Which graph does NOT represent a function?

The more precise estimator ẏ₁ is the most efficient in estimating the average salary. With given values, the confidence interval is calculated to determine whether to accept the claim of a $50,000 mean salary.



In this scenario, we have two estimators for the average salary: ẏ₁, which uses precise data, and ẏ₂, which includes less precise data. The efficiency of the estimators depends on the variance of the data. If we compare the variances, Var(ẏ₁) = 0% and Var(ẏ₂) = o²(1 + 3c). Since Var(ẏ₁) is zero, it implies that ẏ₁ is the most efficient estimator. The answer does not depend on the value of c.

In the second part, with c = 0, we have Var(Y) = o². Given N = 300, s² = 20,000,000, and ẏ₁ = $48,000, we can use these values to construct a confidence interval. Using a 1% significance level, the critical value is 2.57 (from the standard normal distribution). The confidence interval is given by ẏ₁ ± 2.57 * sqrt(s²/N), which results in $48,000 ± 2.57 * sqrt(20,000,000/300). If this interval contains $50,000, we would accept your friend's claim; otherwise, we would reject it.

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The expression (72a³b⁴) / (6a²b) is equivalent to the expression 12ab³.

The equivalent is the expression that is in different forms but is equal to the same value.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The expression is given below.

⇒ (72a³b⁴) / (6a²b)

Simplify the expression, then we have

⇒ (72a³b⁴) / (6a²b)

⇒ 12ab³

The expression (72a³b⁴) / (6a²b) is equivalent to the expression 12ab³.

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To define a default field value in a form or a database, you can use the attribute "default". When you add the "default" attribute to a field, it will automatically assign the specified value to that field if no other value is provided by the user or system.

This can be particularly useful when designing forms or databases that require certain fields to have a value even when the user does not provide one.
For example, in a web form, you might have a "Country" field that requires users to select their country from a dropdown list. By setting a default value for this field, such as "United States," the system ensures that there is always a value associated with that field even if the user does not make a selection.
Similarly, in a database schema, you might have a "DateCreated" field that automatically assigns the current date and time as the default value. This ensures that the date and time are always recorded for each new entry, even if the user does not manually input a value.
In both cases, the "default" attribute allows you to streamline the data collection process and ensure that your forms and databases maintain consistent and complete data. Using default values can also improve the user experience by reducing the amount of input required, making it easier for users to complete forms and submit their data.

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The probability of not drawing a blue marble is 0.51, which can also be expressed as 51/100 or 51%.

To find the probability of not drawing a blue marble (P(no blue)), we need to consider the outcomes where blue marbles are not drawn.

From the given table, we can see that the outcomes are categorized as Red, Red; Red, Blue; Blue, Blue; and Blue, Red.

The outcomes "Red, Red" and "Red, Blue" are the ones where blue marbles are not drawn, as the first marble drawn is red in both cases.

The frequency of the outcome "Red, Red" is 19, and the frequency of the outcome "Red, Blue" is 32.

Adding these frequencies together gives us 19 + 32 = 51.

Since the experiment involves drawing marbles twice and replacing them, the total number of outcomes is 100.

Therefore, the probability of not drawing a blue marble (P(no blue)) can be calculated as the frequency of the desired outcomes (51) divided by the total number of outcomes (100):

P(no blue) = 51/100

Simplifying this fraction, we get:

P(no blue) = 0.51.

So, the probability of not drawing a blue marble is 0.51, which can also be expressed as 51/100 or 51%.

In conclusion, based on the given data, the probability of not drawing a blue marble in the experiment is 0.51 or 51%.

