write the trig expression as an algebraic expression cot(sin^(-1)(u))

The given calculation has an issue. The correct answer is b. One must use a different method to take the average of such data.

The data, which represents mood levels as 1 for bad, 2 for okay, and 3 for good, are at the ordinal level of measurement. In ordinal data, the values have a meaningful order or ranking but lack a consistent and measurable difference between the levels.

Calculating the average (mean) of ordinal data by simply taking the arithmetic mean, as done in the given calculation, is problematic. The mean assumes a continuous scale where the intervals between values are equal. However, in ordinal data, the gaps between levels might not be equal or quantifiable.

In this case, assigning numerical values 1, 2, and 3 to mood levels implies a ranking, but it does not indicate a consistent difference between bad, okay, and good moods. Treating these values as if they were continuous and evenly spaced leads to a misleading interpretation of the mean.

For example, consider the following scenario: If the true average mood level were indeed 2.5, it would imply an equal distance between bad and okay as between okay and good. However, in the given data, there is no information about the actual distance or magnitude between these categories. It is incorrect to assume that the average falls at 1.3, and the true average cannot be deduced from the given information.

To handle ordinal data correctly, alternative measures such as the mode (most frequent value) or median (middle value) are more appropriate. These measures preserve the ordinal nature of the data and do not rely on assuming equal intervals between the values.

In summary, the given calculation is incorrect because it calculates the mean of ordinal data, which violates the assumptions of equal intervals between values. Using a different method, such as the mode or median, would be more suitable for analyzing ordinal-level data.

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Determine the conditions for when a function has an inverse. Use the horizontal line test to recognize when a function is one-to-one. Find the inverse of a given function.

It is simple to establish whether the inverse of a function is also a function using the horizontal line test.

Because it fails the vertical line test, a function's inverse might not actually be a function.

Graph of the line

f\left( x \right) = - x + 2

f(x)=−x+2.

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Answer:

The sales tax is 4%

Step-by-step explanation:

hope this helps plz mark brainliest

Solve the following triangle

We are given two of the interior angles, c=90°, and b=35°. The third angle must have a measure such that the sum of them is 180°, thus:

a = 180° - 90° - 35° = 55°

Now calculate the length of BC by using the cosine ratio:

Substituting;

Solving for BC:

BC = 13 cos 35°

Calculating:

BC = 13 * 0.81915

BC = 10.6 in (to the nearest tenth)

For the length of AC, we use the sine ratio

Substituting:

Solving for AC:

AC = 13 sin 35°

Calculating:

AC= 13 * 0.5736

AC = 7.4 in

Summary:

Angle A = 55°

Side BC = 10.6 in

Side AC = 7.4 in

Answer:

gradient = - 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c( m is the slope (gradient) and c the y- intercept )

Given

6x + 2y + 9 = 0 ( subtract 6x + 9 from both sides )

2y = - 6x - 9 ( divide the 3 terms by 2 )

y = - 3x - \(\frac{9}{2}\) ← in slope- intercept form

with gradient m = - 3

Simplifying the expression, -(4x³+x²) + 2(x³ - 3x²), the simplest form would be: B. -2x³ - 7x².

To simplify the expression, -(4x³+x²) + 2(x³ - 3x²), do the following:

Apply the distributive property to eliminate the parentheses

-4x³ - x² + 2x³ - 6x²

Combine like terms together

-4x³ + 2x³ - 6x² - x²

-2x³ - 7x²

Thus, simplifying the expression, -(4x³+x²) + 2(x³ - 3x²), the simplest form would be: B. -2x³ - 7x².

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Answer:

it is a

Step-by-step explanation:

i took the quiz

Answer:

The tub started with 15 gallons of water

Step-by-step explanation:

woof woof

Answer:

a) 3x

b) 3x

c) 2 2/3 times greater

Step-by-step explanation:

The length of the rectangle:

The width of the rectangle is x. If you add the two widths together when finding perimeter, x + x, that would give you 2x.

Sum of widths: x + x = 2x

Use the sum of the widths to find the sum of the lengths by subtracting from the perimeter.

sum of lengths = perimeter - sum of widths

8x - 2x = 6x

Since there are 2 lengths divide by 2.

6x/2 = 3x

The length of the rectangle is 3x

Perimeter of the square:

The sides of the square are 1/4 of the length of the rectangle. "of" means to mulitply: (I made 3x a fraction by placing it over 1)

\(\frac{1}{4} (\frac{3x}{1} )\) = \(\frac{3}{4} x\)

Now find the perimeter of the square by multiplying the side length by 4.

\(\frac{3}{4}x(\frac{4}{1} )\) = \(3x\)

Last part:

solve the rectangle's perimeter by substituting x with 4.

P = 8x

P = 8(4)

P = 32 cm

Solve the square's perimeter by substituting x with 4.

