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Answer: t-8 < -12

Step-by-step explanation:

\( \huge {\sf {{x}^{3} - 125 = 0}} \)

The root of the equation.

By adding 125 to both the sides, we get

\( \huge {\sf { {x}^{3} = 125}} \)

Take cube to the RHS (Right Hand Side), we get

\( \huge {\sf { x = 5}}\)

The solution to the expression is x = 5.

We have,

Expression:

x³ - 125 = 0

This can be written as,

x³ = 125

Now,

Cube of 5:

5³ = 5 x 5 x 5 = 125

Now,

x³ = 5³

Cube cancels out on both sides.

x = 5

Thus,

The solution to the expression is x = 5.

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Answer:

1.B,C,D

2.A,D,E

I don't really know how to explain it to you but thats your answer :D

The number of possible king-queen pairs can be determined by multiplying the number of candidates for king by the number of candidates for queen.

To calculate the number of king-queen pairs, we multiply the number of candidates for king by the number of candidates for queen. In this case, there are four candidates for homecoming queen and three candidates for king. Therefore, the total number of king-queen pairs would be 4 multiplied by 3, which equals 12.

Each candidate for king can be paired with each candidate for queen, resulting in multiple possible combinations. By multiplying the number of candidates for each position, we account for all possible pairings. In this scenario, there are three potential kings and four potential queens. For each king, there are four possible queens he can be paired with. Since there are three kings, we multiply 3 by 4 to get the total number of 12 king-queen pairs.

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There are 210 sequences for 7 church bells to rung with the given conditions. Using permutations, the required number of sequences is calculated.

A sequence or arrangement that can be framed by taking some or all of a finite set of things (or objects) is called a permutation.

The formula for finding the number of such arrangements is,

ⁿPₓ = n!/(n - x)!

It is given that, a church's bell tower has 7 bells. 3 of them will ring in a sequence before each service and no bell is rung more than once.

So, the number of sequences that the bells will form is calculated by using the permutations formula. I.e., ⁿPₓ = n!/(n - x)!

Here, n = 7; x = 3

Then,

ⁿPₓ = n!/(n - x)! ⇒ ⁷P₃ = 7!/(7 - 3)! = 7!/4!

⇒ ⁷P₃ = (7 × 6 × 5 × 4!)/4! = 7 × 6 × 5 = 210

Therefore, there are 210 sequences for ringing the bells.

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Answer:

.....

..

Step-by-step explanation:

umm.

ok free points if

Using the information provided in the table, The total holding cost is  $547.50, the total setup cost is $600 and the total cost is  $1,147.50.

To develop a POQ (Periodic Order Quantity) solution use a lot-for-lot solution, which means that we will order exactly what we need for each period.

The missing values can be found on the attached table.

From the table, the total holding cost which is the sum of the holding costs for all periods is $547.50 while the total setup cost which is the sum of the setup costs for all periods is $600.

Therefore, the total cost is the sum of the holding cost and the setup cost and it is calculated as $1,147.50.

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Answer:

2x+3y+5=0

a = 2  b = 3  c=5

Step-by-step explanation:

We are asked to express 2x+3y=-5 in the form ax+by+c=0

Add 5 to both sides

2x+3y+5=0

We can now find the values of a, b and c now that the equation is in standard form.

The perimeter of the Christian's sandbox is 24 feet.

The given two quadrialterals are similar

Let us find the remaining lengths of Christian's sandbox

By proportional equation

36/8=18/x=27/y=18/z

4.5=18/x=27/y=18/z

x=18/4.5 = 4

y=27/4.5 = 6

z=4

The perimeter is sum of all the sides

So perimeter of Christian's sandbox is 8+6+4+4

24 feet

Hence, the perimeter of the Christian's sandbox is 24 feet.

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48.5 feet

1) Sketching this we have:

2) As the point here is how much string was left out, then let's use a trigonometric ratio to find out that hypotenuse since height is always perpendicular (90º with the ground).

3) Hence, that kite's string is 48.5 feet long

Answer:

-2

Step-by-step explanation:

Answer:

Start at 10 and do rise over run. Rise over how many numbers (spaces) and run over how many plots.

