Five years ago, the mean household expenditure for energy was $1,493. An economist believes that this has increased from the past level. In a simple random sample of 35 households, the economist found the current mean expenditure for energy to be $1,618 with a standard deviation of $321. He performed a hypothesis test of the appropriate type and found a p-value of 0.02748. Interpret the p-value in this context.
a. There is a 0.02748 probability of obtaining a sample mean of $1,618.
b. There is a 0.02748 probability of obtaining a sample mean different from $1,618 from a population whose mean is $1,493.
c. There is a 0.02748 probability that the sample mean is $1,618 from a population whose mean is $1,493.
d. There is a 0.02748 probability of obtaining a sample mean of $1,618 or lower from a population whose mean is $1,493.
e.There is a 0.02748 probability of obtaining a sample mean of $1,618 or higher from a population whose mean is $1,493.

Answer:There are different ways to write an expression that has the same value as -y-4, depending on how we manipulate the terms using the properties of arithmetic. For example, some possible expressions are:

-(y+4), by factoring out a negative sign.

-4-y, by changing the order of the terms using the commutative property of addition.

(-1)(y+4), by multiplying by -1.

4-(-y)-8, by adding and subtracting 4.

Step-by-step explanation:

The coordinates of B when it is given that A(5,-2) and M(12,6) is (29, 14).

If M is the mid-point of line segment AB, and the coordinates of A = (5,-2) while the coordinates of B = (12,6), then the coordinates of M = (8.5,2), which is what you stated that you got.

You are provided with M = (12,6) so you need to identify the coordinates of B. So, just ask yourself how did I get from A to M ? The answer is move 7 right and 8 up since 5 + 7 = 12 while -2 + 8 = 6. All you have to do is add 7 more to the x-value and 8 more to the y-value to obtain the correct answer of (19,14).

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Find the coordinates of B when it is given that A(5,-2) and M(12,6),

Answer:

1 hour 37 minutes

Step-by-step explanation:

From the image attached, we can see the start and end time represented by the clock. To calculate the length of time that Maria and her friends rode, we just have to subtract the start time from the end time.

From the end time clock, we can see that the end time is 2:24, while from the start time clock, we can see that the start time is 12:47. Hence, the length of time they rode is:

Length of time for bike ride = 2:24 - 12:47 = 1 hour 37 minutes

On solving the provided question, we can say that the probability of the standard deviation will be as follows The probability is _0.9357_. normalcdf(-1.52,10000,0,1)=0.9357.

Standard deviation is a statistic that expresses the variability or variance of a group of numbers. While a high standard deviation suggests that the values are more dispersed, a low standard deviation suggests that the values tend to be closer to the established mean. A measure of how dispersed the data are from the mean is the standard deviation (or ). When the standard deviation is low, the data tend to be grouped around the mean, and when it is large, the data are more dispersed. The average variability of the data set is measured as standard deviation. It reveals the average deviation of each score from the mean.

the probability of the standard deviation will be as follows

The probability is _0.9357_.

normalcdf(-1.52,10000,0,1)=0.9357

and also The probability is _0.9788_.

normalcdf(-10000,2.03,0,1)=0.9788

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The statement you provided mentions two separate events involving different companies lower rates

1. Hertz runs a sale: Hertz, a car rental company, is having a sale. This implies that they are offering in  discounted prices or promotional deals on their rental services.

2. Avis buys new cars and Budget lowers rates: Avis, another car rental company, is purchasing that  new cars to add to their fleet. On the other hand, Budget, yet another car rental   the company, is reducing their rental rates.

These events indicate of independent actions taken by the respective companies and are not directly connected to each other.

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Answer:

C D E

Step-by-step explanation:

15:3=5

25:5=5

40:8=5

The number line that shows the solution of the inequality x>3 must have its arrow starting in 3 with an empty circle (since 3 must not be included), and the arrow must be pointing to the right, where the values are greater than 3.

It should look like this:

Assuming that "in an easterly direction" means that the displacement from O to P is in the positive direction, the position of point P can be expressed as +50 km.

