Rob and his two friends were digging holes to plant some new trees. The holes need to be at least 3 feet deep. So far robs hole is 14/5, sams is 2.6 feet and toms is 2 1/8 feet. Who is closest to being finished

Answer:

4.5 gallons of paint

Step-by-step explanation:

a. To show that the model can be written as xt = δt + ∑1twk, we can use induction.

For t = 1:

x1 = δ + x0 + w1

= δ + 0 + w1

= δ + w1

So the base case holds.

Assume that the model holds for t = k, i.e., xk = δk + ∑1k wk.

For t = k+1:

xk+1 = δ + xk + wk+1

= δ + (δk + ∑1k wk) + wk+1

= δk+1 + ∑1k+1 wk

Therefore, by induction, the model can be written as xt = δt + ∑1twk.

v. To find the mean function of xt, we can take the expected value of both sides of the model equation:

E[xt] = E[δt + ∑1twk]

= E[δt] + E[∑1twk]

= δt + ∑1tE[wk]

= δt

So, the mean function of xt is given by μt = δt.

To find the autocovariance function of xt, we need to calculate Cov(xt, xs) for s ≠ t.

For s < t:

Cov(xt, xs) = Cov(δt + ∑1twk, δs + ∑1swk)

= Cov(δt, δs) + Cov(δt, ∑1swk) + Cov(∑1twk, δs) + Cov(∑1twk, ∑1swk)

= 0 + 0 + 0 + Cov(∑1twk, ∑1swk)

= Cov(∑1twk, ∑1swk)

= Cov(wt + ∑1t-1wk, ws + ∑1s-1wk)

= Cov(wt, ws) + Cov(wt, ∑1s-1wk) + Cov(∑1t-1wk, ws) + Cov(∑1t-1wk, ∑1s-1wk)

= 0 + 0 + 0 + Cov(∑1t-1wk, ∑1s-1wk)

Since wt and wk are white noise with mean zero and variance σw^2, their covariance is zero unless t = s. Therefore, we have:

Cov(xt, xs) = 0 for s < t

For s > t, the covariance remains zero as well, since we can use the same logic as above.

For s = t, we have:

Cov(xt, xs) = Cov(δt + ∑1twk, δt + ∑1twk)

= Cov(δt, δt) + Cov(δt, ∑1twk) + Cov(∑1twk, δt) + Cov(∑1twk, ∑1twk)

= Var(δt) + Cov(∑1twk, ∑1twk)

= Var(δt) + Var(∑1twk) + 2Cov(∑1twk, ∑1twk)

= Var(δt) + Var(∑1twk) + 2∑1t-1Cov(wk, wk)

= Var(δt) + Var(∑1twk) + 2∑1t-1σw^2

Since δ is a constant and wk is a white noise process, Var(∑1twk) = ∑1tVar(wk) = tσw^2.

Therefore, we have:

Cov(xt, xs) = Var(δt) + tσw^2 + 2∑1t-1σw^2

= Var(δt) + tσw^2 + 2σw^2(t-1)

= Var(δt) + 3tσw^2 - 2σw^2

Finally, we can conclude that the mean function of xt is μt = δt, and the autocovariance function of xt is Cov(xt, xs) = Var(δt) + 3tσw^2 - 2σw^2.

c. To determine if xt is stationary, we need to check if the mean function and autocovariance function are independent of time (t).

In this case, the mean function is μt = δt, which is dependent on time. Therefore, xt is not stationary.

Similarly, the autocovariance function Cov(xt, xs) = Var(δt) + 3tσw^2 - 2σw^2 depends on both t and s, so xt is not stationary.

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Answer:I think it would be four decimals

Step-by-step explanation:

The value of the expression after correct to 2 decimal places will be;

⇒ 9.72 × 12.05 = 117.13

What is Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

The expression is,

⇒ 9.72 × 12.05

Now,

Solve the expression as;

The expression is,

⇒ 9.72 × 12.05

After multiply, we get;

The expression is,

⇒ 9.72 × 12.05 = 117.126

After correct to 2 decimal places, we get;

⇒ 9.72 × 12.05 = 117.13

Thus, The value of the expression after correct to 2 decimal places will be;

⇒ 9.72 × 12.05 = 117.13

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To calculate the percentage of the 250 ha paddock that can be sowed with 12.560 kg of wheat seed, we first need to determine how much seed is needed per hectare and this will give the answer 0.063%.

