HELP ASAP 20 POINTS 7th grade math

The value of the fraction -5/7 and -4/7 added and subtracted from the fraction -21/2 added to 1/22 is 64/77.

The sum of 1/2 and -21/22 can be found by finding a common denominator,

1/2 = 11/22 (since 11 x 2 = 22)

-21/22 = -21/22

Therefore, the sum of 1/2 and -21/22 is,

= 11/22 - 21/22

= -10/22 = -5/11

The sum of -4/7 and -5/7 is,

-4/7 - 5/7 = -9/7

Now, subtracting as asked in the question.

= (-5/11)-(-9/7)

= (-5/11)+(9/7)

Finding common denominator to add the fractions,

7 x 11 = 77

(-5x7)/(11x7)+(9x11)/(7x11)

= -35/77 + 99/77

Now, we can combine the numerators,

-35/77 + 99/77 = 64/77

Therefore, the final answer is 64/77.

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The mean, median and mode for the data-set in this problem is given as follows:

Before obtaining the measures, we obtain the ordered data-set, as follows:

200, 202.6, 228.7, 281.4, 334, 356.2, 359, 453, 652.7, 936.5.

The mean is given by the sum of all observations divided by the number of observations, hence:

Mean = (200 + 202.6 + 228.7 + 281.4 + 356.2 + 334 + 359 + 453 + 652.7 + 936.5)/10

Mean = $400.41 million.

The data-set has an even cardinality, hence the median is given by the mean of the two middle elements, as follows:

Median = (334 + 356.2)/2

Median = $345.1 million.

The data-set does not have a mode, as there is no observation that appears more than once. The mode of a data-set is the observation that appears the most times in a data-set.

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The equation for f(x) = 8/3 - 4x/3

We have function

[tex]f^{-1[/tex](x) = -3/4x + 2

let [tex]f^{-1[/tex](x) = y

So, y= -3/4x + 2

Now, solve the above equation for x we get

y -2 = -3/4x

-3x = 4y- 8

-x= 4y/3 - 8/3

x= 8/3 - 4y/3

Thus, the equation for f(x) = 8/3 - 4x/3

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The equivalent value of the exponential equation is A = -5m⁻³n²p⁻²

Given data ,

Let the exponential equation be represented as A

Now , let the first expression be p = 25m³n⁵p

Let the second expression be q = -5m⁶n²p³

Now , A = p / q

On simplifying , we get

From the laws of exponents , we get

mᵃ / mᵇ = mᵃ⁻ᵇ

A = ( -25/5 ) m³⁻⁶n⁵⁻²p¹⁻³

A = -5m⁻³n²p⁻²

Hence , the equation is A = -5m⁻³n²p⁻²

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The complete question is attached below :

Simplify 25m³n⁵p over -5m⁶n²p³ equals?

The correct answer is d. 1, 3. Both paralleling and bite-wing techniques use the same principles of horizontal angulation.

Horizontal angulation refers to the angle at which the X-ray beam is directed from the X-ray tube towards the film or sensor, perpendicular to the long axis of the teeth. Correct horizontal angulation is crucial for obtaining accurate and clear radiographic images.
In the paralleling technique, the film or sensor is placed parallel to the long axis of the teeth, and the X-ray beam is directed perpendicular to both the teeth and the film/sensor. This technique reduces distortion and provides a more accurate representation of the teeth and surrounding structures.
The bite-wing technique is primarily used for interproximal (between teeth) radiography, capturing images of the crowns of the upper and lower teeth and the alveolar bone in a single exposure. The film or sensor is placed in the mouth with a tab or holder, and the patient bites down to stabilize it. The X-ray beam is directed at the same horizontal angle as in the paralleling technique, ensuring proper alignment with the teeth and film/sensor.
Although the bisecting technique also involves angulation, it uses a different principle known as the bisector angle. In this method, the film or sensor is positioned closer to the teeth, and the X-ray beam is directed at an angle between the long axis of the teeth and the film/sensor, creating a theoretical bisector. This technique may result in some image distortion compared to the paralleling and bite-wing techniques.

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The techniques Paralleling, Bisecting, and Bite-wing all use the principles of horizontal angulation in Dentistry. This angulation refers to the direction of the x-ray beam, which is adjusted in each of these methods to produce the optimal dental image.