Positive numbers are typically expressed with no sign or with a plus sign (+) in front of them. For example, +5 or 7. Negative numbers are expressed with a minus sign (-) in front of them. For example, -3 or -10.

These expressions are used to differentiate between values that are greater than zero (positive) and those that are less than zero (negative).

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Answer:

It's just y2-y1 over x2-x1

Step-by-step explanation:

so pick a coordinate and make it 1 and make the other one 2  and put in the numbers.

The slope of the line will be m = -1/9.

        y = mx + c

        [m] → is slope of line which tells the unit rate of change of [y] with respect to [x].

        [c] → is the y - intercept i.e. the point where the graph cuts the [y] axis

Other possible equations of line are -

We have a line through (9, 4) and (0, 5).

The slope of the line will be -

[m] = (4 - 5)/(9 - 0)

[m] = - 1/9

Therefore, the slope of the line will be m = -1/9.

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Answer:

Population (p) = 4,000 hundred metric tons

Size of the yield (f(p)) = 8,000 hundred metric tons

Step-by-step explanation:

The population of sardines 'p', for which the derivate of the function f(p) is zero, is the population that gives the maximum sustainable yield:

\(f(p) = -0.0005p^2 + 4p\\\frac{df(p)}{dp}=-0.0010p+4\\-0.0010p+4 =0\\p=4,000\)

The size of the maximum sustainable yield is:

\(f(p) = -0.0005p^2 + 4p\\f(4,000) = -0.0005(4,000^2) + 4*4,000\\f(4,000) = 8,000\)

Population = 4,000 hundred metric tons

Size of the yield = 8,000 hundred metric tons

The mixture would contain approximately 0.849 cups of caramel popcorn and 1.698 cups of cheese popcorn.

Let's define the variables:

Let x be the number of cups of caramel popcorn in the mixture

Let y be the number of cups of cheese popcorn in the mixture

We are given that the mixture has two times as much cheese popcorn as caramel popcorn, so y = 2x.

We are also given that the total number of calories in the mixture is 254. To find an equation that relates x and y, we can use the calorie information for each type of popcorn:

Calories from caramel popcorn = 183x

Calories from cheese popcorn = 58y = 58(2x) = 116x

Total calories in the mixture = 183x + 116x = 299x

Setting the total calories equal to 254 and solving for x:

299x = 254

x = 0.849

So we would need 0.849 cups of caramel popcorn in the mixture.

To find the number of cups of cheese popcorn, we can use the equation y = 2x:

y = 2(0.849) = 1.698

So we would need 1.698 cups of cheese popcorn in the mixture.

Therefore, the mixture would contain approximately 0.849 cups of caramel popcorn and 1.698 cups of cheese popcorn.

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Answer:

See explanation for matching pairs

Step-by-step explanation:

Equations

(1)

\(x - y = 25\)

\(2x + 3y = 180\)  

(2)

\(2x - 3y = -5\)

\(11x + y = 550\)  

(3)

\(x - y = 19\)

\(-12x + y = 168\)

Solutions

\((-17,-36)\)

\((47, 33)\)

\((51, 26)\)

Required

Match equations with solutions

(1) \(x - y = 25\) and \(2x + 3y = 180\)

Make x the subject in: \(x - y = 25\)

\(x = 25 + y\)

Substitute \(x = 25 + y\) in \(2x + 3y = 180\)

\(2(25 + y) + 3y = 180\)

\(50 + 2y + 3y = 180\)

\(50 + 5y = 180\)

Collect like terms

\(5y = 180-50\)

\(5y = 130\)

Solve for y

\(y =26\)

Recall that: \(x = 25 + y\)

\(x = 25 + 26\)

\(x = 51\)

So:

\((x,y) = (51,26)\)

(2)  \(2x - 3y = -5\) and \(11x + y = 550\)

Make y the subject in \(11x + y = 550\)

\(y = 550 - 11x\)

Substitute \(y = 550 - 11x\) in \(2x - 3y = -5\)

\(2x - 3(550 - 11x) = -5\)

\(2x - 1650 + 33x = -5\)

Collect like terms

\(2x + 33x = -5+1650\)

\(35x = 1645\)

