Luther's class recorded how many states each student has visited.
States visited
) Number of states
) Name
Luther
Amelia
Oliver
Katie
Emilio
Joe
Dustin
2
5
2
3
1
) What is the median of the numbers?

Answer:

1397.54248594

Step-by-step explanation:

I am glad you asked!First we need to write square root for our equation.Then we need to do 125\(^\)^3.We then need to put all this together.We get square root 125\(^\)^3.It equals 1397.54248594.

The solution of expression is,

⇒ 1404.9

We have to give that,

An expression is,

''square root of 125 to the power of 3''

Now, It can be written as,

⇒ ( √125 )³

⇒ \(125^{3/2}\)

⇒ (11.2)³

⇒ 11.2 × 11.2 × 11.2

⇒ 1404.9

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In an incidence geometry with the additional axiom that every line has exactly three points lying on it, the minimum number of points required is 4.

This is because a line must have at least two-points to exist, and if it has only two points, it is not possible to have another point lying on it (since every line must have exactly three points).

Hence, there must be at least 4-points to create two lines such that each line contains exactly three points.

Also, with 4 points, it is possible to create 6 lines such that each line contains exactly 3 points, forming a configuration known as the Fano-plane, which is the smallest example of an incidence geometry that satisfies the given axiom.

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The ratio in simplest form in the three cases is 5 : 6, 36 : 29 and 1 : 5.

30 treadmills to 36 elliptical machines can be simplified to 5 treadmills to 6 elliptical machines. To simplify, you can divide both numbers by their greatest common factor, which in this case is 6.

30/6 = 5 and 36/6 = 6

So 30 : 36 = 5 : 6

180 red marbles to 145 blue marbles can be simplified to 12 red marbles to 11 blue marbles. To simplify, you can divide both numbers by their greatest common factor, which in this case is 5.

180/5 = 36 and 145/5 = 29

180 : 145 = 36 : 29

In the word "flashlight", the ratio of vowels to total letters is 2:8. The word "flashlight" has 2 vowels (a,i) and 10 total letters. To simplify divide by 2.

2 : 10 = 1 : 5

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The sample size required to estimate the population mean to within a sampling error of ±20 and a 95% confidence level is 96.

Given, the confidence level = 95%

(z = 1.96)

Sampling error = ±20

Standard deviation = 100

We need to find the sample size required.

The formula for sample size, n is given as:

\(n = \left(\frac{zσ}{E}\right)^2$$\)

where z is the z-score (for the given confidence level), σ is the standard deviation, and E is the sampling error.

Substitute the given values in the formula.

n = \(\left(\frac{1.96\cdot 100}{20}\right)^2\)

\(n = \left(9.8\right)^2\)

n = 96.04

We need to round the answer to the nearest integer. Therefore, the sample size required, n ≈ 96.

Write the answer in the main part:

The sample size required to estimate the population mean to within a sampling error of ±20 and a 95% confidence level is 96. Explanation: To estimate the population mean with a certain level of confidence, we take a sample of a specific size from the population.

The sample size is determined based on the required level of confidence, the acceptable level of sampling error, and the standard deviation of the population.The formula for the sample size is n = \(\left(\frac{zσ}{E}\right)^2$$\).

By substituting the given values, we get \(n = \left(\frac{1.96\cdot 100}{20}\right)^2$$\)

\(= \left(9.8\right)^2$$\)

= 96.04

Since we need to round the answer to the nearest integer, the sample size required is 96.

Therefore, the sample size required to estimate the population mean to within a sampling error of ±20 and a 95% confidence level is 96.

Conclusion: Therefore, the sample size required to estimate the population mean to within a sampling error of ±20 and a 95% confidence level is 96.

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A sample size of 97 is required to be 95% confident of estimating the population mean within a sampling error of ±20, assuming a standard deviation of 100.

To determine the required sample size, we can use the formula for the sample size required to estimate a population mean with a desired level of confidence:

n = (Z * σ / E)^2

Where:

n = sample size

Z = Z-score corresponding to the desired level of confidence

σ = standard deviation of the population

E = sampling error

In this case, we want to be 95% confident with a sampling error of ±20, and the standard deviation is assumed to be 100. The Z-score corresponding to a 95% confidence level is approximately 1.96.

Substituting these values into the formula:

n = (1.96 * 100 / 20)^2

n = (196 / 20)^2

n = (9.8)^2

n ≈ 96.04

Rounding up to the nearest integer, the required sample size is 97.

