Angle ABC is bisected by ray BD. If m value of x?

The vertical asymptotes on the interval [0,28] are x = 8.21, 16.42, and 24.62, and so on. At the vertical asymptotes, the comet is undefined.

Given, The distance g(x), in kilometers, of the comet after x days, for x in the interval 0 to 24 days, is given by g(x) = 200,000csc (π/24 x).

(a) The graph of the g(x) on the interval [0,28] is shown below:

(b) We need to find g(4) by putting x = 4 in the given equation. g (x) = 200,000csc (π/24 x)g(4) = 200,000csc (π/24 × 4) = 200,000csc π/6= 200,000/ sin π/6= 400,000/ √3= (400,000√3) / 3= 133,333.33 km.

(c) We know that the minimum distance occurs at the vertical asymptotes. To find the minimum distance between the comet and Earth, we need to find the minimum value of the given equation. We have, g(x) = 200,000csc (π/24 x)g(x) is minimum when csc (π/24 x) is maximum and equal to 1.csc θ is maximum when sin θ is minimum and equal to 1.

The minimum value of sin θ is 1 when θ = π/2.So, the minimum distance between the comet and Earth is given by g(x) when π/24 x = π/2, i.e. x = 12 days. g(x) = 200,000csc (π/24 × 12) = 200,000csc (π/2)= 200,000/ sin π/2= 200,000 km. This minimum distance corresponds to the constant 200,000 km.

(d) The function g(x) = 200,000csc (π/24 x) is not defined at x = 24/π, 48/π, 72/π, and so on. Therefore, the vertical asymptotes on the interval [0, 28] are given by x = 24/π, 48/π, 72/π, ...Thus, the vertical asymptotes on the interval [0,28] are x = 8.21, 16.42, and 24.62, and so on. At the vertical asymptotes, the comet is undefined.

To know more about vertical asymptotes refer here:

https://brainly.com/question/29260395

#SPJ11

The test to use when there's an independent group design and ordinal data is the Kruskal Wallis test

Given: Independent group and ordinal data. To find which test to use.

What's the Kruskal Wallis test?

The Kruskal Wallis test is used when you have one independent variable with two or further situations and an ordinal dependent variable. In other words, it's thenon-parametric interpretation of ANOVA and a generalized form of the Mann- Whitney test system since it permits two or further groups.

The Kruskal Wallis test is used when you have one independent variable with two or further situations and an ordinal dependent variable. In other words, it's thenon-parametric interpretation of ANOVA and a generalized form of the Mann- Whitney test system since it permits two or further groups.

The null thesis for the Kruskal- Wallis test simply states that there are no methodical or harmonious differences among the treatments being compared.

How to calculate the Kruskal Wallis test?

The computation of the Kruskal- Wallis statistic requires

Hence as is mentioned for an independent group design and ordinal data so we use the Kruskal Wallis test.

Know Further about "statistical tests" then: https//brainly.com/question/14128303

#SPJ4

We can use the Kruskal Wallis test when we have an independent group design and ordinal data.

We are given an independent group design and ordinate data.

We need to tell which test to use on them.

The Kruskal Wallis test is used when you have one independent variable with two or more situations and one ordinal dependent variable. In other words, it is an interpretation of ANOVA table and a generalized form of the Mann- Whitney test system.

The null hypothesis for the Kruskal- Wallis test tells us that:

There are no methodical or harmonious differences among the treatments being compared.

Therefore, we can use the Kruskal Wallis test when we have an independent group design and ordinal data.

Learn more about Kruskal Wallis test here:

https://brainly.com/question/28329564

#SPJ4

Answer:

11

Step-by-step explanation:

\(since \: mean = \frac{sum \: of \: observations}{number \: of \: observations} \\ mean = \frac{110}{10} = 11 \\ therefore \: the \: mean = 11\)

Answer:

( 14 , 0 )

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation : 3*x+6*y-(42)= Pull out like factors :

  3x + 6y - 42  =   3 • (x + 2y - 14)

Equations which are never true:   Solve :    3   =  0

This equation has no solution.

A a non-zero constant never equals zero.

