Are teacher evaluations independent of grades? Halfway through the term, 3 random sample of 284 students were asked to evaluate teacher performance. The students also were asked to supply their midterm grade in the course being evaluated. In this study, only students with a passing grade ( A,B, or C) were included in the summary table. Use a S\% level of significance to test the claim that teacher evaluations are independent of students midterm grades. To test the hypothesis, which of the following is the alternative hypotheres? Find the expected value for the category: Grade C and Negative Teacher Evaluation. Round to the nearest whole number. Select an answer and submit. For keyboard navigation, use the up/down arrow keys to select an answer. a 30 b 38 c 23 d. 35

The first- and second order partial derivatives of the function f(x,y) = 3xy - 2xy² - x²y are:

∂f/∂x = 3y - 4xy - x², ∂f/∂y = 3x - 4xy - x²∂²f/∂x² = -4y, ∂²f/∂y² = -4x and ∂²f/∂y∂x = -4y.

Given function:

f (x,y) = 3xy - 2xy² - x²y

Let's find the first order partial derivatives.

1. First order partial derivative with respect to x.

Keep y constant and differentiate with respect to x.∂f/∂x = 3y - 4xy - x²2.

First order partial derivative with respect to y

Keep x constant and differentiate with respect to y.

∂f/∂y = 3x - 4xy - x²

Let's find the second order partial derivatives.

1. Second order partial derivative with respect to x.

Keep y constant and differentiate ∂f/∂x with respect to x.∂²f/∂x² = -4y2. Second order partial derivative with respect to y.Keep x constant and differentiate ∂f/∂y with respect to y.∂²f/∂y² = -4x3. Second order partial derivative with respect to x and y.

Keep x and y constant and differentiate ∂f/∂y with respect to x.∂²f/∂y∂x = -4y

From the above steps, we can say that the first order partial derivatives are:∂f/∂x = 3y - 4xy - x²and ∂f/∂y = 3x - 4xy - x²The second order partial derivatives are:

∂²f/∂x² = -4y∂²f/∂y² = -4x

and ∂²f/∂y∂x = -4y

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Answer:

1 cm =5ft

2.7 cm =?

cross multiplying gives:

2.7 X 5= 13.5 ft

There is a 30.85% chance that someone will have to wait longer than 6 minutes.

Z score is used to determine by how many standard deviations the raw score is above or below the mean. It is given by:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

z = (raw score - mean) / standard deviation

So,

We can write,

Mean of 6 minutes and variance = 1 minutes, hence:

Standard deviation = √variance = √1 = 1 minutes

For > 6 minutes:

z = (6 - 5)/2 = 1/2=0.5

P(z > 0.5) = 1 - P(z < 0.5)

P(z > 0.5) = 1 - 0.6915

P(z > 0.5) = 0.3085

Therefore,

There is a 30.85% chance that someone will have to wait longer than 6 minutes.

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The value of the given expression is approximately 5.313.

To solve the expression, let's break it down step by step:

1. Calculate the square root of 282.3 multiplied by 4.809:

  √(282.3 × 4.809) ≈ 26.745

2. Take the natural logarithm (base e) of the result from step 1:

  Log(26.745) ≈ 3.287

3. Divide the value from step 2 by 0.8902:

  3.287 ÷ 0.8902 ≈ 3.689

4. Calculate 1.2 raised to the power of 2:

  (1.2)^2 = 1.44

5. Multiply the value from step 3 by the value from step 4:

  3.689 × 1.44 ≈ 5.313

Therefore, the value of the given expression is approximately 5.313.

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The answer is D.

The portion of the statement \({x\to 0}\) says we're looking at the graph as the x-values get closer to 0.  So we're looking at x-values like 0.1, 0.01, 0.001, 0.0001, etc and -0.1, -0.01, -0.001, -0.0001, etc.

The \(\lim\limits_{x\to 0}f(x)\)\(\lim\limits_{x\to 0}f(x) = 1\) as a whole is asking "are the y-values on the graph headed towards a specific y-value as x-values get closer to 0?"

As you move towards x = 0 from either side, the y-values get closer to y=1.

So \(\lim\limits_{x\to 0}f(x)=1\).

Here is a Venn diagram:

You would need to wait approximately 51.33 years from now to grow your initial investment of $39,000 to $174,000 at an interest rate of 10% per year.

