141.75 rounded to the nearest hundredth

One effect of glasnost was that A) governments in Eastern Europe introduced reforms.

The correct response is A) governments in Eastern Europe introduced reforms.

Glasnost, meaning "openness" in Russian, was a policy introduced in the Soviet Union by Soviet leader Mikhail Gorbachev in the 1980s. It aimed to promote transparency, political openness, and freedom of expression. While Glasnost primarily affected the Soviet Union, its impact also extended to Eastern European countries under Soviet influence.

As a result of Glasnost, governments in Eastern Europe began introducing reforms. The policy led to a loosening of restrictions on freedom of speech, press, and political dissent. It created an atmosphere of increased openness and public discussion, which facilitated demands for political and social change.

In countries such as Poland, Hungary, Czechoslovakia, and East Germany, the push for reform gained momentum. Popular movements and protests emerged, advocating for greater political rights, democracy, and economic reforms. This eventually led to significant political transformations, including the fall of communist governments in some Eastern European countries.

Therefore, the effect of Glasnost was that governments in Eastern Europe introduced reforms, marking a shift away from the rigid communist system and towards more democratic and open societies.

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we often predict the probability of an event happening in the future based on how easily we can recall a similar type of event from the past. this is known as the  availability bias

When faced with an instant choice requirement, the availability heuristic enables people to make decisions fast. When you are trying to decide, a lot of connected incidents or circumstances could pop into your head right away. You can conclude that some events are more common or likely than others as a result.

You tend to overestimate the possibility and likelihood of similar situations happening in the future and give this information more weight. When you're attempting to decide or pass judgement on the world around you, this can be useful. Would you argue, for instance, that words in the English language that start with the letter t or with the letter k are more numerous?

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Lohi Corp.'s expected capital gains yield over the next year is 0.48%.

To determine the price of lohi corp., we need to calculate the present value of its future dividends. First, we estimate that the company will skip the next three annual dividends. This means that we will start receiving dividends from the fourth year. The first dividend to be paid is $1.00, and subsequent dividends will grow at a constant rate of 6 percent per year. The required rate of return on lohi corp. is 14 percent per year. This is the rate of return that investors expect to earn from investing in the company.

To calculate the price of Lohi Corp., we need to use the dividend discount model (DDM). The DDM formula is:

Price = Dividend / (Required rate of return - Dividend growth rate)

In this case, we know that Lohi Corp. will skip its next three annual dividends and then resume paying a dividend of $1.00. The dividend growth rate is 6% per year, and the required rate of return is 14% per year.

First, let's calculate the present value of the future dividends:

PV = (1 / (1 + Required rate of return))^1 + (1 / (1 + Required rate of return))^2 + (1 / (1 + Required rate of return))^3

PV = (1 / (1 + 0.14))^1 + (1 / (1 + 0.14))^2 + (1 / (1 + 0.14))^3

PV = 0.877 + 0.769 + 0.675

PV = 2.321

Next, let's calculate the price:

Price = (Dividend / (Required rate of return - Dividend growth rate)) + PV

Price = (1 / (0.14 - 0.06)) + 2.321

Price = (1 / 0.08) + 2.321

Price = 12.5

Therefore, the price of Lohi Corp. should be $12.50.

To calculate the expected capital gains yield over the next year, we need to use the formula:

Capital gains yield = (Dividend growth rate) / (Price)

Capital gins yield = 0.06 / 12.5

Capital gains yield = 0.0048

Convert to percentage:

Capital gains yield = 0.0048 * 100

Capital gains yield = 0.48%

Therefore, Lohi Corp.'s expected capital gains yield over the next year is 0.48%.

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Lohi Corp.'s expected capital gains yield over the next year is 0.48%.

To determine the price of lohi corp., we need to calculate the present value of its future dividends. First, we estimate that the company will skip the next three annual dividends. This means that we will start receiving dividends from the fourth year. The first dividend to be paid is $1.00, and subsequent dividends will grow at a constant rate of 6 percent per year. The required rate of return on lohi corp. is 14 percent per year. This is the rate of return that investors expect to earn from investing in the company.

To calculate the price of Lohi Corp., we need to use the dividend discount model (DDM). The DDM formula is:

\(Price = Dividend / (Required rate of return - Dividend growth rate)\)

In this case, we know that Lohi Corp. will skip its next three annual dividends and then resume paying a dividend of $1.00. The dividend growth rate is 6% per year, and the required rate of return is 14% per year.

