A rule was used to create this list of points. Is the rule a function or not a function?

(-6, 13), (-3, 7), (0, 1), (3, -5), (-6, -11), (9, -17)


Function

Not a Function

The probability that a discrete random variable equals any of its values is between zero and one, inclusive. The correct option is 'd'.

The probability distribution function (PDF) of a discrete random variable includes the following features:

The range of each probability is 0 to 1, inclusive (inclusive means to include zero and one). There is a chance for each occurrence, which is always a number between 0 and 1 inclusive. When a probability gets closer to 1, the likelihood of an event happening rises; conversely, as a probability gets closer to 0, the likelihood of an event happening drops. For instance, if there was no chance of getting into a car accident, this would suggest that it would never happen. You would be entirely safe. If the likelihood is 1, the event will undoubtedly take place.

Therefore, the probability that a discrete random variable equals any of its values is between zero and one, inclusive. The correct option is 'd'.

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Answer:

Step-by-step explanation:

-3 = -9(4) + b

-3 = -36 + b

33 = b

y = -9x + 33

There are two terms in the given expression 5xy²+ 35xy².

What is meant by term?

Terms comprise expressions. A term may be a constant, a variable, or a combination of variables and constants.

What is an example of a term?

It could be a single variable (a letter), a single number (positive or negative), or a number of variables multiplied but never added or subtracted. Variables in certain words have a number in front of them. A coefficient is the number used before a phrase. Single-word examples: A single phrase is 3x.

There are two terms in the equation 5xyA ^2 + 35xyA^2 that is separated by an arithmetic operator +.

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Answer:

x/3+12=18 x/3=6 x=18 This is 100%

Answer:

x = -25/3

Step-by-step explanation:

\( \frac{10}{3} = \frac{x}{ (\frac{ - 5}{2} )} \\ = > \frac{10}{3} \times \frac{ - 5}{2} = x \\ = > \frac{ - 50}{6} = x \\ = > \frac{ - 25}{3} = x \)

Step-by-step explanation:

8-11= -3

which means it negative number

Answer:

1:23

Step-by-step explanation:

20 / 460

= 1 / 23

= 1:23

Answer:

₹245 is the cost

Step-by-step explanation:

Given:

Cost of the fan = ₹1470

1/6th =  1470/1  × 1/6

(do not cross multiply and simplify)

=  ₹245

Answer:

Rs 1260

Step-by-step explanation:

let x be the cost price , then

x + \(\frac{1}{6}\) x = 1470 , that is

\(\frac{7}{6}\) x = 1470 ( multiply both sides by 6 to clear the fraction )

7x = 8820 ( divide both sides by 7 )

x = 1260

The cost price was Rs 1260

The values of b that makes the lines parallel are given as follows:

b = ± 3/2.

The slope-intercept definition of a linear function is given as follows:

y = mx + b.

In which:

When two lines are parallel, they have the same slope.

Given two points, the slope is given as the change in y divided by the change in x.

This means that the slopes for each line are given as follows:

As they are parallel, the value of b is obtained as follows:

4b/3 = 3/b.

4b² = 9

b² = 9/4

\(b = \pm \sqrt{\frac{9}{4}}\)

b = ± 3/2.

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Answer:

Answer: Yes, the diagonals could be 6 and 7 in. In a parallelogram, only the opposite sides of the parallelogram are congruent.

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

1. What one needs to know

In a parallelogram, the diagonals bisect.

Triangles sides inequality, the sum of the smaller two sides in a triangle, must be greater than the measure of the larger side in that triangle.

2. Applying this knowledge

It is given that the diagonals are 4in and 3inches. Since diagonals bisect, the length of the sides of the formed triangle would be; 2in and 1.5in. If one adds these two numbers, one gets 3.5in. 3.5in is less than 5in, hence, a triangle can't have a side length of 5, and diagonals with the length of 3in and 4 in.

Answer:

30

Step-by-step explanation:

.2x45=9 so then you will have to multiply .2 by something less then 45.

