Here is a probability scale.

Which letter represents certain?

Answer:

the length of the diagonal is 10cm

Step-by-step explanation:

C²=8²+6²

C²= 64+36

C²=100

√C²=√100

C=10cm

Answer:

GGB

GGG

GBB

GBG

BGG

BGB

BBG

BBB

Any of these has a probability of 1:8, or 1/8, or 0.125, or 12.5%

Step-by-step explanation:

GGB

GGG

GBB

GBG

BGG

BGB

BBG

BBB

Any of these has a probability of 1:8, or 1/8, or 0.125, or 12.5%

Hey there! I'm happy to help!

If you raise a fraction to an exponent, you apply that exponent to the numerator and the denominator. This would give us \(\frac{y^4}{x^4}\).

Have a wonderful day! :D

Since the exponent is outside the fraction, you apply the exponent to both the numerator and denominator.

(y/x)^4 = y^4/x^4

Best of Luck!

Answer:

15

Step-by-step explanation:

\(\frac{5}{8}\) of 24

= \(\frac{5}{8}\) × 24 [ \(\frac{5}{8}\) = 5 ÷ 8 = 0.625 ]

= 0.625 × 24

= 15

Frank cannot recover the reward because he was unaware of the reward being offered by Emma.

In order to claim the reward, one typically needs to have knowledge of the reward prior to finding and returning the lost item or fulfilling the specified condition. Since Frank was unaware of the reward, he would not have had the opportunity to intentionally seek the dog with the expectation of receiving the reward. As a result, Emma is not obligated to provide the reward to Frank in this situation.

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Answer:

3.

Step-by-step explanation:

Factor: 5

Composite Number: 2

Prime Number: 6

Operation: 8

Integers: 3

Negative Number: 4

Positive Number: 7

Expression: 1

An appropriate hypothesis test to determine whether scores of depression are different pre- and post-treatment would be the paired t-test.

The paired t-test is suitable in this scenario because it compares the mean scores of depression before and after the treatment within the same group of participants.

This test takes into account the paired nature of the data, where each participant is measured twice (pre- and post-treatment).

By conducting a paired t-test, the researchers can assess whether there is a statistically significant difference in depression scores before and after the treatment. This will help determine the effectiveness of the new treatment for depression.

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we use the distributive property of multiplication, which says that a(b + c) = ab + ac. (x + 6) (x - 4) = x^2 + 2x - 24.

(2x + 5) (x - 3) = 2x^2 - x - 15

(3x + 2) (2x + 5) = 6x^2 + 19x + 10

(2x - 1) (x - 5) = 2x^2 - 11x + 5

To multiply polynomials, we use the distributive property of multiplication, which says that a(b + c) = ab + ac. We apply this property to each term in one polynomial with each term in the other polynomial and add the resulting products.

For example, to multiply (x + 6) (x - 4), we can apply the distributive property as follows:

(x + 6) (x - 4) = x(x) - x(4) + 6(x) - 6(4)

= x^2 - 4x + 6x - 24

= x^2 + 2x - 24

We can use the same method to multiply the other polynomials. It is important to remember to multiply each term in one polynomial with each term in the other polynomial, and to combine like terms after multiplying.

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Answer:

220

Step-by-step explanation:

40 x 8 = 320

\(10^{2}\) = 100

320- 100 = 220

Hope that helps and have a great day!

Answer:

220

Step-by-step explanation:

Rewritten in numerical terms, the problem is:

40 * 8 - 10^2

Remember PEMDAS:

10^2 = 100

40*8 = 320

320 - 100 = 220

220

the answer is 3x²

Step-by-step explanation:

we know that k = 3x

when we look at the actual equasion we can se that y = kx, meaning we have to multiply x by 3x which would give us 3x²

Answer:  the answer is 3x^2 three x to the power of 2

The value of N 1 and N 2 would be different in this case.