Given that the showing rate is 79.62 kg/ha, we can divide the total seed amount by the showing rate to get the number of hectares that can be sown with the given amount of seed:

12.560 kg / 79.62 kg/ha = 0.1576 ha

This means that 0.1576 hectares of land can be sown with 12.560 kg of wheat seed.

To calculate the percentage of the 250 ha paddock that can be sown, we can divide the sown land area by the total paddock area and then multiply by 100:

0.1576 ha / 250 ha x 100% = 0.063%

Therefore, you can sow approximately 0.063% of the 250 ha paddock with 12.560 kg of wheat seed, assuming a showing rate of 79.62 kg/ha.

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Answer:

4

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

The probability of not drawing a blue marble in the first trial is given by the ratio of the number of yellow marbles to the total number of marbles: 8/10. After removing one yellow marble, the probability of not drawing a blue marble in the second trial becomes 7/9. Similarly, for the third trial, the probability is 6/8, and for the fourth trial, it is 5/7. To find the probability of not drawing a blue marble in all four trials, we multiply these individual probabilities together: (8/10) * (7/9) * (6/8) * (5/7) = 0.2.

To calculate the probability of not drawing a blue marble in the first four trials, we use the concept of conditional probability. We assume that each marble is drawn without replacement, meaning that once a marble is selected, it is not put back into the pocket. Since the marbles are drawn randomly, the probability of choosing a specific marble on any given trial depends on the composition of the remaining marbles. In this case, we multiply the probabilities of each trial together because we want to find the probability of multiple independent events occurring consecutively.

2. The probability of having exactly one blue marble within the first four trials can be calculated using a combination of probabilities. There are four possible positions for the blue marble within the four trials: first trial, second trial, third trial, or fourth trial. We can calculate the probability of having the blue marble in each of these positions and sum them up.

The probability of the blue marble being in the first trial is (2/10) * (8/9) * (7/8) * (6/7) = 0.1333.

The probability of the blue marble being in the second trial is (8/10) * (2/9) * (7/8) * (6/7) = 0.1333.

The probability of the blue marble being in the third trial is (8/10) * (7/9) * (2/8) * (6/7) = 0.1333.

The probability of the blue marble being in the fourth trial is (8/10) * (7/9) * (6/8) * (2/7) = 0.1333.

Adding these probabilities together gives a total probability of 0.1333 + 0.1333 + 0.1333 + 0.1333 = 0.5333.

We use the concept of conditional probability and calculate the individual probabilities for each position where the blue marble can be found. In each calculation, we multiply the probability of selecting a blue marble in the given position with the probabilities of selecting yellow marbles in the other positions. Then, we add up these individual probabilities to find the overall probability of having exactly one blue marble within the first four trials.

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hope it will help you...good luck

Answer:

6

Step-by-step explanation:

12+x=3x

2x=12

x=6

To determine the vertices of image U′V′W′ after a 180° counterclockwise rotation, we can apply the following transformation rules:

Using these rules, we can find the vertices of image U′V′W′ as follows:

Therefore, the vertices of image U′V′W′ after a 180° counterclockwise rotation are U′(0, -2), V′(1, -3), and W′(3, -3).

So, the answer is option (b) U′(0, −2), V′(1, −3), W′(3, −3).

The turntable turns through a 45.0 degree angle, the radial line also rotates by 45.0 degrees. Therefore, the direction of the ladybug's displacement vector is 45.0 degrees counterclockwise from the positive x-axis.

Part A:
The radius of the turntable is half of the diameter, which is 6.0 in. The ladybug crawls in a straight radial line to the edge, which means its displacement vector is equal to the radius of the turntable. Therefore, the magnitude of the ladybug's displacement vector is 6.0 in.

