The rainfall amount last year was 6 inches below normal. The rainfall this year was 13 inches more than last year. What is the difference between the rainfall amount this year and the normal amount of rainfall? (Hint: Draw a number line to help you visualize the scenario)

The number obtained 9/4 is the reciprocal of the number 4/9.

For the given number.

Divide 1 by 4/9

This can be written as;

= 1/(4/9)

= 9/4

Then, the number obtained 9/4 is the reciprocal of the number 4/9.

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Answer:

The answer is a

Step-by-step explanation:

Answer:

The move is that both sides were divided by 5.

Step-by-step explanation:

On the left side, dividing by five would result in x-3.

On the right side, dividing by five would result in 1.

Answer:

scale factor of 2

Step-by-step explanation:

multiplication go brrrr

The closest percent markup cost to the bracelets Anna sells is 181%.

To determine the percent markup cost for the bracelets Anna sells, we need to calculate the difference between the selling price and the cost price, and then express it as a percentage of the cost price.

The selling price of the bracelets is $45, and the cost price is $16.

Markup = Selling Price - Cost Price

= $45 - $16

= $29

Now, to calculate the percent markup cost, we divide the markup by the cost price and multiply by 100:

Percent Markup Cost = (Markup / Cost Price) \(\times\) 100

= ($29 / $16) \(\times\) 100

= 181.25

Rounded to the nearest whole number, the percent markup cost is approximately 181%.

Therefore, the closest percent markup cost to the bracelets Anna sells is 181%.

This means that Anna is charging customers approximately 181% more than what it cost her to make the bracelets.

The markup cost represents the additional amount she adds to cover expenses, overhead, and to make a profit.

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The answers that  best explains how we check to make sure that this condition is met is: c. Make sure there is similar spread around the sample mean of y.

The equal spread condition states that the residuals (differences between the actual and predicted values of y) should have roughly equal variance at each value of x.

To check if this condition is met, we examine the residual plot, which is a scatterplot of the residuals versus the independent variable x. If the spread of residuals around the mean is roughly equal for all x, then the equal spread condition is satisfied.

Therefore the correct option is C.

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Answer:

, we must evaluate the function g[f(0)], given f(x) = 7x-8 and g(x) = 4 - x2. First, we must find f(0) such that

f(0) = 7(0) - 8 = -8. Since f(0) = -8, then we have g(-8) such that

g(-8) = 4 - (-8)2 = 4 - 64 = -64

I hope this helped!

Answer:

B. -3,0

hope this helps

Answer:

100mi

Step-by-step explanation:

Answer:

Answer on a graph

Type of Attention Impact on Encoding Process

1. Sustained attention Facilitates thorough encoding of information.

2. Selective attention Enhances encoding of attended stimuli while filtering out irrelevant information.

3. Divided attention Impairs encoding by dividing attentional resources among multiple tasks.

4. Exogenous attention Captures attention involuntarily, potentially interrupting the encoding process.

5. Endogenous attention Voluntarily directed attention that can prioritize specific information for encoding.

1. Sustained attention: Sustained attention refers to the ability to maintain focus over an extended period. It has a positive impact on the encoding process as it allows for thorough and comprehensive encoding of information.

2. Selective attention: Selective attention involves focusing on specific stimuli while filtering out irrelevant information. It enhances the encoding process by directing attention to the relevant stimuli, promoting their effective encoding.

3. Divided attention: Divided attention refers to the attempt to allocate attention to multiple tasks simultaneously. Dividing attention among multiple tasks impairs the encoding process as attentional resources become fragmented, leading to less effective encoding of information.

4. Exogenous attention: Exogenous attention is captured involuntarily by external stimuli, potentially interrupting the encoding process. It can divert attention away from the intended encoding task, resulting in a negative impact on encoding.

5. Endogenous attention: Endogenous attention is voluntarily directed attention that allows individuals to prioritize specific information for encoding. It enhances the encoding process by selectively focusing on relevant stimuli and allocating cognitive resources accordingly.

Different types of attention have varying impacts on the encoding process. Sustained attention and selective attention positively influence encoding, while divided attention and exogenous attention have negative effects. Endogenous attention, on the other hand, can enhance encoding by prioritizing specific information.

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The marginal product of capital (MPK) for the production function is option (a) \(\frac{1}{2} \frac{AKL^{1/2}}{K}\)

A production function is a mathematical equation that describes the relationship between the inputs used in the production of a good or service and the output that is produced.