Answer:

you will only pay one dollar I did this question before, and it was easy Please mark me brainiest please

Step-by-step explanation:

The resulting confidence interval will give you the range of values within which the true slope of the line is likely to fall, with a 90% level of confidence.

To find a 90% confidence interval for the slope of the true line describing the association between Math and Verbal scores, we would need to conduct a regression analysis on the data. This would allow us to estimate the slope of the line and calculate a confidence interval around that estimate.

Assuming that we have already conducted the analysis and obtained the necessary statistics, let's say that our estimate for the slope is 0.8 with a standard error of 0.2. Using a t-distribution with n-2 degrees of freedom (where n is the sample size), we can calculate a 90% confidence interval around our estimate by multiplying the standard error by the appropriate t-value (in this case, 1.645) and adding and subtracting the resulting value from our estimate.

Thus, our 90% confidence interval for the slope would be (0.8 - (1.645*0.2), 0.8 + (1.645*0.2)) = (0.452, 1.148). This means that we can be 90% confident that the true slope of the line describing the association between Math and Verbal scores falls somewhere within this interval.

In this context, our confidence interval tells us how uncertain we are about the true relationship between Math and Verbal scores. Specifically, it tells us that there is a 90% chance that the true slope of the line falls within the range of 0.452 to 1.148. This means that we cannot be absolutely certain about the direction or strength of the relationship between these two variables, but we can be reasonably confident that it falls within this range.

a) To find a 90% confidence interval for the slope of the true line describing the association between Math and Verbal scores, follow these steps:

Step 1: Obtain the data for both Math and Verbal SAT scores.

Step 2: Perform a linear regression analysis to obtain the sample slope (b) and its standard error (SE).

Step 3: Determine the critical value (t) for the 90% confidence level. This can be found using a t-table or a calculator with the appropriate degrees of freedom (n-2, where n is the number of data points).

Step 4: Calculate the margin of error by multiplying the standard error (SE) by the critical value (t).

Step 5: Create the confidence interval by adding and subtracting the margin of error from the sample slope (b).

The resulting confidence interval will give you the range of values within which the true slope of the line is likely to fall, with a 90% level of confidence.

b) In this context, the 90% confidence interval for the slope means that we are 90% confident that the true slope of the line describing the association between Math and Verbal scores falls within the calculated range. This gives us an indication of the strength and direction of the relationship between the two variables. If the interval contains only positive values, it suggests a positive association between the scores; if it contains only negative values, it suggests a negative association; and if it includes zero, we cannot conclude that there is a significant association between Math and Verbal scores at the 90% confidence level.

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Answer:

y = 60

Step-by-step explanation:

Given

22 + 54 = y + 16 , that is

76 = y + 16 ( subtract 16 from both sides )

60 = y

Answer: y=60

Step-by-step explanation:

Answer:

C. The late fee per day for the book

Step-by-step explanation:

“ The library charged a fixed rental for the book and a late fee for every day the book was overdue.”

Answer:

C

Step-by-step explanation:

the problem says there is a late fee for every day the book is overdue, 'x' represents the days, so multiplying the two together filling in 'x' would give you the total late fee amount.

Identify the predictor and response variables, then create a scatterplot in Minitab. Characterize the association between the variables as linear or nonlinear and negative, none, or positive.

In exploratory data analysis, the first step is to identify the research question and the two variables of interest. The predictor variable (also known as the explanatory variable or independent variable) is the one that is used to explain or predict the outcome of the response variable (also known as the dependent variable).

After identifying the two variables, one can use software such as Minitab to create a scatterplot of the data. The scatterplot helps to visualize the relationship between the two variables.

To characterize the association between the two variables, we would first determine if the relationship appears to be linear or nonlinear. If the relationship is roughly linear, we would then determine if it is negative (meaning that as one variable increases, the other tends to decrease), positive (meaning that as one variable increases, the other tends to increase), or none (meaning that there is no clear trend).

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we would need a sample size of at least 502 for the approximate probability of the random interval (Y1/n - Y2/n) ‡ 0.05 covering pi - p2 to be at least 0.80.

