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Answer:

504 cm squared

Step-by-step explanation:

14 * 14 = 196

14 / 2 = 7

7 * 11 = 77

77 * 4 = 308

308 + 196 = 504

504

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y = 3/5x -1

3/5 is rise/run (slope) and -1 is the y-intercept

Answer:

It looks like the Bears have the higher wins, as they won 40 games while the Bulls won only 32 games.

Answer:

decimal is the number system of 10base .

Answer:

yes, it is.

Step-by-step explanation:

110,571 divided by 3 is 36857. So, since the answer is not a decimal or a fraction, 110,571 is divisable by 3

Answer:

7.21

Step-by-step explanation:

There is a formula to find the area of a side of a rhombus given 2 diagonals.

It is:  \(\frac{\sqrt{p^{2}+q^{2} } }{2}\)

64 + 144 = 208

\(\sqrt{208}\) = 14.42

14.42 / 2 =

7.21

Answer:

\(\sf \dfrac{3}{{z-3} }\)

Explanation:

\(\Longrightarrow \sf \dfrac{1}{z} \div \dfrac{z-3}{3z}\)

apply the theorem when \(\dfrac{a}{b} \div \dfrac{c}{d}\) then \(\dfrac{a}{b} \times \dfrac{d}{c}\)

\(\Longrightarrow \sf \dfrac{1}{z} \times \dfrac{3z}{z-3}\)

Join the fractions

\(\Longrightarrow \sf \dfrac{3z}{z({z-3)} }\)

Cancel out common factor z

\(\Longrightarrow \sf \dfrac{3}{{z-3} }\)

The answer is : \(\boxed {\frac{3}{z-3}}\)

Remember that dividing fractions is the same as multiplying the 1st fraction by the reciprocal of the other.

\(\mathsf {\frac{1}{z} \div \frac{z-3}{3z}}\)

\(\mathsf {\frac{1}{z} \times \frac{3z}{z - 3}}\)

\(\mathsf {\frac{3}{z-3}}\)

Answer: x=-3

Step-by-step explanation:

2(x)-39=5(x+2x)

2x-39=5(3x)

2x-39=15x

-39=13x

-39/13=-3

The correct comparison is √11 < 5.4, Ross's error is √11 ≠ 5.5

Comparing numbers in math is defined as a process or method in which one can determine whether a number is smaller, greater, or equal to another number according to their values.

Given that, Ross is comparing the square root of 11 and 5.4. He says that the square root of 11 > 5.4 because the square root of 11 = 5.5.

We need to find the correct comparison and the error he made,

So,

√11 = 3.3

Therefore,

√11 < 5.5

Since, Ross was saying √11 = 5.4, so he was wrong here.

Hence, the correct comparison is √11 < 5.4, Ross's error is √11 ≠ 5.5

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Answer:

Explanation:

Given the line:

3x - 2y = 1

Significant zeros are zeros that contribute to the precision of a number, while nonsignificant zeros are placeholders or indicate the magnitude of a number.

Significant zeros are zeros that are considered significant and contribute to the precision of a number. They are located between nonzero digits or at the end of a number with a decimal point.

For example:

In the number 4,503, the zeros between 4 and 3 are significant.

In the number 0.00856, the zeros after the decimal point and before the 8 are significant.

Nonsignificant zeros, on the other hand, are zeros that do not contribute to the precision of a number and are used for placeholders or to indicate the magnitude of a number. They are typically located at the beginning or end of a number without a decimal point. Examples include:

In the number 0420, the zero at the beginning is nonsignificant.

In the number 0.003, the zeros before the decimal point is nonsignificant and serve as placeholders.

It's important to note that the significance of zeros can vary depending on the context and the rules of significant figures or decimal places being used in a specific calculation or measurement.

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To solve questions involving standard normal distribution. A distribution describes how frequently each possible outcome of an event occurs in a sample or population and can be represented by a graph, a formula, or a table of values.

a. To find P(Z < -2.51 or Z > 1.76), you need to calculate the individual probabilities and then add them together.

Step 1: Find P(Z < -2.51)
Using a standard normal distribution table or calculator, look for the probability associated with Z = -2.51. You will find P(Z < -2.51) ≈ 0.0062.

Step 2: Find P(Z > 1.76)
Since the normal distribution is symmetric, P(Z > 1.76) = P(Z < -1.76). Using the standard normal distribution table, look for the probability associated with Z = -1.76. You will find P(Z < -1.76) ≈ 0.0392.

