Write the inequality to describe the relationship between: -1 2/3 and -1/4?


WILLING TO GIVE 50 POINTS!!!

a. the mean of the sampling distribution of the sample proportion is 0.46

b. the standard deviation of the sampling distribution of the sample proportion is 0.0498

c. he sample size is 100 in this case, we can assume that the sampling distribution of p^ is approximately normal.

d. the probability of having a z-score greater than 2.811 is equal to 1 - 0.9974 = 0.0026, or 0.26%.

e. the standard deviation of the sampling distribution by a factor is 0.0704

a. The mean of the sampling distribution of the sample proportion, denoted as μp^, is equal to the population proportion, which in this case is 46%.

μp^ = p = 0.46

the mean of the sampling distribution of the sample proportion is 0.46

b. The standard deviation of the sampling distribution of the sample proportion, denoted as σp^, can be calculated using the formula:

σp^ = √((p * (1 - p)) / n)

Where p is the population proportion (0.46) and n is the sample size (100).

σp^ = √((0.46 * (1 - 0.46)) / 100) = 0.0498

the standard deviation of the sampling distribution of the sample proportion is 0.0498

c. The sampling distribution of p^ is approximately normal due to the Central Limit Theorem (CLT). According to the CLT, when the sample size is sufficiently large (typically n ≥ 30), the sampling distribution of the sample proportion will be approximately normal, regardless of the shape of the population distribution. Since the sample size is 100 in this case, we can assume that the sampling distribution of p^ is approximately normal.

d. To find the probability that more than 60 households will own VCRs, we need to calculate the probability of getting a sample proportion greater than 0.6. We can standardize this value using the z-score formula:

z = (x - μp^) / σp^

Substituting the values, we have:

z = (0.6 - 0.46) / 0.0498 = 2.811

the probability of having a z-score greater than 2.811 is equal to 1 - 0.9974 = 0.0026, or 0.26%.

e. If the sample size is decreased from 100 to 50, the standard deviation of the sampling distribution of the sample proportion (σp^) would be multiplied by a factor of √(2), which is approximately 1.414. Therefore, the standard deviation would become:

New σp^ = σp^ * √(2) = 0.0498 * 1.414 = 0.0704

the standard deviation of the sampling distribution by a factor is 0.0704

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The mean of the sampling distribution of the sample proportion is 0.46. The standard deviation of the sampling distribution of the sample proportion is approximately 0.0498. The sampling distribution of p^ is approximately normal when the sample size is large enough. The probability that more than 60 households will own VCRs is approximately 0.0024. If the sample size is decreased from 100 to 50, the standard deviation of the sampling distribution would be multiplied by a factor of approximately 1.4142.

In statistics, a sampling distribution is the probability distribution of a given statistic based on a random sample. The sampling distribution of the sample proportion, denoted as p^, is the distribution of the proportions obtained from all possible samples of the same size taken from a population.

The mean of the sampling distribution of the sample proportion is equal to the population proportion. In this case, the population proportion is 46% or 0.46. Therefore, the mean of the sampling distribution of the sample proportion, denoted as μp^, is also 0.46.

The standard deviation of the sampling distribution of the sample proportion, denoted as σp^, is determined by the population proportion and the sample size. It can be calculated using the formula:

σp^ = √((p * (1 - p)) / n)

where p is the population proportion and n is the sample size. In this case, p = 0.46 and n = 100. Plugging in these values, we get:

σp^ = √((0.46 * (1 - 0.46)) / 100) = √((0.46 * 0.54) / 100) = √(0.2484 / 100) = √0.002484 = 0.0498

The sampling distribution of p^ is approximately normal when the sample size is large enough due to the Central Limit Theorem. This theorem states that the sampling distribution of a sample mean or proportion becomes approximately normal as the sample size increases, regardless of the shape of the population distribution. In this case, the sample size is 100, which is considered large enough for the sampling distribution of p^ to be approximately normal.

To calculate the probability that more than 60 households will own VCRs, we need to use the sampling distribution of p^ and the z-score. The z-score measures the number of standard deviations an observation is from the mean. In this case, we want to find the probability that p^ is greater than 0.6.

First, we need to standardize the value of 0.6 using the formula:

z = (x - μp^) / σp^

where x is the value we want to standardize, μp^ is the mean of the sampling distribution of p^, and σp^ is the standard deviation of the sampling distribution of p^.

Plugging in the values, we get:

z = (0.6 - 0.46) / 0.0498 = 2.8096

Next, we need to find the probability that z is greater than 2.8096 using a standard normal distribution table or a calculator. The probability is approximately 0.0024.

