last week we calculated the standard deviation by hand, and then used that to find the standard error. can we find the standard error now?

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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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

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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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:

  50 ares

Step-by-step explanation:

You want the area each of 4 sons will receive if a 2 hectare plot is divided equally among them.

A hectare is 100 ares, so 2 hectares is 200 ares. One quarter of that area is ...

  (200 ares)/4 = 50 ares

Each son's plot will be 50 ares.

Answer: en fait je ne sais pas désolé

Step-by-step explanation: désole.

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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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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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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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 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: 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 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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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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For every 12 pop songs played on the streaming music channel, there are 8 hip-hop tracks.

After that, the algebraic relationship is denoted by the equation y = mx + b, where y stands for the distance, x for time, m for the slope, and b for the y-intercept. Distance = (2m/s)time - 1m is the relationship we infer from the graph.

The association between two quantitative variables measured for the same individuals is displayed in a scatterplot. One variable's values are shown on the horizontal axis, and the other variable's values are shown on the vertical axis. Each individual in the data is represented by a point on the graph.

As the values of the independent variables rise, a linear connection shows as a straight line, rising or dropping. A direct relationship is shown by a rising line to the right. If the line curves right, there is an inverse relationship.

For every 12 pop songs played on the streaming music channel, there are 8 hip-hop tracks.

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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

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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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 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: dotted/dashed line

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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If you have three points in space , we can use direction vector , check if vectors are collinear or proportional to know those 3 points lie on the same line.

If you have three points in space and you find a vector that is projected onto another vector from each of these three points, it is possible to determine if the three points lie on the same line. Here's how you can do it:

Find the direction vector: Calculate the direction vector from one of the points to the other two points.

Check if the projection vectors are collinear: If the projection vectors from all three points are collinear, it means that they are all pointing in the same direction and are proportional to each other.

Check if the projection vectors are proportional: If the projection vectors are proportional, it means that they are all pointing in the same direction, and the three points are on the same line. Note that in order to determine if the projection vectors are proportional, you would need to know the magnitude of the projection vectors.

If the three points do lie on the same line, the direction vector found in step 1 will be proportional to the projection vectors found in step 2 and step 3, and all three points will lie on the same line in space.

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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: 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 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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Answer:

Step-by-step explanation:

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