QUESTION 4, Saturday, October 10th, 2020

I have some geometry questions today. Please include your thoughts or reasoning with your answer. Thanks!

Answer:

0

Step-by-step explanation:

hope you find what you are looking for:)

Answer: |-2|, |3| |4|, |-7|

Step-by-step explanation:

Very simple question: an absolute basically means you replace the sign with a positive one.

So |-7| = 7, |4| = 4, |-2| = 2, |3| = 3

The z-values of the sampling distributions are;

A sampling distribution is a probability distribution obtained through the repeated sampling of a specified population.

The z-value for a sampling distribution can be obtained using the formula;

\(z = \frac{\bar{x} -\mu}{\frac{\sigma}{\sqrt{N} } }\)

Where;

\(\bar{x}\) = The sample mean

μ = The population mean = 156

σ = The population standard deviation = 23

N = The sample size

The z-values for the sampling distributions are therefore;

1) The number of observations selected from the population, is 76, and the sample mean is; \(\bar{x}\) = 162, we get the following z-value.

When, N = 76 and \(\bar{x}\) = 162

2) The selected observations is 92, and the sample mean is; \(\bar{x}\) = 151, we get the following z-value.

When, N = 92 and \(\bar{x}\) = 151

3) The number in the random sample, N = 102 and the sample mean is; \(\bar{x}\) = 151, we get;

When, N = 102 and \(\bar{x}\) = 151

4) The number of observations in the random sample, N = 120 and the sample mean is; \(\bar{x}\) = 149, we get;

When, N = 120 and \(\bar{x}\) = 149

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The option that is next in the series will be option D. The Pentagon.

The next step in the series will be option D. The first circle has a vertical line with two points while the second circle has a triangle with three points.

The third circle has a shape with four points, and given this series, we can predict that the fourth circle will have a shape with five points. Option D satisfies this condition as it has a pentagon with five sides. There are five dotted points that prove that the figure is a pentagon.

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The decay rate for the resale price of laser cutting tool will be -121000\(e^{-0.22t}\)

Let R is the resale value of a particular type of laser cutting tool after years

Where, R(t) = 550000\(e^{-0.22t}\)

Rate at which the resale value is changing will be dR/dt = 550000\(e^{-0.22t}\)(-0.22)= -121000\(e^{-0.22t}\)

Initial value of the laser cutting tool, at time ‘t’ =0 will be 550000\(e^{-0.22t}\)x0 = 550000

At time ‘t’ resale value is 550000 \(e^{-0.22t}\)

Therefore, the decay in resale price = 550000 - 550000 \(e^{-0.22t}\)

Therefore, the decay rate = (550000 - 550000 \(e^{-0.22t}\))/t = 550000(1-\(e^{-0.22t}\))/t

As we have dR/dt = R’ = -121000\(e^{-0.22t}\)

Therefore, R’(10) = -121000\(e^{-2.2}\) = -13407.18

Therefore, after 10 years the resale price will be -13407.18

R’(20) = -121000\(e^{-4.4}\)= -1485.55

Therefore, after 20 years the resale price will be -1485.55

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The point of concurrency of the right bisectors of the sides of a triangle is called the circumcenter.

- The right bisector of a side of a triangle is a line that divides the side into two equal segments and is perpendicular to that side.
- The circumcenter is the point where the perpendicular bisectors of the sides of a triangle intersect.
- The circumcenter is equidistant from the vertices of the triangle.
- It lies inside the triangle if the triangle is acute, on the triangle if the triangle is right-angled, and outside the triangle if the triangle is obtuse.
- The circumcenter is the center of the circle that passes through all three vertices of the triangle, known as the circumcircle.
- The circumcenter has a special property: it is equidistant from the three vertices of the triangle, which means the distances from the circumcenter to each vertex are the same.

In conclusion, the point of concurrency of the right bisectors of the sides of a triangle is the circumcenter, which is the center of the circumcircle and equidistant from the triangle's vertices.

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Applying the linear pair theorem and the sum of interior angles of hexagon, we have:

Angle 7 = 92°

Angle 1 = 107°

According to the linear pair theorem/postulate, when two angles lie on a straight line, the sum of their measures equals 180 degrees.

