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The greatest amount of gold that can be in the vault is 0 ounces.

To find the greatest amount of gold that can be in the vault, we need to determine the maximum number of 8 ounce tablets that can be stored.

If the total weight of gold and silver is 130 ounces, we can subtract the weight of the silver from the total to get the weight of gold.

Since each silver tablet weighs 5 ounces, the weight of silver can be found by dividing the total weight by 5.

130 ounces ÷ 5 ounces = 26 tablets of silver

Now, to find the maximum number of 8 ounce tablets that can be stored, we divide the weight of gold by 8.

130 ounces - (26 tablets × 5 ounces) = 130 ounces - 130 ounces = 0 ounces of gold

Therefore, the greatest amount of gold that can be in the vault is 0 ounces.

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Yes, an angle in a right-angled triangle is always present.  Without any additional information about the triangle, it is impossible to determine the value of the angle in question.

In a right-angled triangle, one of the angles is a right angle, which measures 90 degrees. The other two angles in the triangle are acute angles and their measures always add up to 90 degrees.

To find the value of the angle in question, we need to know some additional information about the triangle. If we have the lengths of two sides of the triangle, we can use trigonometric ratios to find the measure of the angle.

For example, if we know the length of the side opposite the angle and the length of the hypotenuse (the longest side of the triangle), we can use the sine ratio to find the measure of the angle.

If we know the length of the side adjacent to the angle and the length of the hypotenuse, we can use the cosine ratio.

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Answer:

5×(w + 7) = 4

Step-by-step explanation:

w is the unknown number.

5 times something means multiply something 5 times.

a sum means adding things

so, the sum of a number and 7 is

w + 7

5 times that sum is then

5×(w + 7)

and that while thing is (equals) 4

5×(w + 7) = 4

by the way, solving that means

5w + 35 = 4

5w = -31

w = -31/5

Answer:

5(w + 7) = 4

Step-by-step explanation:

Do one part of the sentence at a time until you write the entire sentence as an equation.

"Five times the sum of a number and 7 is 4."

The problem tells us to use w for the number, so we write w below.

w

"Five times the sum of a number and 7 is 4."

Now we move on to the part dealing with the sum of the number and 7. A sum is an addition, so we add 7 to the number w.

w + 7

"Five times the sum of a number and 7 is 4."

Now we take care of the part dealing with product of 5 and the sum.

5(w + 7)

"Five times the sum of a number and 7 is 4."

The last part is dealing with the part "is 4". The word "is" very often means "equals", so the entire expression we wrote is equal to 4.

5(w + 7) = 4

Answer: 5(w + 7) = 4

Answer:

Step-by-step explanation:

Use the law of sines:

Find the missing angle:

Use the law of sines to find the length of b:

Answer:

t*16+b*12=how much money per week

Step-by-step explanation:

hope this helps

plz mark brainliest

To find the largest area you can enclose with a single-strand electric fence and m units of wire at your disposal, you need to optimize the dimensions of the rectangular plot.

Let's denote the length of the rectangular plot as L and the width as W. The perimeter of the plot can be calculated as P = L + 2W.

Since one side of the plot is already bounded by the river, we have L + W = m. Rearranging this equation, we get L = m - W.

To find the largest area, we need to maximize the function A = L * W. Substituting the value of L, we have A = (m - W) * W.

Expanding the equation, we have A = mW - W^2.

To find the maximum value of A, we take the derivative of A with respect to W and set it equal to zero: dA/dW = 0.

Differentiating, we get m - 2W = 0. Solving for W, we have W = m/2.

Substituting this value back into the equation for L, we have L = m/2.

Therefore, the dimensions of the largest area are L = m/2 and W = m/2.

To find the area, we substitute these values into the equation for A: A = (m/2) * (m/2) = m^2/4.

In conclusion, the largest area that can be enclosed is m^2/4, with dimensions L = m/2 and W = m/2.

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The values that a correlation r can possibly take are -1  ≤  r  ≤ 1. Thus, option C is correct as per the correlation relation.

Correlation is a statistical measurement that describes the extent to which two variables are linearly related to each other in positive and negative directions. The correlation coefficient is denoted by r.

The value of correlation r can range from -1 to 1. Here,

-1 indicates: a perfect negative correlation

0 indicates:  no linear correlation

1 indicates: a perfect positive correlation

Therefore, we can conclude that the values that a correlation r can possibly take are between -1 ≤ r ≤ 1.

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Answer:

The width equals 2x+3

Step-by-step explanation:

Area of a Rectangle = Length x Width

(2x² + 5x + 3) / (x + 1) = 2x + 3

(x + 1) × (2x + 3) = 2x² + 5x + 3

So the width is 2x + 3

The question is incomplete, the complete question is;

If in 0.5 min the tank gets 0.8 gallons of the water then

how many gallons will be in 1 min ?

how many gallons will be in 3 min?

and how long it takes for 40 gallons?