-3+8x-5=-8

Move the non x terms to the right:

8x = -8+5+3

8x= 0

x=0

Answer: 0

Step-by-step explanation:

-3 +8x -5 =-8

Combine common numbers.

8x -8=-8

Add positive 8 to both sides. Doing the opposite of what's in front of the number.

8x=0

Then divide 8 from 8. Doing the opposite of what 8x is doing. (Multiplying) If you do it to one side you have to do it to the other side.

x=0

Anything times or divided by 0 equals 0

So the answer is x=0

Answer:

Sin C = 0.8824

Step-by-step explanation:

Sin C = 15/17

Sin C = 0.8824

There are 3080 ways 3 men and 2 women can be chosen if they are equally considered, using the multiplication principle of counting

The multiplication principle states that if there are m ways to perform one task and n ways to perform another task, then there are m x n ways to perform both tasks together.

To find the number of ways to choose 3 men from the 12 men, we can use the formula for combination, which is: ⁿCᵣ = n! / (r! (n-r)!).

where n is the total number of men and r is the number of men chosen

so, the number of ways to choose 3 men from the 12 men = ¹²C₃ = 1.

Similarly, we evaluate the number of ways to choose 2 women from the 8 women

as = ⁸C₂ = 14

Now, using the multiplication principle, we can find the total number of ways 3 men and 2 women be chosen if they are equally considered.

220 x 14 = 3080

Therefore, there are 3080 ways 3 men and 2 women can be chosen if they are equally considered, using the multiplication principle of counting

Know more about multiplication principle here:https://brainly.com/question/10275154

#SPJ1

Answer:

98°

Step-by-step explanation:

The two base angles of a parallelogram are always equal and likewise for the two other angles which makes the base 164° combined an 360-164=196° and 196°/2=98°

Answer:

Step-by-step explanation:

20234555446698382636

Answer:

16

Step-by-step explanation:

i hope this helps

Answer:

x-intercept is 0

y-interpret is (0,-5)

Answer:

Step-by-step explanation:

x- intercept found when y = 0

y-intercept found when x = 0

Answer:

its 12. but i reccomend cymath for this question so you don't have to wait for someone <3 ( and many other number only questions !! )

Step-by-step explanation:

Answer:

3.

Step-by-step explanation:

9 * 1 = 9

9 * 1/3 = 9/3.

        9/3 = 3.

9/3 also means 9 divided by 3.

Plus, I only multiplied the numerator because when multiplying whole numbers with fractions, we only multiply numerators. when multiplying fraction by fraction, we multiply both numerator and denominator.

hope this helps.

Answer:

Area of the trapezoid = 1/2(B+b)h

where

B= length of the longer side of the trapezoid which is equal to 14 ft

b= shorter shorter side of the trapezoid  which equal 8 ft

h = height of the trapezoid which is equal to 4 ft

Area of the trapezoid = 1/2 (14+8)4

Area of the trapezoid yard fence of Duc is 44ft^2

Step-by-step explanation:

Answer:

x = -1/5y +3

Step-by-step explanation:

add -y to both sides

5x + y + -y = 15 + -y

5x = -y + 15

step 2 divide both sides by 5

5x/5 = -y +15/5

x= -1/5 y +3

Answer

x= -1/5 y + 3

Dilations involve scaling the figure uniformly along a given center and factor. This process results in an enlarged or reduced version of the original figure, while maintaining the same proportions and shape.

A dilation is a type of geometric transformation that alters the size or shape of a figure while preserving its proportions. It involves scaling the figure uniformly in all directions from a specific center of dilation. The scaling factor determines whether the figure will be enlarged or reduced.

When dilating a figure, each point is moved along a line that passes through the center of dilation. The distance between the original point and the center is multiplied by the scaling factor to determine the new position of the point. If the scaling factor is greater than 1, the figure will be enlarged, while a scaling factor between 0 and 1 will result in a reduction.

The center of dilation can be any point on the plane, and it serves as the reference point from which the scaling occurs. If the center of dilation is outside the figure, the shape will change along with the size. However, if the center is inside the figure, only the size will be affected, and the shape will remain the same.