Angle 7 lie on a straight line with 88°, therefore, applying the linear pair theorem, we have:

Angle 7 + 88 = 180

Subtract both sides by 88

Angle 7 + 88 - 88 = 180 - 88

Angle 7 = 92°

Also, using the linear pair theorem, we have:

Angle 5 = 180 - 64

Angle 5 = 116°

Angle 3 = 180 - 57

Angle 3 = 123°

Sum of interior angles of hexagon equals 720°, therefore:

Angle 1 + angle 3 + angle 5 + angle 7 + 118 + 164 = 720°

Plug in the known values

Angle 1 + 123 + 116 + 92 + 118 + 164 = 720

Angle 1 + 613 = 720

Subtract both sides by 613

Angle 1 + 613 - 613 = 720 - 613

Angle 1 = 107°

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Markov analysis is used for analyzing the performance and reliability of complex systems, while replacement charts are used for optimizing the replacement timing of deteriorating assets.

Markov Analysis:

Markov analysis is a probabilistic model that is used to predict the future state of a system based on its current state.

It involves the use of Markov chains to model the transitions between different states of a system over time.

Markov analysis is commonly used when the equipment or system under consideration can be in multiple states with varying probabilities of transition.

It is suitable for analyzing systems that have a continuous or non-repairable nature, such as complex machinery, infrastructure, or systems with multiple failure modes.

The primary objective of Markov analysis is to assess the reliability, availability, and performance of the system and make decisions regarding maintenance, replacement, or repair strategies.

Replacement Chart:

A replacement chart, also known as a replacement model or replacement policy, is a decision-making tool used to determine the optimal time to replace a piece of equipment or system.

It involves comparing the costs associated with continuing to use the existing equipment (including maintenance and repair costs) with the costs of replacing it.

The replacement chart provides a visual representation of the costs over time and helps identify the point at which replacement becomes more cost-effective than continued use.

Replacement charts are commonly used for assets that are subject to wear and tear, aging, or deterioration over time, such as vehicles, machinery, or equipment with a defined lifespan.

The primary objective of a replacement chart is to minimize costs associated with the asset's life cycle by optimizing the replacement timing.

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Answer:

4\(\pi\) * 7 = 28\(\pi\)

28\(\pi\) - 4\(\pi\) = 24\(\pi\) = 75.36

75 square meters

Step-by-step explanation:

Answer:

h

Step-by-step explanation:

The tangent in the unit circle is equal to 0.334.

Since, We know that;

In trigonometry, unit circles are representations of a circle with radius 1 and centered at the origin of a Cartesian plane commonly use to estimate and understand angles and trigonometric functions related to them.

Here, Angles are generated by line segments whose coordinates are of the form (x, y), where x is the position of the terminal point along the x-axis and y is the position of the terminal point along the y-axis.

In addition, the tangent of the angle generated in a unit angle is defined by the following equation:

tan θ = y / x     (1)

If we know that x = - 0.9483 and y = - 0.3173, then the tangent of the angle generated in the unit circle is:

tan θ = (- 0.3173)/(- 0.9483)

tan θ = 0.334

Thus, The tangent in the unit circle is equal to 0.334.

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Answer:

CORRECT AMONDO

Step-by-step explanation:

Answer:

Rearrange [1] to get an expression for

x

[

3

]

XXXXX

x

=

3

+

3

y

Substitute the expression for

x

from [3] into [2]

[

4

]

XXXXX

2

(

3

+

3

y

)

+

9

y

=

11

Simplify

[

5

]

XXXXX

6

+

6

y

+

9

y

=

11

[

6

]

XXXXX

15

y

=

5

[

7

]

XXXXX

y

=

1

3

Substitute the value of

y

from [7] into [1]

[

8

]

XXXXX

x

−

3

(

1

3

)

=

3

Simplify

[

9

]

XXXXX

x

=

4

The solution is

(

x

,

y

)

=

(

4

,

1

3

)

Step-by-step explanation:

Answer: BMI stands for Body Mass Index, and it is a simple calculation that can help you determine whether your weight is healthy for your height. The BMI formula is as follows:

BMI = weight in kilograms / (height in meters)²

To use the BMI formula, follow these steps:

Measure your weight in kilograms. If you know your weight in pounds, you can convert it to kilograms by dividing by 2.205.

