plsss ined help. 1 what is the common difference and the next thre terms of the sequence. 4, 7, 10, 13, 16, ...

Answer:

Each one of the ten people has to shake hands with all the $20$ other people they don’t know. So $10\cdot20 = 200$. From there, we calculate how many handshakes occurred between the people who don’t know each other. This is simply counting how many ways to choose two people to shake hands from $10$, or $\binom{10}{2} = 45$. Thus the answer is $200 + 45 = \boxed{\textbf{(B)}\ 245}$.

Step-by-step explanation:

Answer:

your anwser would be 10 handshakes please mark brainliest i need it bad

Step-by-step explanation:

The Volume of the cylinder is 90π cubic inches.

The volume of a right circular cylinder, we can use the formula:

Volume = π * r^2 * h

Where π is the mathematical constant pi (approximately 3.14159), r is the radius of the cylinder's base, and h is the height of the cylinder.

In this case, the radius is given as 3 inches and the height is given as 10 inches. Let's substitute these values into the formula:

Volume = π * (3^2) * 10

      = π * 9 * 10

      = 90π cubic inches

Therefore, the volume of the cylinder is 90π cubic inches.

In the answer choices provided:

a. 30π in³

b. 60π in³

c. 90π in³

d. 120π in³

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1. The null hypothesis is H₁: μ = 40 and the alternative hypothesis is H₁: μ ≠ 40

2. The level of significance, alpha (a), is 0.05

3. The test statistic is the z-statistic.

4. The rejection region consists of the values that fall outside the critical test statistic.

5. Tthe z-statistic is 2.88

6. We can reject the null hypothesis.

We are solving based on the provided steps:

Step 1. State the null and research hypotheses:

Step II. State the level of significance, alpha (a):

The level of significance, alpha (a), is 0.05, which relates to a 95% confidence level.

Step III. Select a sampling distribution and state the test statistic:

Since the sample size (n = 81) is greater than 30, we shall use the z-test.

The test statistic is the z-statistic.

Step IV. State the rejection region (critical test statistic):

Since we have a two-tailed test and an alpha level of 0.05, we divide the alpha value equally between the two tails, resulting in an alpha/2 (0.05/2 = 0.025).

To find the critical test statistic, we look up the z-value corresponding to the 0.025 significance level in the standard normal distribution table.

The rejection region consists of the values that fall outside the critical test statistic.

Step V. Then, we calculate the research test statistic to see if it falls in the rejection region:

The formula to calculate the z-statistic is:

z = (x-bar - μ) / (σ / √n)

Where:

Given:

x-bar = 44.1

μ = 40

σ = 12.8

n = 81.

Substitute the values:

z = (44.1 - 40) / (12.8 / √(81))

z = 4.1 / (12.8 / 9)

z = 4.1 / 1.422

z ≈ 2.88

Step VI: State your conclusion in terms of the problem:

After comparing the research test statistic to the critical test statistic from step 5, we find that the z-value of 2.88 falls in the rejection region.

In conclusion, we can reject the null hypothesis.

Hence,

a) Using the sample data from the 2010 GSS, there is evidence to suggest that the population mean workweek for workers is different from 40 hours per week.

b) The research test statistic, with a value of 2.88, falls within the rejection region when compared to the critical test statistic. So, the null hypothesis is rejected.

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Answer:

19 shows direct variation

20 does not (guessing for this one a bit)

19- Shows a steady increase of four in y for each one in x

20- Shows no increase

Step-by-step explanation:

19 is a constant increase by 4, 20 does not show either

Here is sufficient evidence that revenue and the number of downloads are linearly related.

A computer software developer would like to use the number of downloads for the trial version of his new shareware to predict the amount of revenue.

The Null hypothesis is the common statistical theory that asserts that no statistical relationship or significance exist between two sets of observed data and measure phenomena based on a single observed variable.

Therefore the null hypothesis become,

H₀ : ρ₁ = 0

and the adjacent hypothesis will become,

H₁ : ρ ≠ 0

Now we will calculate test statistic,

t = r × \(\sqrt{\frac{n-2}{1-r^{2} } }\)

 = (0.8691) × \(\sqrt{\frac{30 - 2}{0.1309^{2} } }\)

t = 9.2974

we know that degree of freedom = n - 2 = 28

p-value at t = 9.2974 is 0.00

α = 0.05

since p-value < α

so null hypothesis will be rejected.

Hence we can say that there is sufficient evidence that revenue and the number of downloads are linearly related.

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Answer:

x = -0.70,-2.212.

Step-by-step explanation:

(a) The quadratic equation is :

\(6x^2 + 17x + 9 = 0\)

Here,

a = 6, b = 17, c = 9

Put all the values in the quadratic formula.