To calculate the number of periods (years) required to grow an initial investment to a desired future value, we can use the formula for compound interest:

FV = PV * \((1 + r)^n\)

Where:

FV is the future value

PV is the present value (initial investment)

r is the interest rate per period

n is the number of periods

In this case:

PV = $39,000

FV = $174,000

r = 10% per year

Let's calculate the number of periods (years):

FV = PV * \((1 + r)^n\)

174,000 = 39,000 * \((1 + 0.10)^n\)

Divide both sides by 39,000:

4.4615 = \((1.10)^n\)

Take the logarithm of both sides to solve for n:

log(4.4615) = n * log(1.10)

n ≈ log(4.4615) / log(1.10)

n ≈ 2.1270 / 0.0414

n ≈ 51.33 (rounded to two decimal places)

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Answer:

Graph D is correct

Step-by-step explanation:

This is complicated because the scales on the x-axis and y-axis are not the same. Graph D has the correct y-intercepts and the correct slopes. The solution is x = 500, where the two lines intersect.

The function f has the property injective. (D)

An injective function is also known as a one-to-one function, which means that for every unique output, there is a unique input.

In this case, the function f maps the single element in the domain {1} to the single element in the codomain {1}, and there is only one possible output for the single input, so it is injective.

It does not have the properties of being increasing, decreasing, strictly increasing, strictly decreasing, or surjective because the function is a constant function mapping the single element in its domain to the single element in its codomain.

As a result, it does not change in value and cannot be classified as increasing or decreasing. Additionally, it is not surjective because the codomain contains one element that is not mapped to by the function.

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The values of the missing sides are;

1. f = 8. 55

2. c = 28. 80

3. m = 23. 39

4. b = 15. 83

To determine the missing sides, we need to use the different trigonometric identities and their ratios.

We have;

1. Using the sine identity, we have;

sin 55 = 7/f

cross multiply the values, we have;

f = 8. 55

2. Using the cosine identity;

cos 37 = 23/c

cross multiply the values

c = 28. 80

3. Using the tangent identity;

tan 54 = m/17

m = 23. 39

4. Using the sine identity

sin 46 = b/22

b = 15. 83

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The method used to  collect data will be a survey

A survey is a technique for gathering information from a sample of people to learn more about their beliefs, attitudes or other traits. Political polls frequently entail selecting a representative sample of the populace and asking them questions regarding their beliefs. A survey is a distinct way of gathering data. Numerous techniques, including telephone interviews, online questionnaires, and in-person interviews, can be used to conduct surveys.

In a political poll, the pollster would typically design a survey including a series of questions related to the political candidate and the election, and then administer the survey to a sample of individuals to successfully gather data about their opinions and voting intentions. The results of the survey can be then analyzed to determine the candidate's standing in the polls.

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It will take approximately 20 years for the population of San Diego to double at a growth rate of 3.5% per year

To find out how long it will take for the population to double, we can use the rule of 70. The rule of 70 states that to find the approximate number of years it takes for a quantity to double, divide 70 by the annual growth rate as a percentage.

In this case, the annual growth rate is 3.5%, so we can calculate the doubling time as follows:

70 / 3.5 = 20

Therefore, it will take approximately 20 years for the population of San Diego to double at a growth rate of 3.5% per year.

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Answer:

x= -12. 6

I hope it's helps you

Answer:

39 SIR

Step-by-step explanation:

The ratio of protonated/deprotonated acetic acid at the given pH is:

Therefore, the ratio of protonated/deprotonated acetic acid at the given pH is:

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Answer:

Step-by-step explanation:

Plate tectonics is a scientific theory describing the large-scale motion of the plates making up the Earth's lithosphere since tectonic processes began on Earth between 3.3 and 3.5 billion years ago. The model builds on the concept of continental drift, an idea developed during the first decades of the 20th century.

Answer: the answer would be

ANSWER#2 The store charges $2 for a pizza and then adds on $3 for every topping added

assuming that the equation is The equation Cost = 3(number of toppings ) +2 that means that its the number of toppings times 3, so 3 dollars for every topping and than the additonal 2 dollars for the pizza cost

....and dang, I wish i could get a two dollar pizza :(

The function is not increasing on any interval.

First, we need to find the first derivative of the function:

y = -3x² - 5x + 2

y' = -6x - 5

Next, we need to find the critical points of the function by setting the first derivative equal to zero:

-6x - 5 = 0

-6x = 5

x = -5/6

Now, we need to use the second derivative test to determine where the function is increasing, decreasing, concave up, and concave down:

y'' = -6

Since the second derivative is a constant negative value, the function is concave down on the entire domain of x.

