How does the quantity of shares you own impact your dollar gains and losses?
how does the length of time you hold the shares impact your rate of return?
How does the quantity of shares you own impact your rate of return?

Answers

Answer 1

The quantity of shares you own can impact your dollar gains and losses, but not your rate of return. The length of time you hold the shares can have a significant impact on your rate of return, with longer holding periods generally leading to higher returns.

Investing in stocks can be a great way to earn money, but it's important to understand how your investments can impact your gains and losses. Two key factors that can impact your returns are the quantity of shares you own and the length of time you hold the shares. In this article, we'll explore how these factors can affect your rate of return.

Impact of Quantity of Shares:

The quantity of shares you own can have a direct impact on your dollar gains and losses. When the stock price goes up, the value of your shares also increases. Similarly, when the stock price goes down, the value of your shares also decreases. If you own more shares, the dollar amount of your gains and losses will be greater.

But, how does the quantity of shares impact your rate of return? Rate of return is the percentage change in the value of your investment over a certain period of time. It takes into account the gains and losses as well as the length of time you held the investment.

Impact of Length of Time:

The length of time you hold the shares can have a significant impact on your rate of return. Generally, the longer you hold the shares, the higher your rate of return will be. This is because the stock market tends to go up over time, and the longer you hold the shares, the more time you have to benefit from this growth.

Impact of Quantity and Time on Rate of Return:

So, how does the quantity of shares you own impact your rate of return? As we mentioned earlier, the rate of return is only impacted by the percentage change in the stock price, not the quantity of shares. However, owning more shares can provide you with a higher dollar amount of gains, which can lead to a higher rate of return.

Additionally, the longer you hold the shares, the higher your rate of return will be. This means that if you own more shares and hold them for a longer period of time, you can potentially earn a higher rate of return.

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Related Questions

Harry is a Wizard. He brought 4 new cloaks and 2 wands. Each cloak and each wand is the same price. If he paid Hogwarts gift-shop $498, how much does each wand cost?

Answers

Each wand costs $83, found by dividing the total cost of $498 by the total number of items, 6 (4 cloaks and 2 wands), resulting in $498 / 6 = $83.

To solve for the cost of each wand, we first need to determine the cost of each item (cloak and wand) that Harry bought. We can represent the cost of each item as "x". Since Harry bought 4 cloaks, the total cost of the cloaks is 4 * x. Similarly, since he bought 2 wands, the total cost of the wands is 2 * x.

The total cost of the cloaks and wands that Harry bought was $498, so we can write the equation: 4 * x + 2 * x = $498. This equation represents the total cost of the 4 cloaks plus the 2 wands, which must equal $498.

Next, we can simplify the equation by combining like terms: 4 * x + 2 * x = 6 * x = $498.

Finally, we can find the cost of each item by dividing both sides of the equation by 6: x = $498 / 6 = $83.

Therefore, each wand costs $83.

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the sum of two numbers is 2490.if 65% of one number is equal to 85% of the other, the smallest is?

Answers

Answer:

the smallest number is 1079

Step-by-step explanation:

Let the numbers be x and y

We have two equations
x + y = 2490   (1)
0.65x = 0.85y   (2)
Take the first equation
[tex]x + y = 2490[/tex]

Move y to the right side:
[tex]x=2490-y[/tex]
Substitute for x in the second equation:
[tex]0.65x=0.85y[/tex]
[tex]0.65\left(2490-y\right)=0.85y[/tex]
[tex]1618.5-0.65y=0.85y[/tex]
Multiply throughout by 100:
[tex]161850 - 65y = 85y[/tex]
Move 161850 to the right side:
[tex]-65y=85y-161850[/tex]
Move 85y to the left side:
[tex]-65y=85y-161850[/tex]
[tex]-150y=-161850[/tex]
Divide both sides by -150
[tex]\dfrac{-150y}{-150}=\dfrac{-161850}{-150}[/tex]
[tex]y=1079[/tex]
Substitute for y in x = 2490 -y
[tex]x=2490-1079[/tex]
[tex]x=1411[/tex]
So the smaller number is 1079 and the larger number is 1411









Assume that a fair die is rolled. The sample space is {1, 2, 3, 4, 5, 6} if you roll the die once, calculte the following probabilities. Write you answers in fraction form and in lowest terms (e. G. 1/4) a) the probability of getting a 6 is. B) the probability of getting an even number is. C) the probability of getting a number greater than 2 is

Answers

The probability for the sample space of a fair die rolled out {1, 2, 3, 4, 5, 6} with different conditions are :

a. Probability of getting 6 = 1/6

b. Probability of an even number on a die = 1/2

c. Probability of number more than 2 = 2/3.