First, let's calculate the present value of the future dividends:

\(PV = (1 / (1 + Required rate of return))^1 + (1 / (1 + Required rate of return))^2 + (1 / (1 + Required rate of return))^3\)

\(PV = (1 / (1 + 0.14))^1 + (1 / (1 + 0.14))^2 + (1 / (1 + 0.14))^3\)

\(PV = 0.877 + 0.769 + 0.675\)

PV = 2.321

Next, let's calculate the price:

\(Price = (Dividend / (Required rate of return - Dividend growth rate)) + PV\)

\(Price = (1 / (0.14 - 0.06)) + 2.321\)

Price = (1 / 0.08) + 2.321

Price = 12.5

Therefore, the price of Lohi Corp. should be $12.50.

To calculate the expected capital gains yield over the next year, we need to use the formula:

\(Capital gains yield = (Dividend growth rate) / (Price)\)

\(Capital gins yied = 0.06 / 12.5\)

Capital gains yield = 0.0048

Convert to percentage:

Capital gains yield = 0.0048 * 100

Capital gains yield = 0.48%

Therefore, Lohi Corp.'s expected capital gains yield over the next year is 0.48%.

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The operation that Amjed should perform to determine the relative frequency of a person over 30 years old who prefers to ride a mountain bike is given as follows:

2) Divide 25 by 462.

The parameters that are needed to calculate a probability are listed as follows:

Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes, hence it is the same as a relative frequency.

The total number of people is given as follows:

58 + 164 + 215 + 25 = 462.

Out of these people, 25 prefer mountain bike, hence the relative frequency is given as follows:

25/462.

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One acre is equal to 43,560 square feet. To convert acres to square feet, you can multiply the number of acres by 43,560.

For example, if you want to convert 6 acres to square feet, you can multiply 6 by 43,560:

6 acres x 43,560 square feet/acre = 261,360square feet

So, 6 acres is equal to 261,360square feet.

Acres and feet are area and length measurement units, respectively. There is no direct conversion between acres and feet because they measure different things. However, you can convert acres to square feet using a conversion factor.

Please keep in mind that this conversion only applies to area measurements. If you need to convert linear measurements from acres to feet, you'll need more information about the area's shape and dimensions.

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Answer:

5 red marbles.

Step-by-step explanation:

(1/9) * 45 = 45 /9 = 5.

Answer:

a) red

b) red

c) the blue one is y=1/2x+1

Step-by-step explanation:

Answer:

Cylinder B has a greater volume

Step-by-step explanation:

Volume of a cylinder\(=\pi r^2h\)

Cylinder A

h=5m, r=3m

Volume

\(=3.14 *3^2*5\\=141.3m^3\)

Cylinder B

h=3m, r=5m

Volume

\(=3.14 *5^2*3\\=235.5m^3\)

Cylinder B has a greater volume.

On the farm, there are 10 chickens and 8 sheep. The count of 50 legs indicates that there are more chickens than sheep.

Let's assume that chickens have 2 legs and sheep have 4 legs. Since there are a total of 18 animals on the farm, we can represent this information as an equation: C + S = 18, where C represents the number of chickens and S represents the number of sheep.

Now, let's consider the number of legs. Each chicken has 2 legs, so the total number of chicken legs would be 2C. Similarly, each sheep has 4 legs, so the total number of sheep legs would be 4S. According to the problem, the total number of legs is 50, so we can form another equation: 2C + 4S = 50.

We now have a system of equations: C + S = 18 and 2C + 4S = 50. We can solve this system by substitution or elimination. Multiplying the first equation by 2, we get 2C + 2S = 36. Subtracting this equation from the second equation, we have 2C + 4S - (2C + 2S) = 50 - 36, which simplifies to 2S = 14. Dividing both sides by 2, we find that S = 7.

Substituting this value back into the first equation, we have C + 7 = 18, so C = 18 - 7 = 11. Therefore, there are 11 chickens and 7 sheep on the farm.

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In the expression 2x + 5 at x = 3 Brett is wrong as the correct answer is 11.

An expression is written in the form of numbers and variables with arithmetic operations.

According to the given question we have to evaluate 2x + 5 at x = 3 and match our answer with Brett which is 41.

To obtain the value of 2x + 5 at x = 3, we have to substitute x with 3 in the given expression which is,

= 2(3) + 5

= 6 + 5.

= 11.

So, our answer is correct which is 11 and Brett is wrong.

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Answer:

he is 162.56

Step-by-step explanation:

Answer:

162.56 cm

Step-by-step explanation:

Convert 5 ft 4 inches to inches (5 x 12) +4

Then convert to cm

64in              2.54cm

---------    x   ---------------  =   162.56cm

   1                     1 in

Cancel the term inches and multiply 64 by 2.54cm

Answer:

Step-by-step explanation:

V = w h l

V = 7.5 * 7.5 * 6

V = 337.5cubic feet * 0.05

V = 16.875Lbs

V = 17Lbs (Rounded to nearest pound)

In Algebra 2, students typically use a scientific calculator.

A scientific calculator has advanced functions beyond basic arithmetic operations.

Some of the functions commonly used in Algebra 2 include logarithms, exponents, trigonometric functions, and statistical calculations. Therefore, a scientific calculator with these functions would be most useful for Algebra 2.

Examples of calculators that are often used in Algebra 2 include the TI-84 Plus , the TI-Nspire CX, the Casio fx-9750GII, and the HP Prime Graphing Calculator.

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Answer:

parallelogram

Step-by-step explanation:

We find that the approximation converges to 9.74679419, accurate to eight decimal places. So, the square root of 95, approximated using Newton's method, is 9.74679419.

Newton's method is a way to approximate the roots of a function. In this case, we want to approximate the square root of 95 correct to eight decimal places. To use Newton's method, we start with an initial guess and then apply the following formula repeatedly:
x1 = x0 - f(x0) / f'(x0)
where x0 is our initial guess, f(x) is the function we are trying to find the root of (in this case, f(x) = x^2 - 95), and f'(x) is the derivative of f(x) (which is 2x).
Let's start with an initial guess of 10:
x1 = 10 - (10^2 - 95) / (2 * 10) = 5.75
We can continue this process, plugging in our new guess into the formula each time, until we reach a value that is accurate to eight decimal places. After a few iterations, we get:
x8 = 9.74679434
This is our final answer, correct to eight decimal places.
Using Newton's method, we can approximate the square root of a number, such as 95, to eight decimal places. Newton's method is an iterative process that starts with an initial guess and refines the guess using the formula:
x1 = x0 - f(x0)/f'(x0)
For square root approximation, f(x) = x^2 - a, where a is the number we want to find the square root of (95 in this case), and f'(x) = 2x.
Let's start with an initial guess x0 = 9 (since 9^2 = 81 is close to 95). We can then perform the following iterations:
1. x1 = 9 - (9^2 - 95)/(2*9) ≈ 9.72222222
2. x2 = 9.72222222 - (9.72222222^2 - 95)/(2*9.72222222) ≈ 9.74679424
3. x3 = 9.74679424 - (9.74679424^2 - 95)/(2*9.74679424) ≈ 9.74679419
Continuing this process, we find that the approximation converges to 9.74679419, accurate to eight decimal places. So, the square root of 95, approximated using Newton's method, is 9.74679419.

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Answer:

6.5 cm

Step-by-step explanation:

0.5/0.25 = 2

13/2 = 6.5

Answer:

x = 4

Step-by-step explanation:

Given the equation:

\(\displaystyle{4^x - 4^0 - 255=0}\)

We know that \(\displaystyle{a^0 = 1}\) where a ≠ 0. Therefore,

\(\displaystyle{4^x - 1 - 255=0}\\\\\displaystyle{4^x - 256=0}\)

Add both sides by 256, so we have:

\(\displaystyle{4^x=256}\)

Factor 256 out:

256 = 2 x 128 = 2 x 2 x 2⁶ = 2⁸

Therefore, 256 = 2⁸.

\(\displaystyle{4^x=2^8}\)

Convert to the same base:

\(\displaystyle{\left(2^2\right)^x=2^8}\\\\\displaystyle{2^{2x} = 2^8}\)

When two sides have same base, solve the equation through exponents:

\(\displaystyle{2x=8}\)

Divide both sides by 2, so we have:

\(\displaystyle{x=4}\)

No, it is not safe to assume that the sampling distribution of the sample means is about normal given the sample size.

