n)

where 'n' is the number of sides (5 in our case). After getting the side length, the perimeter of the pentagon can be calculated with the formula

perimeter = 5 × side length.

so, in our case

side length = 2 × 7.2 × tan(180/5) = 14.4 × tan(36) =

= 10.4622124... mm

perimeter = 5 × 10.4622124... = 52.31106202... mm

area of the pentagon = 1/2 × perimeter × apothem =

= 1/2 × 52.31106202... × 7.2 = 188.3198233... mm²

now for the side triangles.

the area of such a triangle is

1/2 × baseline × height

baseline = pentagon side length

height we get via Pythagoras from the inner pyramid height and the apothem :

height² = 7.2² + 15.4² = 51.84 + 273.16 = 289

height = 17 mm

area of one side triangle =

1/2 × 10.4622124... × 17 = 88.92880543... mm²

all 5 side triangles are then

444.6440271... mm²

and the total surface area is then

444.6440271... + 188.3198233... = 632.9638504... mm²

≈ 632.96 mm²

Sue's class just held a class election. 21 students voted in the election and 4 did not. What percentage of the students voted ?

Answers

Answer:

84%

Step-by-step explanation:

The total is 25 students. (21+4)

The students that voted are 21

21/25 = 0.84

is the p- value 4.91541E-15 higher or lower than 0.05?​

Answers

The p-value of 4.91541E-15 (or 4.91541 x 10^-15) is considerably beneath the conventional significance level of 0.05 employed in statistical hypothesis testing.

How to get the p value that is greater

In hypothesis testing, the p-value symbolizes the probability of detecting the test statistic (or an even larger value) under the null hypothesis. A p-value of 0.05 or below often appears statistically relevant, suggesting powerful evidence contrary to the null hypothesis.

Therefore, a p-value of 4.91541E-15 being far less than 0.05 implies very compelling evidence against the null hypothesis.

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Need some help I’m stuck!!!!

Answers

Answer:

I think it’s

False

True

True

True

True

False

True

False

The temperature on Tuesday was -5 Celsius the temperature in Wednesday was 5 Celsius

Answers

The temperature of Srinagar on Wednesday was -3°C.

If the temperature was -5°C on Monday and dropped by 2°C on Tuesday, we can subtract 2 from -5 to get:

-5°C - 2°C = -7°C

So the temperature of Srinagar on Tuesday was -7°C.

If the temperature on Wednesday rose by 4°C from the temperature on Tuesday, we can add 4 to -7°C to get:

-7°C + 4°C = -3°C

So the temperature of Srinagar on Wednesday was -3°C.

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The complete question:

At Srinagar temperature was -5°C on Monday and then it dropped by 2°C on Tuesday. What was the temperature of Srinagar on Tuesday? On Wednesday, it rose by 4°C. What was the temperature on this day?

If the are of a triangle is 48ft2 and the hieght of the triangle is 12ft what would the length of the base be

Answers

Answer:

8 ft

Step-by-step explanation:

Area of a triangle=1/2*base*height

You know the area of the triangle and the height, so you can set up an expression to solve for the base

48=1/2*base*12

4=1/2*base

base=8ft

Check: A=1/2*8*12, A=48 ft²

When the angle of elevation of the sun is 62°, a telephone
pole that is tilted at an angle of 8° directly away from the sun
casts a shadow 20 feet long. Determine the length of the pole
to the nearest tenth of a foot.

Answers

Answer:

  30.0 ft

Step-by-step explanation:

You want the length of a pole whose shadow is 20 ft long when the angle of elevation of the sun is 62° and the pole is tilted 8° away from the sun.

Law of Sines

Referring to the attached diagram, we see that the interior angle at B of triangle ABC is 90° -8° = 82°. This makes the interior angle at A ...

  A = 180° -82° -62° = 36°

The law of sines tells us side lengths are proportional to the sines of the opposite angles:

  c/sin(C) = a/sin(A)

  c = a×sin(C)/sin(A) = 20×sin(62°)/sin(36°) ≈ 30.043 . . . feet

The length of the pole is about 30.0 feet.

What is the difference between the median math test score in the morning and the afternoon?

Answers

The difference between the median math test score, as shown by the ox plots, is: 12.5.