Sample space is equal to {1, 2, 3, 4, 5, 6}

Number of times die rolled out = only once.

Total number of outcomes = 6

Probability = ( Number of favourable outcomes ) / ( Total outcomes )

Required probability in fraction form with lowest terms:

a. Probability of getting 6

Favourable outcomes ={ 6 }

Number of favourable outcomes = 1

Probability of getting 6  = 1 / 6

b. Probability of getting an even number

Favourable outcomes = { 2, 4, 6 }

Number of favourable outcomes = 3

Probability = 3 / 6

                  = 1 / 2

c. Probability of getting number greater than 2

Favourable outcomes = { 3, 4, 5, 6 }

Number of favourable outcomes = 4

Probability = 4 / 6

                  = 2 / 3

Therefore, the required probability as per the mentioned conditions are:

a. Probability of getting 6 = 1/6

b. Probability of even number = 1/2

c. Probability of number greater than 2 = 2/3.

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1000m divide by 100n written in form of 10z

Answers

The expression 1000m ÷ 100n in the form of 10z is 10m/10n, which simplifies to m/10n.

What is an expression?

In mathematics, an expression is a combination of one or more numbers, variables, and operations such as addition, subtraction, multiplication, division, exponentiation, and so on.

We can simplify the expression 1000m ÷ 100n as follows:

1000m ÷ 100n = (1000 ÷ 100) × (m ÷ n)

= 10 × (m ÷ n)

= 10m/n

To write this in the form of 10z, we need to find a value of z that makes 10z equal to 10m/n. Since 10z is equal to 10 times z, we can set 10 times z equal to 10m/n and solve for z as follows:

10z = 10m/n

Dividing both sides by 10, we get:

z = m/10n

Therefore, the expression 1000m ÷ 100n in the form of 10z is 10m/10n, which simplifies to m/10n.

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Samir bought snacks for his team's practice. He bought a bag of popcorn for $1.67 and a 24-pack of juice bottles. The total cost before tax was $31.19. Write and solve an equation which can be used to determine
x, how much each bottle of juice cost.

Answers

Answer:

Step-by-step explanation:

is this in deltamath or bigideas? lol

(31.19-1.67)/24=x

"/" means divide.

help I need help somebody help

Answers

The expression to represent the total volume of the two storage spaces is s³+12.

What is the volume?

Volume is the measure of the capacity that an object holds.

Formula to find the volume of the object is Volume = Area of a base × Height.

Given that, the edge of the large cube s feet and the volume of the small cube is 12 ft³.

We know that, the formula to find the cube is side³.

Volume of large cube = s×s×s

= s³

Total volume of the two storage spaces =s³+12

If edge of large cube is 4 feet long, then the volume is

4³ = 64 ft³

Therefore, the expression to represent the total volume of the two storage spaces is s³+12.

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Step 3: Apply the slope formula: m =
2-3
-1-6
m=
(1/5)
(-1/7)
(1/7)
32-).
X2 X1

Answers

The slope formula is m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points on the line and m is the slope of the line. To use the formula, you need to know the coordinates of two points on the line. If you have the coordinates of two points, you can substitute them into the formula to find the slope.

Expand and simplify
(3x + 4)(2x + 3)

Answers

Answer:

6x^2 + 17x + 12

Step-by-step explanation:

(3x + 4)(2x + 3) - Distribute

6x^2 + 9x + 8x + 12

6x^2 + 17x + 12

weinstein, mcdermott, and roediger (2010) conducted an experiment to evaluate the effectiveness of different study strategies. one part of the study asked students to prepare for a test by reading a passage. in one condition, students generated and answered questions after reading the passage. in a second condition, students simply read the passage a second time. all students were then given a test on the passage material and the researchers recorded the number of correct answers. a. identify the dependent variable for this study. b. is the dependent variable discrete or continuous?