Measure your height in meters. If you know your height in feet and inches, you can convert it to meters by multiplying your height in inches by 0.0254. For example, if you are 5 feet 6 inches tall, you would calculate your height in meters as follows: (5 x 12) + 6 = 66 inches, and 66 x 0.0254 = 1.68 meters.

Once you have your weight in kilograms and your height in meters, use the BMI formula to calculate your BMI score. For example, if you weigh 70 kilograms and your height is 1.75 meters, your BMI would be calculated as follows:

BMI = 70 / (1.75)²

BMI = 70 / 3.06

BMI = 22.9

Once you have your BMI score, you can use it to determine whether your weight is within a healthy range for your height. The World Health Organization (WHO) uses the following categories to classify BMI scores:

Underweight: less than 18.5

Normal weight: 18.5 to 24.9

Overweight: 25 to 29.9

Obesity: 30 or higher

Note that BMI is not always an accurate indicator of health, as it does not take into account factors such as muscle mass and body composition. It is best used as a general guideline, and if you have concerns about your weight or overall health, it's a good idea to consult with a healthcare professional.

Step-by-step explanation:

The probability that a woman with a positive test actually has breast cancer is 0.009395.

In the given question,

For symptom-free women aged 40 to 50 who participate in screening using mammography, the following information is available for this region.

The probability that one of these women has breast cancer is 0.8%.

If a woman has breast cancer, the probability is 90% that she will have a positive mammography test.

If a woman does not have breast cancer, the probability is 7% that she will still have a positive mammography test.

Then we have to find the probability that a woman with a positive test actually has breast cancer.

From the given question, one of these women has breast cancer is 0.8%.

So P(A) = 0.8%

P(A) = 0.8/100

P(A) = 0.008

The probability of not having cancer P(A') is

P(A') = 1−P(A)

P(A') = 1−0.008

P(A') = 0.992

The probability of having positive mammography test and breast cancer is 90%.

Let the probability of having positive mammography test is P(B).

So P(B/A) = 90%

P(B/A) = 90/100

P(B/A) = 0.90

The probability of having positive mammography test and does not having breast cancer is 7%.

So P(B/A') = 7%

P(B/A') = 7/100

P(B/A') = 0.07

Now finding the probability of having breast cancer and positive mammography test.

P(A/B) = P(A∩B)/P(B)....................(1)

Firstly finding the value of P(A∩B) and P(B)

Firstly finding the value of P(A∩B)

P(A∩B) = P(B/A)×P(A)

Now putting the value

P(A∩B) = 0.90×0.008

P(A∩B) = 0.0072

Now finding the value of P(B)

P(B) = P(B/A)×P(A)+P(B/A')×P(A')

Now putting the value

P(B) = 0.90×0.008+0.07×0.992

P(B) = 0.0072+0.06944

P(B) = 0.7664

Now putting the value of P(A∩B) and P(B) in Equation (1)

P(A/B) = 0.0072/0.7664

P(A/B) = 0.009395

Hence,  the probability that a woman with a positive test actually has breast cancer is 0.009395.

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Answer:its c

Step-by-step explanation:

Answer:

The answer is A

Step-by-step explanation:

The answer is A because a reflection would be Reflected so its on the right side of the graph and the Z is facing the other way as if it were a literal reflection which it is.

Hope my awkward way of explaining this helps you on your test since i just passed mine and it said A was correct.

There are multiple strategies we can use to find the diameter of a circle. For this question, we must calculate the length of the radius first and multiply by 2 to find the diameter.

We're given the centre and a point on the circumference: \((-2,1),(6,7)\).

Find the distance between them using the distance equation:

\(d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

Plug in the given points:

\(d=\sqrt{(-2-x_1)^2+(1-y_1)^2}\\d=\sqrt{(-2-6)^2+(1-7)^2}\\d=\sqrt{(-8)^2+(-6)^2}\\d=\sqrt{64+36}\\d=\sqrt{100}\\d=10\)

Therefore, the radius of the circle is 10 units.