Answer:

1.6 gallons

4.8 gallons

25 mins

Step-by-step explanation:

This question has to do with proportion.

If it takes 0.5 mins for the tank to get 0.8 gallons

in 1 minute the tank will get 0.8 * 1/0.5 = 1.6 gallons

In 3 minutes the tank will get 3 * 1.6 gallons = 4.8 gallons

if it takes 1 min to get 1.6 gallons

it will take x mins to get 40 gallons

x = 1 * 40/1.6 = 25 mins

The number 5/8 as a decimal is 0.625

As we divide a whole into smaller parts, we get decimals. Hence, there are two parts to a decimal number: a whole number part and a fractional part. The whole component of a decimal number has the same decimal place value system as the complete number. After the decimal point, however, when we proceed to the right, we obtain the fractional portion of the decimal number.   

An informal way to read a decimal is to first read the whole number as you would any whole number, then the decimal point as "point," and finally each individual digit of the rational part.

the decimal of 5/8 is

5÷8 = 0.625

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1. The mean number of households that will have one or more cats is 15.

2. This means that getting 10 or fewer households with cats out of 50 is not extremely unusual, as there is a 5.3% chance of it happening by random chance alone.

The mean number of households that will have one or more cats can be calculated as:

Mean = (30/100) x 50 = 15

Therefore, the mean number of households that will have one or more cats is 15.

The standard deviation can be calculated using the formula:

Standard deviation = \(\sqrt{(npq)}\)

where n is the sample size (50), p is the probability of success (30/100 = 0.3), and q is the probability of failure (1 - p = 0.7).

Standard deviation = sqrt(50 x 0.3 x 0.7) = 3.08

Rounding to 1 decimal place, the standard deviation is 3.1.

If 10 of the 50 random households had one or more cats, we can calculate the z-score as:

z = (x - μ) / σ

where x is the observed number of households with cats (10), μ is the mean (15), and σ is the standard deviation (3.1).

z = (10 - 15) / 3.1 = -1.61

Looking up the z-score in a standard normal distribution table, we find that the probability of getting a z-score of -1.61 or lower is 0.053.

This means that getting 10 or fewer households with cats out of 50 is not extremely unusual, as there is a 5.3% chance of it happening by random chance alone.

However, it is somewhat lower than the expected value of 15, which suggests that the sample may not be fully representative of the population.

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Answer:

75

Step-by-step explanation:

1/3 * 5² * 9 = V

1/3 * 25 * 9

= 75

The appropriate percentages for the Extremely Patriotic group are 19.42% in 1999 and 32.27% in 2010, corresponding to option d: 193/994 compared to 324/1004.

To calculate the appropriate percentages for the Extremely Patriotic group, we need to compare the counts from the 1999 and 2010 samples.

In 1999:

Number of Extremely Patriotic responses: 193

Total number of respondents: 994

In 2010:

Number of Extremely Patriotic responses: 324

Total number of respondents: 1004

Now we can calculate the percentages:

Percentage for 1999: (193 / 994) × 100 = 19.42%

Percentage for 2010: (324 / 1004) × 100 = 32.27%

Therefore, the appropriate percentages as part of the exploratory data analysis for the Extremely Patriotic group are:

19.42% compared to 32.27% (option d: 193/994 compared to 324/1004).

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Answer: \(3^{9}\)

Explanation:

When the base is the same and the terms are being divided, you subtract the exponents and leave the base as it is:

12 - 3 = 9

\(3^{9}\)

The steps to evaluate an exponential expression include:

First, you need to identify the base which is the number being raised to a power, and the exponent is the power to which the base is being raised. Then replace this base with the value that is needed to be used.

Use this exponent such that you can find out the number of times the base will multiply itself and then do the multiplication and simplify the expression.

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Answer:

B. 7 zebra fish, 8 neon tetras

Step by step explanation:

First let's do process of elimination.

X A) 8 x 2.20 = 17.6, 7 x 1.80 = 12.6, 17.6 + 12.6 = 30.2

✔ B) 7 x 2.20 = 15.4, 8 x 1.80 = 14.4, 15.4 + 14.4 = 29.8

X C) 6 x 2.20 = 13.2, 9 x 1.8 = 16.2, 13.2 + 16.2 = 29.4

X D) 9 x 2.20 = 19.8, 6 x 1.8 = 10.8, 10.8 + 19.8 = 30.6

Given:

The relation is

\(M = \{ (15k+9, 4), (3\cdot (4k-1), 6) \}\)

To find:

The value of k for which the relation is not a function.

Solution:

A relation is a function if their exist a unique output or y value for each input or x values.

A relation is not a function if it has two y-values for single x value.

So, the given relation is not a function if x-coordinates of both ordered pairs are equal.