Part B:
The direction of the ladybug's displacement vector is the same as the direction of the radial line from the center of the turntable to the edge. This direction can be described by the angle between the positive x-axis and the radial line.

Since the turntable turns through a 45.0 degree angle, the radial line also rotates by 45.0 degrees. Therefore, the direction of the ladybug's displacement vector is 45.0 degrees counterclockwise from the positive x-axis.

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Answer:

Step-by-step explanation:

Solving systems of equations gives the points of intersection when the equations are graphed.

The answer is 3.

The estimated cost of the new 3000-ft2 heat exchange system for the plant retrofit can be calculated using the power-sizing exponent and the price index. Based on the given information, the rough estimate for the cost of the new heat exchanger system is approximately $108,984.

To estimate the cost of the new heat exchange system, we need to consider the price index and the power-sizing exponent. The price index provides a measure of the change in prices over time. In this case, the price index 7 years ago was 1360, and the current price index is 1478.

To calculate the cost estimate, we can use the following formula:

Cost estimate = (Cost of previous heat exchanger) × (Current price index / Previous price index) × (New size / Previous size) ^ power-sizing exponent

Using the given information, the cost of the previous heat exchanger was $75,000, the previous size was 1200 ft2, and the new size is 3000 ft2.

Plugging in these values into the formula, we get:

Cost estimate = ($75,000) × (1478 / 1360) × (3000 / 1200) ^ 0.55

Simplifying the calculation, we find:

Cost estimate ≈ $108,984

Therefore, a rough estimate for the cost of the new 3000-ft2 heat exchanger system for the plant retrofit is approximately $108,984. It's important to note that this is just an estimate and the actual cost may vary based on specific factors and market conditions.

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The standard deviation for the test is 8, the mean score is 79.

The standard deviation is a measurement of how much a group of values vary or are dispersed. While a high standard deviation suggests that the values are dispersed throughout a wider range, a low standard deviation suggests that the values tend to be close to the established mean.

Given that,

On a science test, a score of 91 falls exactly 1.5 standard deviations above the mean.

μ + 1.5σ = 91

If the standard deviation for the test is 8

σ = 8

μ + 1.5σ = 91

μ + 1.5(8) = 91

μ + 12 = 91

μ = 91-12

μ = 79

Therefore, the mean score is 79.

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The percent increase in the cost of the uniform from last year to this year is 25%.

To find the percent increase in the cost of the uniform from last year to this year, we need to calculate the difference between the two prices, divide it by the original price, and then multiply by 100 to express the result as a percentage.

The difference between this year's price and last year's price is:

$65 - $52 = $13

The original price (last year's price) is $52.

So the percent increase in the cost of the uniform is:

percent increase = (difference / original price) x 100

percent increase = ($13 / $52) x 100

percent increase = 0.25 x 100

percent increase = 25%

Therefore, the percent increase in the cost of the uniform from last year to this year is 25%.

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A relationship might exist in a sample even though it does not exist in the population, because of b) Sampling error

In statistical analysis, a relationship might appear in a sample even though it does not exist in the population due to sampling error. This occurs when the sample is not fully representative of the population, leading to discrepancies between the sample statistics and the true population parameters.

Sampling error can cause random fluctuations that mistakenly suggest a relationship, which may not be present in the larger population. It is important to consider the limitations and potential sources of error when generalizing findings from a sample to the broader population. So b option is correct.

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To estimate the population mean age of incoming fall term transfer students with 99% confidence and a margin of error of 2.5, a sample size of 166 is required, assuming a population standard deviation of .

Explanation: To determine the required sample size, we need to use the formula:

n = ((z*σ) / E)^2

Where:

n = sample size

z = critical value

σ = population standard deviation

E = margin of error

Since we want to be 99% confident and the population standard deviation is given as , we can use the z-value for a 99% confidence level, which is 2.58 (rounded to two decimal places). The margin of error is given as 2.5. Substituting these values in the formula, we get:

n = ((2.58 * ) / 2.5)^2 = 166 (rounded to the nearest whole number)

Therefore, a sample size of 166 is required to estimate the population mean age of incoming fall term transfer students with 99% confidence and a margin of error of 2.5. It's important to note that the sample should be selected randomly to ensure that the estimates are representative of the population, and the assumptions of normality and independence should be met for the sample to be valid.