Step 3: Add the probabilities together
P(Z < -2.51 or Z > 1.76) = P(Z < -2.51) + P(Z > 1.76) ≈ 0.0062 + 0.0392 = 0.0454.

b. To find P(Z < 1.76 or Z > -2.51), note that this covers the entire range of the distribution. Thus, the probability is equal to 1.

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it may be permissible to proceed with a hypothesis test even if the assumption of random participant selection is violated, under the conditions of known and accounted for non-random selection or random assignment to treatment groups

Random participant selection is an important assumption in hypothesis testing, as it helps ensure the generalizability of the results to the target population. However, in some situations, it may be impractical or impossible to achieve perfect random selection. In such cases, there are a few conditions under which it may still be permissible to proceed with a hypothesis test despite the violation of this assumption:

Non-random selection is known and accounted for: If the non-random selection process is well-documented and understood, researchers can adjust their analysis or statistical methods to account for potential biases introduced by the non-random selection.

Random assignment to treatment groups: Even if participants are not randomly selected, random assignment to different treatment groups can help mitigate the impact of non-random selection. By randomly assigning participants to treatment groups, the effects of non-random selection are distributed evenly across the groups, allowing for valid comparisons and hypothesis testing.

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Answer:

see below

Step-by-step explanation:

You distribute the four

so 4x-p

then 4x-6

4x-p= -4p

4x-6=-24

-4p-24 is your answer

The initial value of the function f(s) = 4(s+25) / s(s+10) at t = 0 is 4 (option b).

The initial value of a function is the value it takes when the independent variable (in this case, 's') is set to its initial value (in this case, 0). To find the initial value, we substitute s = 0 into the given function and simplify the expression.

Plugging in s = 0, we get:

f(0) = 4(0+25) / 0(0+10)

The denominator becomes 0(10) = 0, and any expression divided by 0 is undefined. Thus, we have a situation where the function is undefined at s = 0, indicating that the function has a vertical asymptote at s = 0.

Since the function is undefined at s = 0, we cannot determine its value at that specific point. Therefore, the initial value of the function f(s) = 4(s+25) / s(s+10) at t = 0 is undefined, which is represented as option d, [infinity].

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The graphs of f of x equals cosine of the quantity x over 2 and g of x equals square root of 3 minus cosine of the quantity x over 2 intersect on the interval [0, 360°) at: D. 30° and 330°.

In Mathematics and Geometry, a point of intersection simply refers to the location on a graph where two (2) lines intersect or cross each other, which is primarily represented as an ordered pair containing the point that corresponds to the x-coordinate (x-axis) and y-coordinate (y-axis) on a cartesian coordinate.

In this context, we can logically deduce that the point of intersection of the graphs would be at function f(x) = function g(x):

\(cos(\frac{x}{2} )=\sqrt{3} -cos(\frac{x}{2} )\\\\\sqrt{3}=cos(\frac{x}{2} ) + cos(\frac{x}{2} )\\\\\sqrt{3}=2cos(\frac{x}{2} )\\\\cos(\frac{x}{2} )=\frac{\sqrt{3}}{2} \\\\cos(\frac{x}{2} )=\frac{\sqrt{3}}{2}\times \frac{\sqrt{3}}{\sqrt{3}} \\\\cos(\frac{x}{2} )= \frac{3}{2\sqrt{3}}\)

x/2 = 15

x = 15(2)

x = 30

x/2 = 165

x = 2(165)

x = 330.

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Answer:

20 ft by 12 ft

Step-by-step explanation:

(10 in x 24) / 12 ft = (240 in / 12 ft) = 20 ft

(6 in x 24) / 12 ft = (144 in / 12 ft) = 12 ft

Yes, the given sequence is geometric. The common ratio between any two consecutive terms can be found by dividing the second term by the first term or the third term by the second term, and so on.

In this case, the common ratio is calculated as follows:

Divide -3 by 0.3: -3/0.3 = -10

Divide 30 by -3: 30/-3 = -10

Divide -300 by 30: -300/30 = -10

Divide 3000 by -300: 3000/-300 = -10

Since the common ratio is the same for all consecutive terms, we can conclude that the given sequence is a geometric sequence with a common ratio of -10.

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We have ∫₀^π -81cos(t)sin^5(t)√(9) dt = -81√9 ∫₀^π cos(t)sin^5(t) dt. Evaluating this integral will give us the final answer for the line integral Sc xy^4 ds along the right half of the circle x² + y² = 9.

