The experiment is to roll a six-sided die with the dots giving the sample space of outcomes: {1, 2, 3, 4, 5, 6}. What is the probability of the event of rolling an even number? 1 ( ) O 6 2 o 2

Answer:

420 = 4.2 x 100 = 4.2 × 102

Step-by-step explanation:

Answer:√78= 8.9 √98= 9.9

Step-by-step explanation:

Answer:

6/7

Step-by-step explanation:

So first, we can simplify 72/98. If we divide both the numerator and denominator by 2, to get a simplified fraction.  So we need to solve 72/2 and 98/2.  72/2 = 36 and 98/2 = 49 So now we have a simplified fraction. So now, we are left with the square root of 36/49, and we apply the radical rule. So now we have simplified radicals that make things easier. The square root of 36 is 6, while the square root of 49 is 7. This is because 36 can be broken down into factors of 6 and 6, so like 6^2 = 36. So square root of 36 is 6. While 49 can be broken down as 7 and 7, so like 7^2 = 49, so square root of 49 is 7. Therefore our answer is 6/7.

I hope this helps, have a blessed day!

The sentence that contains filler is: D. This set also includes heroes like Obi-Wan Kenobi and Anakin Skywalker, both of whom come fully-equipped with their signature lightsabers and Jedi robes. Option D

In this sentence, the phrase "also includes heroes like Obi-Wan Kenobi and Anakin Skywalker" acts as a filler. The main purpose of this phrase is to provide additional information about the set and highlight the inclusion of popular characters from the Star Wars franchise. It doesn't directly contribute to the core information about the set's features or components.

The other sentences (A, B, and C) provide specific details and descriptions about the LEGO set, such as the number of pieces, minifigures, droids, and features like the opening top hatch and cockpit. They directly convey important information about the set itself without any filler or additional unnecessary information.

In marketing or promotional contexts, fillers are often used to enhance the appeal of a product or create excitement by mentioning well-known or desirable elements that may not be directly relevant to the core features. The filler in sentence D serves to attract fans of Obi-Wan Kenobi and Anakin Skywalker by emphasizing their presence in the set and the inclusion of their iconic weapons and attire.

Option D

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Answer:D

Step-by-step explanation:

3900000×18% = 702000

702000÷2500 = 280.8 per share dividend

450×280.8 = 126360

Answer:

Step-by-step explanation:

3x = 90 + 46 - 14

3x = 122

x=\(\frac{122}{3}\)≈40,7

Answer: 40.6 repeated

Step-by-step explanation: combine -46 and 14 which is -32. then add 32 to 90. then divide 3 on both sides. 122/3 is 40.6 repeated

Answer:

0.875, 47/45, 1.444, 29/13

Step-by-step explanation:

0.875 is the least then 47/45 is 1.0444 as a decimal then 1.444 then 29/13 is 2.23 as a decimal hope that helps

Answer:

2.14

Step-by-step explanation:

2.14x24=51.36

Irrational

Explanation

Step 1

simplify

Step 2

the square root of 2 is an irrational number,because there is not number such that

and

The square root of 3 is an irrational number √3 cannot be expressed in the form of p/q

hence

the sum of 2 irrational numbers gives a irrational result,Sum of two irrational numbers is always irrational.

so, the answer is

Irrational

I hope this helps you

Answer:

Step-by-step explanation:

It's literally outlined. Just remove the points D AND A.

Answer: 2

Step-by-step explanation:

8 - 4 = 4

5 - 3 = 2

4/2 = 2

Answer:

Step-by-step explanation:

the rate of change or slope from the given two points is rise over run.

(3, 4) (5, 8)

slope = (y2 - y1) / (x2 - x1)

         = (8 - 4) / (5 - 3)

         = 4 / 2

         = 2

The stem-and-leaf plot of the given data is attached.

A stem-and-leaf plot refers to a device used to present quantitative data in a graphical format to help in visualizing the shape of a distribution. It is a table where each data value is split into a "stem" (the first digit or digits) and a "leaf" (usually the last digit).