Given the production function \(Y = AK^{1/2} L^{1/2}\), where Y represents output, K represents capital, and L represents labor, we need to find the marginal product of capital (MPK).

As we all know that the marginal product of capital (MPC) is the additional output produced by using one additional unit of capital, while holding all other inputs constant.

To find MPK, we take the derivative of the production function with respect to K:

∂Y/∂K = \((1/2)AK^{-1/2}L^{1/2}\)

Simplifying this expression, we get:

MPK = ∂Y/∂K = \(\frac{1}{2} \frac{AKL^{1/2}}{K}\)

Therefore, the correct answer is (a) \(\frac{1}{2} \frac{AKL^{1/2}}{K}\)

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Complete Question:

What is the marginal product of capital (MPK) for the production function \(Y = AK^{1/2} L^{1/2}\)?

a) \(\frac{1}{2} \frac{AKL^{1/2}}{K}\)

b) \(\frac{1}{2} \frac{AKL^{1/2}}{L}\)

c) \(\frac{1}{3} \frac{AL^{1/2} L^{1/2}}{K}\)

d) \(\frac{1}{2} \frac{AL^{1/2} L^{1/2}}{K}\)

The probability that the sample mean is greater than 87.9 is approximately 0.0735, or 7.35%.

Mean of the sampling distribution, μx = μ = 85

Standard deviation of the sampling distribution (standard error), σx = σ/√n = 12/√36 = 2

(b) What is P(x > 87.9) ?

To find this probability, we need to first convert the sample mean x to a z-score, using the formula:

z = (x - μx) / σx

Substituting the given values into this formula:

z = (87.9 - 85) / 2 = 1.45

Looking up this z-score in a standard normal distribution table, we find that the area to the left of z = 1.45 is approximately 0.9265. The area to the right (which is the probability that x > 87.9) is then:

P(x > 87.9) = 1 - 0.9265 = 0.0735

So, the probability that the sample mean is greater than 87.9 is approximately 0.0735, or 7.35%.

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The testing of the four vertices of the objective function gives;

C(5, 0, 55) = 430

C(5, 30, 25) = 400

C(15, 30, 15) = 420

C(45, 0, 15) = 510 (maximum)

The objective function is seen as attached.

Now, it is noticed that just two of the vertices are listed. The other two vertices are intersections of x + y + z = 60 with x = 5 and the constraints on y.

We will assume that; 0 ≤ y ≤ 30

Thus, the missing vertices are;

(x, y, z) = (5, 0, 55)  and  (5, 30, 25)

The two given vertices are;

(x, y, z) = (15, 30, 15)  and  (45, 0, 15)

Therefore, the objective function values are;

C(5, 0, 55) = 9·5 +6·0 +7·55 = 45 +0 +385 = 430

C(5, 30, 25) = 9·5 +6·30 +7·25 = 45 +180 +175 = 400

C(15, 30, 15) = 9·15 +6·30 +7·15 = 135 +180 +105 = 420

C(45, 0, 15) = 9·45 +6·0 +7·15 = 405 +0 +105 = 510

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Rounded to the nearest tenth, the greatest possible length of the longest side is 25.4 mm, which corresponds to option (C)

Since the triangle is acute, the sum of the squares of the two shorter sides must be greater than the square of the longest side. Using this fact, we can set up the inequality:

$19^2 + (2x)^2 > (3x)^2$

Simplifying, we get:

$361 + 4x^2 > 9x^2$

$5x^2 < 361$

$x^2 < 72.2$

Since x must be positive, we take the square root of both sides:

$x < 8.5$

Therefore, the longest side has a maximum length of:

$3x < 3(8.5) = 25.5$

Rounded to the nearest tenth, the greatest possible length of the longest side is 25.4 mm, which corresponds to answer choice (C).

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Answer:

Step-by-step explanation:

Answer: To simplify your expression using the Simplify Calculator, type in your expression like 2(5x+4)-3x.

The simplify calculator will then show you the steps to help you learn how to simplify your algebraic expression on your own.

Type ^ for exponents like x^2 for "x squared". Here is an example:

Step-by-step explanation:

don't know if this will help but I hope s

The shaded region in the graph represent all possible solution set for [x] and [y].

