Find the least common multiple of 12 and 18?

The term that suggests that the threat of loss has a greater impact on a decision than the possibility of an equivalent gain is prospect theory.

Prospect theory is a theory that describes how individuals make decisions under uncertainty. The theory suggests that people think about gains and losses differently and that the value they assign to a particular change in their situation depends on their current situation. The theory is based on the observation that people often violate the principle of expected utility. They make decisions that do not maximize their expected utility. The theory suggests that people evaluate outcomes based on changes from a reference point, rather than in absolute terms. This means that people are more sensitive to changes in their situation than to the situation itself.

For example, a loss of $100 is more painful than the pleasure of gaining $100, and the pleasure of gaining $100 is less than the pain of losing $100.

In summary, Prospect theory suggests that the threat of a loss has a greater impact on a decision than the possibility of an equivalent gain.

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Answer:

\( y = 4 + 3 \sqrt{7} i\)

Step-by-step explanation:

\((y-4)^2+63=0 \\ \\ (y-4)^2 = - 63 \\ \\ (y-4)= \sqrt{ - 63} \\ \\ y - 4 = 3 \sqrt{7} i \\ \\ y = 4 + 3 \sqrt{7} i\)

If a group consists of 10 kids and 2 adults, the number of ways are there to form the line are 2 * 10!. So, correct option is C.

To form a line with an adult at the front and an adult at the back, we need to consider the positions of the 10 kids within the line. The two adults are fixed at the front and back, so we have 10 positions available for the kids.

To calculate the number of ways to arrange the kids in these positions, we can use the concept of permutations. Since each position can be occupied by a different kid, we have 10 options for the first position, 9 options for the second position, 8 options for the third position, and so on, until the last position, where only 1 kid remains.

Therefore, the number of ways to form the line is:

10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 = 10!

However, the problem also mentions that there are 2 adults, so we need to consider the arrangements of the adults as well. Since there are only two adults, there are 2 ways to arrange them in the line (adult at the front and adult at the back or vice versa).

Therefore, the total number of ways to form the line is:

2 x 10! = 2 * 10!

Hence, the correct option is b. 2 * 10!, which accounts for both the arrangements of the kids and the adults.

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Answer:

Parallel lines

Step-by-step explanation:

Parallel lines on a plane never intersect because they have the same slope yet different y-intercepts

Answer:

parallel lines

Step-by-step explanation:

SO EASY

Answer:

90000 km

Step-by-step explanation:

1 hour = 3600 sec

distance = speed x time

              = 25 km/s x 3600 s

               = 90000 km

standard form = 9 x 10⁴

Answer:

\( \large{ \tt{❃ \: S \: O \: L \: U \: T \: I \: O \: N \:❃ }}\)

\( \large{ \tt{❊ \: S \: T \: E \: P \: S \: ❊}}\)

\( \huge{ \tt{ \: \frac{4 \sqrt{6} }{5 \sqrt{3} } = \frac{4 \: \cancel{ \sqrt{6}} \: ^{\sqrt{2}} }{5 \: \cancel{\sqrt{3} }} }} = \: \boxed{\frac{4 \sqrt{2} }{5} }\)

\( \large{ \boxed{ \boxed{ \tt{⤻ \: OUR \: FINAL \: ANSWER : \boxed{ \tt{ \frac{4 \sqrt{2} }{5}}}}}}} \)

- Hope this helps! Let me know if you have any questions regarding my answer and don't hesitate to reach out to me if you need any other help! :)

Step-by-step explanation:

2x +34 =64

2x=30

X=30/2

X=15

Answer:

\( \boxed{x = 15} \)

Step-by-step explanation:

\( = > 2x + 34 = 64 \\ \\ = > 2x = 64 - 34 \\ \\ = > 2x = 30 \\ \\ = > x = \frac{30}{2} \\ \\ = > x = 15\)

The relative frequency are

i) Pilot error = 15.9 percent

ii)   Human Error =3.8 percent

iii)   Weather = 19.3 percent

iv)  Mechanical problem = 42 percent

v)  Sabotage = 19.2 percent

The formula for the relative frequency is = f/n

                             Where, f = the number of times the data occurred in an observation

                                           n = total number of observations.