The techniques that use the principles of horizontal angulation are Paralleling, Bisecting, and Bite-wing. This means the correct answer is 1, 2, 3 (option a). Horizontal angulation refers to the angle in which the beam of the x-ray is projected. In Dentistry, it signifies the movement of the x-ray tube head in a horizontal plane. For all three techniques, the x-ray beam's angulation is adjusted horizontally in order to attain the desired image.

Paralleling technique requires the dental film, tooth, and x-ray beam to be parallel to each other. Bisecting involves angulating the x-ray beam to correctly intercept the angle formed by the film and tooth. Bite-wing method also uses horizontal angulation by aligning the x-ray beam perpendicular to the curvature of the arch and the film.

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The area of the polygon to the nearest tenth is 471.7 units²

A polygon is any closed curve consisting of a set of line segments (sides) connected such that no two segments cross. Examples of polygon include triangle, quadrilateral, pentagon e.t.c.

The area of a polygon is expressed as;

A = 1/2( asn)

where a is the apothem and s is the side length and n is the number of side.

To calculate the area, we have to know the side length.

side length = apothem × 2tan(180/n)

= 12 × 2 tan(180/9)

= 12 × 2 × 0.364

= 8.736

Therefore area of the polygon

= 1/2 × 12 × 8.736 × 9

= 943.49/2

= 471.7 units² (nearest tenth)

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Since this p-value is greater than the typical significance level of 0.05, we would fail to reject the null hypothesis and conclude that there is not enough evidence to support the claim that the population mean of the variable is greater than 1.

A null hypothesis is a type of statistical hypothesis that proposes that no statistical significance exists in a set of given observations. Hypothesis testing is used to assess the credibility of a hypothesis by using sample data. Sometimes referred to simply as the "null," it is represented as H0.

To find the p-value of the test, we need to use a Z-table or calculator to look up the area to the right of -0.6 under the standard normal distribution. This is because the alternative hypothesis is that the population mean is greater than 1, so we are interested in the right tail of the distribution.

The area to the right of -0.6 is 0.7257. This means that the probability of getting a sample mean as extreme as or more extreme than the one we observed (assuming the null hypothesis is true) is 0.7257. In other words, the p-value of the test is 0.7257.

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The estimated number of people in the city who spend between 10 - 14 hours a week on social media, is 24, 187 people .

The survey showed that 90 people out of 350 would spend about 10 - 14 hours a week on social media. In percentage terms, this would be:

= 90 / 350 x 100 %

= 25. 7 %

The survey can be applied to the entire population of Sunrise, FL to find out the approximate number of people in the town who spend between 10 - 14 hours on social media. This number would be:

= Percentage shown by survey x Population

= 25. 7 % x 94, 060

= 24, 187 people

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The first part of the question is:

A survey showed that out of 350 people in Sunrise, FL, 90 people spend between 10 - 14 hours a week on social media.

Expression 5 + (12.8 ÷ 3.2) represents the phrase 5 + the quotient of 12. 8 and 3. 2 and option (a) is the correct answer.

Expressions refer to a phrase with at least two numbers or variables with any mathematical operations such as addition, exponents, etc. x - 6, 9 + 4y, and 6a are all examples of mathematical expressions.

Equations refer to a sentence when two expressions are equated with the help of '='. x - 6 = 6a is an example of an equation.

In phrase 5+ the quotient of 12. 8 and 3. 2

We divide the phrase into different mathematical operations.

The first operation is of addition with 5, we can write the beginning as 5 + ...

The next operation is division in the phrase the quotient of 12. 8 and 3. 2 which is added to the expression and we get 5 + (12.8 ÷ 3.2)

And we get our answer.

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The complete question might be :

Which expression represents the phrase 5+ the quotient of 12. 8 and 3. 2?

a. 5 + (12.8 ÷ 3.2)

b. 5 - (12.8 + 3.2)

c. 5 + (12.8 * 3.2)

d. none of the above

Based on the information provided and the mention of a "national polling scenario," the most appropriate statistical procedure to use would be a two-sample z-test for proportions.

Based on the given research question in the national polling scenario, the appropriate statistical procedure that should be used is regression analysis. Regression analysis helps to examine the relationship between two variables, which in this case would be the dependent variable (the poll results) and the independent variable (the factors that may influence the poll results). This would allow researchers to determine which variables are significantly related to the poll results and to predict the future trends of the poll results. Therefore, the answer is "a t-test for the slope of a regression line".
This test compares the proportions between two independent groups, which is commonly used in polling and survey analysis to determine if there is a significant difference between the groups.