.2x40=8

.2x35=7

.2x30=6

Answer:

7

Step-by-step explanation:

Answer:

You will have exact seven.

a. Null hypothesis: H₀: µ ≤ 74

b. A t-test is appropriate here because the population standard deviation is not known, and the sample size is less than 30.

c. The value of Test statistic is -6.325

d. At a 0.05 significance level, the critical value for a right-tailed test is  -1.664.

e. The test statistic (-4.38) is less than the critical value (1.645). Hence we can reject the null hypothesis.

a. Null hypothesis, H0: µ = 74, alternative hypothesis, H1: µ > 74  (there is no significant difference in the mean job satisfaction scores of employees after the telecommuting policy is adopted).

b. A t-test is appropriate here because the population standard deviation is not known, and the sample size is less than 30. This is a one-tailed test because the alternative hypothesis is directional (i.e., it states that the mean level of satisfaction will increase with telecommuting).

c. The test statistic is calculated using the formula: t = (X - µ) / (s / √n), where X is the sample mean, µ is the population mean, s is the sample standard deviation, and n is the sample size.  Substituting the values given in the question: t = (56 - 74) / (8 / √80) = -6.325

d. The critical value for a one-tailed t-test with 79 degrees of freedom at the 0.05 level of significance is -1.664. Since the calculated t-value of -6.325 is less than the critical value of -1.664, we reject the null hypothesis.

e. Based on the calculated t-value and critical value, we reject the null hypothesis that the mean level of satisfaction is the same before and after telecommuting and accept the alternative hypothesis that telecommuting increases the mean level of satisfaction among employees.

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Answer:

1310720

Step-by-step explanation:

you multiply (4^9) and get 262144 then multiply (262144)^5 and get 1310720*4^0 and multiply 4*0 and get 0 so 1310720 if that makes sense

Answer:

0.1,0.5,0.8,0.9

Step-by-step explanation:

Answer: the answer is B

Step-by-step explanation:

Answer:

B. 16.2

Step-by-step explanation:

The angle is equal to a right angle so

90 - 73.8 = 16.2

x = 16.2

Answer:

4×1000000 6×100000 7×10000 2×1000

Step-by-step explanation:

Answer:

\(4.672 * 10^{6}\)

Step-by-step explanation:

move the orginial number 6 decimal points to the left to determine its scientific notation

4672000

467200.0

46720.00

4672.000

467.2000

46.72000

4.672000

Part A:

Q1: What is the z-score that cuts off the bottom 33% of this distribution?
The area of the left tail (from the mean to the left) is 0.33. From the Standard Normal Distribution Table, we find that the z-score that corresponds to this is -0.44.

Q2: What is the raw score that cuts off the bottom 33% of this distribution?
Let X be the raw score we want to find. Then, we can use the formula:
Z = (X - μ) / σ
Rearranging, we get:
X = μ + Z * σ
Substituting, we get:
X = 50 + (-0.44) * 6
X = 47.36
Therefore, the raw score that cuts off the bottom 33% of this distribution is approximately 47.36.

Part B:

Q3: What is the z-score that corresponds to the raw score of 56?
Let X = 56. Then, we can use the formula:
Z = (X - μ) / σ
Substituting, we get:
Z = (56 - 50) / 6
Z = 1
Therefore, the z-score that corresponds to the raw score of 56 is 1.

Q4: What is the z-score that corresponds to the raw score of 62?
Let X = 62. Then, we can use the formula:
Z = (X - μ) / σ
Substituting, we get:
Z = (62 - 50) / 6
Z = 2
Therefore, the z-score that corresponds to the raw score of 62 is 2.

Q5: What percentage of the scores is between 56 and 62?
From the Standard Normal Distribution Table, we find that the area to the left of z = 1 is 0.8413 and the area to the left of z = 2 is 0.9772. Therefore, the area between z = 1 and z = 2 is:
0.9772 - 0.8413 = 0.1359
Converting this to a percentage, we get:
0.1359 * 100% = 13.59%
Therefore, approximately 13.59% of the scores is between 56 and 62.

Part C:

Q6: What is the z-score associated with a raw score of 47?
Let X = 47. Then, we can use the formula:
Z = (X - μ) / σ
Substituting, we get:
Z = (47 - 50) / 6
Z = -0.5
Therefore, the z-score associated with a raw score of 47 is -0.5.

Q7: A raw score of 47 is associated with what percentile?
From the Standard Normal Distribution Table, we find that the area to the left of z = -0.5 is 0.3085. Converting this to a percentage, we get:
0.3085 * 100% = 30.85%
Therefore, a raw score of 47 is associated with the 30.85th percentile.

