What is the next number in the arithmetic sequence below??
I think it's D but I'm not sure.

Let's see

For line A

Slope

For line B

Slope

The slope of the lines containing the following points (-2, 1) & (-5,5) is \(\frac{-4}{3}\).

As per the question statement, two points lie (-2, 1) & (-5,5) on a line.

We are supposed to find the slope of the line.

To solve this question, we need to know the formula to calculate the Slope of line passing through two points \((x_{1} ,y_{1} )\) and \((x_{2} ,y_{2} )\) which is given by

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

Since given in the question statement, our concerned points are (-2, 1) & (-5,5), we can consider \([x_{1}=(-2)] , [x_{2}=(-5)], [y_{1}=1]\) and \([y_{2}=5]\).

Using these values into above mentioned formula, we get,

Slope (m) = \(\frac{5-1}{[(-5)-(-2)]}=\frac{4}{-3}=\frac{-4}{3}\).

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An effective sampling method is not cast doubt on the usefulness of the sample

The effective sample is a calculation of the approximate sample size needed to obtain the same degree of accuracy as a simple random sample. It is denoted mathematically by the formula n/D, where n represents the sample size and D denotes the design effect. It is employed as a means of condensing the volume of data.

Effective sample size calculations are mostly used for qualitative analyses of the sample size. The sample size calculates the total number of measurements or observations made during an experiment or survey. The effective sample size—rather than the actual sample size—is utilized in this assessment since it is thought that a sample size of 30 is necessary for an analysis to be valid.

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a) (0; -15)

you just let x be equal to 0.

b) ( -5; 0) and (3;0)

you just let y/ f(x) equal to 0.

c)

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Answer:

Given that one time charge of appartment "a" = $100

Given that monthly rent of appartment "a" = $400

say the number of months = x

then total cost of the rent for apartment "a" = 100+400x

Given that one time charge of appartment "b" = $500

Given that monthly rent of appartment "b" = $350

then total cost of the rent for apartment "b" = 500+350x

Now we have to make an inequality so that number of months it would take for the total paid to be less for apartment b.

that means 100+400x is less than 500+350x

Hence required inequality is 100+400x<500+350x.

Now we have to solve this inequality.

400x-350x<500-100

50x<400

divide both side by 50

x<8

hence final answer is number of months should be less than 8.

Answer:

what's the question

Step-by-step explanation:

is there any numbers involved

The coordinates of N can be estimated as: (-8, -12)

Scale factor is a mathematical term, which we use to scale 2-dimensional and 3-dimensional shapes. Scale factor is a measure of similar figures. Those figures who look the same but are in different sizes.

If point N is dilated with a scale factor of 5/4 centered at the origin, the coordinates of the image point, let's call it N', can be found by multiplying the coordinates of N by the scale factor:

N' = (5/4)N

We also know that the image point N' is located at (-10, -15), so we can substitute these values into the equation:

(-10, -15) = (5/4)N

Solving for N, we can multiply both sides by the reciprocal of 5/4, which is 4/5:

N = (4/5)(-10, -15)

N = (-8, -12)

Therefore, the coordinates of point N are (-8, -12).

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Answer:

Step-by-step explanation:

amama

Answer:

c

Step-by-step explanation:

1/2= 0.5, 1/3= 0.33 ; 0.5+ 0.33= 0.83 or 0.8

Domain: x > –6; range: all real numbers are the domain and range of f (x).

What is domain and range ?

The range of values that can be plugged into a function is known as its domain. The x values for a function like f make up this set (x).

                               The collection of numbers that the function assumes is known as its range. After we enter an x value, the function outputs this sequence of values.

we need to remove all the values of x such that:

x + 6 ≤ 0

Solving for x, we get

x ≤ -6

So the only values of x allowed are the ones that make the next inequality true:

x > -6.

Thus we can write the domain as:

D {x | x ∈ R | x > -6}

Where the second part, x ∈ R, is usually ignored, as we assume that x is a real number .

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Answer:

B

Step-by-step explanation:

The vertices of the image of the figure LMNO following a 90° rotation about the origin are; L'(3, 5), M'(6, 6), N'(3, 4), O'(6, 4), indicating that the corresponding segment L'O' and M'N' are on the lines x = 6 and x = 3, the correct option is option B.

B. x = 6 and x = 3

A rotation is the circular motion about a specified center of rotation of the points on the figure of the preimage.

The coordinates of the vertices of the figure LMNO are; L(-5, 3), M(-6, 6), N(-4, 6), O(-4, 3)

The transformation of the figure LMNO = 90° clockwise rotation about the origin.

The coordinate of the image of the point (x, y) following a rotation of 90° about the origin is the point (y, -x).

