A father wishes to distribute his 2 hectare field equally among his 4 sons. How many ares will each son's plot measure?
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The order from coolest to warmest is 0 degrees Celsius, 37 degrees Celsius, 34 degrees Fahrenheit, 100 degrees Celsius, 100 degrees Fahrenheit, and 185 degrees Fahrenheit.

0 degrees Celsius is the coolest temperature of the given options, followed by 37 degrees Celsius.

34 degrees Fahrenheit is the next coolest temperature.

100 degrees Celsius and 100 degrees Fahrenheit are the next warmest temperatures.

185 degrees Fahrenheit is the next warmest temperature.

100 degrees Celsius is the next warmest temperature.

The warmest temperature of the given options is 185 degrees Fahrenheit.

Therefore, the order from coolest to warmest is 0 degrees Celsius, 37 degrees Celsius, 34 degrees Fahrenheit, 100 degrees Celsius, 100 degrees Fahrenheit, and 185 degrees Fahrenheit.

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If his average rate was miles per hour faster on the trip home, Charlie lives 480 miles from the mountain.

Let s = his speed to the mountains,

(s+20) = his return speed

The distance each way is the same,

Using the formula,

Distance = speed * time

12s = 8(s+20)

12s = 8s + 160

12s - 8s = 160

4s = 160

s = 160/4

s = 40 mph

So his speed to the mountain is 40mph

then,

Putting the values of speed and times we get,

40 * 12 = 480 miles to the mountains

Therefore, distance between charlie and the mountains is 480 miles.

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The segments that provided result in true statement are:

NO/KL=PN/KM

Because PN and KM are in the same position of each triangle.

The middle segment of a triangle connects the midpoints of the two sides of the triangle

The middle part of a triangle theorem states that the middle part of a triangle is parallel to one side of the triangle and its length is half that side.

There are several propositions that apply to triangles:

(1) Theorem of the midpoint of the triangle

The line segment connecting the midpoints of the two sides of a triangle is parallel to the third side and half the length of the third side.

(2) Intercept Theorem

If two or more parallel lines are cut by two intersecting lines, then the ratio of the first intersecting line segments is equal to the ratio of the like segments of the second intersection.

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The correct answer is option d. the mode only.

A positively skewed distribution, also known as a right-skewed distribution, is a type of distribution in statistics in which most values are centered around the left tail and the right tail is longer. The distribution that is positively skewed is the exact opposite of one that is negatively skewed.

Positively skewed data differ from normally distributed data. The following inequality can be used to represent the general relationship between the central tendency measurements in a positively skewed distribution:

                        Mean  >  Median >  Mode  

Here

The peak of the distribution corresponds to the mode only

Therefore,

The correct answer is option d. the mode only.

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The standard form of 6300 kg in grams is 0.63 x [tex]10^7[/tex] g.

There are 90000 grains in 6300 kg of sand.

It is the conversion of one unit to another unit with its standard conversion.

Example:

1 minute = 60 seconds

1 km = 1000 m

We have,

6300 kg

Now,

1 kg = 1000 g

So,

6300 kg = 6300 x 1000 g

6300 kg = 63 x [tex]10^5[/tex] g

6300 kg = 0.63 x [tex]10^7[/tex] g

Now,

One grain = 7 x 10 g

So,

Number of grains in 0.63 x [tex]10^7[/tex] g.

= 0.63 x [tex]10^7[/tex] ÷ 7 x 10

= 90000

Thus,

0.63 x [tex]10^7[/tex] g is the standard form.

90000 grains.

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Answer:

Elliana's circle with a radius 4 has a greater area

Step-by-step explanation:

The area of a circle is given by πr²

Area is directly proportional to the square of the radius

A ∝ r²

So the greater the radius, the greater the area

Hence, Elliana's circle has a greater area

Answer: 12.2

Step-by-step explanation: I did 8 times 6.3= 50.4

Then 8 times 4.4=35.2.

50.4-35.2=15.2 then minus the 3 is 12.2

Answer: the y intercept is (0,-2)

Step-by-step explanation:

Step-by-step explanation:

it is a line.

so, you need 2 points of the line that you can then connect via a ruler and a pen.

you get a point by picking a value for x and calculate the corresponding y.

like x = 0, y = -2×0 - 2 = -2

or x = -2, y = -2×-2 - 2 = 2

The slope of the line will be 5 / 4 for the given graph.

