the graph below shows the relation of the number of hay bales to wagon loads. how many bales of hay can be delivered in 8 wagon loads?

Answer:

a=6 b=4 3=2.55555555567

The probability that the sum of both rolls is at least 9 is 2/36.

Probability is the chance that a given event will occur.  the ratio of the number of outcomes in an exhaustive set of equally likely outcomes that produce a given event to the total number of possible outcomes.

Given:

Total sample spaces: 36.

Number on one dice: 6

For sum of both rolls to be 9 , the only possible way is (6,3)(3,6)

Using probability formula,

Thus The probability that the sum of both rolls is at least 9 is 2/36.

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Answer:

-24

Step-by-step explanation:

Exponents go first. 4^2=16. 2^3=8. Next multiplication. 5*8=40. Now subtraction. 16-40=-24

Answer:

Step-by-step explanation:

The root which is 2 is the fractional portion of your exponent

\(\sqrt{x^{7} y^{12} }\)

=\((x^{7} y^{12} )^{\frac{1}{2} }\)              >You can distribute 1/2 to each term by multiplying

\(=x^{\frac{7}{2} } y^{6\)

Answer: \(y \geq 1\)

Step-by-step explanation:

The range of a function is the set of y-values.

The budgets of Hong Kong, the United States of America, and Korea differ in contents, formats, advantages, and disadvantages. While each budget has its strengths and weaknesses, they all aim to provide a clear and transparent financial plan for their respective countries.

A budget is a financial plan that estimates expected income and expenditure for a specific period. It may include income, expenses, debts, and savings. Budgets may vary from country to country and can be analyzed by comparing their contents, formats, advantages, and disadvantages. Here are the budgets of Hong Kong, the United States of America, and Korea:

United States Budget:

Korean Budget:

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Answer:

\(6\frac{13}{28}\)

Step-by-step explanation:

Add:

-Chetan K

By talking to his baby sister differently from the way he speaks to his teacher, this shows that he is developing an understanding of pragmatics.

This can be used to explain the part of linguistics that has to do with the use of language in its given context.

The use of pragmatics comes up in conversations, and implications of what is being said.

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The claim made by the maker of one of the video games is not supported by the given confidence interval. The interval (1.5, 3.8) represents the estimated difference in the mean number of hours per week spent playing the two games.

To determine whether the claim is supported or not, we need to examine the interval. Option A states that the claim is supported because 0 is not contained in the interval. However, the interval (-∞, ∞) contains all possible values, including 0. Therefore, option A is incorrect.

Option B, which mentions the midpoint of the interval being greater than 1, is not a valid criterion for evaluating the claim. The midpoint of the interval does not provide any information about the claim itself. Hence, option B is incorrect.

Option C suggests that the claim is supported because the margin of error for the estimate is less than 1. However, the margin of error is not provided in the question. Therefore, option C cannot be determined based on the given information.

Option D states that the margin of error for the estimate is greater than 1, but the margin of error is not given. Without this information, we cannot evaluate option D.

The correct answer is option E: No, because 0 is not contained in the interval. A confidence interval that does not contain 0 suggests that there is a statistically significant difference in the mean number of hours per week spent playing the two games.

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Answer:

Yes

NEED EXPLINATION PLEASE COMMENT BELLOW

Answer:

yes 4/3 is equivalent to 8/6

Step-by-step explanation:

8/6 divided both the numerator and the denominator by 2 you get 4/3.thus 8/6 is equivalent to 4/3

Answer

A $15

Step-by-step explanation: Babyton my name

Answer:

\(X - 6 \leq\ 52\)

Step-by-step explanation:

Six subtracted from a number is written as a number (x, or any other variable) - 6. At most means the maximum amount it could be is 52, so a greater than or less than sign wouldn’t do. It would have to be a less than or equal to sign because you are saying AT MOST.  Lastly, there is a 52 at the end to represent what the expression would equal! Hope it helps! (:

To find the subtransient current in per unit for a three-phase fault on bus 4, we need to calculate the fault current using the bus impedance matrix.