Learn more about geometric figure: brainly.com/question/31178455

#SPJ11

The Slope of 2 determines the steepness of the line, while the y-intercept of -3 determines its position on the y-axis.

The equation given is y = 2x - 3. This is a linear equation in slope-intercept form, which is written as y = mx + b, where m represents the slope of the line and b represents the y-intercept.

In the equation y = 2x - 3, the coefficient of x, which is 2, represents the slope of the line. This means that for every unit increase in x, the corresponding value of y will increase by 2 units. A positive slope indicates that the line is upward sloping.

The constant term, -3, represents the y-intercept, which is the point where the line intersects the y-axis. In this case, the y-intercept is -3, which means that the line crosses the y-axis at the point (0, -3). This point gives us the initial value of y when x is zero.

Using this equation, we can plot the line on a graph by identifying two or more points and connecting them. To find additional points, we can choose different values for x and substitute them into the equation to calculate the corresponding values of y.

For example, if we let x = 0, we can calculate the corresponding value of y:

y = 2(0) - 3

y = -3

So we have another point on the line, (0, -3). Now we can plot these two points, (0, -3) and (1, -1), and draw a straight line passing through them. This line represents the graph of the equation y = 2x - 3.

the equation is linear, meaning that the graph will be a straight line. The slope of 2 determines the steepness of the line, while the y-intercept of -3 determines its position on the y-axis.

To know more about Slope .

https://brainly.com/question/29044610

#SPJ8

Note the full question may be :

Solve the equation y = 2x - 3.

Part A: Find the x-intercept of the equation and explain its meaning in the context of the problem.

Part B: Find the y-intercept of the equation and explain its meaning in the context of the problem.

Part C: Plot the graph of the equation y = 2x - 3 on a coordinate plane. Identify any other points on the graph that are not the x-intercept or y-intercept.

Therefore, Assuming that approximately 20% of the lake's trout population was marked, we can estimate that the lake contains approximately 250 trout.

To find the probability L(N) that 16 trout are marked in a sample of 80, we need to use the hypergeometric distribution formula. The formula is P(X=k) = [C(M,k) * C(N-M,n-k)] / C(N,n), where M is the total number of trout in the lake, N is the number of trout in the sample (80), k is the number of marked trout in the sample (16), and n is the sample size (50). Plugging in the values, we get P(X=16) = [C(M,16) * C(M-50,34)] / C(M,80). We don't know the exact value of N, but we can estimate it using the fact that 16 out of 80 trout were marked, which means that approximately 20% of the lake's trout population was marked. Therefore, we can estimate that the lake contains approximately 250 trout (i.e., 50 / 0.2). Writing the main answer in 2 lines: The probability L(N) that 16 trout are marked in a sample of 80 can be estimated using the hypergeometric distribution formula.

Therefore, Assuming that approximately 20% of the lake's trout population was marked, we can estimate that the lake contains approximately 250 trout.

To know more about probability visit :

https://brainly.com/question/13604758

#SPJ11

Answer:

8288288285

Step-by-step explanation:

777=644644644

999= 644644644*999/777

=

Answer: 828

Step-by-step explanation:

Answer: C

Step-by-step explanation:

Slope is the number right in front of x, which in this case would be -2. So C is the answer.

Creating a table is hard, so I'll try my best. Just pretend the vertical line is connected.

x|y

0|5

1|3

2|1

3|-1

4|-3

The probability to obtain the sum of two rolled dice as a multiple of 6 or a multiple of 4 is 13/36.

When comparing the likelihood of an outcome to all other possible outcomes, we use a sort of ratio known as probability.

Given that a dice is rolled twice. Sum of the two rolls has following possibilities,

2,3,4,5,6,7,8,9,10,11,12

A multiple of 6 is obtained when the sum is either 6 or 12.

Sum of 6 is obtained when the two rolls are (1,5) , (2,4) , (3,3), (4,2) , (5,1)

Probability for each is 1/36. Therefore total probability to obtain sum of 6 is 5/36.

Sum of 12 is obtained only when the two rolls (6,6).

