Which inequality does the graph represent?

The Kruskal-Wallis test is a non-parametric test used to compare three or more independent groups to determine if there is a significant difference between the medians of the groups. The test statistic used in this test is denoted by the letter "H," which is calculated based on the ranks of the data.

True. The test statistic calculated in the Kruskal-Wallis test is denoted by the symbol H, not to be confused with the Shapiro-Wilk test statistic denoted by W. The Kruskal-Wallis test is a non-parametric test used to compare the median ranks of three or more independent groups. The test statistic H is calculated by comparing the between-group sum of squares to the total sum of squares. H follows a chi-squared distribution with degrees of freedom equal to the number of groups minus one. The p-value obtained from the chi-squared distribution is used to determine whether to reject or fail to reject the null hypothesis that there is no significant difference between the groups.

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Answer:

1. 24%

2. 30%

3. 30%

Step-by-step explanation:

1. 100%/25= 4%   4%*6=24%

2. 100%/50= 2% 2%*15=30%

3.  100%/40=2.5% 2.5%*12= 30%

Answer:

65.974 Square-miles

Step-by-step explanation:

We do 3.14*2^2=12.566

We then do 3.14*5^2=78.54

78.54-12.566=65.974

The change in the area of the circular oil spill is given by the equation

A = 65.973 miles²

A circle is a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called “center”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the center for every angle

The perimeter of circle = 2πr

The area of the circle = πr²

where r is the radius of the circle

The standard form of a circle is

( x - h )² + ( y - k )² = r²,

where r is the radius of the circle and (h,k) is the center of the circle

Given data ,

Let the change in area of circular oil spill be A

Now , the equation will be

The initial radius of the circular oil spill r = 2 miles

The increased radius of the circular oil spill R = r + 3

R = 5 miles

Now , the initial area of the circular oil spill = πr²

Substituting the values in the equation , we get

The initial area of the circular oil spill = 4π miles²

Now ,

The increased area of the circular oil spill = πR²

Substituting the values in the equation , we get

The increased area of the circular oil spill = 25π miles²

And , change in area of circular oil spill A = 25π miles² - 4π miles²

On simplifying the equation , we get

The change in area of circular oil spill A = 21π miles²

The change in area of circular oil spill A = 65.973 miles²

Therefore , the value of A is 65.973 miles²

Hence , the change in circular area is 65.973 miles²

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Answer: 15 - C. 16 - B.

Step-by-step explanation: Reverse PEMDAS

Answer:

1) C

2) B (if the answer is x/4=15)

Answer:

point g is the correct answer

Step-by-step explanation:

The midpoint of Line segment A B is Option B; Point G.

A line segment is a straight line with finite length, and thus, have to endpoints(points on either ends).

Midpoint, means the point which lies in the middle of something.

Midpoint of a line segment means a point which lies in the mid of the given line segment.

Given the graph at the right, the midpoint of A and B

AB = 14 units (by counting).

The midpoint is 7 units from either endpoints.

Thus, the midpoint of Line segment A B is Option B; Point G.

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Answer:

For example, a spacecraft leaving the surface of Earth needs to be going 7 miles per second, or nearly 25,000 miles per hour to leave without falling back to the surface or falling into orbit.

To solve for the probability of a temperature of 98.5 or lower, we need to find the z-score for 98.5 using the formula z = (x - mu) / sigma, where x is the temperature, mu is the mean, and sigma is the standard deviation.

z = (98.5 - 98.6) / 0.8 = -0.125

Using a standard normal distribution table or calculator, we can find the probability of z being less than or equal to -0.125, which is 0.4502. Therefore, the probability of a temperature of 98.5 or lower for a randomly selected healthy person is 0.4502.

No, a temperature of 98.5 is not an unlikely occurrence for a single individual, given that the distribution of human body temperatures is approximately normal with a mean of 98.6 and a standard deviation of 0.8. The probability of a temperature of 98.5 or lower is about 0.45, which means that there is a reasonable chance that a healthy person could have this temperature.