Answers

a. The dependent variable for this study is the number of correct answers on the test given.

b. The dependent variable in this study is a discrete variable.

a. The dependent variable for this study is the number of correct answers on the test given to the students after they prepared for the test by either generating and answering questions or reading the passage a second time.

b. The dependent variable in this study is a discrete variable because the number of correct answers can only take on whole numbers (e.g., 0, 1, 2, 3, etc.). It is not possible to have fractional or continuous values of correct answers on the test.

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2.5 pounds of meat for 2 dogs x pounds of meat for 7 dogs

Answers

There are 8.75 pounds of meat for 7 dogs

How to find the value of x?

Ratio is used to compare two or more quantities. It is used to indicate how big or small a quantity is when compared to another.

Since 2.5 pounds of meat for 2 dogs x pounds of meat for 7 dogs. We can write:

2.5/2 = x/7

2*x = 2.5*7

2x = 17.5

x = 17.5/2

x = 8.75

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Kim bought a birdhouse that originally cost $36. She used a coupon that took 25% off the price. How much money did Kim save?

Answers

Kim saved $9 by using the coupon.

How to find Original price?

The MSRP (i.e., Manufacturer's Suggested Retail Price) set the original price, which is the cost. In the majority of cases, the original price would have been less expensive than the current price, though this is not always the case. Finding an item's original price and knowing the price after a discount are both made possible by original price.

Original price = Sales price/(100%-Discount%)

To find out how much money Kim saved, we need to first find out how much the birdhouse cost after the coupon was applied.

The coupon took 25% off the original price, so the birdhouse cost 100% - 25% = 75% of its original price.

So, the new price of the birdhouse would be:

36 * 75% = $27

Kim saved 36 - 27 = $9 by using the coupon.

Therefore, Kim saved $9 using the coupon.

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The altitude of an airplane coming in for a landing is represented by the equation shown below, where y represents the altitude, in feet, of the plane and x represents the number of minutes the plane has been decending: y = -128x + 3,840

Part A: Create a table for the values when x + 0, 5, 8, 10, 30. Include worked-out equations used to identify the values within the table.

Part B: Identify the altitude after 5 minutes and after 30 minutes. Use 1-2 sentences to explain the altitude at these two times and describe what is happening to the airplane at these time intervals.

Answers

The altitude of the airplane after 30 minutes of descending is 0 feet, which means the airplane has landed.

What is the altitude?

The height of an object or point in relation to sea level or ground level.

Part A:

To create a table for the given equation, we substitute the given values of x in the equation and calculate the corresponding values of y:

x y = -128x + 3,840

0 3,840

5 3,200

8 2,624

10 2,304

30 0

Part B:

To find the altitude after 5 minutes, we substitute x = 5 in the given equation:

y = -128(5) + 3,840

y = 3,200

So the altitude of the airplane after 5 minutes of descending is 3,200 feet.

To find the altitude after 30 minutes, we substitute x = 30 in the given equation:

y = -128(30) + 3,840

y = 0

The altitude of the airplane is decreasing as time (x) increases, as given by the negative slope (-128) of the equation.

At 5 minutes, the airplane has descended to an altitude of 3,200 feet, which is still relatively high.

At 30 minutes, the altitude has decreased to 0, which means the airplane has landed on the ground.

Hence, the altitude of the airplane after 30 minutes of descending is 0 feet, which means the airplane has landed.

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What value of x makes the equation true
3(2x-5+8x)=5(2x+5)

Answers

The value of x that makes the equation 3(2x - 5 + 8x) = 5(2x + 5) true is 2

How to evaluate for the value of x for the equation

We shall evaluate for the value of x to know what makes the algebraic equation true as follows;

3(2x - 5 + 8x) = 5(2x + 5)

3(10x - 5) = 5(2x + 5)

30x - 15 = 10x + 25 {expand bracket}

30x - 10x = 25 + 15 {collect like terms}

20x = 40

x = 40/20 {divide through by 20}

x = 2

Therefore, the value of x that makes the equation 3(2x - 5 + 8x) = 5(2x + 5) true is 2.

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Malik just got hired for a new job and will make $96, 000 in his first year. Malik was
told that he can expect to get raises of $5,000 every year going forward. How much
money in salary would Malik make in his 11th year working at this job?

Answers

The amount of money Jamar will make in his 18th year working at this job is = $107,500

What is salary outcome?