Multiply the radius by 2 to find the length of the diameter:

10 × 2

= 20

Therefore, the length of the diameter is 20 units.

20 units

Answer:

x - 2

Step-by-step explanation:

\( \frac{ {x}^{2} - 12x + 20}{x - 10} \\ \\ = \frac{ {x}^{2} - 10x - 2x + 20 }{x - 10} \\ \\ = \frac{x(x - 10) - 2(x - 10)}{(x - 10)} \\ \\ = \frac{(x - 10)(x - 2)}{(x - 10)} \\ \\ = x - 2\)

Answer:

L to M is 90 degrees

Step-by-step explanation:

Hope this helps!

Answer:

180

Step-by-step explanation:

i straight line is equal to 180

Answer:

$42.00

Step-by-step explanation:

27+15 = 42

(also, Luke Hemmings???)

ok, I didn't know it was percent... 4.05. 15% of 27

The total amount that Luke will pay is $31.05.

From the information given, it was stated that Luke went to a restaurant and his bill was $27.00 and that he wants to leave a 15% tip.

Therefore, the amount that he'll pay to the restaurant will be:

= $27.00 + (15% × $27)

= $27.00 + (0.15 × $27)

= $27.00 + $4.05

= $31.05

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Answer:

2/5,4/9,5/7

Step-by-step explanation:

2/5 = 0.4

4/9 = 0.444444444

5/7 = 0.714285

Answer:

the 2nd one

Step-by-step explanation:

hope this helped!

p.s it would be cool if you would give me brainliest

Answer:

3n-5=8n+4

Step-by-step explanation:

Answer:

A straight line.

Step-by-step explanation:

\(3y = -2x + 12\) on a coordinate plane is a line having slope \(\frac{-2}{3}\) and y-intercept  \((0,4)\) .

Firstly we try to find the slope-intercept form: \(y = mx+c\)

m = slope

c = y-intercept

We have,   \(3y = -2x + 12\)

=> \(y = \frac{-2x+12}{3}\)

=> \(y = \frac{-2}{3} x +\frac{12}{3}\)

=> \(y = \frac{-2}{3} x +4\)

Hence, by the slope-intercept form, we have

m = slope = \(\frac{-2}{3}\)

c = y-intercept = \(4\)

Now we pick two points to define a line: say \(x = 0\) and \(x=3\)

When  \(x = 0\) we have \(y=4\)

When  \(x = 3\) we have \(y=2\)

Hence,  \(3y = -2x + 12\) on a coordinate plane is a line having slope \(\frac{-2}{3}\) and y-intercept  \((0,4)\) .

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The electric field due to the sheet on the curved surface. A large sheet has charge density σ0 the net electric flux through A1 is - 5.18 x 10^(-7) Nm²/C.

The flux through any closed surface is equal to the total charge enclosed divided by ε0.

ϕE=Aq/ε0

ϕE being the electric flux, A being the area of the closed surface, q being the charge enclosed in it, andε0 being the permittivity of free space. q is negative due to the negative charge on the sheet.

The curved surface does not have any flux because of symmetry.ϕE=A1E1+A3E3 - (A1 + A3) E2ϕE is the net flux through A1 and A3,E1 and E3 are the electric fields due to the sheet at A1 and A3 respectively, and E2 is the electric field due to the sheet on the curved surface. E1 = E3, because they are equidistant from the charged sheet, so the electric field at A1 is equal to that at A3. E2 = (σ/2ε0).

A1 + A3 is equal to A2, so we can write the equation as:ϕE= A1(E1 - (σ/2ε0)) orϕE = A1σ/ε0ϕE = (0.1) x (588 x 10^(-12))/(8.85 x 10^(-12)) = - 5.18 x 10^(-7) Nm²/C, after substitution.

Therefore, the net electric flux through A1 is - 5.18 x 10^(-7) Nm²/C.