If the sample size is decreased from 100 to 50, the standard deviation of the sampling distribution of the sample proportion would be multiplied by a factor of:

√(n1 / n2)

where n1 is the initial sample size (100) and n2 is the final sample size (50). Plugging in the values, we get:

√(100 / 50) = √2 = 1.4142

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                     "

5

9x⁵=5

5y³=3

so 5>3=5

pls mark me as brainlist

Answer:

x=4

Step-by-step explanation:

combine like terms

divide to get the x by itself

you got it right. its 21.8

Trippi had a higher average growth rate than Stivers. Specifically, Trippi's geometric mean was 38.34%, while Stivers' geometric mean was 7.33%. This means that if you had invested in Trippi instead of Stivers, you would have earned a higher return on your investment.

To calculate the returns and growth factors for each year, we can use the following formulas:

Return (%) = (Ending Value - Beginning Value) / Beginning Value * 100

Growth Factor = Ending Value / Beginning Value

Using these formulas, we get the following table:

To calculate the geometric mean of each mutual fund, we can use the following formula:

Geometric Mean = (Growth Factor 1 * Growth Factor 2 * ... * Growth Factor n) ^ (1/n)

Using this formula, we get:

Stivers Geometric Mean = (1.1000 * 1.0455 * 1.2381 * 1.0769 * 1.0357 * 1.0345 * 1.1333 * 1.0294) ^ (1/8) = 1.0733

Trippi Geometric Mean = (1.1200 * 1.2504 * 1.3368 * 1.4413 * 1.5562 * 1.6969 * 1.8316 * 1.9982) ^ (1/8) = 1.3834

The difference in the geometric means between the two mutual funds indicates that Trippi has a higher average growth rate than Stivers over the 8-year period. Specifically, Trippi's growth rate was about 38.34% per year on average, while Stivers' growth rate was about 7.33% per year on average.

In summary, over the 8-year period, Trippi had a higher average growth rate than Stivers. Specifically, Trippi's geometric mean was 38.34%, while Stivers' geometric mean was 7.33%. This means that if you had invested in Trippi instead of Stivers, you would have earned a higher return on your investment.

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Answer:

375.6

Step-by-step explanation:

Answer:

4. rise

match the following definition with the correct term:

the vertical distance between two points on a line

1. run

2. rate of run

3. slope

4. rise

The p-value for the t-statistic of 2.13 with 15 degrees of freedom is 0.022. Based on our sample, we have evidence to suggest that the population mean is greater than 100 with a level of significance of 0.05.

In this hypothesis test, we are testing whether the population mean is greater than 100. We are given that the sample size is 16 and the t-statistic is 2.13. To find the p-value, we need to find the area to the right of the t-statistic under the t-distribution curve with 15 degrees of freedom. Using a t-table or calculator, we find that the area is 0.022.

To perform this hypothesis test, we can use the following steps:
1. State the null and alternative hypotheses:
H0: μ = 100
Ha: μ > 100
2. Choose the level of significance α:
Assuming a level of significance of 0.05, which is a common choice, we have α = 0.05.
3. Calculate the test statistic:
We are given that the t-statistic is 2.13.
4. Find the p-value:
To find the p-value, we need to find the area to the right of the t-statistic under the t-distribution curve with 15 degrees of freedom. Using a t-table or calculator, we find that the area is 0.022.
5. Make a decision:
Since the p-value is less than the level of significance, we reject the null hypothesis. We have evidence to suggest that the population mean is greater than 100.

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A slope of b = 0.007 indicates a weak positive relationship between the two variables, where a small increase in the independent variable corresponds to a small increase in the dependent variable.

The slope of a linear relationship represents the rate of change between two variables. In this case, a slope of b = 0.007 suggests a weak positive relationship between the variables. The positive sign indicates that as the independent variable increases, the dependent variable also tends to increase. However, the small value of 0.007 indicates that the increase in the dependent variable is relatively small for each unit increase in the independent variable.

To illustrate, let's consider an example where the independent variable represents time and the dependent variable represents the number of customers in a store. With a slope of 0.007, it means that for every unit increase in time (e.g., one hour), we can expect a small increase of 0.007 customers on average. This indicates a weak positive relationship, as the increase in customers is relatively modest for each unit increase in time.

In summary, a slope of b = 0.007 indicates a weak positive relationship between the two variables, where a small increase in the independent variable corresponds to a small increase in the dependent variable.

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Answer:

25th Percentile: 1.5

50th Percentile: 3

75th Percentile: 4.5

Interquartile Range: 3

Let's analyze the statements made by Sean and Candice.

Sean says that to add a number to -100 and still have -100, the result must be zero.

Mathematically, if we have -100 + x = 0, where 'x' represents the number being added, we can solve for 'x':

-100 + x = 0

x = 100

So, according to Sean's statement, the number that needs to be added to -100 is 100 in order to obtain zero as the result.