Thus, to solve for the probability of an average temperature of 3.5 or lower for 135 healthy people, we need to use the central limit theorem, which states that the distribution of sample means will be approximately normal with a mean of the population mean and a standard deviation of the population standard deviation divided by the square root of the sample size.

The standard error of the mean (SEM) is calculated as SEM = sigma/sqrt (n), where sigma is the population standard deviation and n is the sample size.

SEM = 0.8 / sqrt(135) = 0.068

The z-score for an average temperature of 3.5 is calculated as z = (3.5 - 98.6) / 0.068 = -1375.74

Using a standard normal distribution table or calculator, we can find the probability of z being less than or equal to -1375.74, which is essentially 0. Therefore, the probability of an average temperature of 3.5 or lower for 135 healthy people is almost 0.
To answer your questions, we will use the normal distribution properties of human body temperatures.

(1) To find the probability that the temperature for a randomly selected healthy person is 98.5 or lower, we need to calculate the z-score:

z = (X - μ) / σ
z = (98.5 - 98.6) / 0.8
z = -0.1 / 0.8
z = -0.125

Now, we can look up the probability in a standard normal distribution table or use a calculator to find the area to the left of z = -0.125. The probability is approximately 0.4505 (rounded to four decimal places).

(2) A temperature of 98.5 is not an unlikely occurrence for a single individual, given that the true average temperature of healthy people is 98.6. The probability of having a temperature of 98.5 or lower is 0.4505, which is not very small, so this is not an unlikely event.

(3) To find the probability that the average temperature for a sample of 135 healthy people is 98.5 or lower, we first need to find the standard error (SE) of the sample mean:

SE = σ / √n
SE = 0.8 / √135
SE ≈ 0.0688

Next, we calculate the z-score for the sample mean:

z = (X - μ) / SE
z = (98.5 - 98.6) / 0.0688
z ≈ -1.451

Now, we look up the probability in a standard normal distribution table or use a calculator to find the area to the left of z = -1.451. The probability is approximately 0.0735 (rounded to four decimal places).

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Answer:

option a as last digit even a d come in 3 table

A three-variable system is a system of equations or inequalities involving three variables.

The three variables could refer to any three related quantities, such as a person's age, height, and weight. In a three-variable system, the number of equations is equal to the number of variables, so three equations are needed to solve the system. Each equation in the system will involve all three variables and will be solved through a combination of algebraic manipulation, substitution, and elimination techniques. Once all three equations have been solved, the values of the variables can be found.

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Answer:

131,072 Zombies:

the equation: 32 x 4^6 = 131,072

the equation in scientific notation form: 3.2 x 4^7 = 131,072

Step-by-step explanation:

The amount of zombies starts at 32. It quadruples per hour, so we need to multiply the amount by 4 six times(once for every hour).

We can use an exponent to represent this in an equation:

32 x 4^6 = 131,072

Or, if we put it in scientific notation,

3.2 X 4^7 = 131,072.

The equation which represents the number of zombies is;

= \(1.31072\)×\(10^{5}\)

A mathematical statement known as an equation is made up of two expressions joined together by the equal sign.

Given that

The amount of zombies = 32.

And It quadruples per hour,

Therefore,

Multiply the amount by 4 six times (as it occurs once for every hour).

The the exponent form to represent this equation:

32 x 4^6 = 131,072

Hence, in scientific notation the equation is,

= \(1.31072\)×\(10^{5}\)

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Answer:

38.3 =x or x=141.8

Step-by-step explanation:

Using the law of sines

sin 27         sin x

----------- = ------------

11                   15

Using cross products

15 sin 27 = 11 sin x

15/11 sin 27 = sin x

Taking the inverse sin of each side

sin^-1 (15/11 sin 27 )= sin ^-1(sin x)

38.24883302 =  x

To the nearest tenth

38.2 =x

or

x=141.8

Answer:

38.2 degrees

Step-by-step explanation:

Use the law of sines

(sin 27)/11=(sinx)15

15sin(27)=11sin(x)

[15sin(27)]/11=sin(x)

x=arcsin[15sin(27)]/11

rounded to nearest tenth, x=38.2

Answer:Objective: Solve systems of equations with three variables using addition/elimination.