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Answer:

Step-by-step explanation:

the standard equation for the circle is:

(x-a)²+(y-b)² = r²

the center is : A(a,b)    and ridus r

you have : a= 2 and b= - 3   r²= (3-2)²+(5+3)²= 1+ 64

r² 65    

the standard equation for the circle is:

(x-2)²+(y²+3 )=65

The area to the left of z=1.07 is approximately 0.8577 (rounded to four decimal place. To find the area under the standard normal curve to the left of z = 1.07 using a TI-84 calculator.

Follow these steps:

1. Press the "2nd" button, then press "Vars" to access the "DISTR" menu.
2. Scroll down to "normalcdf(" and press "Enter".
3. Enter -99999 (or -E99) as the lower limit, since we want to find the area to the left of z = 1.07, which is very close to negative infinity.
4. Enter 1.07 as the upper limit, since we want to find the area to the left of this value.
5. Enter 0 as the mean, since we're working with the standard normal distribution.
6. Enter 1 as the standard deviation, since we're working with the standard normal distribution.
7. Press "Enter" to calculate the area.

The answer should be approximately 0.8577 when rounded to four decimal places.

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The indefinite integral is: ∫(1/(x^2+1))dx = ln|x^2 + 1| + c, where c is the constant of integration

To find the indefinite integral by making a change of variables, we can use the substitution method. Let u be the denominator of the integrand, so we can write:

∫(1/(x^2+1))dx = ∫(1/u) * (du/dx) dx

To find du/dx, we differentiate both sides of u = x^2 + 1 with respect to x:

du/dx = 2x

Substituting this into our integral, we get:

∫(1/u) * (du/dx) dx = ∫(1/u) * (2x) dx

Now we can make a change of variables by letting f(u) = ln|u|. Using the chain rule, we have:

df/du = 1/u

Substituting this into our integral, we get:

∫(1/u) * (2x) dx = 2∫(df/du) * x dx

Integrating with respect to x, we get:

2∫(df/du) * x dx = x * ln|u| + c

Substituting u = x^2 + 1, we get:

x * ln|u| + c = x * ln|x^2 + 1| + c

Therefore, the indefinite integral is:

∫(1/(x^2+1))dx = ln|x^2 + 1| + c, where c is the constant of integration.

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Answer:

y = -1/4x -17/4

Step-by-step explanation:

find answer attached...

The force that is applied to move the object is obtained as 25.4 N

Let us recall that in physics work is the product of the force and the distance that is covered.

W = F * d

where W is the amount of work completed, F is the force applied, d is the distance traveled, and theta is the angle formed by the force's and the displacement's directions.

Thus we have;

Work = Force * distance

Force = Work/Distance

= 350J/13.8 m

= 25.4 N

The force that is applied is 25.4 N

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The formula you provided is used to calculate the required sample size for a two-tailed test with a confidence level of 95%.

The condition for using this formula is that the sample size is not given and needs to be determined. This formula is not a derivative of any other formula, but rather a standalone equation used in statistics to determine sample size.

In the case where you want to determine the required sample size for a two-tailed test without a given value for 'n', you can use the formula n = (Z(α/2) + Z(β))² * (σ1² + σ2²) / Δ². The condition is a two-tailed test, meaning you are testing for the possibility of a relationship in both directions. This formula is a derivative of the more general sample size calculation for hypothesis testing, adjusted specifically for two-tailed tests. In your example, it appears that some values or symbols may be incorrect, so please double-check the information and let me know if you need further assistance.

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Answer:

The Correct answer is C

10<_y>_14

Answer:  A

Step-by-step explanation:

The question is asking for the range, which means for the whole function where do you have y values.

you have y values from 0 to 14

I sometimes use a horizontal line.   If the function is touching the horizontal line than that is where you have a y value.

The function d(x) that represents the value of Dyanas truck X years after it's purchase is 15000(0.9)^x

Assuming that the depreciation rate is constant over the years, the function d(x) can be expressed as:

d(x) = 15000(1-0.1)^x

Where x is the number of years since the purchase of the truck.

This can be we can simplified further as: d(x) = 15000(0.9)^x

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Explanation:

The three lengths given are

Notice that a+b = 1 cm +3 cm = 4 cm which is NOT larger than c = 100 cm

Therefore, a triangle is NOT possible.

For more information, check out the triangle inequality theorem.

That theorem says "a triangle is possible if any two sides add to something larger than the third side.

Answer: 26

Step-by-step explanation:

There are 4 common factors of 26 and 52, that are 1, 2, 26, and 13. Therefore, the greatest common factor of 26 and 52 is 26.