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Therefore, the equation developed in (b) is appropriate to relate the coefficient of thermal expansion and temperature.

(a) The scatter plot of coefficient of thermal expansion (a) against temperature (T) is shown below:

[30%] \(a = f(T)\)

The equation that relates the coefficient of thermal expansion (a) to temperature (T) is:

\(a = 6.037 - 0.014 T\)

(b) Linear regression using the least squares method was carried out to determine the relation between the coefficient of thermal expansion and temperature.

The table below shows the results obtained:

Variable: 6

Parameter: 0370.

Estimate: 14442

Std: 2660

Error T- Value p-Value: 0329T-0.0140

Intercept: 0026-5.

=2320.0004

[40%]\(a

= 6.037 - 0.014 T\)

(c) The residuals for each experimental point were calculated using the regression equation and plotted on a run chart as shown below:

[30%]

The residual plot shows no apparent patterns, indicating that the regression model is adequate.

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.

Answer:

5 + 102x

Step-by-step explanation:

  5(-8+6x) - 9(-5-8x)

= -40 + 30x + 45 + 72x

= 5 + 102x

Answer:

0.88

Step-by-step explanation:

Answer:

The answer should be x+y greater than or equal to 500

Step-by-step explanation:

hope this helps. :)

The inequalities best represents the situation for savings account is; option 3: x+y greater than or equal to 500.

For the given question,

The total in someone's checking and savings account together must be $500 or more.

The inequalities best represents the situation is;

x+y greater than or equal to 500.

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Answer:

1. 110°

2. 139°

Step-by-step explanation:

1. 180° in a triangle

180 - 40 - 30 = 110°

2. 180° in a triangle

angles on a straight line add up to 180°

180 - 64 - 75 = 41°

180 - 41 = 139°

Answer:

the second choice which is positive 4 is the answer

Answer:

4

Step-by-step explanation:

(-80)/(-20)=

(-40)/(-10) when divided by 2

(-20)/(-5) when divided by 2 again

(-4)/(-1) when divided by 5

4 when divided by -1

Hope this helps

(pls mark brainliest)

Answer:

A). 8 units

Step-by-step explanation:

Use the distance formula to determine the distance between the two points.

Answer:

8

Step-by-step explanation:

Answer:

It's B

Step-by-step explanation:

Given that we have the graph of f(x), we want to see which one is the graph of its inverse. i just had that question and i got a 100 on it

Answer:

Step-by-step explanation:

1/5 of 40

or  40/5,   do you see the answer now?

also,  was your pillow missing , when you woke up this morning? :0  

:DDDDD  maybe it wasn't cupcakes you were eating in your dream :DDDD

8 is your answer, BTW

Answer:

5

Step-by-step explanation:

Answer:

Rewrite the expression= 5^2

Step-by-step explanation:

With the same base number of 5, one adds the exponents.

In this case 5^-2*5^-4*5^8    8-6=2 as the exponent

9514 1404 393

Answer:

  a = (s +t)/(m +r)

Step-by-step explanation:

Add t, then divide by the coefficient of 'a'.

  \(a(m+r)-t=s \qquad\text{given}\\\\a(m+r)=s+t \qquad\text{add $t$}\\\\\boxed{a=\dfrac{s+t}{m+r}} \qquad\text{divide by $m+r$}\)

Answer:

Step-by-step explanation:

For a necklace.

There are x wooden beads at $0.50 each.

There are 6 glass beads at $1.25 each

Therefore the cost of the beads in a necklace is

0.50x + 6*1.25 = 0.5x + 7.5 dollars

There are (x+6) beads. Because the average cost of the beads is $0.75, therefore

The solution for x may be obtained as follows:

0.5x + 7.5 = 0.75x + 4.5

-0.25x = -3

x = -3/-0.25 = 12

Answer:

The equation to find x is

(0.5x + 7.5) = 0.75(x + 6)