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Answer:

The monthly installment for the hire purchase of the motorbike is GHC 27.00

Step-by-step explanation:

To calculate the monthly installment for the hire purchase, we can divide the total cost by the number of months:

Monthly installment = Total cost / Number of months

In this case, the total cost is GHC 540.00 and the number of months is 20:

Monthly installment = GHC 540.00 / 20

Monthly installment = GHC 27.00

Therefore, the monthly installment for the hire purchase of the motorbike is GHC 27.00

Answer:

Translation by -4 units on the y-axis, and + 3 units on the x-axis.

Step-by-step explanation:

The answer is C

The shortest lifespan will last less than 2.5 years.

What is standard deviation?

The standard deviation is a statistic that expresses how much variance or dispersion there is in a group of numbers. While a high standard deviation suggests that the values are dispersed throughout a wider range, a low standard deviation suggests that the values tend to be close to the established mean.

First, we must utilize the conventional normal table to determine the value for z if 10% of the region (probability) to its left will be present. We can observe that about z = -1.282.

Now, we have to find the value of x, that corresponds to the value of z.

Since,

(x - μ) / σ = z

(x - 3.1) / 0.5 = -1.282

                 x = 2.459

Hence, the shortest lifespan will last less than 2.5 years.

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After answering the given query, we can state that The square is 6 inches long as a result.

According to Euclidean mathematics, a square has four equal sides and four equal angles, making it an equilateral quadrilateral. Another name for it is a rectangle with two adjacent edges that are the same length. An equilateral quadrilateral is one that has four equal sides and four equal angles, like a rectangle. 90 degree or straight angles are square angles. The square's diagonals are also divided at a 90-degree angle and are evenly spaced. a rectangle with two equal edges that is adjacent. a quadrilateral with four equal edges and right angles on all four sides. a parallelogram with two adjacent sides that are equal and make a right angle. rhombus with square sides.

Let's use the symbol x inches to represent the square's edge length.

The square's circumference, or the overall length of tape used, is 16 inches. Therefore:

4x = 16

When we simplify the solution, we obtain:

x = 4

Thus, the cube has sides that are 4 inches long.

Let's think about the parallelogram now. Its breadth is stated to be half the square, which translates to:

breadth equals 1/2 * 4 inches.

2 (length plus width) equals 16.

The result of substituting the number of the width we just discovered is:

length plus 2 equals 16,

When we simplify the solution, we obtain:

lenght + 2 equals 8

By taking 2 away from both edges, we arrive at:

width = 6

The square is 6 inches long as a result.

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Answer:

Step-by-step explanation:

To determine the greatest number of teams Mrs. Douglas can create, we need to find the largest common factor of 48 (number of boys) and 64 (number of girls).

To find the greatest common factor (GCF) of 48 and 64, we can list the factors of each number and identify the largest one they have in common.

Factors of 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Factors of 64: 1, 2, 4, 8, 16, 32, 64

The largest common factor of 48 and 64 is 16. Therefore, Mrs. Douglas can create a maximum of 16 teams, with each team consisting of 3 boys and 4 girls.

Answer:

To form teams with the same number of boys and girls, we need to find the greatest common factor (GCF) of 48 and 64.

We can start by finding the prime factorization of each number:

48 = 2 * 2 * 2 * 2 * 3

64 = 2 * 2 * 2 * 2 * 2 * 2

The GCF is found by taking the product of all the common factors raised to the smallest power. In this case, the common factors are 2 raised to the fourth power (since both numbers have four 2's in their prime factorization). So the GCF is:

GCF(48, 64) = 2^4 = 16

This means that there are 16 boys and 16 girls on each team. To find how many teams can be formed, we need to divide the total number of students by the number of students per team:

Total number of students = 48 boys + 64 girls = 112 students

Number of students per team = 16 boys + 16 girls = 32 students

Number of teams = Total number of students / Number of students per team

Number of teams = 112 / 32

Number of teams ≈ 3.5

Since we cannot have a fractional number of teams, we must round down to the nearest whole number. Therefore, the greatest number of teams Mrs. Douglas can create is 3 teams. Each team will have 16 boys and 16 girls.