Given bus impedance matrix Zbus:

| j0.15 j0.08 j0.04 j0.07 |

| j0.08 j0.15 j0.06 j0.09 |

| j0.04 j0.06 j0.13 j0.05 |

| j0.07 j0.09 j0.05 j0.12 |

To find the fault current on bus 4, we need to find the inverse of the Zbus matrix and multiply it by the pre-fault voltage vector.

The pre-fault voltage vector V_pre-fault is given as:

| 1.0/0° |

| 1.0/0° |

| 1.0/0° |

| 1.0/0° |

Let's calculate the inverse of the Zbus matrix:

Zbus_inverse = inv(Zbus)

Now, we can calculate the fault current using the formula:

I_fault = Zbus_inverse * V_pre-fault

Calculating the fault current, we have:

I_fault = Zbus_inverse * V_pre-fault

Substituting the values and calculating the product, we get:

I_fault = Zbus_inverse * V_pre-fault

= Zbus_inverse * | 1.0/0° |

| 1.0/0° |

| 1.0/0° |

| 1.0/0° |

Please provide the values of the Zbus matrix and the pre-fault voltage vector to obtain the specific values for the fault current and the per-unit current from generator 2.

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The values of the sides are;

41. x = 18√3. Option D

42. x = 6√3. Option A

Using the different trigonometric identities, we have;

41. Using the tangent identity, we have;

tan 60 = 9√2/y

cross multiply the values

y =9√2 ×√3

y = 9√6

Using the sine identity;

sin 45 = y/x

1/√2 = 9√6/x

cross multiply the values, we have;

x = 9√2 ×√3 ×√2

x = 18√3

42. Using the cosine identity

cos 60 = 3√3 /x

cross multiply, we have;

x = 6√3

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The appropriate statistical test to use is the two-sample t-test. This test compares the means of two independent samples and determines if there is a significant difference between them.

In this scenario, the goal is to compare the mean amount of money spent on food for two groups: students who live on campus and students who live off campus. Since the two groups are independent of each other, the two-sample t-test is the appropriate choice.

The two-sample t-test compares the means of the two groups and calculates a t-statistic and a p-value. The t-statistic measures the difference between the means relative to the variability within each group, while the p-value indicates the probability of observing such a difference by chance alone.

By conducting a two-sample t-test on the collected data from the random samples of 40 students from each group, we can determine if there is evidence of a significant difference in the mean amount of money spent on food between the two groups. The null hypothesis assumes that there is no difference between the means, while the alternative hypothesis suggests that there is a significant difference. The p-value obtained from the test will determine if there is sufficient evidence to reject the null hypothesis and conclude that there is a difference in the mean amount spent on food between the two groups.

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Answer:

Step-by-step explanation:

Correct option is the first one

The equation of the line that satisfies the given condition is:

y = mx + b

In the equation y = mx + b, 'y' represents the dependent variable (usually the output or the value we want to find), 'x' represents the independent variable (usually the input or the value we can control), 'm' represents the slope of the line (indicating the rate of change of y with respect to x), and 'b' represents the y-intercept (the value of y when x is equal to zero).

To find the equation of a line that satisfies a given condition, we need to determine the values of 'm' and 'b' based on the information provided. The condition could be in the form of coordinates of a point on the line, the slope of the line, or any other relevant information.

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Answer:

A, E, F, G

Step-by-step explanation:

The picture below represents a parabolic arc.

An example can be an object being thrown up in the air then then coming back down.

Answer:

Blank 1) 1 pound of raisins

Blank 2) 2.25 pounds of raisins

Blank 3) 1.2 pounds of almonds

Blank4) 1.4 pounds of almonds

The long jump pit was recently rebuilt to make it level with the runway.  the amount of wood, in meters, is 12.29 meters.

Generally, To determine the amount of wood needed in meters, you will need to convert the length of each piece of wood from feet to meters. You can use the conversion factor that 1 foot is equal to approximately 0.3048 meters.

To convert the length of the wood from feet to meters, you can use the formula:

length in meters = length in feet * 0.3048

Using this formula, you can calculate that 2.75 meters is equal to approximately 9 feet, and 9.54 meters is equal to approximately 31.25 feet.

Therefore, the total amount of wood needed in meters is 2.75 meters + 9.54 meters = 12.29 meters.

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The time the mechanic is away from the shop is 2 hours.