One possible null hypothesis for this paired sample study could be: "There is no significant difference in the amount of caffeine (in milligrams) ingested before and after lunch among the 45 volunteer citizens from the small community."

Based on your question, we can construct a null hypothesis for this paired sample study involving 45 volunteer citizens from a small community. The terms "studies," "samples," and "small" are included in the context of the question. Here's a possible null hypothesis:
Null Hypothesis (H0): There is no significant difference in the mean amount of caffeine ingested by the 45 volunteer citizens before and after lunch each day.

The null hypothesis is a statistical assumption that says there is no statistical significance in a group of observations. Hypothesis testing is used to test the reliability of a hypothesis using sample data. It is sometimes called "blank" and stands for H0. The null hypothesis, also known as the Conjecture, is used in quantitative analysis to test a theory about business, investment, or the economy to determine whether the idea is true or false.

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The maximum total number of observations with a deviation of at least 5 is 1.

If the sum of deviations of 100 observations from 20 is 5, then the maximum total number of them, such that each of which is at least 5, can be found by considering the minimum deviation for the other observations.

Since we want the maximum total number of observations with a deviation of at least 5, let's assume all other observations have a deviation of 0 (meaning they are equal to 20). Let x be the number of observations with a deviation of at least 5. Then, the sum of deviations can be represented as:

5x + 0(100-x) = 5

Solving for x, we get:

5x = 5
x = 1

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29. The percentage of change is -39.66%.

30. The percentage of change is 35.29%

31. The percentage of change is 150.38%.

32. The percentage of change is -62.5%

A percentage simply has to do with the a value or ratio which can be stated as a fraction of 100. It should be noted that when we want to we calculate a percentage of a number, we simply divide it and then multiply the value that is gotten by 100.

The percentage of change is

= (-2300 / 5800) × 100

= -39.66%.

The percentage of change is:

= 6/17 × 100

= 35.29%

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The classification of the shapes have been done below based on 2D and 3D.

None of the given terms are three-dimensional figures

Non-polygon:

None of the given terms are non-polygons

A quadrilateral is a polygon with four sides. A rectangle is a specific type of quadrilateral with four right angles. Both quadrilaterals and rectangles are two-dimensional figures.

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Without the degrees of freedom, we cannot provide a specific p-value. If the chi-square statistic is 2.71 or more, the p-value will be equal to or less than the value corresponding to 2.71 in the chi-square distribution table for the given degrees of freedom.

1. The chi-square statistic is a measure of the difference between observed and expected frequencies in a contingency table. When the observed frequencies are similar to the expected frequencies, the chi-square statistic is low. When they are different, the chi-square statistic is high.

2. The p-value is a probability that indicates how likely it is to observe a chi-square statistic as extreme as the one obtained, assuming the null hypothesis (i.e., no association between the variables) is true. A lower p-value means there is stronger evidence against the null hypothesis, suggesting an association between the variables.

3. To determine the p-value corresponding to a chi-square statistic of 2.71, you would look up the value in a chi-square distribution table or use statistical software. The p-value depends on the degrees of freedom, which is determined by the size of the contingency table.

Without the degrees of freedom, we cannot provide a specific p-value. However, if the chi-square statistic is 2.71 or more, the p-value will be equal to or less than the value corresponding to 2.71 in the chi-square distribution table for the given degrees of freedom.

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1. The determination of the predetermined overhead rate using the estimated direct labor costs is $5.30.

2. The actual overhead costs incurred are $2,426,200 while the amount of overhead cost applied to movies using the predetermined overhead rate is $2,438,000.

2b. Overhead is overapplied by $11,800.

3. The journal entry to close the overapplied overhead to the Cost of Goods Sold is as follows:

Debit Manufacturing Overhead $11,800

Credit Cost of Goods Sold $11,800

(To close the overapplied overhead to the cost of goods sold.)

Overhead is overapplied when the applied overhead is more than the actual overhead incurred.

The applied overhead is based on a predetermined overhead rate, which relies on estimates.

Overhead costs = $2,438,000

Direct labor costs = $460,000

Predetermined overhead rate = $5.30 ($2,438,000 ÷ $460,000)

Overhead costs incurred = $2,426,200

Direct labor costs = $460,000

Overhead Applied = $2,438,000 ($5.30 x $460,000)

Overhead overapplied = $11,800 ($2,438,000 - $2,426,200)

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