Probability to obtain sum of 12 is therefore 1/36.

Similarly for a sum of 4, the probability is 3/36.

For a sum of 8, the probability is 4/36.

Therefore the required probability is the sum of above calculated probabilities,

Required probability = 5/36 + 1/36 + 3/36 + 4/36 = 13/36

To learn more about probability visit the below link,

https://brainly.com/question/24756209

#SPJ4

The probability that at least one of the specialists will detect tuberculosis in this person is 0.9999 or 99.99%.

To calculate the probability that at least one of the specialists will detect tuberculosis in this person, we can use the concept of the complement rule.Let's denote the probability that a specialist will detect tuberculosis as p. The probability that a specialist will not detect tuberculosis is then (1 - p).Since each specialist examines the x-ray independently, the probability that none of the specialists will detect tuberculosis is (1 - p) raised to the power of the number of specialists.Let's assume there are four specialists. The probability that none of them will detect tuberculosis is (1 - p)⁴.

Therefore, the probability that at least one of the specialists will detect tuberculosis is 1 minus the probability that none of them will detect tuberculosis.

Probability(at least one specialist detects tuberculosis) = 1 - Probability(none of the specialists detect tuberculosis)

= 1 - (1 - p)⁴

Substituting the given information that each specialist can detect tuberculosis % of the time when it is present (which means p = %/100), we can calculate the probability.

Probability(at least one specialist detects tuberculosis) = 1 - (1 - p)⁴

= 1 - (1 - %/100)⁴

For example, if each specialist has a 90% detection rate (% = 90), the probability would be:

Probability(at least one specialist detects tuberculosis) = 1 - (1 - 90/100)⁴= 1 - (1 - 0.9)⁴

= 1 - (0.1)⁴

= 1 - 0.0001

= 0.9999

Therefore, the probability that at least one of the specialists will detect tuberculosis in this person is 0.9999 or 99.99%.

Learn more about probability here:

https://brainly.com/question/23417919

#SPJ11

F G cannot be simplified because it is not an equation, it is a phrase.

1. First, determine what F G is. In this case, F G is a phrase and not and equation.

2. Since F G is a phrase, it cannot be simplified.

Determining what F G is the first step to simplifying it. F G is a phrase and not an equation, so it cannot be simplified. Simplifying an equation or expression requires breaking it down into its individual parts and then combining like terms or rearranging the equation to make it simpler. However, F G is not an equation and therefore cannot be simplified.

F G cannot be simplified because it is not an equation, it is a phrase.

Learn more about equation here

https://brainly.com/question/29657992

#SPJ4

a) The probability that a car will require no repairs is 68%

b) The probability that a car will require no more than one repair is 91%

c) The probability that a car will require some repairs is 32%

To calculate the probabilities, we can use the complementary rule. Let's denote the events as follows:

A: No repairs

B: One repair

C: Two or more repairs

The probabilities given are:

P(A) = 19%

P(B) = 10%

P(C) = 3%

a) To find the probability of no repairs, we need to calculate P(A'). Since P(A) + P(A') = 100%, the probability of no repairs is 100% - 19% = 81%.

b) To find the probability of no more than one repair, we need to calculate P(A ∪ B). Since A and B are mutually exclusive events (a car cannot have both no repairs and one repair simultaneously), we can add their probabilities: P(A ∪ B) = P(A) + P(B) = 19% + 10% = 29%. However, we need to subtract the probability of two or more repairs: P(A ∪ B)' = 100% - P(C) = 100% - 3% = 97%. Therefore, the probability of no more than one repair is 97%.

c) To find the probability of some repairs, we need to calculate P(B ∪ C). Since B and C are mutually exclusive events, we can add their probabilities: P(B ∪ C) = P(B) + P(C) = 10% + 3% = 13%.

Note: The percentages used in the explanation are based on the provided information.

To learn more about probability, click here: brainly.com/question/12594357

#SPJ11

Therefore, the vector form of the given equation is y = 2(x - 2)² + 1.