If we have to convert it into percentage form we will multiply it by 100

Thus we have been given that

       Crashes due to pilot error = 260

       Crashes due to other human error = 62

       Crashes due to weather = 315

      Crashes due to mechanical problem = 682

       Crashes due to sabotage = 313

Total number of errors occurred = 260+62+315+682+313

                                                           = 1632

Hence, the relative frequency are

 i) Pilot error = 260/1632 * 100 = 15.9 percent

 ii) Human Error = 62/1632 * 100 =3.8 percent

iii)  Weather = 315/1632 * 100 = 19.3 percent

iv) Mechanical problem = 686/1632 * 100 = 42 percent

v) Sabotage = 313/1632 * 100 = 19.2 percent

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Given initial value problem is: `y(t) = -2 e^(4t) + 3 e^(3t)`Hence, the required solution is `y(t) = -2 e^(4t) + 3 e^(3t)`.

To solve the given initial value problem, we need to find the solution of the differential equation `y′′−7y′+12y=0` with the initial conditions `y(0)=1` and `y′(0)=25`. Here is the solution: Solution: Characteristic equation of the given differential equation is: `r^2 - 7r + 12 = 0`Factor the quadratic equation as: `(r - 4)(r - 3) = 0`So, `r_1 = 4` and `r_2 = 3`.Therefore, the general solution of the differential equation is: `y(t) = c_1 e^(4t) + c_2 e^(3t)`Where `c_1` and `c_2` are constants that can be found using the initial conditions. For `t = 0`, we have `y(0) = c_1 + c_2 = 1`And, `y′(0) = 4c_1 + 3c_2 = 25`Solving the above two equations simultaneously gives `c_1 = -2` and `c_2 = 3`.Therefore, given initial value problem is: `y(t) = -2 e^(4t) + 3 e^(3t)`Hence, the required solution is `y(t) = -2 e^(4t) + 3 e^(3t)`.

We found the solution of the given initial value problem. The answer is `y(t) = -2 e^(4t) + 3 e^(3t)`.

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Answer: 5.25 miles

Step-by-step explanation:

The domain of a function f(x) is the set of all values for which the function is defined, and the range of the function is the set of all values that f takes.

The domain of a function is defined as the set of inputs accepted by the function. A value for x is said to be in the domain of a function f if it successfully allows the production of a single value y using another value for x.

Consider the function y = f(x), which has the independent variable x and the dependent variable y.

A value for x is said to be in the domain of a function f if it successfully allows the production of a single value y using another value for x.

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Answer:

6 pepper fruits

Step-by-step explanation:

Given the following :

Fraction of pepper in terms of tomato = 2/3

Number of fruits on pepper plant = 9

Therefore number of pepper fruits on pepper plant:

2/3 * number of tomato fruits

2/3 * 9

(2 * 3) = 6

6 pepper fruits.

Answer:

4

Step-by-step explanation:

your slope-intercept will be 4

Answer:

y = 4x + 5

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 4x - 3 ← is in slope- intercept form

with slope m = 4

Parallel lines have equal slopes

Thus parallel line has m = 4 and c = 5

y = 4x + 5 ← equation of parallel line

The way that undercoverage might have led to bias in this survey is that; non-random sampling was used instead of random sampking.

Undercoverage bias is defined as a type of sampling bias that is said to occur when a piece of particular information from your sample responses is missing or uncovered in the results. This usually happens when a large significant entity is unselected or even has zero chance of getting in your representing sample.

Now, when we are talking about a survey like this which deals with prediction of the outcome of the presidential election, then it means that the non - probability sampling should never have been the answer. What should have been done is to apply] probability sampling.

By probability sampling, we mean using a random sampling rather than subjective or non - random sampling like was used which could create undercoverage bias.

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Answer:

0.45

Step-by-step explanation:

You divided 2.25 by 5

Answer:

40/9

$189

Step-by-step explanation:

1 2/3 / 3/8 =

4 4/9 = 40/9

6.85 x 315 - 6.25 x 315 = $189

Hope that helps!