Therefore, the coordinates of the image of the figure LMNO following a rotation of 90° about the origin are found as follows;

L(-5, 3) \(\underset{\longrightarrow}{R_{90^{\circ}\ clockwise}}\) L'(3, 5)

M(-6, 6) \(\underset{\longrightarrow}{R_{90^{\circ}\ clockwise}}\) M'(6, 6)

N(-4, 6) \(\underset{\longrightarrow}{R_{90^{\circ}\ clockwise}}\) N'(6, 4)

O(-4, 3) \(\underset{\longrightarrow}{R_{90^{\circ}\ clockwise}}\) O'(3, 4)

The points L' and O' are colinear with the line x = 3, and the points M' and N' are colinear with the line x = 6

Therefore, the corresponding segment to the segment LO, L'O' lie on the the line x = 3, and the corresponding segment to the segment MN, M'N' lie on the line x = 6

The correct option is B. x = 6, and x = 3

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 The sample we collect plays a cruciThe sample we collect can significantly affect our understanding of a population,

especially when it comes to making generalizations or drawing conclusions about the entire population based on the sample data. The key aspect in this regard is whether the sample is representative of the population.

A representative sample is one that accurately reflects the characteristics, diversity, and distribution of the population from which it is drawn. When our sample is representative, we can have greater confidence in generalizing the findings from the sample to the larger population. However, if our sample is not representative, our understanding of the population may be biased or limited.

In the provided example, the given data represents different age groups and their reported time spent with friends per day. If we were to collect a sample from this population, it would be crucial to ensure that the sample includes individuals from each age group in proportion to their representation in the population. This would help ensure that our sample accurately reflects the age distribution of the population.

If our sample is not representative, it may lead to inaccurate conclusions. For instance, if we only surveyed individuals from the age group 55-64 and ignored the other age groups, our understanding of the population's time spent with friends would be limited to that specific age group. We wouldn't be able to generalize our findings to the entire population because we would have missed important variations in behavior across other age groups.

To improve the representativeness of our sample, we could use random sampling techniques, such as simple random sampling or stratified sampling, to ensure that individuals from all age groups are included in the sample. By doing so, we can enhance our understanding of the population as a whole and make more accurate inferences.

In conclusion, the sample we collect plays a crucial role in shaping our understanding of a population. A representative sample enables us to make valid generalizations and draw reliable conclusions about the entire population. It ensures that the characteristics and diversity of the population are properly reflected in the sample, allowing for more accurate insights and informed decision-making.al role in shaping our understanding of a population

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It will take 1.5 minutes to boil half liter of water .

Given,

Electric kettle take 3 minutes to boil a liter of water.

Now,

1 liter of water boils in 3 minutes .

so,

1 liter ⇒ boils in 3 minutes

1/2 liter ⇒ boils in 3/2 minutes

Thus,

1/2 liter boils in 1.5 minutes in an electric kettle .

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Answer:

About 26.67 percent.

We know that 4 oz of steak contains 700 mg of potassium. We want to know how many mg of potassium a 10 oz steak has. The bigger the steak the more potassium it has, so it is a directly proportional relationship. We can apply a rule of three to find the value we want as shown below:

Since hte relationship is proportional we don't need to invert any of the fractions. The first step is to cross multiply and then solve for x.

A 10 oz steak contains 1750 mg of potassium. We want to know how many percent of the daily value we consumed by eating that steak. To do that we can create another rule of three as shown below:

We ate 50 % of the daily value of potassium recommended.

Thus, the test for homogeneity follows the same procedures as the test for independence because the assumptions for performing the chi-square test for independence and chi-square test for homogeneity are the same.

The procedures for the chi-square test of homogeneity are the same as for the chi-square test of independence. The data is different for both tests. Tests of independence are used to determine whether there is a significant relationship between two categorical variables from the same population. One population is segmented based on the value of two variables. So there will be a column variable and a row variable.

The chi-square test of homogeneity of proportions can be used to compare population proportions from two or more independent samples, determining whether the frequency counts are distributed identically among different populations.

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Answer:

y = 3x + 2

Step-by-step explanation:

The slope is the rate of change.  The y intercept is the y value when x is 0.

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

7.4×10^(-8) - 6.7×10^(-9) = 6.73×10^-8 is 9.05405% smaller than 7.4×10^(-8) = 7.4×10^-8

It's not a typo that both answers are 24

======================================================

Explanation:

Each time the weight goes up by 1 ounce, the cost goes up by 24 cents. So the unit cost is 24 cents per ounce. This is exactly the slope of the line because the slope is the rate of change. It tells us how fast something is changing.

You can use the slope formula to answer this question, but I think it's easier to simply locate the point (1,24) and then note that slope = rise/run = y/x = 24/1 = 24. This shortcut only works because the line goes through the origin.

The equation of this line is y = 24x

x = number of ounces

y = cost in cents

Step-by-step explanation:both are 24

In statistics, measures of central tendency are used to describe the central or typical value of a distribution. There are three commonly used measures of central tendency: the mean, median, and mode. The median or mode may be more appropriate measure of central tendency to use, depending on the nature of the data and the research question at hand.

The mean is the arithmetic average of all values in the distribution, the median is the middle value of a sorted distribution, and the mode is the most frequently occurring value. Of these three measures, the mean is the one that takes into account all of the values in a distribution, making it especially sensitive to extreme values. This is because the mean is calculated by summing all the values in the distribution and dividing by the total number of values. This means that extreme values, whether very high or very low, can have a significant impact on the mean.

For example, consider a distribution of salaries for a group of employees, where most salaries are between $40,000 and $60,000, but one employee earns $1 million per year. If the mean salary is calculated, it will be heavily influenced by the outlier salary of $1 million, resulting in a much higher value than what most employees earn.

In contrast, the median and mode are not affected by extreme values in the same way as the mean. The median is simply the middle value of a sorted distribution, so it is less influenced by extreme values. The mode is the most frequently occurring value in a distribution, which may or may not be affected by extreme values, depending on the shape of the distribution.

Therefore, in situations where extreme values are present, the mean may not be the most appropriate measure of central tendency to use. The median or mode may be more appropriate, depending on the nature of the data and the research question at hand. However, it is important to remember that each measure of central tendency has its strengths and weaknesses, and the choice of which one to use depends on the specific context of the problem being studied.

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Answer:

Step-by-step explanation:

The width of the rectangle = x

Therefore the length of the rectangle = 2x, as it is twice its width

We know that the perimeter of a rectangle = 2 × （length + width）

So since the perimeter equals to 30, then we can form the equation:

                                      2×(2x+x) = 30

                                          2×(3x) = 30

                                                6x = 30

                                                   x = 5

width of the rectangle = x = 5

length of the rectangle = 2x = 2×5 = 10

If there is an unit which is in the question, remember to add it to the end of the answer. As you have not written any units in the posted question, I will leave it as it is.

Hope this helps :)

Step-by-step explanation:

given,

perimeter (p)=30

let the length be x and breadth be x÷2 (as the length is twice of its breadth)

now, perimeter (p)=30

or, 2(l+b)=30

or, 2(x+x/2)=30

or, 6x/2=30

or, 3x=30

therefore the value of x is 10.

the dimensions are,

so, length (l)=10 breadth (b) =10/2=5...ans

hope it will help uh.

The probability of Jack taking 2 red candies is 3/28.

What do you mean by a union in probability?
The letter "U" (union) stands for "or." Specifically, P(AB) represents the probability of that event A or event B occurring. The sample points that are present in both event A and event B must be counted in order to determine P(AUB).

The new probability set made up of all the elements from both sets is created when two sets are joined. When two sets intersect, a new set is created that includes every element from both sets.

Solution Explained:

Given in the question,

A bag contains 3 red and 5 green candies.

Total possibilities is 3 + 5 = 8  

Jack takes a candy at random and eats it  

A/Q there are 3 red candies out of 8, the probability is given by,

P(R) = 3/8

Now there are 2 red candies out of 7, so the probability is given by,

P(R') = 2/7

The probability of both events is given by,

P(2R) = P(R) × P (R') = 3/8 × 2/7 = 3/28

Therefore, the probability of Tim taking 2 red candies is P(2R) = 3/28

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Answer:

y + 1 = 6(x - 4)

Answer: y + 1 = 6(x - 4)

Answer:

(3x − 1)(x 8)

Step-by-step explanation:

Answer:

2/4

Step-by-step explanation:

If you follow the rule, rise over run, you can start from the first point. Then, rise till you reach the level the other point is. (which would be 2) Go over until you meet the second point. (4)

Answer:

hope this helped :D

Step-by-step explanation:

-3x + 7 = -2

-3x + 7 - 7 = -2 -7

-3x = -9

-3x divided by -3 = -9 divided by -3

x= 3

Answer:

3

Step-by-step explanation:

Step 1:

- 3x + 7 = - 2       Equation

Step 2:

- 3x = - 9           Subtract 7 on both sides

Step 3:

x = - 9 ÷ - 3        Divide

Answer:

x = 3

Hope This Helps :)

Answer:

64,890

Step-by-step explanation:

105×3 =315

103×2= 206

315×206= 64,890

Answer:

6.489× 10⁴

Step-by-step explanation:

(3×105)×(2×103)

315× 206

64,890

6.489×10⁴

a. MRS = √(W/B)
b. Optimal bundle and total utility.
c. Adjusted income for constant utility.

a. The marginal rate of substitution (MRS) of walnuts for bananas is the rate at which you are willing to give up walnuts in exchange for one additional pound of bananas while keeping the utility constant. In this case, the MRS is equal to the ratio of the marginal utility of walnuts to the marginal utility of bananas. Since the utility function is U = √(W * B), the MRS can be calculated as MRS = √(W/B).

b. Using the Lagrangian approach, we can set up the following optimization problem: maximize U = √(W * B) subject to the constraint 2W + B = I, where W represents the pounds of walnuts, B represents the pounds of bananas, and I represents income. By solving the Lagrangian equation and the constraint, we can find the optimal consumption bundle and income level.

c. If the price of bananas doubles to $2 per pound, we need to determine the income required to maintain the same level of utility. With the new price, the constraint becomes 2W + 2B = I. By solving the Lagrangian equation again and substituting the new constraint, we can find the income level required to maintain the same level of utility.

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