Solve for x

\(x = 47\)

Solve for y in \(y = 550 - 11x\)

\(y = 550 - 11 * 47\)

\(y = 550 - 517\)

\(y = 33\)

So:

\((x,y) = (47,33)\)

(3)

\(x - y = 19\)  and \(-12x + y = 168\)

Make y the subject in \(-12x + y = 168\)

\(y = 168 + 12x\)

Substitute \(y = 168 + 12x\) in \(x - y = 19\)

\(x - 168 - 12x = 19\)

Collect like terms

\(x -12x = 168 + 19\)

\(-11x = 187\)

Solve for x

\(x = -17\)

Solve for y in \(y = 168 + 12x\)

\(y =168-12 *17\)

\(y =-36\)

So:

\((x,y) = (-17,-36)\)

Answer:

true, theres nothing inside the parenthesis meaning that you remove it as a first step

Step-by-step explanation:

(a) The sampling distribution of p-hat1 - p-hat2 can be approximated by a normal distribution. According to the Central Limit Theorem, when the sample sizes are large enough , the sampling distribution of the difference in sample proportions will be approximately normal, regardless of the shape of the population distributions. Therefore, the shape of the sampling distribution of p-hat1 - p-hat2 is approximately normal.

(b) The mean of the sampling distribution of p-hat1 - p-hat2 can be calculated as:

mean = p1 - p2

where p1 is the population proportion of orange M&M's milk chocolate candies and p2 is the population proportion of orange peanut M&M's.

mean = 0.20 - 0.23 = -0.03

The standard deviation of the sampling distribution of p-hat1 - p-hat2 can be calculated using the formula:

standard deviation = sqrt((p1(1 - p1) / n1) + (p2(1 - p2) / n2))

For M&M's milk chocolate candies:

p1 = 0.20 (proportion of orange M&M's milk chocolate candies)

n1 = 240 (sample size of M&M's milk chocolate candies)

For peanut M&M's:

p2 = 0.23 (proportion of orange peanut M&M's)

n2 = 240 (sample size of peanut M&M's)

standard deviation = sqrt((0.20(1 - 0.20) / 240) + (0.23(1 - 0.23) / 240))

(c) To find P(p-hat1 - p-hat2 > 0), we need to calculate the probability that the difference in sample proportions is greater than zero. This can be interpreted as the probability of observing a greater proportion of orange M&M's milk chocolate candies than orange peanut M&M's.

To calculate this probability, we need to standardize the sampling distribution using the mean and standard deviation calculated in part (b) and then find the area under the normal curve to the right of zero.

Let Z be the standard normal variable.

Z = (p-hat1 - p-hat2 - mean) / standard deviation

Z = (0 - (-0.03)) / standard deviation

Using the calculated mean and standard deviation, we can find the corresponding Z-score and then find the area to the right of zero using a standard normal table or calculator. This area represents P(p-hat1 - p-hat2 > 0), the probability of observing a greater proportion of orange M&M's milk chocolate candies than orange peanut M&M's.

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Answer:

tan360°= 0

I hope this helps you

Answer:

please mark as brainliest

Step-by-step explanation:

tan360°

= cot (90°-360°) = cot -270°

-tan360°

= tan (-360°) = -tan 360°

= cot (90°+360°) = cot 450°

= tan (180°-360°) = tan -180°

The percentage increase in the cost of oranges is 20%

A % is a quantity or ratio stated as a fraction of 100 in mathematics (from the Latin per centum, "by a hundred"). The abbreviation "pct.", "pct.", and occasionally "pc" are also used to indicate it, but the percent sign, "%," is more frequently employed. There is no unit of measurement for a %; it is a dimensionless number (pure number).

The symbol for "%" developed from the progressive reduction of the Italian term per cento, which means "for a hundred." It finally vanished totally. The word "per" was frequently shortened to "p." Two circles and a horizontal line made up the "cento," which is how the contemporary "%" symbol is now represented.