How to Find the Median in a Box Plot?

The median of a data set is displayed in a box plot as the value that is at the vertical line that divides the rectangular box. This is also 50% mark of the data set.

Thus, the data set for afternoon, as shown in the box plot has a median that is 75, while the median of the data set for morning is 87.5.

Find the difference of their medians:

Difference of their medians = 87.5 - 75 = 12.5.

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The product of 4 and a number, all subtracted from 12.

Answers

The algebraic expression is represented as 12 - 4x

How to determine the expression

It is important that we note that algebraic expressions are those expressions that are made up of some variables, certain terms, coefficients, factors and constants.

These algebraic expressions are also identified with the presence of arithmetic operations, such as;

Addition BracketParenthesesSubtractionMultiplicationDivision

From the information given,

Let the number by x

We then have;

The coefficient is 4

The constant is 12

The variable is x

Substitute the terms

12 - 4x

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Find the value of x.
78°
OA7
OB. 8
O C. 5
O D. 1
(12x+18)

Answers

Step-by-step explanation:

you can find the answer by vertical opposite angle

if the value of x is computed and it's equal to 78 you will find the answer

78=(12x+18)^

78=(12×5+18)

78=(60+18)

78=78 the problem is solved

may u get branliest please please

К
1
A store specializing in mountain bikes is to open in one of two malls. If the first mall is selected, the store anticipates
a yearly profit of $1,275,000 if successful and a yearly loss of $425,000 otherwise. The probability of success is 1/2
If
the second mall is selected, it is estimated that the yearly profit will be $850,000 if successful; otherwise, the annual
loss will be $255,000. The probability of success at the second mall is
3
4
a. What is the expected profit for the first mall?

Answers

The expected profit for the first mall is $425,000.

How to calculate the  expected profit for the first mall

To calculate the expected profit for the first mall, we need to multiply the profit for each outcome by its probability, and then add up the results.

Let S denote success and F denote failure for the first mall.

Then the expected profit is:

Expected profit for the first mall = (probability of success) × (profit for success) + (probability of failure) × (profit for failure)

Expected profit for the first mall = (1/2) × $1,275,000 + (1/2) × (-$425,000)

Expected profit for the first mall = $637,500 - $212,500

Expected profit for the first mall = $425,000

Therefore, the expected profit for the first mall is $425,000.

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Given the following equation, x^4 -4x^2+10x+13 use synthetic division and show if they are root or not.

Please show steps.

Answers

The zeros are not the factors of the expression using the synthetic method

Testing the factors using the synthetic method

The expression is given as

x⁴ - 4x² + 10x + 13

Testing the factors, we have

(x, y) = (2, 0)

The synthetic set up is

2 |   1  0  -4   10   12

    |__________

Bring down the first coefficient, which is 1 and repeat the process

2 |   1  0  -4   10   12

    |___2_4__0__20__

       1   2   0  10    32

This has a remainder of 32

So, (2, 0) is not a factor

(x, y) = (1, 0)

The synthetic set up is

1 |   1  0  -4   10   12

    |__________

Bring down the first coefficient, which is 1 and repeat the process

1  |   1  0  -4   10   12

    |___1__1__-3_7__

       1   1   -3    7    19

This has a remainder of 19

So, (1, 0) is not a factor

(x, y) = (-1, 0)

The synthetic set up is

-1  |   1  0  -4   10   12

    |__________

Bring down the first coefficient, which is 1 and repeat the process

-1  |   1  0  -4   10   12

    |__-1__1__3__13__

       1  -1   -3    13   25

This has a remainder of 25

So, (-1, 0) is not a factor

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Adding phasers

Z1=2 / 63° Z2=5 / 42°

What’s is z1+z2

Answers

Answer:

the sum of Z1 and Z2 is 4.553 + j 5.326.

Step-by-step explanation:

To add two phasors, we add their real and imaginary parts separately.

Given:

Z1 = 2 / 63°

Z2 = 5 / 42°

Converting them to rectangular form:

Z1 = 2 cos(63°) + j 2 sin(63°) = 0.921 + j 1.862

Z2 = 5 cos(42°) + j 5 sin(42°) = 3.632 + j 3.464

Adding them:

Z1 + Z2 = (0.921 + 3.632) + j (1.862 + 3.464)

= 4.553 + j 5.326

Therefore, the sum of Z1 and Z2 is 4.553 + j 5.326.

hope this helped you!;))

Summary of Angle Relationships in a Circle

Answers

The summary of Angle Relationships in a Circle is given.

