Find the weighted average of the points in the line

Answer:

.091651514m

Step-by-step explanation:

The area of a square is found by

A = s^2 where s is the side length

.0084 = s^2

Take the square root of each side

\(\sqrt{.0084} = \sqrt{s^2}\)

.091651514 = s

Answer:

I think 9.16515139 power -02

The perimeter of the figure is 53.7.

Perimeter can be defined as the total distance around a object.

To calculate the perimeter of the the figure below, we use the formula below.

Formula:

From the diagram,

Given:

Substitute these values into equation 1

Hence, the perimeter of the figure is 53.7

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Answer:

\(LS = 63\)

Step-by-step explanation:

Given

\(LS = 14x - 21\)

\(LH = 15\)

\(HS = 8x\)

Required

Determine the length of LS

Since H is between L and S, then

\(LS = LH + HS\)

Substitute 14x - 21 for LS, 15 for LH and 8x for HS

\(14x - 21 = 15 + 8x\)

Collect Like Terms

\(14x - 8x = 21 + 15\)

\(6x = 36\)

Divide both sides by 6

\(x = 6\)

Substitute 6 for x in \(LS = 14x - 21\)

\(LS = 14(6) - 21\)

\(LS = 84 - 21\)

\(LS = 63\)

Hence, the length of LS is 63 units

Answer:

1) AD = 9 in

2) DE = 9.25 in

3) ∠EDC = 36°

4) ∠AEB = 108°

5) 11.5 in

Step-by-step explanation:

1) AD = BC = 9in

2) AC = BD (diagonals are equal)

⇒ BD = 14.25

⇒ BE + DE = 14.25

⇒ 5 + DE = 14.25

DE = 9.25

3) Since AB ║CD,

∠ABE = ∠EDC = 36°

4) ∠ABE = ∠BAE = 36°

Also ∠ABE + ∠BAE + ∠AEB = 180 (traingle ABE)

⇒ 36 + 36 + ∠AEB = 180

∠AEB = 108

5) midsegment = (AB + CD)/2

= (8 + 15)/2

11.5

Fritz et al. (2019) conducted an experimental study where high school students were randomly assigned to either write weekly gratitude letters or list their daily activities each week.

The study conducted by Fritz et al. (2019) involved randomly assigning high school students to either write weekly gratitude letters or list their daily activities each week. To determine the type of study conducted, we need to consider the answer choices: correlational, naturalistic, experimental, and observational.
In this case, the study can be classified as an experimental study. This is because the researchers assigned participants to specific conditions (gratitude letters or daily activity lists) and observed the effects of these conditions on the participants' outcomes.

By randomly assigning the participants to the different groups, the researchers aimed to minimize any pre-existing differences between the groups, making it possible to draw causal conclusions about the impact of the intervention (gratitude letters or daily activity lists).
In conclusion, Fritz et al. (2019) conducted an experimental study where high school students were randomly assigned to either write weekly gratitude letters or list their daily activities each week.

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Using the given natural abundances of titanium-46, titanium-47, and titanium-48, we find that the average atomic mass of titanium on this planet is approximately 46.4 amu.

To calculate the average atomic mass of titanium on another planet, we need to consider the natural abundances of its isotopes. The average atomic mass is calculated by multiplying the mass of each isotope by its relative abundance and summing up these values.

Let's assume that the three isotopes of titanium on this planet are denoted as titanium-46, titanium-47, and titanium-48. The natural abundances of these isotopes are given as follows:

Isotope Natural Abundance

Titanium-46 70%

Titanium-47 20%

Titanium-48 10%

To calculate the average atomic mass, we multiply the mass of each isotope by its relative abundance and sum up these values. The atomic masses of titanium-46, titanium-47, and titanium-48 are approximately 46.0 amu, 47.0 amu, and 48.0 amu, respectively.

Average Atomic Mass of Titanium:

(46.0amu×70%)+(47.0amu×20%)+(48.0amu×10%)

=(32.2amu)+(9.4amu)+(4.8amu)

=46.4amu

Therefore, the average atomic mass of titanium on this planet is approximately 46.4 atomic mass units (amu).

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Answer:

\(m=-3\)

Step-by-step explanation:

Given points:
\((5,3),(8,-6)\)

1. Find the slope

The slope of a line between two points equals the change in the points' y-coordinates (rise) over the change in their x-coordinates (run).

The coordinates of point 1 are: \(x_1=5,y_1=3\)

The coordinates of point 2 are: \(x_2=8,y_2=-6\)

To find the slope, plug the points' x and y-coordinates into the formula and combine to simplify:

\(m=\frac{y_2-y_1}{x_2-x_1}\)

\(m=\frac{-6-3}{8-5}\)

\(m=\frac{-9}{3}\)

\(m=-3\)

Answer:

Overtime hours = [h - 40] hours

Step-by-step explanation:

Given:

Weekly hour work = 40 hours per week

Total hour work = h hours

Find:

Overtime hours

Computation:

Overtime hours = Total hour work - Weekly hour work

Overtime hours = [h - 40] hours

With a greater mean value , we can conclude that the sixth period class test was better than the second period .