Slope or the gradient is the number or the ratio which determines the direction or the steepness of the line. The slope of the line is defined as the ratio of the rise o the line to the run of the line.

Given that the line is passing through points ( 4,5) and ( 8, 10). The slope of the line will be calculated as:-

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

Slope = ( 10 - 5 ) / ( 8 - 4 )

Slope = 5 / 4

Hence, the slope of the line is equal to 5 / 4.

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The power of a study refers to the ability of a statistical test to correctly detect a difference or association in the population when it actually exists. Decreasing the overall alpha level from 0.10 to 0.05 would increase the power of the study.

The alpha level, also known as the significance level, is the probability of making a Type I error in a statistical test, which is rejecting the null hypothesis when it is actually true. By decreasing the alpha level, the statistical test becomes more stringent, and the likelihood of making a Type I error decreases.

For example, if the alpha level is 0.10, a statistically significant result would be achieved if the p-value (the probability of observing the test statistic under the null hypothesis) is less than or equal to 0.10. If the alpha level is decreased to 0.05, the p-value must now be less than or equal to 0.05 for the result to be considered statistically significant.

In general, decreasing the alpha level makes the test more conservative and increases the power of the study. However, this comes at the cost of increased likelihood of Type II error, which is failing to reject the null hypothesis when it is actually false.

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Answer: en fait je ne sais pas désolé

Step-by-step explanation: désole.

Step-by-step explanation:

The scuba diver's elevation after t minutes can be represented by the equation y = -5 + 2.5t. The camera is in a safe depth for use when y is greater than or equal to 0, so we want to find the value of t when y is equal to 0.

Solving for t:

0 = -5 + 2.5t

5 = 2.5t

t = 5/2.5

t = 2

So the scuba diver could have been swimming for 2 minutes.

The graph of the solution set would be a line with slope 2.5 and y-intercept of -5, and the x-axis (y = 0) would be the line where the diver's depth is equal to sea level. The solution to the problem would be the point on the graph where y = 0 and x = 2.

Answer:

Step-by-step explanation:

The answer is x + 14. If just adding 2 to (x + 12), the parenthesis can be disregarded.

He would need 54 ft² material to cover the one rectangular side of the tent with the rip and 213 ft² to recover the whole tent including the bottom. The volume of the tent is 189 ft³.

Part A

He would need 54 ft² material to cover the one rectangular side of the tent with the rip. As we have to find the area of a rectangular side of a rectangle we will use the formula Area= Length × Width

∴ Area of a Rectangle = length of the rectangle × width of the rectangle

A = 9 × 6

A = 54 ft²

Part B

David's dad would need 213 ft² material to recover the whole tent including the bottom. We know that the 2 sides of the tent are 54 ft² each. So, the total is 54 × 2 = 108 ft².

We will now find the area at the bottom of the tent

A = 7 × 9

A= 63 ft²

We will now find the area of the triangular sides

Triangle Area = 1÷2 × b×h

A = 1÷2 × 7 × 6

A =  1÷2 × 42

A = 21  ft²

As there are 2 triangular sides so we have to multiply it by 2

∴ 21 × 2 = 42 ft²

Add all the sides together 108  63 + 42 = 213 ft²

Part C

The volume of the tent is 189 ft³. It can be found by applying the formula V= b×h

Triangle area = 1÷2 × bh

A = 1÷2 ×7 × 6

A=  1÷2 × 42

A= 21

With a=21 as B and h= 9ft and applying the formula v=Bh

We have,

v = 21 × 9

v = 189 ft³

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The coordinates of point P that lies along the directed line segment from M to N and partitions the deferment in the ratio 3 to 2 is (6/ 5 , 0).

The line segment is divided into two pieces by a point, which may or may not be equal. If we know the coordinates of the point, we may calculate the ratio by which the supplied line segment is divided. Additionally, if we are aware of the ratio that the line segment connecting two places has produced, we can locate the point of division. The two can be accomplished using a section formula from coordinate geometry.

The coordinates of the points on the line are:

M = (-3, -3)

N = (4, 2)

m= 3

n = 2

Using the section formula we have:

M(x, y) = (mx2 + nx1 / m+n , my2 + ny1 /m + n)

M(x, y) = ((3)(4) + (2)(-3)) / (3 + 2) , (3)(2) + (2)(-3) / (3 + 2))

M (x, y) = (12 - 6 / 5 , 6. -6 / 5)

M (x, y) = (6/ 5 , 0)

Hence, the coordinates of point P that lies along the directed line segment from M to N and partitions the deferment in the ratio 3 to 2 is (6/ 5 , 0).