Given that the oranges at the grocery store went from $0.75/ib to $ 0.90/ib

=(0.90-0.75)/0.75

=0.15/0.75

=0.2

% increase= 0.2*100

=20%

Therefore, the percentage increase in the cost of oranges is 20%

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Answer:

\(x = 21 \sin(38 \degree) \\ x = 12.93\)

The more accurate value is roughly x = 16.5482258257411

=====================================================

Work Shown:

cos(angle) = adjacent/hypotenuse

cos(38) = x/21

21*cos(38) = x

x = 21*cos(38)

x = 16.5482258257411 which is approximate

x = 17

I'm rounding to the nearest whole number since the other side (21) is a whole number. If your teacher instructs you to round otherwise, then follow those instructions of course. Make sure your calculator is in degree mode.

The objective of this research is to collect data on a specific component of the off-campus student population.The amount of time they spend travelling to courses each week.

a) The population for this study is all off-campus students at this college, and the sample is a random sample of 45 off-campus students who are polled. The sample is chosen at random to be representative of the entire population.

b) The data being gathered is the amount of time the surveyed students spend each week travelling to school. Because it reflects a numerical measurement, this is quantitative data. This information will be used to calculate the average commuting time for off-campus students and to identify any possible concerns or areas for improvement in commuting.

c) This is a descriptive research, since it seeks to characterise and summarise the features of the off-campus student population in terms of commuting time. The study's purpose is to better understand off-campus students' commuting patterns and gather ideas into how to enhance their commuting experience.

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Anurag walks 2 km every day on his way back.

i. To find the distance Anurag walks every day on his way back, we need to calculate the distance covered by walking.

Given that Anurag takes an auto to travel 1/6 of the total distance and covers 4/5 of the remaining distance by bus, the remaining distance he has to walk can be found by subtracting the distance covered by the auto and bus from the total distance.

Total distance = 12 km

Distance covered by auto = 1/6 * 12 km = 2 km

Remaining distance = Total distance - Distance covered by auto = 12 km - 2 km = 10 km

Distance covered by bus = 4/5 * 10 km = 8 km

Distance walked = Remaining distance - Distance covered by bus = 10 km - 8 km = 2 km

Therefore, Anurag walks 2 km every day on his way back.

ii. If Anurag goes to the office 5 days in a week, the total distance he walks every week can be calculated by multiplying the distance walked every day by the number of days he goes to the office.

Distance walked every week = Distance walked every day * Number of days

Distance walked every week = 2 km/day * 5 days/week = 10 km/week

Therefore, Anurag walks 10 km every week.

iii. Anurag walks some distance daily because the office is not directly accessible by auto or bus. Walking the remaining distance is necessary to reach his destination. Walking provides physical exercise and can also be a convenient and cost-effective mode of transportation for shorter distances. It allows Anurag to maintain an active lifestyle and may have additional benefits such as reducing carbon emissions and contributing to his overall health and well-being.

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Answer:

49

Step-by-step explanation:

The explicit formula for f^-1 is (x-3)^(1/4) and this is obtained by switching the roles of x and y and solving for y in terms of x.

To find the inverse function of f(x)=x^4+3, we need to switch the roles of x and y, and solve for y.
Let y = x^4+3
Subtract 3 from both sides to get:
y - 3 = x^4
Take the fourth root of both sides to isolate x:
(x^4)^(1/4) = (y-3)^(1/4)
Simplify:
x = (y-3)^(1/4)
So the inverse function of f(x) is:
f^-1 (x) = (x-3)^(1/4)
This is the explicit formula for the inverse function of f(x).
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Answer:

12- 4 = 8

Give me a brainylest:)

Thank you-!

Rotating an image 90 degrees counterclockwise means turning the image so that it appears to be facing to the left. This can be done using various software programs, including image editors like Adobe Photoshop or online tools like PicMonkey.

In Adobe Photoshop, you can rotate an image 90 degrees counterclockwise by selecting the "Transform" option from the "Edit" menu. This will bring up a bounding box around the image, and you can then use the "Rotate" tool to turn the image counterclockwise.

If you are using an online tool, the process is similar. Simply upload the image you want to rotate, select the "Rotate" tool, and then choose the "90 degrees counterclockwise" option.