The labor supply can be written as:

l(p t1)=N 1 5+0.2p t1(1 )For island 2,

the labor supply can be written as:

l(p t2)=N 2 5+0.2p t2(2)

The total supply of labor is given as:

l(p t)=N 1 l(p t1)+N 2 l(p t2)

Substitute (1) and (2) in the above equation;

l(p t)=N 1 (5+0.2p t1)+N 2 (5+0.2p t2)l(p t)=5(N 1 +N 2 )+0.2(N 1 p t1+N 2 p t2) ...... (3)

Money demand on Island 1 is given as:

M d1 = p t1 150N 1 ...... (4)

Money demand on Island 2 is given as:

M d2 = p t2 150N 2 ...... (5)

Total money demand is given as:

M d = M d1 + M d2

Substitute (4) and (5) in the above equation;

M d = p t1 150N 1 + p t2 150N 2M d = 150(p t1 N 1 + p t2 N 2 ) ...... (6)

As per the question, the money growth rate is a random variable. Probability of zt = 1 is 5/4 and probability of zt = 2 is 5/1.

The expectation of zt is given as:

E(z t )= (5/4) × 1 + (5/1) × 2= 12.25

Since half of the old individuals in any period live on each of the islands, the money supply is given as:

M s = (E(z t )) × (M d / 2)M s = (12.25) × (150 (N 1 +N 2 )/2)M s = 918.75 (N 1 +N 2 )

Equating money supply and demand, we get:

918.75 (N 1 +N 2 )= 150 (p t1 N 1 + p t2 N 2 ) ...... (7)

Equation (3) and (7) can be written as:

5(N 1 +N 2 )+0.2(N 1 p t1+N 2 p t2) = 0.1625(p t1 N 1 + p t2 N 2 )We know that N 1 + N 2 =N

Let's substitute this in the above equation;

5N+0.2(N 1 p t1+N 2 p t2) = 0.1625(p t1 N 1 + p t2 N 2 )5N+0.2p t1 (N/2) + 0.2p t2 (N/2) = 0.1625p t1 (N/2) + 0.1625p t2 (N/2)4.375N = 0.0375p t1 N + 0.4625p t2 N

Since the total population across the two islands is constant over time,

i.e., N = N 1 + N 2 So,

the above equation can be written as:

4.375(N 1 +N 2 ) = 0.0375p t1 (N 1 + N 2 ) + 0.4625p t2 (N 1 + N 2 )4.375(N) = 0.0375p t1 N + 0.4625p t2 N4.375N = 0.0375p t1 N + 0.4625p t2 N4.375 = 0.0375p t1 + 0.4625p t24.375 = 0.5p t12.1875 = p t1

Equation (7) can be written as:

918.75 (N 1 +N 2 )= 150 (p t1 N 1 + p t2 N 2 )918.75N = 150 (p t1 (N - N 2 ) + p t2 N 2 )918.75N = 150p t1 N - 150p t1 N 2 + 150p t2 N 2 Divide both sides by N, we get:918.75 = 150p t1 - 150p t1 (N 2 /N) + 150p t2 (N 2 /N)

Since the population on both the islands is equal, i.e., N 1 = N 2 = N/2

Therefore,918.75 = 150p t1 - 75p t1 + 75p t2842.25 = 75p t1 + 75p t242.25 = 3p t1 + 3p t2 p t1 + p t2 = 280.75

Using the above equation and (7), we can solve for p t2 ;

918.75 (N 1 +N 2 )= 150 (p t1 N 1 + p t2 N 2 )918.75 (N) = 150p t1 N 1 + 150p t2 N 250.3 = p t1 N 1 + p t2 N 2

Substituting p t1 + p t2 = 280.75 in the above equation, we get;

50.3 = p t1 N 1 + (280.75 - p t1 )N 2

Solving the above equation, we get;

p t1 = 187.525andp t2 = 93.225

Therefore, the equilibrium price level on Island 1 is 187.525 and on Island 2 is 93.225.

(b) The price level indicates to the worker whether the money supply is increased or decreased. If the price level increases, it is an indication that the money supply has increased. If the price level decreases, it is an indication that the money supply has decreased.

If the distribution of young individuals is known, i.e., the young are distributed unequally across the islands and in any period, each island has an equal chance of having the large population of young, then the equilibrium price level on Island 1 and Island 2 can be solved using the same method as explained in part (a).