The following is an overview of angle relationships in a circle:

The vertex of a central angle is the center of the circle. A central angle's length equals the length of the arc it crosses.

Inscribed angle: An angle with a circle as its vertex and sides that intersect two separate arcs. An inscribed angle has half the length of the arc it intersects.

Tangent-chord angle: A tangent-chord angle is generated when a tangent and a chord cross at the point of tangency. The length of this angle is half the length of the intercepted arc.

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Mrs Netshirando sells 450 g packs of rusks at R49,50 per pack. The table below shows the main ingredients of the rusks. TABLE 1: MAIN INGREDIENTS TO BAKE 5 000 g OF RUSKS Quantities Ingredients Self-rising flour Bran flour Raisins Butter NOTE: A rusk is a hard, dry biscuit or twice baked bread se the information above to answer the questions that follow. 1,56 kg 6,25 cups 1 Convert 1,56 kilogram (kg) to gram (g). 125 g [Adapted from www.food24.com/Recipes-and-Menus South-African-Recipes! 625 g​

Answers

1560 g.

To convert 1.56 kg to g, we can use the conversion factor 1 kg = 1000 g:

1.56 kg = 1.56 x 1000 g = 1560 g

Therefore, the answer is 1560 g.

Graph each function and determine the y-intercept, then use the graph to determine the approximate value of the given expression. y = 9 Superscript x Baseline, 9 Superscript 0.8 a. 0; 2.6 c. 0; 4.9 b. 1; 3.4 d. 1; 5.8

Answers

The y- intercept for both function is 0 and 5.8.

We have First function

y= [tex]9^x[/tex]

Now , the y intercept of the equation is when x = 0

So , when x = 0

y= [tex]9^0[/tex]

y= 0

and, the second function is

y= [tex]9^{0.8[/tex]

y= 5.799

Hence, second function have intercept 5.8.

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Births are approximately uniformly distributed between the 52 weeks of the year. They can be said to follow a Uniform Distribution from 1 – 53 (spread of 52 weeks).

Graph this density curve.
Find the proportion of babies born after the 40th week of the year
Find the proportion of babies born before the 10th week of the year
Find the proportion of babies born between the 10th and 40th week of the year

Answers

The proportion of the babies born

After the 40th week of the year: 80.7%Before the 10th week of the year: 12.9%Between the 10th and 40th week of the year: 67.8%

Finding the proportion of babies born

Given that

Uniform Distribution from 1 – 53

This means that

a = 1 and b = 53

So, we have

Mean = (a + b)/2 = (1 + 53)/2 = 27

Standard deviation = √[(b – a)² / 12] = √[(53 – 1)² / 12] = 15

After the 40th week of the year

The z-score is calculated as

z = (x - mean)/Standard deviation

So, we have

z = (40 - 27)/15 = 0.8667

So, we have

Proportion = P(z > 0.8667)

Proportion = 80.7%

Before the 10th week of the year

z = (10 - 27)/15 = -1.133

So, we have

Proportion = P(z < -1.133)

Proportion = 12.9%

Between the 10th and 40th week of the year

This is calculated as

Proportion = (-1.133 < z < 0.8667)

So, we have

Proportion = 67.8%

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A circular arc has measure 6cm and is intercepted by a central angle of 40°

Answers

Answer:

We can use the formula to find the length of a circular arc given the measure of the central angle and the radius:

Length of arc = (central angle measure / 360) x 2πr

where r is the radius of the circle.

Given that the central angle measure is 40° and the length of the arc is 6 cm, we can set up the equation:

6 = (40/360) x 2πr

Simplifying the fraction and solving for r, we get:

6 = (1/9) x 2πr

r = 9 x 6 / 2π

r = 27/π

So the radius of the circle is 8.59 cm (rounded to two decimal places).

ng Linear Equations Using Similar Triangles On a coordinate plane, a line goes through (0, 3) and (x, y). A triangle has a rise of 2 and run of 3. A larger triangle has a rise of 5 and run of 7. Use similar triangles to determine the equation of the line with a slope of 2/3 that passes through the point (0, 3). What is the ratio of the rise to the run in the smaller triangle in the diagram? What is the ratio of the rise to the run in the larger triangle in the diagram? What is the equation of the line in slope-intercept form?

Answers

Answer:

Step-by-step explanation:

Les opinions des 450 élèves d'un lycée quant à savoir s'ils soutiennent le candidat A à la présidence du corps étudiant sont présentées ci-dessous. Masquez et mélangez toutes les valeurs. Prenez un échantillon aléatoire de 25 valeurs de la population. Sur la base de cet échantillon, trouvez la proportion de l'échantillon et utilisez cette valeur pour créer un intervalle de confiance à 95 % pour la véritable proportion de la population qui soutient le candidat A, en arrondissant au millième le plus proche.

Échantillon Oui : 19 Échantillon N° : 6 Échantillons : 25

The function A = A0e
-0.0077x models the amount in pounds of a particular radioactive material
stored in a concrete vault, where x is the number of years since the material was put into the vault. If
300 pounds of the material are initially put into the vault, how many pounds will be left after 140
years

Answers

There will be about 105.28 pounds of radioactive material in the concrete vault after 140 years.

The function [tex]A = A_0e^{(-0.0077x)}[/tex] gives the amount A of the radioactive material, where A0 is the initial amount of the material, x is the number of years since it was put in the vault, and e is the mathematical constant approximately equal to 2.71828.

We are given that the initial amount of material put into the vault is 300 pounds.

Therefore, [tex]A_0 = 300[/tex].

We want to find the amount of material that will be left after 140 years. Therefore, x = 140.

Substituting these values into the function, we get:

[tex]A = A0e^{(-0.0077x)}\\A = 300e^{(-0.0077 * 140)}\\A = 105.28[/tex]

Therefore, after 140 years, approximately 105.28 pounds of radioactive material will be left in the concrete vault.

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What is the probability that either event will occur?
14,24,10,18
P(A or B)= ?P(A)+P(B)-P(A and B)

Please answer in a simple way so I can understand how to do it.

Answers

The probability that either event will occur to the nearest hundredth would be = 0.9

How to calculate the probability of the given events?

To calculate the probability of the given events, the sample space should be generated and followed by the probability of each sample space generated.

That is;

P(A) = 14/18 = 0.78

P(B) = 10/18 = 0.56

P(A and B) = 0.78×0.56 = 0.4368

Therefore ;

P(A or B)= 0.78+0.56-0.4368

= 1.34- 0.4368

= 0.9

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Enter your answer in the box as a mixed number in simplest form.


A rectangular prism with the width as six centimeters, the length as two and a half centimeters and the height as four and a half centimeters.

cm³

Answers

The volume of the rectangular prism which is as described in the task content is; 67½ cm³.

What is the value of the rectangular prism?

It follows from the task content that the value of the rectangular prism which is as described is required to be determined.

Since the rectangular prism has width as six centimeters, the length as two and a half centimeters and the height as four and a half centimeters;

Volume = l × w × h

Volume = 2½ × 6 × 4½

Volume = 5/2 × 6 × 9 / 2

Volume = 67½ cm³.

Ultimately, the volume of the prism is; 67.5 cm³.

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Solve for m. m + 310 = 786 ​

Answers

Answer:

m = 476

Step-by-step explanation:

m + 310 = 786

(Subtract 310 from both sides.)

m = 786 - 310

(Subtract 310 from 786 to get 476)

m = 476

Lab Assessment
1
2
3
b. -5
4
Active
What is the slope of the line that cuts through the points (1, -5) and (3, 5)?
a. 5
C.
1
d.
-
5
-1.5
Please select the best answer from the choices provided

Answers

The slope of the line that cuts through the points (1, -5) and (3, 5) is equal to 2.

How to calculate or determine the slope of a line?

In Mathematics and Geometry, the slope of any straight line can be determined by using the following mathematical equation;

Slope (m) = (Change in y-axis, Δy)/(Change in x-axis, Δx)

Slope (m) = rise/run

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

By substituting the given data points into the slope formula, we have the following;

Slope (m) = (5 - (-5))/(3 - 1)

Slope (m) = (5 + 5)/(2)

Slope (m) = 10/2

Slope (m) = 2.