First, we need to parameterize the right half of the circle. We can choose the parameterization x = 3cos(t) and y = 3sin(t), where t ranges from 0 to π. This parameterization traces the circle counterclockwise starting from the rightmost point.

Next, we compute the line integral using the parameterization. The line integral formula is given by ∫ C F · dr, where F is the vector field and dr is the differential displacement along the curve. In this case, F = (xy^4)i + 0j and dr = (dx)i + (dy)j.

Substituting the parameterization into the line integral formula, we have ∫ C xy^4 ds = ∫₀^π (3cos(t))(3sin(t))^4 √(x'(t)² + y'(t)²) dt.

We can simplify this expression by evaluating x'(t) = -3sin(t) and y'(t) = 3cos(t). The expression becomes ∫₀^π -81cos(t)sin^5(t)√(9cos²(t) + 9sin²(t)) dt.

Simplifying further, we have ∫₀^π -81cos(t)sin^5(t)√(9) dt = -81√9 ∫₀^π cos(t)sin^5(t) dt.

Evaluating this integral will give us the final answer for the line integral Sc xy^4 ds along the right half of the circle x² + y² = 9.

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For a one-tailed hypothesis test (upper tail), the p-value is computed to be .034. If the test is being conducted at the 5% level of significance, the null hypothesis C. is rejected

A one-tailed hypothesis test refers to a statistical test in which the alternative hypothesis is either greater than or less than the null hypothesis, but not both. Since the problem states that it is a one-tailed hypothesis test (upper tail), the alternative hypothesis, H1, will be a greater than or > sign. Hypothesis testing is the method of determining whether or not an assertion about a population parameter is consistent with sample data. A hypothesis test is conducted to assist in deciding between two competing hypotheses. One hypothesis is the null hypothesis (H0), which is a statement of the population parameter that is being tested.

In a hypothesis test, the null hypothesis is rejected if the test statistic falls in the rejection region. The test statistic, which measures the distance between a sample estimate and the null hypothesis, is used to assess whether or not the null hypothesis should be rejected. Reject the null hypothesis if the p-value is less than or equal to α. Since the p-value of 0.034 is less than the level of significance, α, of 0.05, the null hypothesis will be rejected, according to the question above. Therefore, option C is correct.

The Question was Incomplete, Find the full content below :

For a one-tailed hypothesis test (upper tail), the p-value is computed to be .034. If the test is being conducted at the 5% level of significance, the null hypothesis

a. could be rejected or not rejected depending on the sample size.

b. could be rejected or not rejected depending on the sample mean.

c. is rejected.

d. is not rejected.

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Answer:

Step-by-step explanation:

soory i do not kno this one

Answer:

a. Diagonals bisect each other

b. Adjacent interior angles are supplementary

a. Diagonals bisect each other

b. Adjacent interior angles are supplementary

Francisca prefers less rainfall, she might choose City B, as it generally has fewer rainy days during the two-week period.

Here are the results for the number of rainy days during a two-week period over the past 10 years for the two cities:

City A:

Year 1: 8 rainy days

Year 2: 10 rainy days

Year 3: 7 rainy days

Year 4: 9 rainy days

Year 5: 6 rainy days

Year 6: 10 rainy days

Year 7: 8 rainy days

Year 8: 9 rainy days

Year 9: 7 rainy days

Year 10: 6 rainy days

City B:

Year 1: 4 rainy days

Year 2: 5 rainy days

Year 3: 6 rainy days

Year 4: 4 rainy days

Year 5: 5 rainy days

Year 6: 7 rainy days

Year 7: 3 rainy days

Year 8: 6 rainy days

Year 9: 5 rainy days

Year 10: 4 rainy days

Based on this information, Francisca can compare the number of rainy days between the two cities to make her decision. If she prefers less rainfall, she might choose City B, as it generally has fewer rainy days during the two-week period. However, other factors such as temperature, attractions, or personal preferences may also influence her decision.