On the other hand, Candice says that she can add two numbers to -100 and still have -100. Mathematically, this means:

-100 + a + b = -100

In this case, we can see that any values for 'a' and 'b' that satisfy the equation will work. For example, if a = 0 and b = 0, we have:

-100 + 0 + 0 = -100

Alternatively, if a = 50 and b = -50, we also have:

-100 + 50 + (-50) = -100

Therefore, Candice's statement is valid, and we can indeed add two numbers to -100 and still have -100.

In summary:

Sean's statement: To add a number to -100 and still have -100, the number that needs to be added is 100.

Candice's statement: We can add two numbers to -100 and still have -100. The values of those two numbers can vary.

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x = -3h when h is blank

x= -12 when h = 4

Answer:

Step-by-step explanation:

x=        -2(h+1)

x  =        -2h-2

x   =        -2(4)-2

x    =       -8-2

x    =        -10

Answer: -4

......................

Answer:

15

Step-by-step explanation:

lets make an equation and solve it (its easier)

130=8x+10

130-10=8x

120=8x

x=120/8=15 hours

Answer:

The least degree of the polynomial that assures an error smaller than 0.001 is 4.

The Lagrange error bound for the Taylor polynomial of degree n centered at x=2 for e^x is given by:

```

|e^x - T_n(x)| < \frac{e^2}{(n+1)!}|x-2|^{n+1}

```

where T_n(x) is the Taylor polynomial of degree n centered at x=2.

We want the error to be less than 0.001, so we have:

```

\frac{e^2}{(n+1)!}|x-2|^{n+1} < 0.001

```

We can solve for n to get:

```

n+1 > \frac{e^2 \cdot 1000}{|x-2|}

```

We know that |x-2| = 0.45, so we have:

```

n+1 > \frac{e^2 \cdot 1000}{0.45} \approx 6900

```

Therefore, n > 6899.

The least integer greater than 6899 is 6900, so the least degree of the polynomial that assures an error smaller than 0.001 is 4.

The fourth-degree Taylor polynomial centered at x=2 for e^x is given by:

```

T_4(x) = 1 + 2x + \frac{x^2}{2} + \frac{x^3}{6} + \frac{x^4}{24}

```

We can use this polynomial to estimate e^1.45 as follows:

```

e^1.45 \approx T_4(1.45) = 4.38201

```

The actual value of e^1.45 is 4.38202, so the error in this approximation is less than 0.001.

Step-by-step explanation:

Answer:

first, second and fourth are all correct

Step-by-step explanation:

When given that points a, b, and c are collinear and b lies between a and c, with ac = 48, ab = 2x + 2, and bc = 3x + 6, we can determine that bc equals 30.

Points a, b, and c are collinear, with point b lying between points a and c. Given that

ac = 48,

ab = 2x + 2, and

bc = 3x + 6,

we can solve for the value of bc.
To find the value of bc, we need to determine the value of x. We know that

ac = ab + bc,

so we can set up the equation

48 = 2x + 2 + 3x + 6.
Combining like terms, we get

48 = 5x + 8.
Subtracting 8 from both sides, we have

40 = 5x.
Dividing both sides by 5, we find that

x = 8.
Now that we know x, we can substitute it back into the expression for

bc: bc = 3(8) + 6.
Simplifying, we get bc = 30.
Therefore, bc is equal to 30.
In conclusion, when given that points a, b, and c are collinear and b lies between a and c, with

ac = 48,

ab = 2x + 2, and

bc = 3x + 6,

we can determine that bc equals 30.

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The length of BC is 30.

To find the length of BC, we need to find the value of x.

Given that AB = 2x + 2 and BC = 3x + 6, we know that AB + BC = AC (according to the segment addition postulate).

So, (2x + 2) + (3x + 6) = 48.

By combining like terms, we get 5x + 8 = 48.

To isolate x, we subtract 8 from both sides:

5x = 48 - 8.

This simplifies to 5x = 40.

Finally, we divide both sides by 5:

x = 40 ÷ 5 = 8.

Now that we know x = 8, we can substitute it back into the expression for BC:

BC = 3x + 6 = 3(8) + 6 = 24 + 6 = 30.

Therefore, the length of BC is 30.

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A manufacturing company has determined that the daily revenue R(n) in thousands of dollars is given by the formula R(n) = 12n - 0.6n where n represents the number of palettes of product sold (0 < n < 500).

If the company wishes to make a revenue of 45 thousand dollars, we are supposed to find the number of palettes of product sold .Solution :Let us substitute the value of R(n) = 45 in the given equation and solve for n45 = 12n - 0.6n45 = 11.4n, n = 3.9474Hence, the manufacturing company has to sell either 3 or 4 palettes of product to make $45.000.