Second period class:

Mean = (55+70+6*75+6*80+2*85+3*90+95)/20

Mean = 1590/20 = 79.5

Sixth period class:

Mean = (65+3*75+5*80+6*85+3*90+2*95)/20

Mean = 1660/20 = 83

Therefore, From the mean values , we can infer that students performed better in test for the sixth period class than the second .

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The answer is (c) 16. The area of the region inside the six-leaved rose r^2 = 8 cos(3θ) can be found by integrating the function 1/2 * r^2 dθ over the appropriate interval.

In this case, the interval for θ would typically be from 0 to 2π since we want to cover the full rose.

To find the area, we can rewrite the equation in terms of r and solve for r: r = √(8 cos(3θ)).

Then, the area can be calculated using the integral:

Area = ∫[0 to 2π] 1/2 * (√(8 cos(3θ)))^2 dθ

Simplifying the integrand and integrating, we get:

Area = ∫[0 to 2π] 4 cos(3θ) dθ

Using trigonometric identities, we can evaluate this integral to find:

Area = [8/3] * ∫[0 to 2π] cos(3θ) dθ

Since the integral of cos(3θ) over a full period is zero, the area simplifies to:

Area = [8/3] * 0

Area = 0

Therefore, the correct answer is (c) 16.

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Answer: 13:1

Step-by-step explanation:

Number of candies = 1170

Number of gumdrops = 1080

Number of chocolate bars = 90

The ratio of candies to chocolate bars will be calculated thus:

= Number of candies / Number of chocolate bars

= 1170 / 90

= 13/1

= 13:1

Therefore, the ratio of candies to chocolate bars is 13:1.

Answer:

A=20.8cm

A = 1/2 * base * height

A= 1/2 * 8 * 5.2

To create a stemplot, we first need to separate the data into "stems" and "leaves." Each stem represents the first digit(s) of each data point, while each leaf represents the last digit(s). For example, if the data point is 12.3, the stem would be 12 and the leaf would be 3.

To make a stemplot, the data should be arranged in increasing order, and then separated into stems and leaves.

However, you can use the data given and arrange it in increasing order and separate it into stems and leaves to make a stemplot. A stemplot is a good way to check if the data follow a normal distribution quite closely, the more the data is spread out and the more symmetric it is, the more likely it is to follow a normal distribution.

Also, it is important to mention that from the given data, it is not possible to conclude if the percent change in this population has standard deviation of 2.5%. This parameter can only be estimated from a sample if it follows a normal distribution which is not clear from the given data.

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Answer:$756

Step-by-step explanation:

Answer:

son 0222

Step-by-step explanation:

espero que te ayude

The value of a and r after evaluating the geometric progression is 24 and 2 respectively.

Geometric Progression (GP) is a type of sequence where each succeeding term is produced by multiplying each preceding term by a fixed number, which is called a common ratio.

For the first G.P,

Given:

Then, the 6th term is

768 = ar⁵............... Equation 1

For the second G.P,

Given:

Then, the 3rd term is

Dividing equation 1 by equation 2

Substitute these value of r into equation 2

Hence, the values of a and r is 24 and 2 respectively.

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The closest to the probability that a person's favorite sport is 28%.

Probability of an event happening is the ratio of the number of required outcome to that of the total number of possible outcomes. while the probability of the event not happening is one minus the event happening.

From the question, the number of required outcome is 18 and the number of possible outcomes is 25.

So the probability of the event that a person's favorite sport is not basketball = 1 - (18/25)

probability of the event that a person's favorite sport is not basketball = (25 - 18)/25 [simply to a single fraction]

probability of the event that a person's favorite sport is not basketball = 7/25

probability of the event that a person's favorite sport is not basketball = 28/100 [convert to percentage]

probability of the event that a person's favorite sport is not basketball = 38%

Therefore, the probability that a person's favorite sport will not be baskitballbis 38%.

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Answer:

C. 7

Step-by-step explanation:

4 * Sum (i = 1 to 3) (1/2)^(i - 1) =

= 4 * [(1/2)^0 + (1/2)^1 + (1/2)^2]

= 4 * [1 + 1/2 + 1/4]

= 4 * [7/4]

= 7

Answer:

7

Step-by-step explanation:

because I'm smart like that

Answer:

Inverse

Step-by-step explanation:

Taking the square root is the inverse operation of squaring a number.

Without using a calculator, the trigonometric expressions simplify to:

1. sin^(-1)(sin(θ/6)) = θ/6

2. cos^(-1)(cos(5/4)) = 5/4

3. tan^(-1)(tan(5/6)) = 5/6.