Therefore, a sample size of 97 is required to be 95% confident of estimating the population mean within a sampling error of ±20, assuming a standard deviation of 100.

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Answer: 3/5t + 2 = 2 can be translated into a sentence.

That sentence can be: three fifths a number plus two is equal to two.

Answer:

\(\begin{array}{ccc}cause&accidents&frequency\\pilot\ error&581&0.253\\human\ error&56&0.024\\weather&579&0.252\\mechanical&555&0.242\\sabotage&526&0.229\end{array}\)

Pilot error, better training of pilots may reduce accidents.

Step-by-step explanation:

The total number of crashes is:

\(n = 581+56+579+555+526\\n=2297\ crashes\)

The relative frequency is given by the number of accidents caused by each factor divided by the total number of accidents. The relative frequency distribution is:

\(\begin{array}{ccc}cause&accidents&frequency\\pilot\ error&581&0.253\\human\ error&56&0.024\\weather&579&0.252\\mechanical&555&0.242\\sabotage&526&0.229\end{array}\)

The most serious threat to aviation​ safety is pilot error, a better training of current and future pilots could be a solution to reduce accidents.

Step-by-step explanation:

d = a  -  - a   = a + a = 2a

Answer: your answer is $74.81  and you are welcome

Step-by-step explanation:

$3.00 +$64.00 + $4.00 +$3.81 = $74.81

Answer:

11) 20%

12)40

13)19

14)216

15)25%

16) 50

17) 986

18)220%

19)40

20)100%

Step-by-step explanation:

with percentages it is part divided by the whole times 100 so an example would be 73 divided by 365 times 100

Answer:

11) 20%

12) 40

13) 19

14) 216

15) 25%

16) 50

17) 986

18) 220%

19) 40

20) 100%

Here's a fat rat in a hat

The only transformation that would carry rectangle ABCD onto itself is a single rotation of 180 degrees in a parallelogram.

Rectangle ABCD's characteristics and how each transformation affects its orientation and location must be examined in order to identify the collection of reflections and rotations that would carry the rectangle onto itself of a parallelogram.

First, using the provided coordinates, let's determine the sides of the rectangle: AB is parallel to DC, and AD is parallel to BC. Also, we can observe that the lengths of AB and AD are equal to DC and BC, respectively, indicating that the opposite sides are congruent.

The rectangle is first suggested to be rotated 180 degrees. This transformation simply maps each point to its corresponding point on the rectangle; the rectangle's orientation is left unchanged. Hence, rectangle ABCD would be carried onto itself by this transformation alone.

The rectangle is first reflected over the x-axis, rotated 180 degrees, and then reflected once more over the x-axis is the second transformation suggested. This series of transformations flips the rectangle's orientation while mapping each point to its equivalent point on the other side of the rectangle. Hence, the rectangle ABCD would not be carried onto itself by this transformation sequence.

The third suggested transformation involves reflecting the rectangle first over the y-axis, then over the line y = x, and then back over the y-axis. The rectangle's orientation is maintained but its position is altered by this series of modifications. Hence, the rectangle ABCD would not be carried onto itself by this transformation sequence.

The rectangle is to be rotated 180 degrees, reflected over the line y = x, and then reflected over the x-axis as the fourth transformation suggested. Each point is moved and mapped to a point on the other side of the rectangle via this series of transformations. The rectangle's orientation is also altered, though. Hence, the rectangle ABCD would not be carried onto itself by this transformation sequence.

Hence, a single 180° rotation is the only transformation that could turn rectangle ABCD upon itself.

In conclusion, we studied the features of the rectangle and the consequences of each transformation on its orientation and location to find the set of reflections and rotations that would transport rectangle ABCD onto itself. In contrast to the other suggested transformations, we discovered that only a single rotation of 180 degrees would keep the rectangle's orientation and location intact.

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Answer:

-1/2 is slope

Step-by-step explanation:

Answer:

Step-by-step explanation:

locate (-8,9) on the coordinate plane

so when a (negative, positive) means it would be in quadrant 2

so the x-axis is -8 which means its on the left side on x line, so find -8 on the x line then go up to 9 on the y-axis and thats how you find it.