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The ordered pair lie on the inverse of the function is (62,−3).

Option A is the correct answer.

A function is a relationship between inputs where each input is related to exactly one output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

f(x) = -(x - 1)³ - 2

The inverse of f(x).

y = -(x - 1)³ - 2

interchange x and y and solve for y.

x = -(y - 1)3 - 2

(y - 1)³ = -2 - x

(y - 1)³ = -(2 + x)

Cuberoot on both sides.

y - 1 = ∛-(2 + x)

y = ∛-(2 + x) + 1

Now,

Substitute in the inverse of g(x).

(62, -3) = (x, y)

(−4, 123) = (x, y)

(3, 1) = (x, y)

(3,−6) = (x, y)

So,

y = ∛-(2 + x) + 1

y = ∛-(2 + 62) + 1

∛-1 = -1

y = -1∛64 + 1

y = -1 x 4 + 1

y = -4 + 1

y = -3

So,

(62, -3) ______(1)

And,

y = ∛-(2 + x) + 1

y = ∛-(2 - 4) + 1

∛-1 = -1

y = ∛(-2 + 4) + 1

y = ∛2 + 1

y =  1.26 + 1

y = 2.26

So,

(-4, 2.26) _______(2)

And,

y = ∛-(2 + x) + 1

y = ∛-(2 + 3) + 1

∛-1 = -1

y = -1∛5 + 1

y = -1 x 1.71 + 1

y = -1.71 + 1

y = -0.71

So,

(3, -0.71) _______(3)

And,

y = ∛-(2 + x) + 1

y = ∛-(2 + 3) + 1

∛-1 = -1

y = -1∛5 + 1

y = -1 x 1.71 + 1

y = -1.71 + 1

y = -0.71

So,

(3, -0.71) ______(4)

Thus,

From (1), (2), (3), (4) we see that,

(62, -3) is the solution to the inverse of g(x).

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Answer: 4 hours

Step-by-step explanation: the difference (6-2) = 4

The combined rate at which they complete the job is the sum of their individual rates, so their combined rate is 2 + 6 = 8 hours per job.

Therefore, they will do the job in 1/8 of the time it would take either of them working alone, so it will take them 1/8 of 2 hours = 15 minutes to do the job together.

The appropriate test to see if neck size and number of teeth have a linear relationship in 18 randomly selected puppies is the t-test for slope of regression line.

A regression line is a line that best fits the data by minimizing the sum of the squared differences between the observed and predicted values. A t-test for slope of regression line tests the null hypothesis that the slope of the regression line is equal to zero, which would indicate that there is no linear relationship between the variables.

In this case, neck size and number of teeth are two continuous variables and we want to test if there is a linear relationship between them. A t-test for slope of regression line would provide information on the significance of the relationship and the direction of the relationship (positive or negative).

It is important to note that the test conditions such as independence, normality, and homoscedasticity must be met before conducting the test. If these conditions are not met, the results of the test may be biased and should be interpreted with caution.

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Complete Question: Comparing the neck circumference (in inches) and tooth count of 18 puppies chosen at random. Which statistical analysis should be performed to determine whether there is a linear relationship between neck size and tooth count? Assume that every test requirement is satisfied.

a. Z-test with two samples

b. T-test with two samples

c. Test of two proportions

d. T-Test for Regression Line Slope

e. Z-test for one proportion

Answer: -8

Step-by-step explanation: I did long division for 3/2 = -1.5 now I have to mutiply -1.5 x 4 = -6 - 2 = -6 + (-2) which now eqauls negative 8

Answer:

Step-by-step explanation:

0.267

Answer:

distance = 11.1803 units

midpoint :  (-1.5, 6).

Step-by-step explanation:

To plot the points A(4, 5) and B(-7, 7) on the grid, we locate the points at the coordinates (4, 5) and (-7, 7) respectively.

The distance between two points (x1, y1) and (x2, y2) can be calculated using the distance formula:

d = √((x2 - x1)^2 + (y2 - y1)^2)

Plugging in the values for A and B, we get:

d = √((-7 - 4)^2 + (7 - 5)^2)

d = √(11^2 + 2^2)

d = √(121 + 4)

d = √125

d = 11.1803 (rounded to hundredths place)

The midpoint of two points (x1, y1) and (x2, y2) can be calculated as follows:

x = (x1 + x2) / 2

y = (y1 + y2) / 2

The midpoint of A and B is:

x = (4 - 7) / 2 = -1.5

y = (5 + 7) / 2 = 6

So the midpoint of A and B is approximately (-1.5, 6).