However, the value of N 1 and N 2 would be different in this case.

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Answer:

well how many sides are there in one? then multiply it by the number of the one side to how many sides

Step-by-step explanation:

Answer:

30 inches

Step-by-step explanation:

Equilateral means all the sides are the same

The best approximation of the cost for an additional square foot of living space for homes in this neighborhood is a decrease of $0.125 thousand, or $125, for every one additional square foot of living space.

Since we are looking for an approximation of the cost for an additional square foot of living space, we need to find the slope of the line of best fit for the given scatterplot. The slope of the line represents the change in the cost of the house for every one unit increase in the living space, which in this case is one square foot.

From the scatterplot, we can see that as the living space increases, the cost of the house also increases, indicating a positive linear relationship. We can also see that there is a line of best fit that closely approximates this relationship.

To find the slope of the line of best fit, we can choose any two points on the line and calculate the change in the y-coordinate (the cost) divided by the change in the x-coordinate (the living space). One way to do this is to choose the two points where the line intersects the y-axis and the x-axis. From the scatterplot, we can estimate these points to be approximately (0, 200) and (1600, 0), respectively.

Using these two points, the slope of the line of best fit is:

slope = (change in y) / (change in x)

slope = (200 - 0) / (0 - 1600)

slope = -0.125

Therefore, the best approximation of the cost for an additional square foot of living space for homes in this neighborhood is a decrease of $0.125 thousand, or $125, for every one additional square foot of living space.

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To find the approximate number of years until the species is extinct, we need to determine the value of t when the population, p(t), reaches zero.

The given equation for the population of the species is p(t) = -t^4 + 72t^2 + 225. To find the years until the species is extinct, we set p(t) equal to zero and solve for t:

0 = -t^4 + 72t^2 + 225

Unfortunately, this equation cannot be easily solved algebraically. However, we can approximate the solution using numerical methods or graphing software. By plotting the graph of p(t) = -t^4 + 72t^2 + 225, we can visually determine the value(s) of t where the population becomes zero.

To find the approximate number of years until the species is extinct, we need to solve the equation -t^4 + 72t^2 + 225 = 0. This requires either using numerical methods or graphing software to determine the value(s) of t when the population reaches zero.

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The probability that the assembled machine will not have any defect is (1 - P(A)) * (1 - P(B)), assuming independence.



To find the probability that the assembled machine will not have any defect, we need to calculate the probability that both parts do not have any defects.

Let's assume that the probability of defect in Part A is P(A), and the probability of defect in Part B is P(B).

The probability that Part A does not have any defect is given by (1 - P(A)), and the probability that Part B does not have any defect is (1 - P(B)).

Since the two parts are independent, the probability that both Part A and Part B do not have any defects is the product of their individual probabilities:

P(No Defect) = (1 - P(A)) * (1 - P(B))

Therefore, the probability that the assembled machine will not have any defect is (1 - P(A)) * (1 - P(B)).

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Answer: i think its A

To simplify a complex fraction expression, first identify the numerator and denominator of each fraction.

A complex fraction is a fraction that contains one or more fractions in the numerator, denominator, or both. This type of fraction requires additional steps to simplify and can often be reduced to a simpler fraction or a whole number. Complex fractions are also known as compound fractions or nested fractions.

Then, factor each fraction into its simplest form by dividing each numerator and denominator by their greatest common factor. Finally, combine the fractions by multiplying the numerators and denominators. This will result in a simplified expression.

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The mathematical model of an abstract syntax tree (AST) for a programming language's block (BL) statement typically involves representing the syntax of the statement using a tree structure.

This tree structure consists of nodes that correspond to different components of the statement, such as keywords, variables, operators, and expressions. The AST provides a way to parse and interpret the syntax of the statement, allowing for efficient compilation and execution of the code.

The model can be represented using various algorithms and data structures, such as recursive descent parsing or top-down parsing. Ultimately, the AST serves as a tool for developers to analyze, optimize, and debug their code, and is an essential component of many modern programming languages.

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Answer:its D

Step-by-step explanation:

took the test

1. Consider a series that changes deterministically: AYt = a. Given initial value of Yo, write the general solution of the difference equation. A difference equation of the form Ay(t) = a has a general solution of y(t) = A + at, where A is a constant of integration. Therefore, the general solution for the difference equation in question is y(t) = Yo + at.

2. In a trend stationary process, the trend is deterministic. Therefore, it is stationary after removing the trend. In a stochastic trend, the trend is stochastic, and the process is non-stationary even after the trend is removed. Since the process above has a deterministic trend, it is a trend stationary process.

3. The first difference of the series should be taken to remove the trend from the series. The first difference is calculated as y(t) - y(t-1).

4. Consider now a series with the following motion: AY₁ = a + et. Given the initial value of Yo, write the general solution of the difference equation. The difference equation Ay(t) = a + et has a general solution of y(t) = (a/e) + A + Bt + ut, where u(t) is a stationary noise term with zero mean and constant variance. Therefore, the general solution to the difference equation in question is y(t) = a/e + Yo + Bt + ut.

5. Explain whether the process above is trend stationary or stochastic trend. Since the process above has a stochastic trend, it is a non-stationary process.

6. The first difference of the series should be taken to remove the trend from the series. The first difference is calculated as y(t) - y(t-1).

7. The hypothesis for a unit root test is that a series has a unit root, meaning it is non-stationary. The Dickey-Fuller test can be used to test for unit roots by regressing the first difference of the series on the lagged level of the series and testing whether the coefficient on the lagged level is significantly different from zero

8. The Augmented Dickey-Fuller test can be used to test for unit roots by regressing the first difference of the series on the lagged level of the series and the lagged first difference of the series and testing whether the coefficient on the lagged level is significantly different from zero.

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\(P=2L+2W\)

\(300=2L+2 \cdot 57\)

\(300=2L+114\)

\(2L=300 - 114\)

\(2L=186\)

\(L=\frac{186}{2} = 93\)

proof:

\(300=2\cdot 57+2 \cdot 93\)

\(300 = 114 + 186\)

\(300 = 300\)

I Hope I helped you!

Step-by-step explanation:

the perimeter of a rectangle : it is the distance when going around the whole rectangle once.

so, it is

2×length + 2×width

300 = 2×length + 2×57 = 2×length + 114

2×length = 300 - 114 = 186

length = 186/2 = 93 yards

Hii!

__________________________________________________________

\(\rightsquigarrow\circ\boldsymbol{Answer}\circ\leftharpoonup\)

x>-6

\(\rightsquigarrow\circ\boldsymbol{Explanation}\circ\leftharpoonup\)

Let's find the value of x in this inequality!

Remember, to find the value of a variable, we need to get that variable all by itself on one side of the equation.

Here all we need to do is divide both sides by -6.

\(\twoheadrightarrow\sf -6x\div(-6) < 36\div(-6)\)

\(\bullet\) Simplify

\(\twoheadrightarrow\sf x > -6\)

\(\bullet\) Note that the inequaiity sign changed. This happens everytime we divide, or multiply, both sides by a negative variable.

--

\(\therefore, the\;answer\;is:\\\\\twoheadrightarrow\sf x > -6\)

\(\bullet\) Great job! We solved the inequality.

--

Hope that this helped! Best wishes.

\(\textsl{Reach far. Aim high. Dream big.}\\\boldsymbol{-Greetings!-}\)

--

Answer:

2+ 13

Step-by-step explanation:

2n - 3 + 7 + 9

2n + 13

Answer:

360

Step-by-step explanation: a rotation is 80 times 4

Answer:

360

Step-by-step explanation:

Because that's the degree of the angle when you spin

The situation is which the total distance traveled is of zero is given by:

b. The ball first bounces up to a height of 2 meters, and then falls 2 meters towards the ground.

The total distance can be calculated by the subtraction of the final position by the initial position.

Hence, the total distance traveled will be of zero when the object ends at the same place it started, and the only option in which this happens is given by:

b. The ball first bounces up to a height of 2 meters, and then falls 2 meters towards the ground.

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Answer:

(x + 7)(x - 4) = x2 - 4x + 7x - 28 = x2 + 3x - 28