Answer:

1.125 pounds = 18 ounces

Answer:

Change what you have "irrational" to "rational" then you should be good! :)

Answer:

hey it is 15.71 thanks for points

The probability of the principal drawing a student's name from the Voyagers team on the second try, we need to consider the total number of students in the school after the first selection.the probability is: Probability = 82 / 399 ≈ 0.205

Initially, there are a total of 400 students in the school. Since the principal selects a student from the Voyagers team on the first try, one student is removed from the pool of possible candidates. Therefore, there are now 399 students remaining in the school.

Out of these 399 students, the number of students in the Voyagers team is 82. So, the probability of the principal drawing a student from the Voyagers team on the second try can be calculated as:

Probability = Number of favorable outcomes / Total number of outcomes

Number of favorable outcomes = Number of students in the Voyagers team after the first draw = 82

Total number of outcomes = Total number of remaining students in the school after the first draw = 399

Therefore, the probability is:

Probability = 82 / 399 ≈ 0.205

So, there is approximately a 20.5% chance that the principal will draw the name of a student from the Voyagers team on the second try.

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Answer: X = 1/7

Step-by-step explanation:

37x = 9x + 4

subtract 9x to both sides

28x = 4

now divide by 28

x = 4/28

simplified its

x = 1/7

Answer:

28x=4

x=1/7

Step-by-step explanation:

First you would make simplyfiy the expression so that you would have x on one  side, when you do that you will get 28x=4. When simplyfied you will get 1/7.

Answer: (1,3)and (-4,-12)

Step-by-step explanation:

The volume of the prism is

The volume of the prism is solved by the formula

= area of triangle * depth

Area of the triangle

= 1/2 base * height

base = p = cos 51.34 * √41 = 4

height = q = sin 51.34 * √41 = 5

= 1/2 * 4 * 5

= 10

volume of the prism

= area of triangle * depth

= 10 * 7

= 70 cm³

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Answer:

Lifegard

Step-by-step explanation:

Answer:

The Lifeguard Job

from khan academy (AKA KA)

Step-by-step explanation:

Elijah runs at constant speed

2.4 hours -----------> 13.8 miles

1 hour ---------------> 13.8/2.4

1 hour ---------------> 5.75 miles

Elijah run 5.75 miles in each hour at constant speed

Answer:

10.4 to nearest tenth.

Step-by-step explanation:

If we draw lines from the centre of the circle to each vertex of the hexagon we get 6  equilateral triangles  of side length 2.

Altitude of each triangle  = sqrt(2^2 - 1^2)

= sqrt3.

So the area of 1 triangle = 1/2 * 2 * sqrt3

= sqrt3

Therefore the area of the hexagon = 6 * sqrt3

= 6sqrt3

= 10.3923

Supplementary angles - Two angles are said to be supplementary if the sum of their measures is equal to 180 degrees.

Supplementary angles are a pair of angles whose sum is 180 degrees. For example, if one angle measures 100 degrees, then the other angle would measure 80 degrees. Any two angles that add up to 180 degrees are supplementary angles.

Complementary angles are a pair of angles whose sum is 90 degrees. For example, if one angle measures 40 degrees, then the other angle would measure 50 degrees. Any two angles that add up to 90 degrees are complementary angles.

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The area of rectangle B is 256 cm²

The area occupied by a rectangle within its boundary is called the area of the rectangle.

Thus, the formula for the area, 'A' of a rectangle whose length and width are 'l' and 'w' respectively is the product

Area of rectangle= length  × width.

It is given that the dimensions of rectangle B are twice times the dimensions of rectangle A.

Let dimensions of rectangle B are l× B.

Area of rectangle is

A= length *  breadth

Area of rectangle A = 128

So, Area of rectangle B

=2( l * B)

= 2l* 2B

=2( l * B)

=2 * 128

= 256 cm²

Hence, the area of rectangle B is 256 cm²

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To evaluate the triple integral, E xyzdV, we must integrate with respect to each of the three variables: x, y, and z. Let's begin by finding the limits of integration for each of these three variables.

The integral can now be written as:

E xyzd

V = ∫₀¹ ∫₀¹ ∫₀¹ xyz dzdydx

By evaluating the integral, we get:

E xyzdV = 1/6.

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The bottleneck time is 10, as this is the longest time for any station in the assembly line.

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Answer:

the answer is D

Step-by-step explanation:

y>4 : the shaded region is above the line

y>x : the shaded region is above the line

Answer:

1.6 boxes

Step-by-step explanation:

\( \frac{1}{5} \times 8 = \frac{8}{5} = 1.6\)