To change the standard form of a quadratic equation, y = ax² + bx + c, to the vertex form, y = a(x - h)² + k, we need to complete the square. The vertex form provides a way to quickly identify the vertex, or the minimum or maximum point, of the parabola.

In the given example, we have the standard form y = 2x² - 8x + 9, and we want to convert it to the vertex form y = a(x - h)² + k.

First, we factor out the coeffi

y = 2x² - 8x + 9

 = 2(x² - 4x) + 9

 = 2(x² - 4x + 4 - 4) + 9  // Add and subtract (b/2a)^2

 = 2((x - 2)² - 4) + 9     // Factor and simplify

 = 2(x - 2)² + 1           // Distribute and simplify

To know more about vector,

https://brainly.com/question/30202103

#SPJ11

We can rewrite the equation of line l in slope-intercept form as y = ¾ x + 7/3, which means the slope of line l is 3/4.

Since perpendicular lines have slopes that are negative reciprocals of each other, the slope of the line we need to find is -4/3.

Substituting into point-slope form,

y + 5 = -4/3 (x - 3)

y + 5 = -4/3 x + 4

y = -4/3 x - 1

The equation of the line perpendicular to l and passing through A is:

4y + 3x + 11 =0.

A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. Sometimes, the aforementioned is referred to as a "linear equation of two variables," with y and x serving as the variables.

The given line has the equation 3y = 4x + 7. We can rearrange it into slope-intercept form, y = (4/3)x + 7/3 by dividing both sides by 3.

The slope of the given line is 4/3. Any line perpendicular to it will have a slope that is the negative reciprocal of 4/3, which is -3/4.

To find the equation of the line perpendicular to l and passing through point A (3, -5), we can use the point-slope form of the equation of a line:

y - y1 = m(x - x')

where (x', y') is the point (3, -5) and m is the slope -3/4.

Substituting in the values, we get:

y - (-5) = (-3/4)(x - 3)

Simplifying, we get:

y + 5 = (-3/4)x + (9/4)

Subtracting 5 from both sides, we get:

y = (-3/4)x - (11/4)

So the equation of the line perpendicular to l and passing through A is y = (-3/4)x - (11/4).

Learn more about Linear equations here:

https://brainly.com/question/11897796

#SPJ2

Answer:

The complete table is

d               t

1               3

3              9

5              15

Step-by-step explanation:

Here is the correct and complete question:

The total number of hours, t, that Trent has practiced his guitar after d days is modeled by the equation t = 3d.

Complete the table below.

d               t

1

3

               15

Step-by-step explanation:

For the first space, we are to determine the value of t when d is 1

From the given equation, t = 3d, put d = 1 and determine t

t = 3d

∴ t = 3(1) = 3×1

t = 3

For the second space , we are to determine the value of t when d is 3

Put d = 3 in the equation to determine t

t = 3d

∴ t= 3(3) = 3×3

t = 9

For the third space, we are to determine the value of d when t is 15.

Put t = 15 in the equation and then find d

t = 3d

∴ 15 = 3d

Divide both sides by 3

15/3 = 3d/3

5 = d

∴ d = 5  

If the resulting F-statistic is less than the critical value, we fail to reject the null hypothesis and conclude that there is not enough evidence to suggest that the variances are significantly different.

The F-test is a statistical test used to compare the variances of two groups.

In this problem, we will use it to compare the variance of the value added by the manufacturer and the variance of the cost of materials in manufacturing. The F-test is performed by dividing the larger variance by the smaller variance. The resulting F-statistic is then compared to the critical value of an F-distribution with degrees of freedom equal to the sample size minus one for each group.

Before we can perform the F-test, we need to determine which variable will be group 1. Typically, the variable with the smaller mean is designated as group 1. This is because we want to minimize the chance of making a type II error, which is failing to reject the null hypothesis when it is false. If we designated the variable with the larger mean as group 1, we might not detect a significant difference between the groups, even if one exists.

Once we have designated which variable will be group 1, we can perform the F-test. If the resulting F-statistic is greater than the critical value of the F-distribution, we reject the null hypothesis and conclude that the variances are significantly different.

To know more about level of significance here.

https://brainly.com/question/13947717

#SPJ4