Now, we can use the first derivative and the critical point to determine where the function is increasing and decreasing:

When x < -5/6, the first derivative is positive, so the function is increasing.

When x > -5/6, the first derivative is negative, so the function is decreasing.

Therefore, the function is not increasing on any interval.

In interval notation, the function is increasing on the interval (-∞, -5/6) and decreasing on the interval (-5/6, ∞).

So, the correct choice is B. The function is not increasing on any interval.

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The amount of carrots Joey has left according to the task content is; 1.8kg.

It follows from the task content that the quantity of carrots he has initially is; 3 kg.

On this note, upon adding 0.8 kilograms of carrots to a pot of vegetable soup, and grated 400 grams of carrots = 0.4kg, it follows that the quantity of carrot left is;

= 3 - 0.8 - 0.4 = 1.8kg.

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Explanation:

HA = hypotenuse angle

The tickmarks tell us that the hypotenuse IJ is the same length as the hypotenuse LM. So that's the "hypotenuse" portion of "HA".

The "angle" portion refers to the acute angles HIJ and KLM being the same measure, as shown by the curved arc marking. We aren't referring to the right angles because the HA theorem can only be used for right triangles, so that means the right angle is already built into it (and we can ignore the right angles).

Notice how HA is a special case of AAS.

The number of standard deviations a score has from the population mean is measured by the z-score, also known as the standard score.

The range of the z-scores is from 3 to 3 on the normal distribution curve, and values outside of this range are called outliers. The z-score's formula is as follows:

Z=X-μ/σ

First, convert the given X value into a Z-score. Keep in mind that equals 50 and equals 360.As a result,

Z = 400-360/50 = 0.80

A measure of how dispersed the data are in relation to the mean is called the standard deviation (or ).Data with a low standard deviation are grouped around the mean, while data with a high standard deviation are more dispersed.

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Answer: Length = 28cm

Width = 7cm

Step-by-step explanation:

Let the width be represented by x.

Since the length is four times its width. Therefore, the length would be:

= 4 × x = 4x

The perimeter of a rectangle is calculated as:

= 2(length + breadth)

Therefore, 2(4x + x) = 70

2(5x) = 70

10x = 70

x = 70/10

x = 7

Therefore, width = 7cm

Length = 4x = 4 × 7 = 28cm

The interval that corresponds to the smallest area under a Normal curve is option D, μ - σ to Q3. This is because it covers only one standard deviation below the mean (μ - σ) and a smaller portion of the upper tail (up to Q3) compared to the other options. Smaller intervals generally correspond to smaller areas under the curve.

The interval that corresponds to the smallest area under a Normal curve is option D, μ - σ to Q3. This is because it covers only one standard deviation below the mean (μ - σ) and a smaller portion of the upper tail (up to Q3) compared to the other options. Smaller intervals generally correspond to smaller areas under the curve. Normal distributions are important in statistics and are often used in the natural and social sciences to represent real-valued random variables whose distributions are not known. Their importance is partly due to the central limit theorem. It states that, under some conditions, the average of many samples (observations) of a random variable with finite mean and variance is itself a random variable whose distribution converges to a normal distribution as the number of samples increases. Therefore, physical quantities that are expected to be the sum of many independent processes, such as measurement errors, often have distributions that are nearly normal.

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Answer:

4 (x-1)

Step-by-step explanation:

6x - 2x + x - 6

4x - 4

4 (x-1)

Answer:

4x-4

Step-by-step explanation:

Like terms are based on the types of numbers. take the x digets 6x-2x and combine them, then take the regular digets 2-6 and combine those.

Answer:

the answer is side angle side (sas)

Answer: SAS

Step-by-step explanation: You know to sides are congruent so the included angle between them must also be congruent.

Answer:

b

Step-by-step explanation:

im pretty sure

The website gets, on average, 24 hits per hour.

To answer this question using a Poisson process, we first need to find the average rate of hits per hour. Given that the website gets 4 hits every 10 minutes, we can calculate the average hits per hour by multiplying the hits per 10 minutes by 6 (since there are six 10-minute intervals in an hour).

So, 4 hits/10 minutes * 6 = 24 hits per hour. The Poisson process allows us to model the number of hits as a random variable with an average rate of 24 hits per hour, making it suitable for predicting the number of hits in different time intervals.

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Answer:

$32.4

Step-by-step explanation: