8x + 38 = -3(-6 - 4x)

Answer:

It is not possible to conclude whether the population mean differs from the sample mean without additional information such as a confidence interval or hypothesis test. While the sample mean and standard deviation provide information about the central tendency and variability of the sample, it cannot be assumed to accurately reflect the population parameters. Since the population is not approximately normal, it is important to use appropriate methods for inference such as non-parametric tests or the Central Limit Theorem for large sample sizes.

Answer:

$18

Step-by-step explanation:

2/3($6) = $4

7/9($18) = $14

total = $18

Answer:

The probability that a randomly selected group of four trees can be used as timber is 4.5 × 10⁻⁵

Step-by-step explanation:

The given parameters are;

Mean = 34 cm

The standard deviation = 8 cm

The mean

The Z score is \(Z=\dfrac{x-\mu }{\sigma }\), which gives;

For x  = 30 we have;

\(Z=\dfrac{30-34 }{8 } = -0.5\)

P(x>30) = 1 - 0.30854 = 0.69146

For x = 40, we have

\(Z=\dfrac{40-34 }{8 } = 0.75\)

P(x < 40) = 0.77337

Therefore, the probability that the mean of four trees is between 30 and 40 is given as follows;

P(30 < x < 40) = 0.77337 - 0.69146 = 0.08191

The probability that a randomly selected group of four trees can be used as timber is given as follows;

Binomial distribution

\(P(X = 4) = \dbinom{4}{4} \left (0.08191\right )^{4}\left (1-0.08191 \right )^{0} = 4.5 \times 10^{-5}\)

Answer:  Hence, the length of swimming pool is 52 m and its breadth if 25 m.  

Step-by-step explanation:

The perimeter of rectangular swimming pool is 154 m and its length is 2 meter more than twice its breadth.

Answer:

B

Step-by-step explanation:

Answer:

x^2-2x-9

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

hope it helps

Answer:

A

Step-by-step explanation:

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Answer: 24 possible ways

A set of 4 tires can be fixed in any of the four possible positions in a car as it is mentioned that all four tires are interchangeable. Therefore, the 4 tires can be fixed in 4! ways. The four interchangeable tires can be put on a car in 24 possible ways.

Step-by-step explanation:

looked it up

D. The population mean is µ = 2.73, and the sample mean is x = 3.07(D).

The mean GPA of all 6000 students at a college is 2.73. A sample of 150 GPAs from this school has a mean of 3.07.In statistics, the symbol µ represents the population mean and x represents the sample mean. Therefore, in this scenario, the population mean is µ = 2.73 and the sample mean is x = 3.07.

It is important to distinguish between these two because the sample mean is used to estimate the population mean. The sample mean is a statistic, while the population mean is a parameter.

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False. The triple exponential smoothing method does consider seasonality variations in the analysis of the data, along with trend and level components, to provide accurate forecasts.

The statement is false. Triple exponential smoothing, also known as Holt-Winters method, is a time series forecasting method that incorporates trend and seasonality variations in the analysis of the data, but it does not specifically use seasonality variations.

Triple exponential smoothing extends simple exponential smoothing and double exponential smoothing by introducing an additional component for seasonality. It is commonly used to forecast data that exhibits trend and seasonality patterns. The method takes into account the level, trend, and seasonality of the time series to make predictions.

The triple exponential smoothing method utilizes three smoothing equations to update the level, trend, and seasonality components of the time series. The level component represents the overall average value of the series, the trend component captures the systematic increase or decrease over time, and the seasonality component accounts for the repetitive patterns observed within each season.

By incorporating these three components, triple exponential smoothing can capture both the trend and seasonality variations in the data, making it suitable for forecasting time series that exhibit both long-term trends and repetitive seasonal patterns.

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Answer:

R = 12

Step-by-step explanation:

1 + 12/R = 13

Yes it is reasonable to save that the farm’s glass recycling could pay for their fuel oil.

Recycling is the process of turning trash into new products and materials. This idea frequently takes the recovery of energy from waste materials into account. The capacity of a substance to regain the qualities it had in its initial state determines how recyclable it is.

Both the environment and your community may benefit from recycling. It protects natural resources, minimizes greenhouse gas emissions, cleans up the air and water, and conserves energy.

In this question, there is a benefit to recycling. That is, the farm would be able to save more fuel. Hence it pays for the costs of fuel.

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Answer:

Area:1298

Step-by-step explanation:

Area of a trapezoid is found with the formula, A=(a+b)/2 x h. So, for this instance to find the area the formula would be, (62+56)/2 x 22.

Hope I could help!:)

Answer:

G (-2,8)

Step-by-step explanation:

(-8+x)/2 = -5

-8 + x = -10

x = -10 + 8

x = -2

(0+y)/2 = 4

y = 4 · 2

y = 8

Option A is the correct answer.

firstly we need to understand what is null hypothesis.

Null hypothesis means the hypothesis that there is no significant difference between specified populations, any observed difference being due to sampling or experimental error.

If the claim is null hypothesis and we fail to reject the null hypothesis then that means that there is not sufficient evidence to warrant rejection of the original claim.

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The above question is incomplete, the complete question is given below:

If your claim is in the null hypothesis and you fail to reject the null hypothesis, then your conclusion would be:

A)There is not sufficient evidence to warrant rejection of the original claim

B)The sample data support the original claim

C)There is not sufficient sample evidence to support the original claim

D)There is sufficient evidence to warrant rejection of the original cl

And the answer is option A.

Answer:

I think the

Step-by-step explanation:

answer is C . let me know

The equation 4^(-2) = 1/16 is true by using the laws of exponents

The expression is given as:

4^(-2)

Apply the law of exponent on the above expression.