\(15k+9=3\cdot (4k-1)\)

\(15k+9=12k-3\)

Isolate variable terms.

\(15k-12k=-9-3\)

\(3k=-12\)

Divide both sides by 3.

\(k=-4\)

Therefore, the given relation is not a function for k=-4.

A unit of analysis is simply the entity being studied.

These are usually individuals, but in Dr. Lintz's case, they are the  state legislature. Variables capture information about  actual legislatures, not the individuals that make up those bodies.

The US State Congress is the legislative branch of the 50 states of the United States. The official name varies from state to state. Twenty-seven states call the legislature  simply  the legislature or state legislature, and 19 states call the legislature  the General Assembly.

In Massachusetts and New Hampshire, the legislature is called the General Court, and in North Dakota and Oregon, the legislative branch is called the Legislature.

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Answer:

Step-by-step explanation:

Oh then you just multiply it

36.99 or 37 rounded, 184.99 x .20 gets you the answer, basic maths

(28.-5.199-2.)228

Subtract 5.199 out of 28 to get 22.801

(28.-5.199-2.) * 228

Subtract 2 of 22.801 to get 20.801

20.80 1 * 228

Multiply 20.801 and 228 to get 4742.628

4742.628

3*11*19*31*61/2*5^3 = 4742 157/250 = 4742.628

The area of the paperboard that remains is 613.92 square inches.

To find the area of the paperboard that remains after a semicircle is cut out, we need to calculate the area of the rectangular paperboard and subtract the area of the semicircle.

The rectangular paperboard has dimensions of 35 inches long and 24 inches wide. Therefore, the area of the rectangular paperboard is:

Area_rectangular = length * width = 35 in * 24 in = 840 in²

Now, let's calculate the area of the semicircle. The semicircle is cut out of the rectangular paperboard, and the diameter of the semicircle is equal to the width of the rectangular paperboard (24 inches).

The formula to calculate the area of a semicircle is:

Area semicircle = (π * r²) / 2

where r is the radius of the semicircle.

Since the diameter of the semicircle is 24 inches, the radius is half of that, which is 12 inches.

Plugging in the values into the formula, we get:

Area_semicircle = (3.14 * 12²) / 2 = (3.14 * 144) / 2 = 226.08 in²

Finally, to find the area of the paperboard that remains, we subtract the area of the semicircle from the area of the rectangular paperboard:

Area remaining = Area rectangular - Area semicircle = 840 in² - 226.08 in² = 613.92 in²

Therefore, the area of the paperboard that remains is 613.92 square inches.

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There is a 0.022 percent chance that a student may receive a quiz grade of 95 or above.

The z-score formula is as follows:

z = (95-85)/8.0

= 1.25

Using the z-score table, calculate the probability:

P(z >= 1.25)

= 0.022

The z-score formula can be used to determine the likelihood that a student would receive a quiz grade of 95 or higher. The data set's mean and standard deviation are considered in the formula. The mean score on the quiz in this instance is 85, and the standard deviation is 8.0. By deducting the mean from the desired score (95), the z-score can be computed by dividing the result by the standard deviation (8.0). The z-score in this instance is 1.25.  The likelihood that a student will receive a quiz grade of 95 or higher can be determined using the z-score table. The likelihood of a z-score of 1.25 or higher is 0.022, according to the table. This indicates that there is a 0.022 percent chance that a student will receive a quiz grade of 95 or above.

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Step-by-step explanation:

y = mx + b

\( \frac{2}{3} = ( - 1)( - 1) + b\)

\( \frac{2}{3} - 1 = b\)

\( \frac{2}{3} - \frac{3}{3} = b\)

\( - \frac{1}{3} = b\)

Answer:

The next step would be to multiply your slope by your x value.

Step-by-step explanation:

The overall answer would is b=-1/3

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Statistics are used to make inferences about certain population parameters through the analysis and interpretation of data collected from samples. In statistical analysis, a sample is a subset of individuals or observations selected from a larger population. By studying the characteristics and relationships within the sample, statisticians can draw conclusions or make predictions about the corresponding population.

The goal of using statistics is to gain insights into population parameters that are often unknown or impractical to measure directly. Population parameters, such as means, proportions, variances, and correlations, describe specific characteristics of the entire population of interest. However, due to limitations in time, resources, and feasibility, it is often not possible to collect data from the entire population. Instead, statisticians collect data from a representative sample and use statistical techniques to estimate and infer population parameters.

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According to the given vertices, we can observe that they were transformed, where the factor of dilation is 3/4 about point E beacuse its x-coordinate didn't variate.

To find the scale factor, we just divide 6/8, which is equivalent to 3/4.

Answer:

It would be 6.8

Answer:

6,820

Step-by-step explanation:

round from the tens place digit.

        round to the next ten.