Part D:

Q8: What are the z-scores that mark the middle 95% of this distribution?
To find the z-scores that mark the middle 95% of this distribution, we need to find the z-scores that correspond to the areas of 0.025 and 0.975, respectively. From the Standard Normal Distribution Table, we find that these z-scores are -1.96 and 1.96, respectively.

Q9: What is the raw score below the mean?
Let X be the raw score we want to find. Then, we can use the formula:
Z = (X - μ) / σ
Substituting, we get:
-1.96 = (X - 50) / 6
Solving for X, we get:
X = 50 - 1.96 * 6
X = 37.24
Therefore, the raw score below the mean is approximately 37.24.

Q10: What is the raw score above the mean?
Let X be the raw score we want to find. Then, we can use the formula:
Z = (X - μ) / σ
Substituting, we get:
1.96 = (X - 50) / 6
Solving for X, we get:
X = 50 + 1.96 * 6
X = 62.76
Therefore, the raw score above the mean is approximately 62.76.

Part E:

Q11: What is the median of this distribution?
The median of a normal distribution is equal to the mean. Therefore, the median of this distribution is 50.

Q12: In a positively skewed distribution. Alice scored the mean. Betty scored the median, and Claire scored the mode. Who had the highest score?
Since the distribution is positively skewed, we know that the mean < median < mode. Therefore, Claire had the highest score.

Q13: In a normal distribution. Alice scored the mean, Betty scored the median, and Claire scored the mode. Who had the highest score?
In a normal distribution, the mean = median = mode. Therefore, Alice, Betty, and Claire all had the same score.

Q14: The z-distribution always has a mean of ____ and a standard deviation of ____.
The z-distribution always has a mean of 0 and a standard deviation of 1.

Q15:
Let X be the mean of the test scores. Then, we can use the formula:
Z = (X - μ) / σ
Substituting, we get:
-1.5 = (84 - X) / 4
Solving for X, we get:
X = 84 - (-1.5) * 4
X = 90
Therefore, the mean of the test scores is 90.

Q16:
The standard deviation for the sample numbers 8, 9, and 10 cannot be determined without more information. It depends on whether the sample is the entire population or a sample from a larger population.

Q17:
The administrator's data does not provide enough information to conclude any of the options provided. We do not know the means or variances of the two groups or whether they are statistically significant.

Q18:
If you divide all the scores in a data set by a factor of k, then the standard deviation of the new data set will be the old standard deviation divided by k. Therefore, if you divide all the scores in the data set by 2, the new standard deviation will be 10/2 = 5.

Q19:
False. The variance for a set of data is always non-negative.

Q20:
False. The two parameters that completely characterize a standardized normal distribution are 0 (the mean) and 1 (the standard deviation).

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Answer:

Hyperinflation can significantly negatively impact output, primarily because it creates an environment of economic instability and uncertainty. Hyperinflation occurs when prices rise rapidly and uncontrollably, often leading to a loss of confidence in the currency and the overall economy. This can cause several problems that can reduce output, including:

Reduced investment: Hyperinflation can make it difficult for businesses to plan for the future, as they are uncertain about the value of the currency and the cost of materials and labor. This can lead to reduced investment, which can lead to lower output and fewer jobs.

Reduced consumption: Hyperinflation can make goods and services more expensive, which can reduce consumption. This can damage low-income households, which may struggle to afford necessities.

Reduced exports: Hyperinflation can make exports more expensive, which can reduce demand for domestically-produced goods and services. This can be particularly damaging for countries that rely heavily on exports for economic growth.

Reduced access to credit: Hyperinflation can make it difficult for businesses and individuals to access credit, as lenders may be reluctant to lend money in an unstable economical environment. This can make it difficult for businesses to invest and grow, reducing output.

Overall, hyperinflation can significantly negatively impact output by creating an environment of economic uncertainty and instability. It can reduce investment, consumption, exports, and access to credit, all of which can lead to lower output levels and economic growth.

Step-by-step explanation:

Answer:

Hyperinflation can significantly negatively impact output, primarily because it creates an environment of economic instability and uncertainty. Hyperinflation occurs when prices rise rapidly and uncontrollably, often leading to a loss of confidence in the currency and the overall economy. This can cause several problems that can reduce output, including:

Reduced investment: Hyperinflation can make it difficult for businesses to plan for the future, as they are uncertain about the value of the currency and the cost of materials and labor. This can lead to reduced investment, which can lead to lower output and fewer jobs.