A salary is a form of periodic payment from an employer to an employee, which may be specified in an employment contract. It is contrasted with piece wages, where each job, hour or other unit is paid separately, rather than on a periodic basis.

here, we have,

Calculation of yearly salary outcome

The amount of money Jamar made in his first year= $48,000

The salary rise per year = $3,500

The amount of money he will make for the extra 17 years is

= 17 × $3,500

= $59,500

Therefore the amount he will receive as his salary in the 18th year working at this job = $48,000 + $59,500

= $107,500

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Pls help me do this its kinda hard for me sense im not in a higher grade

Answers

Supplementary angles are those angles whose sum add to 180 all the time!
So this is what you can do
X+110=180
X=180-110
X=70
The angles is 70 degrees.

Assume d varies directly as t and d = 180 when t = 3. Find t when d = 390.

Answers

The value of t is 6.5. The value of the constant is 60

What varies directly?

The relationship between two variables in which one is a constant multiple of the other is referred to as direct variation. For instance, two variables are said to be in proportion when one affects the other. b = ka is the equation if b is directly proportional to a. (where k is a constant).

Given that  d varies directly as t.

The relation between d and t is

d = kt.

Given that d = 180 when t = 3.

Putting d = 180 and t = 3 in d = kt

180 = 3k

Divide both sides by 3:

k = 180/3

k = 60

Putting k = 60  in d = kt:

d = 60t

Now putting d = 390 in d = 60t:

390 = 60t

60t = 390

Divide both sides by 60

t = 6.5

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A second hand car dealer bought a car for R85 000. The costs related to the transaction amount R250. He sells the car for R93 000. Calculate the profit he made on the deal

Answers

The profit made on the transaction by the dealer was Rs. 7,750.

To calculate the profit made by the second hand car dealer, you can subtract the cost of buying the car and the transaction costs from the selling price.

Profit = Selling Price - Cost of Car - Transaction Costs

Profit = 93,000 - 85,000 - 250

Profit = 7,750

So the dealer made a profit of Rs. 7,750 on the transaction.

Profit and Loss (P&L) is a statement that summarizes a company's revenues and expenses over a specific period of time, typically a quarter or a year. The purpose of a P&L statement is to show a company's ability to generate revenue, as well as the cost of doing so. The difference between a company's total revenue and total expenses is referred to as net profit or net loss

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the probability that anthony is on time for work is 0.90. the probability that anthony takes the train to work is 0.80. given that anthony takes the train to work, the probability that he is on time is 0.95. what is the probability that anthony is on time for work and takes the train?

Answers

The probability that Anthony is on time for work and takes the train is 0.76.

What is probability?

The probability of an occurrence is a figure that represents how likely it is that the event will take place. In terms of percentage notation, it is expressed as a number between 0 and 1, or between 0% and 100%. The higher the likelihood, the more likely it is that the event will take place.

Here, we have

Given: the probability that Anthony is on time for work is 0.90. the probability that Anthony takes the train to work is 0.80. given that Anthony takes the train to work, the probability that he is on time is 0.95.

We let

A: Anthony being on time for work

B: Anthony will take the train to work

P(A) = 0.9

P(B) = 0.8

P(A/B) = 0.95

P(Anthony is on time for work and takes the train):

P(A∩B) = P(A/B). P(B)

P(A∩B) = 0.95×0.8

P(A∩B) = 0.76

Hence, the probability that Anthony is on time for work and takes the train is 0.76.

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Becky is making fruit salad with strawberries and cherries. She has 1.84 pounds of strawberries and 2.62 pounds of cherries. She mixes the two fruits together and then scoops out 0.25 pounds of fruit salad for each serving. What is the greatest number of 0.25 pound servings Becky can make?

Answers

The greatest number of 0.25 pound servings Becky can make is 18.

What is the unitary method?

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given that, Becky has 1.84 pounds of strawberries and 2.62 pounds of cherries.

Now, number of pounds of salads

= 1.84+2.62

= 4.46 pounds

Becky mixes the two fruits together and then scoops out 0.25 pounds of fruit salad for each serving.

So, the number of servings = 4.46/0.25

= 17.84

≈ 18

Therefore, the greatest number of servings is 18.

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if a, b, and c are boolean variables, then the value of !(a & !(b & !c)) is the same as which of these expressions: !a || (!b || c) !a || (b & !c) (!a || b) & !c

Answers

The value of the expression is the same as the second option: !a || (b & !c).

What are boolean variables?