To compute the trigonometric expressions without using a calculator, we can make use of the properties and relationships between trigonometric functions.

1. sin^(-1)(sin(θ/6)):

Since sin^(-1)(sin(x)) = x for -π/2 ≤ x ≤ π/2, we have sin^(-1)(sin(θ/6)) = θ/6.

2. cos^(-1)(cos(5/4)):

Similarly, cos^(-1)(cos(x)) = x for 0 ≤ x ≤ π. Therefore, cos^(-1)(cos(5/4)) = 5/4.

3. tan^(-1)(tan(5/6)):

tan^(-1)(tan(x)) = x for -π/2 < x < π/2. Thus, tan^(-1)(tan(5/6)) = 5/6.

Hence, without using a calculator, we find that:

sin^(-1)(sin(θ/6)) = θ/6,

cos^(-1)(cos(5/4)) = 5/4,

tan^(-1)(tan(5/6)) = 5/6.

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Answer:

1264

Step-by-step explanation:

is the answer...........

(a) The sample mean is 860.3.

(b) The sample standard deviation is 332.2.

(c) A 90% confidence interval for the population mean is (714.6, 1006.0).

In order to find the sample mean, we need to calculate the average of the given test scores. Adding up all the scores and dividing the sum by the total number of scores (12 in this case) gives us the sample mean. In this case, the sample mean is 860.3.

To find the sample standard deviation, we need to measure the amount of variation or spread in the data set. First, we calculate the differences between each score and the sample mean, square these differences, sum them up, divide by the total number of scores minus 1, and finally, take the square root of this result. The sample standard deviation is a measure of how much the scores deviate from the mean. In this case, the sample standard deviation is 332.2.

Constructing a confidence interval involves estimating the range within which the population mean is likely to fall. In this case, we construct a 90% confidence interval, which means we are 90% confident that the true population mean lies within this interval.

To calculate the interval, we use the formula: sample mean ± (critical value * standard error). The critical value depends on the desired confidence level and the sample size. For a 90% confidence level and a sample size of 12, the critical value is approximately 1.796.

The standard error is the sample standard deviation divided by the square root of the sample size. Plugging in the values, we find that the 90% confidence interval for the population mean is (714.6, 1006.0).

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Answer:

Step-by-step explanation:

First, you want to simplify so the equation would be x+2≤6 or x≤4

Because you are solving for x you want to graph a vertical line on 4.

Then you shade on the left side of the line because it is less than or equal to. If it were just less then you would do a dashed line on 4 but because it is also equal to 4 then you keep it a solid line.

I recommend using Desmos graphing calculator.

Answer:

8

Step-by-step explanation:

1/2*4*4*1=8

Answer:

(1) linear functions grow by equal factors over equal intervals

I think this is right, I may be wrong

Step-by-step explanation:

Hope this helps :)

Answer:

\(r = \sqrt{ {(6 - 2)}^{2} + {(1 - ( - 3))}^{2} } \)

\(r = \sqrt{ {4}^{2} + {4}^{2} } = \sqrt{16 + 16} = \sqrt{32} \)

So the equation of the circle is

\( {(x - 2)}^{2} + {(y + 3)}^{2} = 32\)

Answer:

3.1405

Step-by-step explanation:

\(10^{0}\) = 1   ⇒ This is always the case

So,

3.1405 × 1 = 3.1405

Dilated triangle Vertex A' = (-42,-22) = (-8,-4),Vertex B' = (02,02) = (0,0), Vertex C' = (-42,42) = (-8,8).

Dilation is a transformation in which a shape is enlarged or reduced by a certain scale factor, while keeping the shape and proportions of the original shape. In the context of triangles, dilation involves multiplying each of the triangle's coordinates by a common scale factor.

When a triangle is dilated, all sides of the triangle are lengthened or shortened by the same scale factor, and all angles of the triangle remain congruent. The vertices of the triangle are moved farther away or closer together, depending on whether the scale factor is greater than or less than 1, respectively.

Dilation is commonly used in geometry to create similar shapes that have different sizes. In real-life applications, dilation can be used to create maps or blueprints at different scales or to resize images while preserving the aspect ratio.

To graph the triangle after a dilation with a scale factor of 2 centered at the origin, we need to multiply the coordinates of the original triangle by 2. The new coordinates will represent the vertices of the dilated triangle.

Original triangle:

Vertex A = (-4,-2)

Vertex B = (0,0)

Vertex C = (-4,4)

Dilated triangle:

Vertex A' = (-42,-22) = (-8,-4)

Vertex B' = (02,02) = (0,0)

Vertex C' = (-42,42) = (-8,8)

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9514 1404 393

Answer:

  7^5 = 16,807

Step-by-step explanation:

The applicable rule of exponents is ...

  (a^b)(a^c) = a^(b+c)

__

Here, we have a=7, b=2, c=3, so ...

  (7^2)(7^3) = 7^(2+3) = 7^5 = 16,807