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Answer:

x=5 Brainliest would be nice :)

Step-by-step explanation:

Answer:

It would be 123

Step-by-step explanation:

Answer:

Please see table completed attached

Yes, there are several patterns, since these two trigonometric functions are periodic with same periodicity, and also satisfy the Pythagorean identity for the same angle.

Step-by-step explanation:

Notice that we are asked about a table of trigonometric functions for the so called "special angles" which render values associated with half of the square root of a counting number between 0 and 4:

\(\frac{\sqrt{0} }{2}=0 \\\frac{\sqrt{1} }{2}=\frac{1}{2} \\\frac{\sqrt{2} }{2}\\ \frac{\sqrt{3} }{2}\\ \frac{\sqrt{4} }{2}=\frac{2}{2} =1\)

These two trigonometric functions also satisfy the Pythagorean identity for any angle \(\theta\) in the unit circle, so the equality to one will always be true:

\(sin^2(\theta)+cos^2(\theta)=1\)

They are also periodic functions of period \(2\,\pi\), so their resulting values will be repeated with that periodicity.

Climate change is a pressing problem that requires immediate action. The case study of the Great Barrier Reef and the statistics regarding rising temperatures and increasing extreme weather events clearly demonstrate the severity and increasing nature of this problem. It is essential for individuals, communities, and governments to come together to mitigate climate change and protect the planet for future generations.

Problem: Climate Change

Explanation: Climate change is a global issue that needs to be urgently addressed. Rising temperatures, extreme weather events, and melting glaciers are just a few examples of the detrimental effects of climate change. It is crucial to understand the severity of this problem through a case study.

Case Study: In recent years, the Great Barrier Reef, located in Australia, has experienced significant bleaching events due to warmer ocean temperatures caused by climate change. Coral bleaching occurs when coral polyps expel the algae living in their tissues, leading to the coral turning white and eventually dying. This case study highlights the devastating impact of climate change on one of the world's most biodiverse ecosystems.

Proof the problem is increasing - Statistics:

1. According to the National Aeronautics and Space Administration (NASA), the Earth's average surface temperature has risen by about 1.1 degrees Celsius since the late 19th century, with most of the warming occurring in the past few decades.

2. The Intergovernmental Panel on Climate Change (IPCC) reports that the frequency and intensity of extreme weather events, such as hurricanes, heatwaves, and droughts, have been increasing over the past few decades.

3. The World Wildlife Fund (WWF) states that since 1970, global wildlife populations have declined by an average of 68%, primarily due to habitat destruction, pollution, and climate change.

Conclusion: Climate change is a pressing problem that requires immediate action. The case study of the Great Barrier Reef and the statistics regarding rising temperatures and increasing extreme weather events clearly demonstrate the severity and increasing nature of this problem. It is essential for individuals, communities, and governments to come together to mitigate climate change and protect the planet for future generations.

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Answer: (x - 2) ^2 + (y - 6) ^2 = 25

Answer:

Step-by-step explanation:

From the graph we see that

Use circle formula:

Substitute values to get required equation:

Answer:

1-B
2-E

3-D

4-A

5-C

Step-by-step explanation:

-4x + 3y = 3

3y = 4y + 3

y = 4/3 y + 1 => slope is 4/3, y-intercept is (0,1)

Equation 1 matches with Letter B

12x - 4y = 8

4y = 12x - 8

y = 3x - 2 => slope is 3, y-intercept is (0,-2)

Equation 2 matches with Letter E

8x + 2y = 16

2y = -8x + 16

y = -4x + 8 => slope is -4, y-intercept is (0,8)

Equation 3 matches with Letter D

-x + 1/3 y = 1/3

1/3 y = x + 1/3

y = 3x + 1 => slope is 3, y-intercept is (0,1)

Equation 4 matches with Letter A

-4x + 3y = -6

3y = 4x = -6

y = 4/3 x - 2 => slope is 4/3, y-intercept is (0,-2)

Equation 5 matches with Letter C

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Answer:

14/3 as an improper fraction

Step-by-step explanation:

Step-by-step explanation:

3/2

if i was i your class or in bigger class i will help you

The product in diagram A is: (3x)*(2x + 3y)

And the product in diagram B is: 5a*(8a + 3)

Let's start with the diagram A, we can define the long stripe as x and the short one as y.

On the top side we can see 3x.

On the left side we can se 2x + 3y

Then the product modeled is just:

(3x)*(2x + 3y)

Now let's go to diagram B.

Here we can see that the left side has a length 5a, and then we have two top sides, so this can be written as a sum:

8a + 3

The product between these two quantities is:

p = 5a*(8a + 3)

These are the two products.

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