P = 3x

P = 3(4)

P = 12 cm

Divide the rectangle's perimeter by the square's perimeter.

32/12 = 2 2/3 times bigger.

Answer:

plug in the day to the equation:

November 1st is day 305, so November 24th would be day 328

y = 116.65 sin(0.02(328) +1.89) + 731.71

= 116.65 sin(8.45) + 731.71

= 828.247 minutes of daylight

≈ 13.8 hours or 13:48 (because .8 of an hour is ≈ 48 minutes)

Solution

For this case we can do the following:

Part 2

17/50 represent the conditional probability of being vegetarian given that the person selected is female

Part 3

17% of students surveyed were female vegetarians

Is a joint relative since represent the % of vegetarians and female in all the sample

The purpose of a variable is to hold and represent a value Option C.

The purpose of a variable in programming or mathematics is to hold and represent a value that can be assigned, changed, and used in various operations or calculations. Variables are fundamental components of programming languages and mathematical equations, enabling flexibility and dynamic behavior in computational tasks.

Option (c) "to hold a value" is the most accurate answer, as variables are used to store data or information in memory locations. This value can be of different types, such as integers, floating-point numbers, characters, or even more complex data structures like arrays or objects.

Variables allow programmers to work with and manipulate data efficiently. By assigning values to variables, we can reference and modify them throughout the program, making it easier to manage and organize information.

Variables also play a crucial role in performing calculations, as mentioned in option (b). We can use variables in mathematical expressions and algorithms to perform arithmetic operations, comparisons, and other computations. By storing values in variables, we can reuse them in multiple calculations and update them as needed.

While option (a) "to assign values" is a specific use case of variables, it is not the sole purpose. Variables not only store values but also facilitate data manipulation, control flow, and the implementation of algorithms and logic.

Option (d) "to hold a constant value" is incorrect because variables, by definition, can hold varying values. Constants, on the other hand, are fixed values that do not change during the execution of a program. Option C is correct.

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Answer:

Step-by-step explanation:

If the bearing of x from y is 148°, then the bearing of y from x is the opposite direction and therefore 180° + 148° = 328°.

So the bearing of y from x is 328°.

Answer:

18.84 miles

Step-by-step explanation:

Circumference = 2πr

= 2 × 3.14 × 3

= 18.84 miles

The exact circumference of the circle with radius 3 miles is 6π or 18.84 miles (approx).

The radius of a circle is 3 miles. What is the circumference?The formula to calculate the circumference of a circle is given as:

Circumference = 2πr, where r is the radius of the circle and π is a constant value, approximately equal to 3.14. Substituting the given value of r in the formula, we have:

Circumference = 2π(3)

Circumference = 6π

Therefore, the exact circumference of the circle is 6π miles. To simplify this answer in its simplest form, we can use the value of π as 3.14 (approximately).Circumference = 6π = 6(3.14) = 18.84Therefore, the exact circumference of the circle is 18.84 miles (approx).

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Answer:

71.428571%

Step-by-step explanation:

You divide 5 by 7

Answer:

1,152, 1,184, 1,216

Step-by-step explanation:

First, subtract. 1,088 - 1,056 = 32

Then, add.

1120 + 32 = 1,152

1,152 + 32 = 1,184

1,184 + 32 = 1,216

Lastly, have a nice day!

Answer:

The next three terms are 1152, 1184, 1216.

Step-by-step explanation:

The pattern of this term equation is to add by 32.

1056+ 32 = 1088

1088 + 32= 1120

1120 + 32 = 1152

1152+ 32 = 1184

1184 + 32 = 1216

Could I receive Brainliest please?!

Answer: i think b

Step-by-step explanation:

Answer:

\(Volume~of~cylinder=\pi r^2h\)

-------------------------

hope it helps..

have a great day!!

Answer:

I believe it would be 1570.

Step-by-step explanation:

The formula to find the volume of a cylinder is:

V = pi • r² • h

The diameter is usually 2x the radius:

20m ÷ 2 = 10

The radius would be 10m.

3.14 • 10² • 5 = 1570 cubic m

Answer: $190=£131.1

Step-by-step explanation:

190x0.69=

131.1

Answer:

£131.1

Step-by-step explanation:

0.69 x 190 = 131.1

Answer: y = 2(x + 2)² - 5

Step-by-step explanation:

          We are going to use the completing the square method to transform this quadratic equation from standard form to vertex form.

Given:

     y = 2x² + 8x + 3

Factor the 2 out of the first two terms:

     y = 2(x² + 4x) + 3

Add and subtract \(\frac{b}{2} ^2\):

     y = 2(x² + 4x + 4 - 4) + 3

Distribute the 2 into -4 and combine with the 3:

     y = 2(x² + 4x + 4) - 5

Factor (x² + 4x + 4):

     y = 2(x + 2)² - 5

The symbols p,x, and s represent sample statistics.