To find the time the mechanic is away from the shop, we need to know either the distance of the round trip or the speed of the mechanic on one of the legs of the trip.

For example, if we know that the distance of the round trip is 30 miles, we can use the formula:

time = distance / speed

where speed is the average speed for the round trip, which is given as 15 miles per hour.

So, the time the mechanic is away from the shop would be:

time = 30 miles / 15 miles per hour = 2 hours

But without knowing the distance of the round trip or the speed of the mechanic on one of the legs of the trip, we cannot calculate the time the mechanic is away from the shop.

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Answer:hope this helps

Step-by-step explanation:

It’s on the imagen

Answer:

Y= 3x/4+5                             X= 4y/3-20/3

Step-by-step explanation:

For Y divide each term by 5 and simplify.

For X solve for x by simplifying both sides of the equation, then isolating the variable.

Answer:

6

Step-by-step explanation:

15 = 5/2x

15 = 5x/2

30 = 5x

x = 6

Answer:

Solve for √3−2x.

√3−2x=4√x

To remove the radical on the left side of the equation, square both sides of the equation.

√3−2x²=(4√x)²

Simplify each side of the equation.

3−2x=16x

Solve for x.

=> x=16

Step-by-step explanation:

Answer:

x = \(\frac{1}{6}\)

Step-by-step explanation:

Given

\(\frac{\sqrt{3-2x} }{\sqrt{4x} }\) = 2 ( square both sides )

\(\frac{3-2x}{4x}\) = 4 ( multiply both sides by 4x )

3 - 2x = 16x ( add 2x to both sides )

3 = 18x ( divide both sides by 18 )

\(\frac{3}{18}\) = x , that is

x = \(\frac{1}{6}\)

Answer: 56

Step-by-step explanation: Divide 42 by 3 and then multiply by 4

n should be a whole number, we round up to the nearest integer, giving n = 540. Therefore, if Russel wants 0.99 certainty, n should be at least 540.

To determine how large n should be in order to have a certain level of certainty about the true probability p, we can use the concept of confidence intervals.

For a binomial distribution, the estimate of the probability p is X/n, where X is the number of successes (in this case, the number of times tails is obtained) and n is the number of trials (the number of times the coin is flipped).

To find the confidence interval, we need to consider the standard error of the estimate. For a binomial distribution, the standard error is given by:

SE = sqrt(p(1-p)/n)

Since p is unknown, we can use a conservative estimate by assuming p = 0.5, which gives us the maximum standard error. So, SE = sqrt(0.5(1-0.5)/n) = sqrt(0.25/n) = 0.5/sqrt(n).

To ensure that the true p is within 0.1 of the estimate X/n with at least 0.95 certainty, we can set up the following inequality:

|p - X/n| ≤ 0.1

This inequality represents the desired margin of error. Rearranging the inequality, we have:

-0.1 ≤ p - X/n ≤ 0.1

Since p is unknown, we can replace it with X/n to get:

-0.1 ≤ X/n - X/n ≤ 0.1

Simplifying, we have:

-0.1 ≤ 0 ≤ 0.1

Since 0 is within the range [-0.1, 0.1], we can say that the estimate X/n with a margin of error of 0.1 includes the true probability p with at least 0.95 certainty.

To find the value of n, we can set the margin of error equal to the standard error and solve for n:

0.1 = 0.5/sqrt(n)

Squaring both sides and rearranging, we get:

n = (0.5/0.1)^2 = 25

Therefore, n should be at least 25 to know with at least 0.95 certainty that the true p is within 0.1 of the estimate X/n.

If Russel wants 0.99 certainty, we need to find the value of n such that the margin of error is within 0.1:

0.1 = 2.33/sqrt(n)

Squaring both sides and rearranging, we get:

n = (2.33/0.1)^2 = 539.99

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Answer: I think it's 9

Step-by-step explanation:

Answer:

t = 8

Step-by-step explanation:

The sum of the three interior angles of a triangle is always 180 degrees.  Thus, we can add up the three angles and set the sum equal to 180 degrees:

6t + t + 36 + 11t = 180

This simplifies to 18t + 36 = 180, or 18t = 144.

Solving for t results in t = 8