The slope formula to calculate the slope of the ocean floor would be

[tex]slope = \frac{y}{x}[/tex].

What is slope?

The slope of a line characterizes its direction.

To find the slope of the ocean floor, we need to calculate the rise (change in depth) and the run (distance along the ocean floor) between the edge of the continental shelf and the beginning of the oceanic crust.

Let's call the depth of the water at the edge of the continental shelf "d1" and the depth of the water at the beginning of the oceanic crust "d2". Then, the rise is:

rise = d2 - d1

We don't have the actual values for d1 and d2, so let's call the rise "y" and the run "x". Then, the slope of the ocean floor is given by:

[tex]slope =\frac{rise}{run} \\\\slope = \frac{y}{x}[/tex]

So, we can use the slope formula to calculate the slope of the ocean floor.

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He will need 2 wood in order to reach a height of 7 feet

What is the arithmetic operation?

The four fundamental operations of arithmetic are addition, subtraction, multiplication, and division of two or more quantities. Included in them is the study of numbers, especially the order of operations, which is important for all other areas of mathematics, including algebra, data management, and geometry. The rules of arithmetic operations are required in order to answer the problem.

Tommy had equal-sized pieces of wood that measured 3.5 inches on each side.

He glued the pieces of wood on top of each other until they reached a height of 7 feet.

One is glued above another so the wood add up in the stack.

To make 7 ft in total he need2*3.5 = 7ft

Hence He will need 2 wood in order to reach a height of 7 feet

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The value of x is obtained as follows:

x = 9.

Similar triangles are triangles that share these two features presented as follows:

Considering the equivalent side lengths, the proportional relationship for this problem is given as follows:

8/6 = 12/x.

Applying cross multiplication, the value of x is obtained as follows:

8x = 72

x = 72/8

x = 9.

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The solution is, x= 50  &  y= 19.

An equation is a  mathematical statement that is made up of two expressions connected by an equal sign.  In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal. For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.

here, we have,

given that,

1.5x−y3=18

2x−3y=43

solving the equations in graph , we get,

x= 50

y= 19

Hence, The solution is, x= 50  &  y= 19.

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Yes, when the length of the paper strip doubles, so will the number of dots on it.

Yes, when the length of the paper strip doubles, so will the number of dots on it. This is the case because the dots are uniformly spaced apart, and the total number of spaces between the dots doubles as the length of the strip does. As a result, to occupy the same number of spaces as the strip's length, the number of dots must also double. The same rule holds true for every paper strip of any length; increasing the strip's length will result in doubling the number of dots on it. The quantity of dots on the paper strip is therefore directly proportional to the length.

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The perimeter of the circle is 395.64 m, and the length of wire needed to fence it with 5 rounds is 1,978m

We kow that for a circle, the perimeter is equal to its circumference, and the circumference of a circle of radius R is:

C = 2*pi*R

Where pi = 3.14

Then the perimeter of a circle of radius of 63m is:

Perimeter = 2*3.14*63m = 395.64 m

And the length of wire needed to fence it with 5 rounds is 5 times that, so we will get:

total length = 5*395.64 m = 1,978m

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Answer: dotted/dashed line

The total perimeter of all the shaded triangles in Stage 3 is 114 units.

The midpoint theorem states that the line segment joining the midpoints of any two sides of a triangle is parallel to the third side and equal to half of the length of the third side.

a) The shaded triangle in stage 1 is formed by the three midsegments of the triangle in stage 0 whose side is 16.

As the mid-segment theorem says the mid-segment is parallel and half in length to the third side of the triangle.

Apply the midsegment theorem, the side of the shaded triangle in stage 1 will be half of the side of the triangle in stage 0 i.e.,

16/2 =8

So, the perimeter is 3×8= 24 units

b) Perimeter = Perimeter of small triangle + Perimeter of 3 smaller triangles

= 24+3×3×4

= 60 units

c) Perimeter =  Perimeter of small triangle + Perimeter of 3 smaller triangles + Perimeter of 9 smallest triangles

= 24+3×3×4+9×3×2

= 114 units

Therefore, the total perimeter of all the shaded triangles in Stage 3 is 114 units.

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