- p (pronounced "p-hat") is the sample proportion. It is used to estimate the population proportion. It is computed as the number of successes in the sample divided by the sample size.

-x (pronounced "x-bar") is the sample mean. It is used to estimate the population mean. It is computed as the sum of all the values in the sample divided by the sample size.

- s is the sample standard deviation. It is used to estimate the population standard deviation. It measures how spread out the data is in the sample. It is computed as the square root of the sum of the squared deviations from the sample mean divided by the sample size minus one.

These sample statistics are used to make inferences about the corresponding population parameters, which are denoted by Greek letters such as μ (mu) for the population mean and σ (sigma) for the population standard deviation.

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Answer:

Malcolm would logically be running at 4.75 and since he is running at 3, it would be the lowest possible therefore its B

Step-by-step explanation:

In order to find the price increase multiply by 1 and add the 7%,

then, apply the same to subtract the 7%

The probability of the two individuals owning a dog is 0.4225 or 42.25% when rounded up to two decimal places.

Probability is the chance of occurrence of a possible outcome out of number of trials conducted.

Suppose that 65% of people own dogs.

If two people are randomly selected, the probability that they both own a dog is calculated as follows:

First, the probability of the first person owning a dog is 0.65.

The probability of the second person also owning a dog is also 0.65, given that the selection is random.

Thus, the probability that both of them owning a dog is:

0.65 × 0.65 = 0.4225

Therefore probability of the two individuals owning a dog is 0.4225 or 42.25% when rounded up to two decimal places.

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The x-axis represents the number of classes failed, and the y-axis represents the relative frequency. We can label the bars with the corresponding proportions.

To create a relative frequency plot showing the proportion of classes failed by each child, we need to count the number of "F" (failed) grades for each child and calculate the relative frequency.

Here is the table with the number of classes failed for each child:

Child Grades

Pooja PF

Melissa PPFS

Salma FF

Pedro PPP

Ernesto PFP

Dalia PPF

Olga FPF

Divya PPP

Now, let's count the number of "F" grades for each child:

Pooja: 1 class failed

Melissa: 1 class failed

Salma: 2 classes failed

Pedro: 0 classes failed

Ernesto: 1 class failed

Dalia: 1 class failed

Olga: 2 classes failed

Divya: 0 classes failed

Now, we can calculate the relative frequency by dividing the number of classes failed by the total number of classes taken by each child (which is 333 in this case).

Pooja: 1/333 ≈ 0.003

Melissa: 1/333 ≈ 0.003

Salma: 2/333 ≈ 0.006

Pedro: 0/333 = 0

Ernesto: 1/333 ≈ 0.003

Dalia: 1/333 ≈ 0.003

Olga: 2/333 ≈ 0.006

Divya: 0/333 = 0

Now, we can represent these proportions on a relative frequency plot by using bars. The x-axis represents the number of classes failed, and the y-axis represents the relative frequency. We can label the bars with the corresponding proportions.

Please note that I can only provide you with the explanation, but you would need to create the actual plot using a graphing tool or software.

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The performance score associated with the c grade is 157, and the performance score associated with the a grade is 355.

The z-score is a numerical measurement used in statistics to indicate how many standard deviations a particular value is from the mean of a dataset. It is calculated by subtracting the mean from the data point and dividing the result by the standard deviation. The resulting number is the z-score. The z-score is a useful tool for identifying outliers in a dataset, as values with z-scores that are too high or too low can be easily identified. Z-scores can also be used for comparing data points from different datasets, as z-scores are independent of the mean and standard deviation of the dataset. Z-scores can also be used for comparing data points from different datasets, as z-scores are independent of the mean and standard deviation of the dataset. This makes them ideal for normalizing data from different sources or for comparing data from different time periods or from different locations.

The z-score associated with the 9th percentile from the standard normal distribution is -1.28, and the z-score associated with the 91st percentile is 1.28.

b. (2 points) what are the performance scores associated with the c grade and the a grade?

The performance score associated with the c grade is 157, and the performance score associated with the a grade is 355.


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Answer:

x=59

Step-by-step explanation:

Probability that the mean number of pieces of food will be less than 200 is -0.543.

In mathematics, probability is the ratio of any favorable outcome to the total possible outcome of an event. Standard deviation is the measure of how far the data values far from the mean value of a sample.

What is the probability that mean number of pieces be less than 200?

Mean number of pieces in one cup scoop = 205

Standard deviation = 9.2

Random sample, n = 15 scoop

let X = 200,

Mean Xi = 205

SD = 9.2

For a normally distributed sample the probability for P(X<200)

 z = (X - Xi)/ SD

z = (200-205) / 9.2

 z = - 0.543

Hence, the probability is z = -0.543

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