Reduced consumption: Hyperinflation can make goods and services more expensive, which can reduce consumption. This can damage low-income households, which may struggle to afford necessities.

Reduced exports: Hyperinflation can make exports more expensive, which can reduce demand for domestically-produced goods and services. This can be particularly damaging for countries that rely heavily on exports for economic growth.

Reduced access to credit: Hyperinflation can make it difficult for businesses and individuals to access credit, as lenders may be reluctant to lend money in an unstable economical environment. This can make it difficult for businesses to invest and grow, reducing output.

Overall, hyperinflation can significantly negatively impact output by creating an environment of economic uncertainty and instability. It can reduce investment, consumption, exports, and access to credit, all of which can lead to lower output levels and economic growth.

The length of each piece of wood is 0.725 feet.

We are given that the Length= 3.5feet

Now,

This is a word problem that can be solved by using algebra and arithmetic.

Part A: Let x be the length of each of the four pieces of wood he cut. Then, according to the problem, we have:

4x + 0.6 = 3.5

This is the equation that could be used to determine the length of each piece of wood.

Part B: We know the equation from part A is correct because it represents the total length of the wood before and after cutting. The left side of the equation is the sum of the lengths of the four pieces of wood and the leftover piece of wood. The right side of the equation is the original length of the wood. Since cutting does not change the total length of the wood, these two sides must be equal.

Part C: To solve the equation from part A, we need to isolate x by using inverse operations. We get:

4x + 0.6 = 3.5 4x = 3.5 - 0.6 (subtract 0.6 from both sides) 4x = 2.9 x = 2.9/4 (divide both sides by 4) x = 0.725

Therefore, by the algebra the answer will be 0.725 feet.

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If the distribution of the variable upon which the mean was derived is highly skewed to the right, it may be appropriate to use the t-test if the sample size is large enough.

When conducting research, the t-test is typically used to compare the means of two groups. One of the key assumptions of the t-test is that the population from which the sample was drawn follows a normal distribution.

However, if the distribution of the variable upon which the mean was derived is highly skewed to the right, it may not meet the normality assumption.

In this case, it is appropriate to use the t-test if the sample size is large enough. The t-test is based on the central limit theorem, which states that the sample mean tends to follow a normal distribution as the sample size increases, even if the population distribution is not normal. For large sample sizes (typically n > 30), the t-test is generally considered to be robust to violations of the normality assumption.

However, if the sample size is small, the t-test may not be appropriate, even if the sample mean follows a normal distribution. In this case, alternative statistical tests may be more appropriate. For example, the Wilcoxon rank-sum test can be used to compare the means of two groups when the normality assumption is not met.

In conclusion, if the sample size is small, alternative statistical tests may be more appropriate.

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The area A(x) of the rectangle in terms of the length x of one of its sides. A(x) = x(13-x).

A rectangle is really a closed two-dimensional geometry with four sides, four corners, and four right angles (90°). A rectangle's opposite sides are equal & parallel. Because  rectangles is a 2-D form, it has two dimensions: length and width.

Some characteristics of rectangle are-

Now, according to the question,

Let 'P' be the perimeter of the rectangle.

Perimeter = 2(Length + Breadth)

P = 2(L + B)

The perimeter is 26 meters.

26 = 2(L + B)

L + B = 13

B = 13 - L

Now, the area of the rectangle is given as;

Area = Length×Breadth

A = L×B

Substitute the value of B in area.

A = L×(13 - L)

Area in terms of length x, Put L =x

A(x) = x(13 - x)

Therefore, the area A(x) of the rectangle in terms of the length x of one of its sides. A(x) = x(13 - x).

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Answer:

The answer is 32

Step-by-step explanation:

First (6-2)= 4

Second 4+4= 8

Third 2+12+16= 30

and lastly 38-6= 32

HOPE THIS HELPED!

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\(\large\text{4 + 8 = 12}\)

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The maximum price Matthew can pay for the car, considering his repayment capability and the loan terms, is approximately $126,318.29.

To determine the maximum price Matthew can pay for the car, we need to consider his repayment capability and the terms of the loan.

Matthew can make annual repayments of $35,000. Since the loan term is six years, the total amount he can repay over the loan period is $35,000 multiplied by six, which equals $210,000.