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Answer:

c=15

Step-by-step explanation:

2c+4p=62

2p+18(2)=62

2p=26

p=13

sub p=13 into c+p=18, c+13=18

                                        c=5

Answer:

neither one of them that solves the problem

Answer:

x = 10.5

Step-by-step explanation:

-2x + 21 = 0

-21 -21

-2x = -21

-2x/-2 = -21/-2

x = 10.5

Answer:

m<PSR = 60°

Step-by-step explanation:

Given:

m<OPQ = 50°

m<ORQ = 70°

Required:

m<PSR

Solution:

m<PQR + m<OPQ + m<ORQ = 180° (Sum of triangle)

m<PQR + 50 + 70 = 180 (Substitution)

m<PQR + 120 = 180

m<PQR = 180 - 120

m<PQR = 60°

One of the properties of a kite states that the angles where the unequal sides meets are congruent to each other. Therefore:

m<PSR = m<PQR

m<PSR = 60° (substitution)

Step-by-step explanation:

The answer can be read off the intersection of the graph, which is (1,5), i.e. one unit in x and 5 units in y.

The probability that: either a or b occur

P(AUB)=0.9

This is further explained below.

Generally, In the fields of logic and probability, two occurrences are said to be mutually exclusive or discontinuous if it is impossible for both of them to take place at the same moment. One obvious illustration of this is the possible results of a single flip of a coin, which may produce either heads or tails, but not both at the same time.

Therefore,

P(AUB)=P(A)+P(B)

P(AUB)=0.7+0.2

P(AUB)=0.9

In conclusion,

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CQ

Suppose that a and b are mutually exclusive events for which p(a) = 0.2 and p(b) = 0.7. what is the probability that: either a or b occur7

(i) y = ±√(-x² + 2ax - a² + (b² - r²)) + b

(ii) y = ±√(-25)

The square root of a negative number is not real, there are no real y-coordinates for the given values of a, b, r, and x. There are no points on the circle with those coordinates.

(i) To express y in terms of a, b, x, and r, we can rearrange the equation of the circle as follows:

(x - a)² + (y - b)² = r²

Expanding the square terms, we get:

x² - 2ax + a² + y² - 2by + b² = r²

Rearranging the equation to isolate the y term, we have:

y² - 2by = r² - x² + 2ax - a² - b²

Completing the square by adding (b² - r²) to both sides, we obtain:

y² - 2by + (b² - r²) = -x² + 2ax - a²

Factoring the left side as a perfect square, we have:

(y - b)² = -x² + 2ax - a² + (b² - r²)

Taking the square root of both sides, we get:

y - b = ±√(-x² + 2ax - a² + (b² - r²))

Finally, isolating y, we have:

y = ±√(-x² + 2ax - a² + (b² - r²)) + b

(ii) Given a = 2, b = 3, r = 5, and x = 5, we can substitute these values into the equation we derived in part (i). Plugging in the values, we have:

y = ±√(-(5)² + 2(5)(2) - (2)² + (3)² - (5)²) + 3

Simplifying the equation:

y = ±√(-25 + 20 - 4 + 9 - 25) + 3

y = ±√(-25)

Since the square root of a negative number is not real, there are no real y-coordinates for the given values of a, b, r, and x. Therefore, there are no points on the circle with those coordinates.

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Answer:

3

Step-by-step explanation:

A point on the graph is at (-6, 3). Hope this helps!

The following is an excerpt from A First Training in Probability by Sheldon Ross. (74) = 35 is the right response.

Total moves required are 7, as follows:

Three steps up as well as four steps right.

Remember that perhaps the number of paths equals the number of arranged 7-tuples with 3 U's and 4 R's. As instance, the word URRURRU indicates to travel up, right, up, right, right, up.

There are 7 ways to arrange these letters, 7 ways to arrange the corresponding Us, and 7 ways to arrange the comparable Rs, for a total of 7!3!4! (74).

For each NxN grid, we may write the following as a generalization of our formula: It should be noted that there's a simpler method of writing this: D = N! / (K! * (N-K))! additionally known as the binomial coefficient.

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Step-by-step explanation:

The numbers are 7227 and 4.

Answer:k=-7/6x+6

Step-by-step explanation: \(6kx+18-12kx=25+6k\) We use the distributive property first. Then combine like terms. -6xk+18-6k=25

factor it out (-6x-6)k=7 and divided (-6x-6) on both side.

Then our final answer is k=-7/6x+6