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The range of the function is -3 < y ≤ 5, the asymptote is y = -3 and the end behaviour of the graph is: as x ⇒ 2, f(x) ⇒ 5 and as x ⇒ -∝, f(x) ⇒ -3

Given that we have the following function definitions

f(x) = 2ˣ ⁺ ¹ - 3 for x ≤ 2

f(x) = 10/x  for x > 2

The maximum value of the function is

f(max) = 2² ⁺ ¹ - 3 or f(max) = 10/2

f(max) = 5  or f(max) = 10/2

The minimum is at the asymptote of

f(x) = 2ˣ ⁺ ¹ - 3 for x ≤ 2

So, we have

f(min) = -3

This means that

Range: -3 < y ≤ 5

In (a), we have

f(min) = -3

This means that

Asymptote: y = -3

The graph would approach the maximum as x approaches the hole i.e. x = 2 and the graph would approach the asymptote as x approaches negative infinity

So, the end behaviour of the graph is: as x ⇒ 2, f(x) ⇒ 5 and as x ⇒ -∝, f(x) ⇒ -3

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Answer:

1 ÷ 11

Step-by-step explanation:

The computation is shown below:

let us assume the yellow cubes be x

So, blue cubes be 2x

And, green cubes be 2x (4) 8x

Now the ratio is

Yellow: Blue: green

x:2x:8x

1:2:8

Now the probability of yellow cubes is

= 1 ÷ (1 + 2 + 8)

= 1 ÷ 11

Answer:

1

Step-by-step explanation:

:)

Answer:

1

Step-by-step explanation:

3(2x+1)=9      *multiply 3 to 2x and 1*

6x + 3 = 9     *subtract 3 from both sides*

6x = 6           *divide each side by 6

x=1

The phase that is not a part of the planning process for both statistical and non-statistical sampling is determining the sample size.

Determining the sample size is an essential step in statistical sampling, as it involves calculating the number of observations needed to ensure statistical validity. However, in non-statistical sampling, the focus is on selecting specific cases or items for examination based on subjective criteria, rather than relying on statistical principles or sample size calculations. Instead, non-statistical sampling emphasizes judgment and expert knowledge to choose representative samples. By excluding the determination of sample size, non-statistical sampling allows for greater flexibility and adaptability in the sampling process, enabling a more tailored approach to the specific objectives of the study or investigation.

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Answer:

q = - 13

Step-by-step explanation:

Calculate the slope m using the slope formula and equate to 6

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (- 1, q) and (x₂, y₂ ) = (0, - 7)

m = \(\frac{-7-q}{0+1}\) = - 7 - q , then

- 7 - q = 6 ( add 7 to both sides )

- q = 13 ( multiply both sides by - 1 )

q = - 13

Answer:

q = -13?

Step-by-step explanation:

the equation is y = mx + c

m is the gradient

c is the y-intercept

where the line crosses the y axis

If 6 is the gradient then the equation is

y = 6x + c

Find c by using the coordinates given:

-7 = ( 6× 0) +c

-7 = 0 + c

c = -7

the equation is y = 6x -7

Substitute the other coordinates to find q:

y or q = (6 ×-1) - 7

q = -6 -7

q = -13

This is the power series representation for the function ln((1+x)/(1-x)). Note that the series converges for |x| < 1.

The power series representation for the function ln((1+x)/(1-x)) can be found using Taylor series expansion. First, we need to express the given function in a form suitable for Taylor series expansion.

The Taylor series expansion is a way to represent a function as an infinite series of terms involving powers of the variable centered around a specific point x = a. It is a generalization of the Maclaurin series expansion, which is a special case of the Taylor series when the expansion is centered around x = 0.

The Taylor series expansion of a function f(x) centered at x = a is given by:

f(x) = f(a) + f'(a)(x - a) + f''(a)((x - a)^2/2!) + f'''(a)((x - a)^3/3!) + ...

where f(a) represents the value of the function at x = a, f'(a) represents the derivative of the function evaluated at x = a, f''(a) represents the second derivative evaluated at x = a, and so on. The terms involving higher derivatives are divided by the corresponding factorial to account for the decreasing influence of higher powers of (x - a).