Based on the graph, the slope is the change in y-axis with respect to the x-axis and it is equal to 2.

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please find the area to question 4 on tuesday use link below

Answers

Answer: im pretty sure the answer is in the pdf, when you scroll down. its 126 cm^2

Step-by-step explanation:

What is the volume? round to nearest thousandth

Answers

The volume of the cone is  37.70 cm³.

What is the volume of the cone?

The volume of the cone is calculated as follows;

V = ¹/₃πr²h

where;

r is the radius of the coneh is the height of the cone

The radius of the cone is calculated by applying the following formula;

r = √ (5² - 4²)

r = 3 cm

The volume of the cone is calculated as;

V = ¹/₃πr²h

V = ¹/₃π(3)²(4)

V = 37.7 cm³

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Find the volume of this sphere.
Use 3 for T
8 in
V ≈ [?]in³
V = πr3

Answers

The volume of this sphere is 1607. 68 in³

How to determine the volume

It is important to note that the formula that is used to calculate the volume of a sphere is expressed as;

V = 4/3 πr3

Given that the parameters are;

V is the volume of the sphereπ takes the constant value of 3.14r is the radius of the sphere

From the information given,

Substitute the values, we have;

Volume = 4/3 × 3.14 ×8³

Find the cube values, we get;

Volume = 4/3 × 3.14 × 512

Multiply the values

Volume = 2143. 57 in³

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please find the area with the formula or how you found the anwser use link below

Answers

The equivalent expression for 8y + 12 + 2y + 8 will be 10y + 20.

The number of problems that she get wrong is 4.

The days that Jared work to make 20 bird houses is 15 days.

How to calculate the value

The equivalent expression for 8y + 12 + 2y + 8 will be:

= 8y + 12 + 2y + 8

= 10y + 20

The number of problems that she get wrong is:

= (1 - 84%) × 25

= 0.16 × 25

= 4.

The days that Jared work to make 20 bird houses is:

= 3/4 × 20

= 15 days.

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Write an equivalent expression for 8y + 12 + 2y + 8

Maria’s math test had 25 questions. She got 84% correct. How many problems did she get wrong?

Jared made 4 bird houses in 3 days. How many days will Jared work to make 20 bird houses?

Which number should be added to the data so that the range of the data is 63?

78, 61, 95, 77, 85, 97

Answers

Answer:

124

Step-by-step explanation:

To find the number that should be added to the data so that the range of the data is 63, we first need to find the current range of the data.

The range of a set of data is the difference between the largest and smallest values in the set.

So, to find the current range of the data, we need to subtract the smallest value from the largest value:

Range = largest value - smallest value

Range = 97 - 61

Range = 36

This means that the current range of the data is 36.

To increase the range to 63, we need to add a number that is 63 - 36 = 27 larger than the current range.

To do this, we can add 27 to the largest value in the data set, which is 97:

97 + 27 = 124

So, we should add 27 to the data set to increase the range to 63.

Therefore, the complete set of data would be:

78, 61, 95, 77, 85, 97, 124

Check:

To find the range of the data set 78, 61, 95, 77, 85, 97, 124, we need to subtract the smallest value from the largest value:

Range = largest value - smallest value

Range = 124 - 61

Range = 63

Therefore, the range of the data set 78, 61, 95, 77, 85, 97, 124 is 63.

Edgar has several different types of songs in a playlist. Suppose he plays a song at random from the playlist. How much greater is the probability that he plays a rock song than a hip hop song

Answers

The probability that he plays a rock song than a hip hop song is greater than 0.1. The Option B is correct.

How much greater is the probability?

Probability helps to find out the likelihood of the occurrence of an event by measuring the chance of an event happening and is equal to the number of favorable events divided by the total number of events.

Given that:

Total of songs = 40

Prob (playing rock) = 15/40

Prob (playing hip-pop) = 11/40

How much greater probability he plays a rock song than a hip hop song will be:

= 15 / 40 - 11/40

= 15 - 11 / 40

= 4/40

= 1/10

= 0.1

Read more about probability

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