Given is the inequality as -

- 5x + 4y > - 7

Refer to the graph attached. The shaded area represents the total set of possible solutions for [x] and [y] respectively.

Therefore, the shaded region in the graph represent all possible solution set for [x] and [y].

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Her study could be generalized to:

Students in fraternities/sororities.

Sampling is a technique for when a group of elements from a population is taken to represent the entire population.

This group of elements has to be representative of the entire population, as to lead to correct conclusions, and thus the information gathered from the sample could be generalized to the entire population.

The sample and the population for this problem are identified as follows:

Considering the population, the study can be generalized only for students in fraternity/sorority, meaning that the second option is correct.

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Answer:

-8

Step-by-step explanation:

in your calculator, type in 18.25/6.

Answer:

  a.  $110,700

Step-by-step explanation:

You want to know the value of a $141,000 house after 15 years, if it declines in value 1.6% each year.

The value multiplier each year is ...

  1 - 1.6% = 1 -0.016 = 0.984

When the house value is multiplied by this factor 15 times, it becomes ...

  $141,000×0.984^15 ≈ $110,700

Russell's house is worth about $110,700.

Answer:

y(y+1)(y-3)=-18

Step-by-step explanation:

\(y(2y+3)=y^3+18\\2y^2+3y=y^3+18\\-18=y^3-2y^2-3y\\-18=y(y^2-2y-3)\\-18=y(y^2-3y+y-3)\\-18=y(y(y-3)+(y-3))\\-18=y(y+1)(y-3)\\y(y+1)(y-3)=-18\\\)

Answer:

!!

Step-by-step explanation:

(5x-9)-(2x-7)

(5x-2x)-(9-7)

3x-2

2 / 3

x=2/3 or 0.6666666666666667

T-test is commonly used to examine whether two groups are significantly different from each other or not.

A t-test is an inferential statistic used to determine if there is a significant difference between the means of two groups and how they are related. T-tests are used when the data sets follow a normal distribution and have unknown variances, like the data set recorded from flipping a coin 100 times.

It is a statistical test that is used to compare the means of two groups. It is often used in hypothesis testing to determine whether a process or treatment actually has an effect on the population of interest, or whether two groups are different from one another.

T-test is used to determine whether two groups are different or not.

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The T-test is commonly used to examine whether two groups are significantly different from each other or not.

A T-test is used to determine if two groups are different.

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Answer: 18

Step-by-step explanation:

2 1/4 divided by 1/8 is 18, therefore 18 1/8ths can go into 2 1/4

1/4=2/8

2=16/8

16/8+2/8=18/8 which is also 18•1/8.

Answer:

18

Step-by-step explanation:

\(2 \ \frac{1}{4} = \frac{9}{4} \\ to \: know \: the \: \: number \: of \: \frac{1}{8} in \frac{9}{4} \\ = \frac{9}{4} \div \frac{1}{8} \\ \frac{9}{4} \times \frac{8}{1} = \frac{72}{4} = 18 \\ therefore \: \: it \: is \: \: 18 \)

To apply the \( x \) shearing transformation with a parameter of 2 units, we need to modify the \( x \)-coordinate of each point by adding a value proportional to its \( y \)-coordinate.

Shearing is a geometric transformation that distorts the shape of an object along a particular axis. In this case, we are applying \( x \) shearing, which means we want to modify the \( x \)-coordinates of the given rectangle/square.

The shearing parameter determines the amount of distortion applied. In this case, the shearing parameter towards the \( x \)-direction is 2 units. To achieve this, we add a value proportional to the \( y \)-coordinate to the \( x \)-coordinate of each point.

Considering the given coordinates of the rectangle/square as \( (0,0), (0,2), (2,0), (2,2) \), we apply the \( x \) shearing transformation by modifying the \( x \)-coordinate of each point. For example, for the point \( (0,0) \), the new \( x \)-coordinate would be \( 0 + 2 \times 0 = 0 \). Similarly, for the point \( (0,2) \), the new \( x \)-coordinate would be \( 0 + 2 \times 2 = 4 \). By applying this transformation to all the points, we obtain the coordinates of the sheared rectangle/square.

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Answer:

\(14^{12}\)

Step-by-step explanation:

\((7^{6})^{2}\)

multiply each term on the inside of the parentheses by the square on the outside;

7 x 2 = 14

6 x 2 = 12

= \(14^{12}\)