To do this, we can use the following identity:
ln(1+y) = y - y^2/2 + y^3/3 - y^4/4 + ... (where |y| < 1)
In our case, y = (2x)/(1-x), so:
ln((1+x)/(1-x)) = ln(1 + (2x)/(1-x))
Now, applying the identity and substituting y with (2x)/(1-x):
ln((1+x)/(1-x)) = (2x)/(1-x) - ((2x)/(1-x))^2/2 + ((2x)/(1-x))^3/3 - ...
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Answer:

514.6

Step-by-step explanation:

Answer:

80x-460=300

80x=760

Step-by-step explanation:

In order to know which equation is best, you have to add the total expenses the robotics club had.

Expenses:

Let's add: $400 + $60 = $460

Next, you have to know how many of the shirts were purchased.

Now, let's compute.

or

This means that the robotics club has to sell the shirts at $9.5 each in order to have a $300 profit.

Explanation

To find the complex conjugate of -1-3i we change the sign of the imaginary part. Therefore, the conjugate is -1+3i

We can then find the product of -1-3i and its conjugate -1+3i below.

Answer: 10

In triangle ΔQRS, with ∠S = 90° and ∠R = 18°, and given that RS = 25 feet, we need to find the length of QR.

To find the length of QR, we can use trigonometric ratios based on the given angles in the right triangle ΔQRS. Since ∠S = 90°, we know that QR is the hypotenuse of the triangle. Let's denote the length of QR as x.

Using the sine ratio, we can write:

sin(∠R) = opposite/hypotenuse

sin(18°) = RS/QR

sin(18°) = 25/x

To solve for x, we can rearrange the equation: x = 25 / sin(18°)

By substituting the value of sin(18°) into the equation and evaluating it, we can find the approximate length of QR.

Calculating the value, we get: x ≈ 79.68 feet (rounded to the nearest 10th of a foot).Therefore, the length of QR is approximately 79.68 feet when rounded to the nearest 10th of a foot.

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Option d. dependent variable. In an experiment, the dependent variable is the factor that is being measured or observed.

It is the variable that is expected to change or be affected as a result of the manipulation of the independent variable. The independent variable is the factor that is being manipulated or controlled in the experiment, while the controlled variable is a factor that is kept constant or consistent throughout the experiment to prevent it from affecting the dependent variable. The dependent variable is often used to draw conclusions about the relationship between the independent variable and the outcome of the experiment.

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Logistic regression models the probability of a binary outcome, while CART models segment data into categories. For example, CART is preferable when data has complex interactions, as it can partition data into multiple categories.

Logistic regression and classification and regression trees (CART) are two different machine learning models used for binary classification problems. Logistic regression models the probability of one class or the other based on a linear combination of input variables. This makes it useful for predicting a binary outcome, such as whether a customer will purchase a product or not. On the other hand, CART is a decision tree model that divides data into categories. It uses a tree-like structure to split the data into segments based on the input features. This makes it useful for dealing with data with complex interactions, as it can partition data into multiple categories. For example, a CART model would be preferable to a logistic regression model if there are multiple underlying factors that affect the binary outcome. In this case, a CART model could more accurately identify the categories that are associated with a particular outcome. Overall, CART models are superior for dealing with data with complex interactions, whereas logistic regression is better for simpler data.

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Answer:

9 years

Step-by-step explanation:

Losing 15 % means 85% remains

  so multiply each year's value by .85 to find the current value

       after 'n'  years it will be  24300 * .85^n

when will it be 5600 ?

    5600 = 24300 * .85^n

     5600/24300  = .85^n  

             now you need to take the log of both sides and solve for 'n'  years

  log ( 5600/24300) / log(.85) = n = 9.031 = ~~ 9 years

Answer:

Perimeter

Step-by-step explanation:

Perimeter is the distance around an object. In this scenario the object in question would be Kevin's dining room.  Keyword for perimeter here is around.

In order to construct a confidence interval for the population mean when the population standard deviation is known, two assumptions must be met. Firstly, the sample data must be a simple random sample from the population being studied.

Secondly, the variable being measured must have a normal distribution or the sample size must be sufficiently large. The first assumption of a simple random sample ensures that the sample is representative of the population being studied, which is necessary for valid statistical inference. The second assumption is necessary because the confidence interval calculation relies on the assumption that the sample mean follows a normal distribution. When the variable being measured has a normal distribution, the sample mean will also have a normal distribution regardless of the sample size. When the variable being measured does not have a normal distribution, the sample size must be large enough (typically at least 30) in order for the sample mean to follow a normal distribution due to the central limit theorem. By meeting these two assumptions, we can be confident in the accuracy of the resulting confidence interval for the population mean.

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Answer:

there are 1 million possible passwords

Answer: One million possible combinations

Answer:

1.A

2.C

3.D

4.B

5.C

6.A

The probability that a student is a science major, given they are a graduate student is given as follows:

P(science|graduate) = 0.7203 = 72.03%.

A probability is calculated as the division of the desired number of outcomes by the total number of outcomes in the context of a problem/experiment.

The outcomes for this problem are given as follows:

Hence the probability that a student is a science major, given they are a graduate student is obtained as follows:

P(science|graduate) = 188/261

P(science|graduate) = 0.7203 = 72.03%.

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Answer:

0.72

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

To determine the sample size necessary for this study, we use the formula: n = (Z^2 * p * q) / E^2. The necessary sample size is approximately 1091.

Where:
- n = sample size
- Z = Z-score for the desired confidence level (98% confidence level corresponds to a Z-score of 2.33)
- p = estimated proportion (based on the information given, p = 0.8)
- q = 1 - p
- E = desired margin of error (3 percentage points)

Plugging in the values:

n = (2.33^2 * 0.8 * 0.2) / 0.03^2
n = 806.67

Rounding up to the nearest whole number, we get a sample size of 807. Therefore, the researcher needs to survey at least 807 women to be 98% confident that the proportion of women who wear shoes that are too small is within 3 percentage points of the true proportion.

To determine the necessary sample size for this study, we can use the formula for sample size calculation in proportion estimation:

n = (Z^2 * p * q) / E^2

where n is the sample size, Z is the Z-score corresponding to the desired confidence level, p is the estimated proportion, q is the complement of the proportion (1 - p), and E is the margin of error.

In this case, we have:
- Confidence level: 98%, which corresponds to a Z-score of 2.33 (from the standard normal distribution table)
- Estimated proportion (p): 80% or 0.80
- Complement of the proportion (q): 1 - 0.80 = 0.20
- Margin of error (E): 3 percentage points or 0.03

Now, we can plug these values into the formula:

n = (2.33^2 * 0.80 * 0.20) / 0.03^2
n ≈ 1090.65

Since we need to round to the nearest whole number, the necessary sample size is approximately 1091.

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Answer: Yes Leah Is Correct.

Step-by-step explanation: Leah is correct because if you have a rectangle divided into 4 parts than if you will be asked how much parts will you need to make this fraction a whole you’ll say 4 since if you say for example six you will be wrong since six is too much so if you shade one part in than it’s 1/4 ths now let’s say you shaded in 3/4th you will see 3 shaded and one more left not shaded in which gives the fraction the name 3/4.

hope this made sense.

The answer is x=−4 and y=−3

Answer:

There will be 416 students in each group.

Step-by-step explanation:

There are 1,248 students.  There are also 3 groups: radical readers, mathematicians, and super scientists.  To find the number of people in each group, divide the total students by the number groups, which would be 1,248 divided by 3.

The area of the segment of the circle is 13.9cm²

To calculate the area of segment of the circle, we can use the formula which is given as;

A = (1/2) * r² * [(π/180)θ - sinθ]

In the problem, our data given are;

Substituting the values into the formula;

A = (1/2) * 6² * [(π/180)45 - sin45]

A = 0.5 * 36 * [(3.14/180)45 - sin45]

A = 0.5 * 36 * 0.773

A = 13.9cm²

The segment area is 13.9 squared meters

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Answer:

2+2=4

Step-by-step explanation:

You've got this man.

Answer:

4

Step-by-step explanation: