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The most probable next number in the list is 107.

To predict the most probable next number in the list using inductive reasoning, we first need to identify the pattern or sequence in the list.
1. Examine the differences between consecutive numbers in the list:
  7 - 2 = 5
  17 - 7 = 10
  32 - 17 = 15
  52 - 32 = 20
  77 - 52 = 25
2. Notice that the differences are increasing by a constant value of 5 each time (5, 10, 15, 20, 25).

This suggests that the pattern in the list is an arithmetic sequence with a common difference of 5 between each difference.
3. To find the next difference, add 5 to the most recent difference (25):
  25 + 5 = 30
4. Finally, add the next difference (30) to the last number in the list (77) to find the most probable next number:
  77 + 30 = 107.

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Answer:

121=11 and 36=6

Step-by-step explanation:

As per linear equation the product of the square root of 121 and the square root of 36 is ± 66.

A linear equation is an equation that has one or multiple variables with the highest power of the variable is 1.

Given, the product of the square root of 121 and the square root of 36 is:

= √121 × √36

= (± 11) × (± 6)

= ± 66

Therefore, the result is ± 66.

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Answer:

Step-by-step explanation:

Hope it helps u!!

Answer:

The answer is most likely A.

The reason why, is because since the earning in 6 hours is $94.50, so the hourly wage would be, $15.75 because:

94.50/6 = 15.75

Graph B, for the first hour, the amount of dollars is correct, but in 11 hours, it says 25.75, which is not correct so Graph B cannot be it.

Graph C, shows that at hour 1, that it is 15.75 dollars, but at hour 2 16.75, as well with hour 3, 17.75. The graph is showing an increase of 1 dollar per hour, which is not correct so graph C is not it.

Graph D shows that at hour 6, there is $94.50, which is correct, but at hour 12, its 100.50. This is not true because , the hour has increased by 6, and when it increased by 6, the amount of pay increased by 6 as well, which is not the right way in which you would do so.

Option A is correct!

Step-by-step explanation:

Hope it helps! =D

Answer:

19 6/8 or 19 3/4

I’m not sure if you want the smallest possible fraction or not. If you don’t know just put the second one. K.

In fraction form, the answer is 1/4, which represents the simplified probability of the given event occurring.

To find the probability of picking a prime number and then picking another prime number, we first need to determine the total number of possible outcomes and the number of favorable outcomes.

Given the four numbers: 5, 6, 7, and 8, we can see that there are two prime numbers (5 and 7) and two non-prime numbers (6 and 8).

The total number of possible outcomes is 4 since there are four cards to choose from.

Now, let's consider the favorable outcomes, which are picking a prime number and then picking another prime number.

The probability of picking a prime number on the first draw is 2/4, as there are two prime numbers out of the four total cards.

Since we replace the card before the second draw, the probability of picking a prime number on the second draw is also 2/4.

To find the probability of both events occurring, we multiply the individual probabilities:

(2/4) * (2/4) = 4/16 = 1/4

Therefore, the probability of picking a prime number and then picking another prime number is 1/4.

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Answer:

a - 2

Step-by-step explanation:

All you have to do is divide 3a by 3 and divide -6 by 3

∴ The answer is a - 2

Hope this helps!

Solution;

Given the system of equations below

To find out if (2, -2) is the solution to the given system of equations, we solve for x and y

Applying the substitution method to solve the system of equations

Substitute for y in equation (1)

Answer:

AC

Step-by-step explanation:

Segment AC is the shortest.

A line segment in geometry has two different points on it that define its boundaries. A line segment is sometimes referred to as a section of a line that links two places. The difference between a line and a line segment is that a line has no endpoints and can go on forever in either direction.

Given:

50 + 49 = 99

180 - 99 = 81

<C = 81°

and, 99 + 37 = 136

180 - 136 = 44

<A = 44°

The shortest segment is always going to be opposite the smallest angle. The smallest angle is 37°.

Hence, Segment AC is the shortest.

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Answer:

1. 11,207.23

2. 11,285.58

3. 11,303.49

4. 11312.52

I don't know if the last one is correct

Answer:

(a) 113.04m²

(b) 37.68m

Step-by-step explanation:

(a)

Area = πr²

=π(6)²

=36π

=113.04m²

(b)

Circumference = 2πr

2π(6) = 12π

=37.68m

Step-by-step explanation:

(a) πr^2= 22/7 * 6*6

= 113.1 m^ 2

(b) 2πr= 2*22/7*6

= 37.7 m

Answer:

10:9

Step-by-step explanation:

First ratio is 5:4. 4 is equal to Henry class

If you múltiply the ratio by 2 you get

10:8, This ratio can be compared because now Henry class has 8

2(5:4)

10:8

8:9

Meaning that the answer is 10:9

The require ratio of number of students in Mr. Moore's class to Mr. Wilson's class is 10:9

The ratio can be expression as how many times one number contain another number.

For example, If any bag contain 4 apples and 8 oranges then the ratio of apple to orange is 4:8 while the ratio of the orange to the apple is 8:2

Consider M denote the number student present in the Mr. Moore's class

similarly H denote the number of student in miss Henry's class and W denote the number of student present in Mr. Wilson's class

then we have given that

M : H = 5 : 4 or

\(\frac{M}{H} = \frac{5}{4}\)

Also we have H : W = 8 : 9

\(\frac{H}{W} = \frac{8}{9}\)

Now multiply these two equations we have

\(\frac{M}{H}\times \frac{H}{W}=\frac{5}{4}\times\frac{8}{9}\)

\(\frac{M}{W}= \frac{10}{9}\)

The ratio of number of student in Mr. Moore's class to Mr. Wilson's class is 10:9

This is the conclusion to the answer.

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The angle measure of x is 115°.

A parallelogram is a four-sided shape with two sets of parallel sides, which means that opposite sides are both parallel and have equal length. Parallelograms also have opposite angles with the same measure, and their diagonals intersect at the midpoint and bisect each other. This results in the parallelogram being divided into two triangles that are congruent. Examples of parallelograms include rectangles, squares, and rhombuses, and they are commonly used in both geometry and everyday life, particularly in the design of buildings and other structures.

We can call this figure ACDEF. Let us join CB.

Now we can see that BDEF is a parallelogram. Opposite angles of a parallelogram are equal, hence ∠DBF = ∠DEF = x°

And also consider the triangle ABC,

∠BAC = 50°

∠ABC = 180 - ∠DBF = 180° - x° (linear pair)

∠ACB = 180 - ∠ACD = 180° - x° (linear pair)

We know that all the angles of a triangle adds up to 180°.

Using this we can find x°:

∠BAC + ∠ABC + ∠ACB = 180°

50° + 180° - x° + 180° - x° = 180°

-2x° + 410 = 180°

-2x° = 180° - 410° = -230°

x° = -230/ -2

x ° = 115°

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Answer: C. (-4, -6)

Step-by-step explanation:

          To figure out what the coordinate pair of (-4, 6) reflected across the x-axis is, we will use (x, y) ➜ (x, −y). This means the sign (+ or -) of the x-coordinate will stay the same, but the y-coordinate will change.

(x, y) ➜ (x, −y)

(-4, 6) ➜ (-4, -6)

See attached for a graph.

Hi, there!

There's an easy way to find the co-ordinates of a point that's been reflected over the x axis, when you know the original co-ordinates of the point. Pay attention:

What happens to a point when you reflect it around the x-axis?

                                              \(\hfill\stackrel{(-4,6)}{\bullet}\)

\(_ < \!\!\rule{300}{0.8}\!_ >\)

                                             \(\hfill\stackrel{(-4,-6)}\bullet\)

So we notice that the x co-ordinate stayed the same, but the y co-ordinate didn't; did you notice that the y co-ordinate of the original point & the y co-ordinate of that point reflected, are opposites.

Hope the answer - and steps - made sense to you,

happy studying !!                                                                        \(\tiny\boldsymbol{Frozen \ melody}\)

The formula that defines the sequence is f(n) = f(n-1) + 4

The recursive function rule is expressed as;

f(n) = f(n-1)  + d

where

d is the common difference

Given the following sequence

2, 6, 10, 14, 18..

Determine the common difference

d = 6-2 = 10-6

d = 4

Substitute to have

f(n) = f(n-1)  + d

f(n) = f(n-1) + 4

Hence the formula that defines the sequence is f(n) = f(n-1) + 4

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95% confidence interval for the ratio of medians is a range of values that we are confident contains the true population ratio, with a specified level of confidence.

A confidence interval is a range of values that we are confident contains the true population parameter, with a specified level of confidence. In this case, we are looking at the ratio of medians in the Verizon data and finding a 95% confidence interval for the ratio.

Let's say the sample median for the first data set is M1 and the sample median for the second data set is M2. The standard error for M1 and M2 can be calculated using the formula for the standard error of the median.

Next, we use the formula for a confidence interval for the ratio of medians:

=> (M1/M2) +/- (Z * SE(M1/M2)),

where Z is the critical value from a standard normal distribution for a 95% confidence level.

The percent bias is the difference between the estimated value and the true value, divided by the true value and expressed as a percentage. In this case, we will calculate the percent bias of the confidence interval for the ratio of medians relative to the standard error.

Finally, we compare the results for the ratio of medians with the results for the ratio of means. This comparison can give us an idea of the difference in the level of accuracy and precision between the two estimates.

Complete Question:

Consider the Verizon data. find a 95% confidence interval for the ratio of medians. estimate the percent bias (relative to the standard error) and compare with the results for the ratio of means

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Answer:

The value of y is 4.

Step-by-step explanation:

Note the system of equation:

x + y = 24

5y = x

First, plug in 5y for x in the first equation:

x + y = 24

(5y) + y = 24

Simplify. Combine like terms. Like terms are terms that have the same amount of the same variable:

(5y + y) = 24

(6y) = 24

Isolate the variable, y. Note the equal sign, what you do to one side, you do to the other. Divide 6 from both sides of the equation:

(6y)/6 = (24)/6

y = 24/6 = 4

Now, plug in 4 for y in one of the given equations in the system of equation:

x + y = 24

x + (4) = 24

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Subtract 4 from both sides of the answer:

x + 4 = 24

x + 4 (-4) = 24 (-4)

x = 24 - 4

x = 20

x = 20 , y = 4

~

Check. Use the other equation. Plug in 4 for y, and 20 for x:

5y = x

5(4) = (20)

5 * 4 = 20

20 = 20 (True)

~

The value of y is 4.

The slope of the line passing through the points (5, 3) and (8, 2) is -1/3.

To find the slope of the line passing through the points (5, 3) and (8, 2), we can use the formula for slope:

slope = (y2 - y1) / (x2 - x1)

Let's substitute the coordinates of the given points into the formula:

x1 = 5, y1 = 3

x2 = 8, y2 = 2

slope = (2 - 3) / (8 - 5)

Calculating the numerator and denominator:

slope = -1 / 3

Therefore, the slope of the line passing through the points (5, 3) and (8, 2) is -1/3.

Note: The slope represents the rate of change between the y-coordinates and x-coordinates of two points on a line. In this case, for every 3 units increase in the x-coordinate, the y-coordinate decreases by 1 unit.

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the answer is 6the answer is 600 words

Answer: 144

Step-by-step explanation:

If 1 pound is 16 ounces then you have to do 9 X 16

9x16 = 144

Therefore the answer is 144 ounces

Hope this helped!

The volume of the ark is about 1.44 million cubic feet.

What is unit conversion mean?

A unit conversion expresses the same property as a different unit of measurement. For instance, time can be expressed in minutes instead of hours, while distance can be converted from miles to kilometers, or feet, or any other measure of length.

First, we need to convert the measurements from cubits to inches.

We know that one cubit is equal to six palms and that one palm is equal to 2.5 inches. So, we can convert the measurements of the ark by multiplying the number of cubits by the number of inches per cubit:

Length of ark = 300 cubits x 6 palms/cubit x 2.5 inches/palm = 4500 inches

Width of ark = 50 cubits x 6 palms/cubit x 2.5 inches/palm = 750 inches

Height of ark = 30 cubits x 6 palms/cubit x 2.5 inches/palm = 450 inches

Next, we can find the volume of the ark by multiplying these dimensions together:

Volume of ark = 4500 inches x 750 inches x 450 inches = 1.42 x 10^9 cubic inches

Finally, we can convert cubic inches to cubic feet by dividing by the conversion factor of 1 cubic foot = 12 x 12 x 12 cubic inches.

1.42 x 10^9 cubic inches / (12x12x12 cubic inches/cubic foot) = 1.44 x 10^6 cubic feet

Hence, the volume of the ark is about 1.44 million cubic feet.

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Answer:

A,C, and D

Step-by-step explanation:

Thousandths place is this the third place behind the decimal.

A = 82.075

B = 56.250

C = 49.725

D = 38.925

Hope this helps ya!!

The graph of the function y = 5|x - 4| is added as an attachment

From the question, we have the following parameters that can be used in our computation:

y = 5|x - 4|

The above function is an absolute value function that has been transformed as follows

Next, we plot the graph using a graphing tool by taking not of the above transformations rules

The graph of the function is added as an attachment

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The person's expenditure is $1,755. (30 words)

To find the expenditure, we need to determine the person's income first. Since the income tax is 13% of the income and is given as $585, we can calculate the income. Dividing the income tax by the tax rate gives us the income. So, $585 divided by 0.13 equals $4,500, which is the person's income.

Now, we can calculate the expenditure. Given that the expenditure is 75% of the income, we can multiply the income by 0.75 to find the expenditure. So, $4,500 multiplied by 0.75 equals $3,375. Therefore, the person's expenditure is $3,375. (120 words)

In summary, the person's expenditure is $3,375. To find this, we first determined the person's income by dividing the given income tax of $585 by the tax rate of 13%, resulting in an income of $4,500.  

Then, we calculated the expenditure by multiplying the income by 0.75 since the expenditure is stated to be 75% of the income. Thus, the person's expenditure is $3,375.

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Step-by-step explanation:

5(2a - 6) + 3a

10a - 30 + 3a

13a - 30

right