In conclusion, rotating an image 90 degrees counterclockwise is a straightforward process that can be done using various software programs and online tools. Whether you are editing photos for personal use or for a school project, understanding image manipulation is an important skill to have.

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The SKU with the highest coefficient of variation is J52706 with a value of 0.4.

SKU, or stock keeping unit, is an acronym. Every different good and service that is offered for sale in an organization's inventory has a special identification number issued to it. The dispersion of data points in a data series around the mean is statistically measured by the coefficient of variation (CV).

The standard deviation to mean ratio is used to compute it. It's frequently stated as a percentage. More variability is indicated by a higher CV, whilst less variability is indicated by a lower CV. The coefficient of variation (CV) is defined as:

CV=o/p

where o is the standard deviation and p is the mean.

The linked file contains information regarding the unit cost, unit sales price, weekly sales volume, and weekly sales standard deviation for each SKU. (Refer the image)

To find out which SKU has the most volatile demand (highest coefficient of variation), we need to calculate CV for each SKU using the formula Cv=o/p. After calculating CV for each SKU, we can compare them to find out which SKU has the highest CV.

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Complete question is:

The Fast Fashion Group (FFG) is a fast fashion retailer company located in Spain and is one of the largest retailers in the country (their overall sales has grown by about 50% in five years). FFG sells clothes and accessories. The customer is at the heart of its business model, which strives to link customer demand to manufacturing, and manufacturing to distribution. Jennifer Clark, the supply chain manager of the company, is concerned about fast moving products and high volatility. Since the number of SKUs has grown dramatically in the last year, she believes that the SKUs should be segmented and has asked you to run an ABC analysis on a sample of 60 SKUs (all of them are jeans).

In the linked file here, you will find the information you need regarding the unit cost, unit sales price, weekly sales volume, and weekly sales standard deviation for each SKU. Each SKU is represented by its ID, which is an alphanumeric code (e.g.: J52706). All currencies are in Euros.

Which SKU has the most volatile demand (highest coefficient of variation)? The coefficient of variation is defined as c, = 0/4

Answer:

57.5

Step-by-step explanation:

(180-65)/2

Answer:

Step-by-step explanation:

Area = b × h  (where b is the base and h the height)

Area = 5 × 8

Area = 40 units²

The area of a parallelogram = base x height

In this case, the base of the parallelogram is 5 and the height is 8 so,

Area = 5 x 8

Area = 40

Therefore, the area of the parallelogram is 40 square units.

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While extrapolation can be a useful tool for making predictions, it should be used with caution and accompanied by appropriate analysis and consideration of the limitations and uncertainties involved.

Extrapolation is the process of making predictions or estimating values beyond the range of the observed data. It involves extending the trend or pattern observed in the existing data to predict values outside of the sampled range. This can be done by using mathematical models or statistical techniques.

Extrapolation is often used when there is a need to estimate or forecast values that are beyond the range of the available data. However, it is important to note that extrapolation comes with inherent risks and uncertainties. The assumptions made in extrapolation may not hold true outside the observed range, and the accuracy of the predictions decreases as we move further away from the sampled data.

Therefore, while extrapolation can be a useful tool for making predictions, it should be used with caution and accompanied by appropriate analysis and consideration of the limitations and uncertainties involved.

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To prove that the triangles are similar by the SSS (Side-Side-Side) similarity theorem, the corresponding sides of the triangles MN and SR must be proportional to each other.

In the SSS similarity theorem, for two triangles to be similar, all three pairs of corresponding sides must be proportional. In the given scenario, we have triangles MN and SR. To establish similarity using the SSS theorem, we need to compare the lengths of the corresponding sides of these triangles.

We are given that MN is proportional to SR, and based on the information provided, we can conclude that QR is proportional to NO.

However, we don't have information about the third pair of sides, which is MN and QR, to establish similarity using the SSS theorem. Therefore, we cannot prove the similarity of these triangles solely based on the given information.

To prove the similarity of triangles MN and SR using the SSS similarity theorem, we also need to compare the lengths of the remaining pair of corresponding sides, MN and QR. Without that information, we cannot establish similarity solely based on the provided sides and angles.

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