To calculate the maximum price of the car, we need to account for the interest rate of 9.25%. The interest rate represents the cost of borrowing and is applied to the loan amount.

Let's assume the loan amount is denoted by P.

The formula to calculate the future value of a loan with interest is:

FV = P(1 + r)^n

Where:

FV = Future value (total amount repaid)

P = Principal amount (maximum price of the car)

r = Interest rate per period (9.25% or 0.0925)

n = Number of periods (six years)

Since Matthew can repay a total of $210,000 over the loan period, we can set up the equation:

$210,000 = P(1 + 0.0925)^6

Now we can solve for P:

P = $210,000 / (1 + 0.0925)^6

Evaluating this expression, we find:

P ≈ $126,318.29

Therefore, the maximum price Matthew can pay for the car, considering his repayment capability and the loan terms, is approximately $126,318.29.

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Answer: 58 = h-9

Step-by-step explanation:

Answer:

the square root of the number 25 is 5

Step-by-step explanation:

Answer:

x = 14

Step-by-step explanation:

Since the triangles are similar then the ratios of corresponding sides are equal, that is

\(\frac{KL}{KN}\) = \(\frac{JL}{MN}\) , substitute values

\(\frac{32}{12}\) = \(\frac{3x-2}{x+1}\) ( cross- multiply )

12(3x - 2) = 32(x + 1) ← distribute both sides

36x - 24 = 32x + 32 ( subtract 32x from both sides )

4x - 24 = 32 ( add 24 to both sides )

4x = 56 ( divide both sides by 4 )

x = 14

For the given triangles ΔJKL ≈ ΔMKN, the value of x is, 4

Triangles with the same shape but different sizes are said to be similar triangles. Squares with any side length and all equilateral triangles are examples of related objects. In other words, if two triangles are similar, their corresponding sides are proportionately equal and their corresponding angles are congruent. Triangle resemblance is shown here by the symbol "≈"

Given that,

One right angle triangle, ΔJKL

one segment MN which is intersecting sides KJ & KL

ΔJKL has one similar triangle inside, which is ΔMKN

Triangle ΔJKL and ΔMKN are similar,

So, we can say ΔJKL ≈ ΔMKN

And it is known that

for similar triangles, ratio of lengths of sides are equal for similar triangles

so, KN/MN = KL/JL

⇒ (X + 1)/12 = (3X -2)/32

⇒ 32X + 32 = 36X - 24

⇒ 32 + 24 = 36X - 32X

⇒ 56 = 14X

⇒ X = 4

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The domain, range, relative maximum and minimum, the end behavior and the increasing as well as decreasing intervals are all represented below.

In the given function, we need to find the domain, range, relative maximum and minimum, the end behavior and the increasing as well as decreasing intervals.

The function;

f(x) = x⁴ - 4x³ + 3x² + 4x - 4

1. Domain: The domain of the function is all values along the x - axis

Domain = (-∞, ∞)

2. The range is the set of values that corresponds with the domain;

range : [(-9 + 6√3)/4, ∞)

3. The relative maximum of the function is; [(1 + √3)/2, - (9 - 6√3)/4]

4. The relative minimum of the function is  [(1 - √3)/2, - (9 - 6√3)/4]

5. The absolute minimum of the function does not exist

6. The end behavior of the function is "rises to the left and rises to the right"

7. The increasing and decreasing intervals are;  [(1 - √3)/2, (1 + √3)/2)], (2, ∞)

The decreasing interval is ;[-∞,  (1 - √3)/2],  [(1 + √3)/2, 2]

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Answer:

y = -1

Step-by-step explanation:

Notice that the line x = 9 is a vertical line, therefore a line perpendicular to it will be a horizontal line of the form y = constant number.

Since we want it to go through the point (9, -1), then we know that that y value needs to be "-1", and the equation of the line will be given by the expression:

y = -1

Answer:

y =1

Step-by-step explanation:

\((9,-1)=(x ,y)\\\\x =m_1 =9\\m_2 = \frac{-1}{m_1} = \frac{-1}{9} = -\frac{1}{9} \\\\Substitute \:the \:values\:into ;\\y =mx+b\\\\-1 =-\frac{1}{9} (9) +b\\-1 = -1+b\\-1+1 = b\\0 =b\\m= 1 \\Substitute\:the\:new\:values\:into ;\\y = mx+b\\y = 1 x +0\\ y= 1\)