Boolean variables are variables that can have only one of two possible values: true or false. They are named after the 19th-century mathematician George Boole, who developed a system of logic based on binary values. In computer programming, boolean variables are commonly used to represent conditions or states that can be either true or false, such as whether a certain condition is met or whether a certain task has been completed.

The expression !(a & !(b & !c)) can be simplified using De Morgan's laws and distributive property to obtain:

!(a & !(b & !c)) = !a || (b & !c)

Therefore, the value of the expression is the same as the second option: !a || (b & !c).

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Please read the photo

Answers

The average rate of change is 2.The rate of change of the function is its gradient or slope.

How is the average rate determined?

To get the average rate of change, divide the change in y-values by the change in x-values.Knowing the average rate of change is necessary to detect changes in observable metrics like average speed or average velocity.

What is the average change rate?

It displays the typical rate of change of the function for each unit during that time. It is determined using the slope of the line connecting the ends of the interval in the function graph.

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Can Someone tell me the answer for this one pleas:
Determine which integers in the set S:{−4, 4, 6, 21} make the inequality 3(j − 5) > 3(7 − 2j) true.


S:{6, 21}

S:{4, 21}

S:{−4, 6}

S:{−4, 4}

Answers

The integers 6,21 from the set will make the inequality 3(j-5)>3(7-2j) true.

An inequality response is defined?

An expression in mathematics where the sides are not equal is referred to as being inequal. A comparison of any two values, known as an inequality, demonstrates that one value is less than, larger than, or equal to the value on the opposite side of the equation.

The given inequality is 3(j-5)>3(7-2j). The given set is S:{−4, 4, 6, 21}.

First, we will simplify the given inequality.

3(j-5)>3(7-2j)

⇒j-5>7-2j

⇒3j>12

⇒j>4

It means that numbers greater than 4 will satisfy the given inequality.

Numbers greater than 4 in the given set are 6,21.

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In the country of Enigmia the postage charge for sending a letter is calculated according to the
following formula:
20 cents per 50 square centimetres of envelope area plus 32 cents per 40 grams of weight.
All measurements of area and weight are rounded up to the next multiples of 50 square
centimetres and 40 grams before calculation.
Jennifer has a letter weighing 125 grams in a 20 cm by 12 cm rectangular envelope that she
wants to send.
What will the postage charge be for Jennifer's letter?
I

Answers

Answer:

$2.12

Step-by-step explanation:

First, let's find the area of Jennifer's envelope: 20 cm x 12 cm = 240 square cm.

Since the area needs to be rounded up to the next multiple of 50 square cm, we will round up 240 square cm to 250 square cm.

Next, let's round up the weight of the letter to the next multiple of 40 grams: 125 grams rounded up to 140 grams.

Now that we have the rounded up values for both weight and area, we can use the formula to find the postage charge:

20 cents per 50 square cm x (250 square cm ÷ 50) = 100 cents

32 cents per 40 grams x (140 grams ÷ 40) = 112 cents

So the total postage charge will be 100 cents + 112 cents = 212 cents = $2.12.

Therefore, the postage charge for Jennifer's letter will be $2.12.

Aɳʂɯҽɾҽԃ Ⴆყ ɠσԃKEY ꦿ

33.3% and 0.3 as a fraction

Answers

Answer:

0.3 as a fraction would be 3/10

33.3 would be 333/10

To check it so 3 ÷ 10 and 333 ÷ 10

It will give you the decimal again.

Step-by-step explanation:

You're welcome.

Answer: the answer is 33.3 is 33 3/10  and 0.3 is 3/10

Step-by-step explanation:

you welcome (ノ◕ヮ◕)ノ*:・゚✧

Dequan is training for a marathon. he runs 20 miles every 4 days. write an equation to represent to the total number of miles he runs in x days.

Answers

Step-by-step explanation:

here, 4 days = 20 miles

so, 1 day = 5 miles

hence, x miles = 5x miles

select the most correct statement below that describes the differences between type 1 and type 2 hypervisors?

Answers

A type 1 hypervisor functions as a compact operating system and runs directly on the host's hardware, but a type 2 hypervisor operates as a software layer on operating system, similar to other computer programs.

Which is the safer hypervisor, type 1 or type 2, and why that is more superior?