\(x=\dfrac{-17+\sqrt{17^2-4\times 6\times 9}}{2(6)},\dfrac{-17-\sqrt{17^2-4\times 6\times 9}}{2(6)}\\\\x=-0.70,-2.12\)

So, the solution of the given equation are -0.70,-2.212.

(b) Equation is : \(4x^2 -4x + 1 = 0\).

Here, a = 4, b = -4 and c = 1

So,

\(x=\dfrac{-(-4)+\sqrt{(-4)^2-4\times 4\times 1}}{2(4)},\dfrac{-(-4)-\sqrt{(-4)^2-4\times 4\times 1}}{2(4)}\\\\x=0.5,0.5\)

Hence, this is the required solution.

Answer:

its pr

Step-by-step explanation:

because im smart

Answer:

b = 17.318    height = 23.318 ft

Step-by-step explanation:

This IS very similar to the other one, Emily..... Have you tried to solve it the same way?

b =   152 tan 6.5  = 17.318 ft      (using a calculator)

    add the height of the victim's head (6 ft)

17.318 + 6 = 23.318 ft

Answer:

\(1.8 \text{ x } 10^5\)

Step-by-step explanation:

Hello!

To multiply terms, we multiply the like terms.

Like terms:

Like terms are terms with the same degree or base. In this example, 1 and 1.8 are like terms by degree, and 10² and 10³ are like by base.

Multiply:

That's your solution! 1.8 x 10^5

If the average square footage in an apartment in a town is 1,800 square feet with a standard deviation of 120 square feet, the square footage is normally distributed and if you randomly select 10 apartments in the town, then the probability that the mean will be more that 1900 square feet is 0.46%

To find the probability, follow these steps:

Therefore, the probability that the mean will be more than 1900 square feet is approximately 0.0046, or 0.46%.

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Answer:

Yes

Step-by-step explanation:

The given length of sides are \(5\) feet, \(6\) feet, and \(9\) feet.

For these sides to form a triangular truss, the sum of any two sides must be greater than the third side.

Here, \(5+6=11\) which is greater than \(9\), the third side.

Similarly, \(6+9=15\) which is greater than \(5\), and \(5+9= 14\) which is greater than \(6\).

So, this satisfies the conditions to the three sides to form a triangle.

Hence, yes, the triangular truss can be made by the given three sides.

Answer:

The value of X is any real number R or imaginary number iR given that X is “arbitrary”, which is what your question articulates. What's X? X can be any number.

Step-by-step explanation:

x is anything that has an imaginary value

18 Kilos

Step-by-step explanation:

2646 /147 = 18

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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60+90=180

=150

180-150

= -30

brainyest pls

The distance of the jungle gym to swing is 120 feet.

We have given that the diagram

we have to find the distance between jungle gym and swings is,

suppose that x is shorter length then the hypotenuse is 2x and  \(x\sqrt{3}\)

is the longer length

By using the Pythagoras formula we have

The length of CA is,

\(CA=60(2)=120\)

Therefore the distance of the jungle gym to swing is 120 feet.

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The largest open interval where the function f(x) = 1/(x^2+1) is increasing is (-∞, 0) ∪ (0, ∞). On this interval, the function is increasing from negative infinity to zero and from zero to positive infinity.

Explanation:

To find where the function is increasing, we need to find where the first derivative of the function is positive. Taking the derivative of f(x), we get:

f'(x) = (-2x) / (x^2 + 1)^2

The denominator of this expression is always positive, so the sign of f'(x) is determined by the numerator. The numerator is negative for x < 0 and positive for x > 0. Therefore, f(x) is decreasing on (-∞, 0) and increasing on (0, ∞).

We also need to check the endpoints of these intervals to make sure that the function is increasing on the entire interval. As x approaches negative infinity, the function approaches 0, and as x approaches positive infinity, the function approaches 0. Therefore, the function is increasing on (-∞, 0) ∪ (0, ∞).

In summary, the largest open interval where the function f(x) = 1/(x^2+1) is increasing is (-∞, 0) ∪ (0, ∞). On this interval, the function is increasing from negative infinity to zero and from zero to positive infinity.

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Answer:E no.is missing....

Step-by-step explanation:

I hope I am right.....

Answer:

Its E

Step-by-step explanation:

I just got it right

Answer:

:An object floats in water if its mass is less than

its volume.

as density =mass/volume

Answer:

Option D

Step-by-step explanation:

The table is meaningless for you if you know the basics of density

Water has density 1g/cm³

The density should be less than 1 in order to float

Answer:

c

Step-by-step explanation:

Answer:

the first one

Step-by-step explanation:

Answer:

ans -------8/5 pansnhshshsh

Step-by-step explanation:

sureeeeeeeeeeeesureeeeeeeeeeee

Explanation:

Ashton wants to divide 6 pounds of pecans between 5 neighbors. We have to divide 6 by 5 and write it as a mixed number, because we'll get an improper fraction:

Answer:

The correct option is C 1 1/5 pounds

The characteristics of the correlation coefficient are A. It must be between -1 and 1. C. If the correlation is positive, the slope of the regression line is also positive. E. The correlation coefficient tells you how strong the residuals are.