From the given options, the statements that describe the percentages distributed, distribution skewness and whether there are any gaps are:

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Answer:

To find the total interest earned by the account after 25 years, we need to use the formula for compound interest:

A = P(1 + r/n)^(nt)

where:

A = the total amount after t years

P = the principal (initial deposit)

r = the annual interest rate (as a decimal)

n = the number of times the interest is compounded per year

t = the number of years

In this case, P = $2,750, r = 0.0325, n = 1 (compounded yearly), and t = 25. Plugging these values into the formula, we get:

A = 2,750(1 + 0.0325/1)^(1*25)

A = 2,750(1.0325)^25

A = 2,750(2.0154)

A = $5,534.85

To find the total interest earned, we need to subtract the initial deposit from the total amount:

Interest = $5,534.85 - ($2,750 x 25)

Interest = $5,534.85 - $68,750

Interest = $-63,215.15

This result indicates that the account holder would have lost money over the 25-year period, as the interest earned was not enough to offset the annual deposits. However, it's worth noting that this calculation assumes no additional deposits or withdrawals were made during the 25 years. If the account holder had made additional deposits or withdrawals, the total interest earned would be different.

If a sophomore was chosen yesterday, the probability that a sophomore will be chosen again today is 3/10.

Given, number of students name put into the hat = 20

total number of freshmen in the class = 12

total number of sophomore in the class = 6

total number of juniors in the class = 2

we are asked to determine the probability that the sophomore will be selected the second day also = ?

Calculating a situation's probability allows us to determine its likelihood. Absolute certainty in forecasting is challenging in many situations. With its help, we are only able to anticipate the likelihood, or chance, that an event would occur.

from the given data,

n(s) = 20

n(A) = 6 ⇒ as the name selected in the first day is put back in the hat.

⇒ P(A) = n(A)/n(s)

P(A) = 6/20

P(A) = 3/10

hence the probability that the another day again a sophomore will be chosen is 3/10.

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Answer:

The dimensions that will maximize the enclosed area of the pen is 250 ft by 250 ft

Step-by-step explanation:

we have the perimeter as 1000

So the sum of the lengths will be

1000/2 = 500

The dimensions that will maximize these pens will be such that they will have equal values

Mathematically, that will be 500/2 = 250 by 250

Answer:

i not know what you need me to help you

Step-by-step explanation:

Step-by-step explanation:

a = k/m    or       ma = k    

using 4 and 9     4* 9 = k = 36

then the equation becomes:

    ma = 36    

  using a = 6

      6 * m = 36     shows m = 6 kg

The value of a is 5, b is 4, c is 0, d is 3, e is 6 and R is 6 after following the long division method.

According to the question,

We have to divide 430 by 8 by following the long division method.

Note that when we follow long division method then the number by which we are dividing (divisor) is to be multiplied in such a way that the result remains less than the number in the dividend.

Now, we will solve it step by step.

In dividing 43 by 8, we have to multiply 8 by 5. Then, we get 40.

So, we have a = 5, b = 4 and c = 0.

Now, after this we have 30 and the number that we get after multiplication is 24. So, 3 has to be multiplied in 8 to get 24.

So, we have d = 3.

Now, when we will subtract 24 from 30, we will get 6.

So, we have e = 6.

And e is also the remainder, R. So, we have R = 6.

Hence, the values of a, b, c, d, e, and R are 5, 4, 0, 3, 6, and 6 respectively.

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Answer: 3/4

Step-by-step explanation:

Both 81 and 108 are divisible by 27

Answer:

Step-byHow do I calculate the mean?

The mean can be calculated only for numeric variables, no matter if they are discrete or continuous. It's obtained by simply dividing the sum of all values in a data set by the number of value

-step explanation:

46+57+66+63+49+52+61+68= 462/8 the total number of observation

the answer 57

Answer:

-50x + 40

Step-by-step explanation:

10(-5x+4)

-50x + 40

a) The total closing costs are $100,000.

b) The actual amount they financed with the mortgage is $90,000.

a) Total Closing Costs:

To find the total closing costs, we need to calculate 10% of the selling price, which represents the down payment. Additionally, we need to consider the closing costs that are financed as part of the mortgage.

Calculate the down payment:

Down Payment = 10% of Selling Price

Down Payment = 10% of $100,000

Down Payment = $10,000

Calculate the financed amount for closing costs:

Financed Closing Costs = Selling Price - Down Payment

Financed Closing Costs = $100,000 - $10,000

Financed Closing Costs = $90,000

Therefore, the total closing costs are $10,000 for the down payment plus $90,000 for the financed closing costs, resulting in a total of $100,000.

b) Actual Amount Financed with the Mortgage:

To find the actual amount financed with the mortgage, we need to subtract the down payment from the selling price.

Actual Amount Financed = Selling Price - Down Payment

Actual Amount Financed = $100,000 - $10,000

Actual Amount Financed = $90,000

Therefore, Kyung Ja and Hideo Hakola financed $90,000 with the mortgage.