So, we have:

4^(-2) = 1/(4^2)

Evaluate the exponent 4^2 (i.e. 4^2 = 16)

So, we have:

4^(-2) = 1/16

Hence, the equation 4^(-2) = 1/16 is true by using the laws of exponents

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Answer:

to find the area to the right positive z-score begin by reading off the area in the standard mormal distribution table, since the total area under the bell curve is 1 we subtract the area from the table from 1. for example the area to the left of z=1.02 is given in the table as 0.846

Step-by-step explanation:

right answer

Answer:

1

Step-by-step explanation:

-8 + 10 + (-3) - (-2)

=> -8 + 10 - 3 + 2

=> 12 - 11

=> 1

Answer:

Step-by-step explanation:

\(-8+10+\left(-3\right)-\left(-2\right)\\\\Follow\:the\:PEMDAS\:order\:of\:operations\\\\\mathrm{Add\:and\:subtract\:\left(left\:to\:right\right)}\:\:\\\\-8+10=2\\\\=2+\left(-3\right)-\left(-2\right)\\\\\mathrm{Apply\:rule\:}+\left(-a\right)\:=\:-a\\\\+\left(-3\right)=-3\\\\=2-3-\left(-2\right)\\\\2-3=-1\\\\=-1-\left(-2\right)\\\\=-1+2\\\\=1\)

Answer:

Function B has a greater slope than Function A

Answer:

Function B has a greater slope than Function A.

Step-by-step explanation:

If you graph function B, you see that it is much steeper than function A.

In the context of economics, the term “break-even point” is used to indicate the number necessary to make enough money to keep going, and it is expressed in both units and dollars.

Break-even point is a term used in cost accounting to describe the point at which total cost and total revenue are equal. At this point, there is no profit or loss; it is a neutral zone. At this point, a firm's revenue from the sale of products and services is just sufficient to cover the total costs of producing those products and services.

The break-even point can be expressed in terms of units sold or in terms of total revenue. The point at which the total revenue equals total cost is the break-even point in terms of dollars. The point at which the number of units sold equals the fixed costs divided by the contribution margin per unit is the break-even point in terms of units sold. Therefore, the break-even point is expressed in both units and dollars to show the number necessary to make enough money to keep going.

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The standard deviation for the amount of food consumed by the dogs in the lab is approximately 4.69 oz, indicating the spread or dispersion of the data set.



To calculate the standard deviation, we need to follow these steps:

1. Calculate the variance: The variance is the average of the squared deviations from the mean. It is calculated by dividing the sum of squared deviations by the number of observations. In this case, the sum of squared deviations is 220, and the number of observations is 10. So, the variance is 220/10 = 22.

2. Take the square root of the variance: The standard deviation is the square root of the variance. Using the calculated variance of 22, we find that the standard deviation is the square root of 22, which is approximately 4.69 oz.

Therefore, the standard deviation for the amount of food consumed by the dogs in the lab is approximately 4.69 oz. The standard deviation measures the spread or dispersion of the data set, indicating how much the individual observations deviate from the mean value.

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Sasha should use 2 desired outcomes in her probability calculation to determine that she has a 1/3 chance of winning the game.

To calculate Sasha's probability of winning, we need to determine how many desired outcomes she has. In this game, Sasha needs to spin a number higher than both of her friends' spins, which means she needs to spin a number greater than 1 and 4.

Let's analyze the spinner pictured. From the image, we can see that the spinner has numbers ranging from 1 to 6. Since Sasha needs to spin a number higher than 4, she has two options: 5 or 6.

Now, let's consider the desired outcomes. Sasha has two desired outcomes, which are spinning a 5 or spinning a 6. If she spins either of these numbers, she will have a number higher than both of her friends and win the game.

To calculate Sasha's probability of winning, we need to divide the number of desired outcomes by the total number of possible outcomes. In this case, the total number of possible outcomes is the number of sections on the spinner, which is 6.

Sasha's probability of winning is 2 desired outcomes divided by 6 total outcomes, which simplifies to 1/3.

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.

Answer:

yes because radius makes 90 degree with it. using Pythagoras theorem, it is seen that 5^2 = 3^2 + 4^2

Answer:

See below.

Step-by-step explanation:

Side BC is adjacent to <B and is 11 units long.

Side BA is the hypotenuse and is x units long.

The average of 5 consecutive numbers starting from b is a+4.

Average of 5 numbers starting from a :

Avg = (a+a+1+a+2+a+3+a+4)/5

Avg = a+2

=> b = a+2

Average of 5 numbers starting form b :

Avg = (b+b+1+b+2+b+3+b+4)/5

Avg = b+2

Substituting b = a+2

Avg = (a+2) + 2

Avg = a+4

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Answer:

w 2 x 6

Step-by-step explanation:

Answer:

C. Same is not an orange belt and Kate is not a red belt.

Step-by-step explanation:

The negation for the statement is Sam is not an orange belt or Kate is not a red belt.

The negation of a conjunction is equivalent to the disjunction of the negation of the statements making up the conjunction. To negate an “and” statement, negate each part and change the “and” to “or”.

Given statement:

Sam is an orange belt and Kate is a red belt.

Now, to make the negation we have to consider the rule "To negate an “and” statement, negate each part and change the “and” to “or”."

So, the negation statement would be

Sam is not an orange belt or Kate is not a red belt.

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Answer:

\(a_n=4n-11\)

Step-by-step explanation:

The common difference is \(d=4\) with the first term being \(a_1=-7\), so we can generate an explicit formula for this arithmetic sequence:

\(a_n=a_1+(n-1)d\\a_n=-7+(n-1)(4)\\a_n=-7+4n-4\\a_n=4n-11\)