The correlation coefficient is a statistical measure that quantifies the strength and direction of the linear relationship between two variables. It ranges from -1 to 1, where -1 indicates a perfect negative correlation, 0 indicates no correlation, and 1 indicates a perfect positive correlation. Therefore, option A is correct.

Regarding option B, the correlation coefficient does not indicate the percentage of points that lie on the regression line. Instead, it measures the overall strength and direction of the relationship between the variables.

Option C is correct because if the correlation is positive, it means that as one variable increases, the other variable tends to increase as well. This positive relationship is reflected in the positive slope of the regression line.

Option D is incorrect because the correlation coefficient can be positive, negative, or zero, depending on the nature of the relationship between the variables.

Option E is correct. The correlation coefficient provides information about the strength of the relationship between the variables, which can be used to assess the strength of the residuals or the deviations from the regression line.

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9514 1404 393

Answer:

  47 -6√10

Step-by-step explanation:

As you know, the area of a square is the square of the side length. It can be helpful here to make use of the form for the square of a binomial.

  (a -b)² = a² - 2ab + b²

  (√2 -3√5)² = (√2)² - 2(√2)(3√5) + (3√5)²

  = 2 - 6√10 + 3²(5)

  = 47 -6√10

__

Check

  √2-3√5 ≈ -5.29399 . . . . . . . . note that a negative value for side length makes no sense, so this isn't about geometry, it's about binomials and radicals

  (√2-3√5)² ≈ 28.02633

  47 -6√10 ≈ 28.02633

The quadratic example is ax² + b x + c = 0 where x stands for an unknown value and where a, b, and c stand for known numbers is known as a quadratic equation in algebra.

Quadratic equations are second-degree polynomial equations with at least one squared term. It is also referred to as quadratic equations.

The numerical coefficients a, b, and c are known, while the unknown variable x is. For example , x2 + 2x + 1. It also goes by the name quadratic equation as in: b x +c=0    

The terms a, b, and c are also referred to as quadratic coefficients.    

'Examples of Quadratics

x² –x – 9 = 0

5x² – 2x – 6 = 0
3x² + 4x + 8 = 0

-x² +6x + 12 = 0  (an example of non-quadratic equation is x³ − x² − 5 = 0)

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The variable expression Nemo could have written either "7x" or "x * 7" to represent "the product of a number and 7."

We have,

Nemo could have written the following two correct variable expressions to represent the phrase "the product of a number and 7":

= 7x

In both expressions, "x" represents the unknown number, and the product of "x" and 7 is obtained by either multiplying "x" by 7 (7x) or by multiplying 7 by "x" (x * 7).

Both expressions are equivalent and correctly represent "the product of a number and 7."

Thus,

The variable expression Nemo could have written either "7x" or "x * 7" to represent "the product of a number and 7."

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Answer:

0.076 or 4.409 try both its one of those two

Step-by-step explanation:

The stress function satisfies the conditions of compatibility for a two-dimensional problem.

Given stress function is 50x² - 60xy - 70y²

To determine whether the stress function satisfies the conditions of compatibility for a two-dimensional problem, it is required to find the strains and then check for compatibility equations.

Strain components are given as,

εx = ∂υ/∂x + (du/dx)

εy = ∂υ/∂y + (du/dy)

γxy = ∂υ/∂y + (du/dx)

Here,

υ = 50x² - 60xy - 70y²

du/dx = 100x - 60

ydu/dy = -60x - 140y

∂υ/∂x = 100x - 60y

∂υ/∂y = -60x - 140y

∂²υ/∂y² = -140

∂²υ/∂x² = 100

Now,εx = 100x - 60

yεy = -140y - 60

xγxy = -60y - 60x

Taking derivative of εy w.r.t x,

∂(εy)/∂x = -60

Similarly, taking derivative of εx w.r.t y,

∂(εx)/∂y = -60

∴ The stress function satisfies the conditions of compatibility for a two-dimensional problem.

Stress components are given as,

σx = (C11εx + C12εy)

σy = (C21εx + C22εy)

τxy = (C44γxy)

Here,C11 = C22 = 100, C12 = C21 = -60 and C44 = 0

Therefore,

σx = 100(100x - 60y) - 60(-140y - 60x)

= 19600x - 8800

yσy = -60(100x - 60y) + 100(-140y - 60x)

= -19600y + 8800x

τxy = 0

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