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The value of the given integral is: v = [(4√(3) - 5)π/3]

To evaluate the given integral, let's calculate it step by step:

First, let's integrate with respect to z from 1 to √(4 - x² - y²):

∫[1, √(4 - x² - y²)] dz = √(4 - x² - y²) - 1

Next, let's integrate the above expression with respect to y from -√(3 - x²) to √(3 - x²):

∫[-√(3 - x²), √(3 - x²)] (√(4 - x² - y²) - 1) dy

To simplify the integration, let's convert to polar coordinates:

x = r cosθ

y = r sinθ

The bounds of integration in polar coordinates will be:

r: 0 to √(3)

θ: 0 to 2π

Now, we can rewrite the integral in terms of polar coordinates:

∫[0, 2π] ∫[0, √(3)] (√(4 - r²) - 1) r dr dθ

Evaluating the inner integral with respect to r:

∫[0, 2π] [(-1/3) (4 - r²)\(^{3/2}\) - (1/2) r²] | [0, √(3)] dθ

∫[0, 2π] [(2√(3)/3) - (1/3)(4 - 3)\(^{3/2}\) - (1/2)(√(3))²] dθ

Simplifying further:

∫[0, 2π] [(2√(3)/3) - (1/3) - (3/2)] dθ

∫[0, 2π] [(2√(3)/3) - (5/6)] dθ

Now, integrating with respect to θ:

[(2√(3)/3)θ - (5/6)θ] | [0, 2π]

[(2√(3)/3)(2π) - (5/6)(2π)] - [(2√(3)/3)(0) - (5/6)(0)]

[(4√(3)/3)π - (5/3)π] = [(4√(3) - 5)π/3]

Therefore, the value of the given integral is: v = [(4√(3) - 5)π/3]

Complete Question:

Evaluate the integral:

v = ∫∫∫ [−√3, √3] [−√(3−x²), √(3−x²)] [1, √(4−x²−y²)] dz dy dx

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Answer:

Step-by-step explanation:

A = bh

A = 20 * 15.3 = 306 cm^2

Answer:

.58 cm^3

Step-by-step explanation:

The formula for finding the volume of a cube is V = a^3 where a is a side length.

If you input the given value into the formula, you get .58 cm^3

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The method used to collect data will depend on the specific research question being asked and the resources available to the researcher.

One common method for collecting data is through experimentation. This involves designing a controlled experiment that allows researchers to manipulate one or more variables while keeping all other factors constant.

Observational data can be particularly useful when it is not possible or ethical to manipulate variables in an experiment.

Surveys and questionnaires are another way to collect data. These methods involve asking people to provide information about their attitudes, beliefs, and behaviors.

Other methods for collecting data include case studies, in which researchers closely examine a single individual or group, and archival research, in which data is collected from existing records, such as census data or medical records.

By carefully selecting the right method for their research, scientists can gather accurate and reliable data that can help to advance our understanding of the world around us.

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Answer:

Exact Area = 24pi square cm

Approximate Area = 75.36 square cm  (when using pi = 3.14)

Note: "square cm" can be abbreviated to "cm^2" without quotes.

=============================================================

Explanation:

Let's find the area of the full circle with radius r = 12

A = pi*r^2

A = pi*12^2

A = 144pi  

This is the exact area of the full circle in terms of pi. To get the approximate area, you would replace pi with something like 3.14 (though you could use more decimal digits in pi to get a more accurate area).

We found the area of the full circle, but we only want a pie slice of it. Each slice is 60 degrees, out of 360 total. So that means we want 60/360 = 1/6 of the full area.

In other words, there are 6 slices because 360/60 = 6, which means we'll divide the area we got by 6

(144pi)/6 = (144/6)pi = 24pi

The exact area of the pie slice is 24pi square cm

If you used the approximation pi = 3.14, then that leads to an approximate answer of 24*pi = 24*3.14 = 75.36 square cm

The graphic solution for each system of equations is given as follows:

20. (5/3, 28/3).

21. (0.205, 3.846).

22. (-1/2, -5/2).

23. (-4.615, 7.462).

The graphic solution of a system of equations is given by the point of intersection of all the equation that compose the system.

For this problem, the systems are composed by functions of the first degree, hence they are linear functions.

For each system, the graph is traced, and then the point of intersection is identified on the graph given at the end of the answer.

Each system is traced on a different color, as follows:

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There are 15,504 ways to randomly select a team of 5 people from a group of 20 people

If there are 20 people trying out for a team, the number of ways to select a team of n people can be calculated using the formula for combinations, which is:

C(20, n) = 20! / (n! * (20 - n)!)

where C(20, n) represents the number of ways to select n people from a group of 20 people.

For example, if we want to select a team of 5 people, we can plug in n = 5 and calculate:

C(20, 5) = 20! / (5! * (20 - 5)!) = 15,504

Therefore, there are 15,504 ways to randomly select a team of 5 people from a group of 20 people. Similarly, we can calculate the number of ways to select teams of different sizes by plugging different values of n into the formula for combinations.

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