To compute n, we can use the formula:
n = ((zα/2)^2 * 2p*(1-p*)) / (ε^2)
Where zα/2 is the z-score associated with a confidence level of 1-α, p* is the probability of success for a binomial distribution, and ε is the margin of error.
Since we are given that the approximate probability of the random interval (Y1/n - Y2/n) ‡ 0.05 covering pi - p2 is at least 0.80, we can set α = 0.20 to find the corresponding z-score of 1.28.
Using p* = 1/2 as an upper bound for both P1 and P2, we can calculate the margin of error as:
ε = zα/2 * sqrt((p*(1-p*)) / n)
Plugging in the values, we get:
0.05 = 1.28 * sqrt((0.25) / n)
Solving for n, we get:
n = 501.76
Therefore, we would need a sample size of at least 502 for the approximate probability of the random interval (Y1/n - Y2/n) ‡ 0.05 covering pi - p2 to be at least 0.80.

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The graph representing the association will be a negative linear association. Then the correct option is C.

The form, direction, confidence, and outliers of an association (relationship) between two quantitative variables can be used to describe it. • A positive association exists when one variable increases as the other dependent variable.

There is no boundary and all the dots are widely dispersed if there is no association. Variational individuals who are part that the dots are close together but not in a straight line.

From the graph, the slope of the best line will be negative.

The graph representing the association will be a negative linear association. Then the correct option is C.

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The statement "the expected value of an unbiased estimator is equal to the parameter whose value is being estimated" is true.

An estimator is a function of the sample data used to estimate the value of a population parameter. An estimator is said to be unbiased if its expected value is equal to the true value of the population parameter. In other words, if we were to repeatedly take samples from the population and calculate the estimator for each sample, the average value of the estimator over all the samples would be equal to the true value of the population parameter. The expected value of an unbiased estimator is a key property because it ensures that the estimator is not systematically overestimating or underestimating the population parameter. Instead, the estimator provides an unbiased estimate of the population parameter on average across all possible samples. It is important to note that not all estimators are unbiased. Biased estimators may systematically overestimate or underestimate the population parameter, leading to incorrect conclusions. Therefore, unbiasedness is a desirable property for an estimator to have.

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Answer:

Step-by-step explanation:

x2+1+2 x)(x2+1−2 x)(x2+1)(x+1)(x−1)

The value of the composite function (f○g)(0), where, f(x) is a linear function with a slope of 2 and a y-intercept of -1, and the function g(x) has the shape of a parabola is (f○g)(x) = 3

A composite function, h, is a function that is produced by two functions, f, and g as follows; (f○g)(x) = f(g(x) = h(x).

The linear function f(x), with a slope of 2 and a y-intercept of -1 is; y = 2·x - 1

The graph of the function g(x) is a parabola, indicating that g(x) is a quadratic function.

The composite function (f○g)(0) = f(g(0))

The graph indicates that g(0) = 2, therefore;

(f○g)(0) = f(g(0)) = f(2) = 3

The graph of the functions indicates that (f○g)(0) = 3

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Answer:

4

Step-by-step explanation:

The ratio is 2 H for 1 O. So, since there is 8 H, there will be half the amount of O atoms or 4 O atoms.

Based on the formula of the quadratic function y=-x^2+6x-5, we know that its graph is a downward-facing parabola that opens wide, with a vertex at (3,-14), and an axis of symmetry at x=3.

Based on the formula of the quadratic function y=-x^2+6x-5, we can determine several properties of its graph, including its shape, vertex, and axis of symmetry.

First, the negative coefficient of the x-squared term (-1) tells us that the graph will be a downward-facing parabola. The leading coefficient also tells us whether the parabola is narrow or wide. Since the coefficient is -1, the parabola will be wide.

Next, we can find the vertex using the formula:

Vertex = (-b/2a, f(-b/2a))

where a is the coefficient of the x-squared term, b is the coefficient of the x term, and f(x) is the quadratic function. Plugging in the values for our function, we get:

Vertex = (-b/2a, f(-b/2a))

= (-6/(2*-1), f(6/(2*-1)))

= (3, -14)

So the vertex of the parabola is at the point (3,-14).

Finally, we know that the axis of symmetry is a vertical line passing through the vertex. In this case, it is the line x=3.

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Answer:

Step-by-step explanation:

The corner of a rectangle must be 90 degrees. 2x-10=90, x=50.