Answer:

ik gonna let u solve this question but I explained what u need to do to solve it

Using Scientific notation, the expression (6.1 * 10⁴) + (5.2 * 10⁴) can be written as;  11.3 * 10⁴

Scientific notation is a way of writing very large or very small numbers. A number is written in scientific notation when a number between 1 and 10 is multiplied by a power of 10. For example, 750,000,000 can be written in scientific notation as 7.5 × 10⁸.

Now, we want to use scientific notation to simplify;

(6.1 * 10⁴) + (5.2 * 10⁴)

Using distributive property of equality, we can say that the expression can be broken down as;

10⁴(6.1 + 5.2)

= 11.3 * 10⁴

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Answer:

The sides of a right triangle all right triangles fall under the identity a^2 + b^2 = c^2. Thus, if you draw the picture, you know that both a and b will be 32 feet. You plug 32 in, and get 32^2 + 32^2 =2048. The square root of 2048=45.25 ft. Thus, the diagonal will be 45.25 feet.

Step-by-step explanation:

this is the correct formula to figure out equal sided right triangle

Answer:

it is A

Step-by-step explanation:

The inverse function {f⁻¹(x)} for the function f(x) is -

f⁻¹(x) = (3x + 2)/(x - 1)

An algebraic expression is a combination of terms both constants and variables. For example -

2x + 3y + z

3x + y

Given is the function f(x) as -

f(x) = (x + 2)/(x - 3)

We can write the function f(x) as -

f(x) = (x + 2)/(x - 3)

We can find the inverse function {f⁻¹(x)} as follows -

y = (x + 2)/(x - 3)

x = (y + 2)/(y - 3)

x(y - 3) = y + 2

xy - 3x = y + 2

xy - y = 3x + 2

y(x - 1) = 3x + 2

y = (3x + 2)/(x - 1)

f⁻¹(x) = (3x + 2)/(x - 1)

Therefore, the inverse function {f⁻¹(x)} for the function f(x) is -

f⁻¹(x) = (3x + 2)/(x - 1)

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{Question in english -

perform the inverse of the following function f(x)=x+2/x-3}

Answer:

8.009 , 8.09 , 8.7 , 8.7082

Step-by-step explanation:

Convert all numbers to decimals.

8.009 = 8.009

8.7 = 8.7

8.09 = 8.09

8.7082 = 8.7082

Arrange the numbers in ascending order.

8.009 , 8.09 , 8.7 , 8.7082

Answer:

9x + 6

Step-by-step explanation:

5x + ( x + 6 ) + 3x

= 5x + 3x + x + 6

= 9x + 6

Answer:

Please sketch the figure to confirm my answer.

sin(24°) = 30/x

x sin(24°) = 30

x = 30/sin(24°) = 73.76 inches

Answer:

terms: 2n, -n, -4, 7n

like terms: 2n, -n, 7n

Step-by-step explanation:

a) To ensure a 95% confidence interval with a maximum width of 0.10, the required sample size is 97.

b) A sample size of 95 would be required to achieve a 95% confidence interval with a maximum width of 0.10.

In order to determine the necessary sample size for a 95% confidence interval with a width of at most 0.1, the state legislator needs a sample size of at least 385. If the legislator has strong reason to believe that at least 23 of the electorate know of her position, a sample size of at least 97 would be recommended.

Therefore, to ensure a 95% confidence interval with a maximum width of 0.10, the required sample size is 97 and a sample size of 95 would be needed for 95% confidence interval with a maximum width of 0.10.

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Writing linear equations given two points can be a useful skill when graphing linear equations.

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Answer:

This should be parallel.

Step-by-step explanation:

Two lines are said to be parallel only if their slope matches. They are said to be perpendicular only if the slopes are negative reciprocals.

Here, you should put both equations in slope intercept form which is y=mx+b. The letter "M" represents the slope of both equations.

2y-6=3x+4 turns into 2y=3x+10 after adding 6 and into y=3/2x+5 after dividing the equation by 2. The slope for this equation is 3/2.

8y=12x+8 must be divided by 8 to be in slope intercept form. This equation becomes y=3/2x+1. Here the slope is also 3/2.

The slopes for each equation match making these lines parallel.