Native hypervisors are a safer solution. They are not dependent on the underlying OS, unlike hosted hypervisors. If you are attacked, the bare-metal hypervisor will improve your chances (Type 1). Because of this reliance, the type 2 server loses efficiency, performance, and speed. A Type 1 hypervisor operates directly on the hardware of the host computer. These hypervisors interface directly with the host computer's CPU, RAM, and physical storage, making them typically quicker and more effective than Type 2 hypervisors. eliminate the requirement to travel through the OS layer.

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tyler drove 138miles, and brittney drove 116miles. what is the ratio of tyler's miles to brittney's miles? write your answer as a simplified fraction.

Answers

Tyler drove 138miles, and brittney drove 116miles, the ratio of tyler's miles to brittney's miles is 69/58.

The ratio of Tyler's miles to Brittney's miles can be found by dividing Tyler's miles by Brittney's miles.

Ratio of Tyler's miles to Brittney's miles = Tyler's miles / Brittney's miles

Ratio of Tyler's miles to Brittney's miles = 138 miles / 116 miles

Simplifying the ratio by dividing both numbers by their greatest common factor, which is 2, we get:

Hence,

Ratio of Tyler's miles to Brittney's miles = 69/58

This means that for every 69 miles Tyler drove, Brittney drove 58 miles.

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Number 4: Would the product change if 30 and 5 on the left side of the area model were changed to 20, 10, and 5? Explain.

Answers

No, if the figures on the left side of the area model were changed to 20, 10, and 5, the product would retain the same.

Area model multiplication is what?

The area model approach is based on the straightforward equation that may be used to calculate the area of a rectangle: LxW=A. As this anchor chart from Primary Punch illustrates, students typically begin by learning basic arrays for one-digit multiplication. When we multiply each digit of one number by each digit of another number while maintaining the place value of each digit, the resulting numbers are called partial products.

According to the supplied query,

30 and 5 on the left side of the area model are altered to 20,10, and 5 

Thus, after multiplying partial products, we obtain:

First row = 20×100+20×20+8×20

               = 2000+400+160 = 2560

Second row = 10×100+10×20+10×8

                     = 1000+200+80 = 1280

Third row = 5×100+5×20+5×8

                = 500+100+40 = 640

Adding all the rows we get,

2560+1280+640 = 4480

The item we receive when the dimensions are 30 and 5 is the same as this. In each instance, the area product stays the same.

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Find the sine of Z.
7
X
√26
Z
√21
Y

Answers

The sine of Z is 0.834.

How to calculate sine of an angle?

Assume that "α" is the angle in a right triangle XYZ. The sine formula is then given as Sin = Opposite side/ Hypotenuse.

Using the Pythagorean theorem, we can find the length of side Y:

Y² = X² + Z²

Y² = 7² + ( √(21) )²

Y² = 49 + 21

Y² = 70

Y = √(70)

Now we can use the definition of sine:

sin(Z) = opposite/hypotenuse

sin(Z) = X / Y

sin(Z) = 7 / √(70)

sin(Z) = (7 / 10) √(70)

So the sine of Z is (7 / 10) √(70), or approximately 0.834.

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the probability that it will rain tomorrow is 0.3. if it rains tomorrow, the probability that it will rain on the following day is 0.9. if it does not rain tomorrow, the probability that it will rain on the following day is 0.08. round your answers to three decimal places.

Answers

the probability that it will rain on the following day, given that it rained tomorrow, is 0.75. Rounded to three decimal places, the answer is 0.750.

Given the probabilities, you can use Bayes' theorem to calculate the probability that it will rain on the following day, given that it rained tomorrow. Bayes' theorem states that: P(A|B) = P(B|A) * P(A) / P(B)

Where: P(A|B) is the likelihood that event A will occur assuming event B has already happened. P(B|A) is the probability of event B given that event A has occurred. The prior probability of event A is P(A). The prior probability of event B is P(B).

In this case, let A be the event that it rains on the following day and B be the event that it rains tomorrow.

So, P(A|B) = P(B|A) * P(A) / P(B) = 0.9 * 0.3 / P(B)

To calculate P(B), you can use the total probability theorem:

P(B) = P(B|A) * P(A) + P(B|~A) * P(~A) = 0.9 * 0.3 + 0.08 * 0.7 = 0.327

Now, you can substitute the values into the formula for P(A|B) to get:

P(A|B) = 0.9 * 0.3 / 0.327 = 0.75

So, the probability that it will rain on the following day, given that it rained tomorrow, is 0.75. Rounded to three decimal places, the answer is 0.750.

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