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Answer:

B (-5, 3)

Step-by-step explanation:

The line a passes through point ( 2,3 ).

Line b has equation y= -1

Plot the graph for line b, y=-1 , which is a horizontal line as shown in the attached graph

Plot point (2, 3) and draw the graph of line a, y=3 to form a line a parallel to line b

You will notice that point B (-5, 3) is the one the lies on line a.

The answer option A,(2,9) is incorrect  because it does not lie on any of the lines

The answer option C (0, 1) is incorrect because it lies along the y-axis

The answer option D (1, 4) is incorrect because it does not lie on any of the lines.

Answer:

5

Step-by-step explanation:

5555

Answer:

80 degrees

Step-by-step explanation:

The sum of the angles in a triangle is 180 degrees so we can create the equation 70+30+x=180. This solves out to 80 so x=80 degrees.

After answering the given query, we can state that  the parabola equation expands upwards, and the apex is (4, 4.5).

Using the equals sign (=) to indicate equivalence, a math equation links two statements. Algebraic equations prove the equality of two mathematical formulas through a mathematical assertion. The equal symbol, for example, puts a space between the numbers 3x + 5 and 14 in the equation 3x + 5 = 14. You can use a mathematical formula to understand the connection between the two lines that are printed on opposite sides of a letter. Most of the time, the emblem and the particular program match. e.g., 2x - 4 = 2 is an example.

P equals 1/2, meaning that the distance between the apex and the focus is equal to the distance between the directrix and the focus.

As a result, the parabola's equation is:

\((x - 4)^2 = 4(1/2)(y - 1.5)\\(x - 4)^2 = 2(y - 1.5)\)

The left half of the equation is expanded as follows: x2 - 8x + 16 = 2(y - \(1.5) x2 - 8x + 13 = 2y\\y = (1/2)x^2 - 4x + 13/2\)

The problem can also be expressed in vertex form by filling in the cube as follows:

\((x - 4)^2 = 2(y - 1.5)\\(x - 4)^2 = 2(y - 1.5) + 6\\(x - 4)^2 = 2(y - 4.5)\\(x - 4)^2/8 = (y - 4.5)\\\)

Therefore, the parabola expands upwards, and the apex is (4, 4.5).

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Answer:

B. F(x) = 3(x - 2)² - 2

Step-by-step explanation:

→The function F(x) narrowed, meaning the absolute value being multiplied to the function is greater than 1.

→The function F(x) flipped over the x-axis, this means that the number being multiplied has to be a negative.

→The function F(x) shifted to the left 2 units, this means there needs to be a 2 being added.

→The function F(x) shifted downwards 2 units, meaning there needs to be a 2 being subtracted from the whole function.

This gives us the correct answer of "B. F(x) = 3(x - 2)² - 2."

The surface area of the composite figure is 2005 in².

To find the surface area of the composite figure, we need to calculate the sum of the areas of its individual components.

Let's break down the figure into its different parts and calculate the surface area step by step:

Rectangular Prism: The rectangular prism has dimensions of 20 in, 11 in, and 5 in. The surface area of a rectangular prism can be found by adding the areas of its six faces. The total surface area of the rectangular prism is given by:

Surface Area of Rectangular Prism = 2lw + 2lh + 2wh

Plugging in the values, we have:

Surface Area of Rectangular Prism = 2(20)(11) + 2(20)(5) + 2(11)(5) = 440 + 200 + 110 = 750 in²

Rectangular Prism: Another rectangular prism has dimensions of 19 in, 12 in, and 12 in. Following the same process as above, we can calculate the surface area of this rectangular prism:

Surface Area of Rectangular Prism = 2lw + 2lh + 2wh

Plugging in the values, we have:

Surface Area of Rectangular Prism = 2(19)(12) + 2(19)(12) + 2(12)(12) = 456 + 456 + 288 = 1200 in²

Base: The base is a rectangle with dimensions 11 in and 5 in. The surface area of a rectangle is given by the formula:

Surface Area of Rectangle = lw

Plugging in the values, we have:

Surface Area of Rectangle = (11)(5) = 55 in²

Finally, to find the total surface area of the composite figure, we add the surface areas of the individual components:

Total Surface Area = Surface Area of Rectangular Prism + Surface Area of Rectangular Prism + Surface Area of Rectangle

Total Surface Area = 750 in² + 1200 in² + 55 in² = 2005 in²

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