Solving systems of equations with 3 variables is very similar to how we solve systems with two variables. When we had two variables we reduced the system down

to one with only one variable (by substitution or addition). With three variables

we will reduce the system down to one with two variables (usually by addition),

which we can then solve by either addition or substitution.

To reduce from three variables down to two it is very important to keep the work

organized. We will use addition with two equations to eliminate one variable.

This new equation we will call (A). Then we will use a different pair of equations

and use addition to eliminate the same variable. This second new equation we

will call (B). Once we have done this we will have two equations (A) and (B)

with the same two variables that we can solve u

Step-by-step explanation:

sorry my answer was wrong

Answer:

34.7647058824

Step-by-step explanation:

The missing lengths of triangles are 5in, 5mi, 13.9km,13.3mi respectively.

What is triangle?

A triangle is a closed, two-dimensional geometric figure with three straight sides and three angles.

What is Pythagorean theorem?

The Pythagorean Theorem is a fundamental theorem in Euclidean geometry that relates to the three sides of a right-angled triangle.

Using the Pythagorean theorem \((a^2 + b^2 = c^2)\), we can solve for the missing side in each triangle.

Triangle 1:

\(a = 12 in\\\\c = 13 in\\\\a^2 + b^2 = c^2\\\\12^2 + b^2 = 13^2\\\\144 + b^2 = 169\\\\b^2 = 25\\\\b = \sqrt{(25)}\\\\b = 5 in\)

Therefore, the length of the missing side in Triangle 1 is 5 in.

Triangle 2:

\(a = 4 mi\\\\b = 3 mi\\\\c = x\\\\a^2 + b^2 = c^2\\\\4^2 + 3^2 = x^2\\\\16 + 9 = x^2\\\\25 = x^2\\\\x = \sqrt{(25)}\\\\x = 5 mi\)

Therefore, the length of the hypotenuse in Triangle 2 is 5 mi.

Triangle 3:

\(a = x\\\\b = 11.9 km\\\\c = 14.7 km\\\\a^2 + b^2 = c^2\\\\x^2 + 11.9^2 = 14.7^2\\\\x^2 = 14.7^2 - 11.9^2\\\\x^2 = 192.36\\\\x = \sqrt{(192.36)}\\\\x = 13.9 km\)

Therefore, the length of the height in Triangle 3 is 13.9 km.

Triangle 4:

\(a = x\\\\b = 6.3 mi\\\\c = 15.4 mi\\\\a^2 + b^2 = c^2\\\\x^2 + 6.3^2 = 15.4^2\\\\x^2 = 15.4^2 - 6.3^2\\\\x^2 = 178.09\\\\x = \sqrt{(178.09)}\\\\x = 13.3 mi\)

Therefore, the length of the height in Triangle 4 is 13.3 mi.

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Answer:

The answer in point form is (-1,0)

The equation in Standard Form. b) Identify P(x). c) Identify Q(x). d) Evaluate Integrating Factor. e) Solve for the general solution are given below:

a) Rewrite the equation in Standard Form:

To rewrite the equation in standard form, divide the entire equation by x⁴:

dy/dx + 2y = e^(-x)

b) Identify P(x):

In standard form, the coefficient of the y term is 2, which is the function P(x). So, P(x) = 2.

c) Identify Q(x):

In standard form, the right-hand side of the equation is e^(-x), which is the function Q(x). So, Q(x) = e^(-x).

d) Evaluate the Integrating Factor:

The integrating factor (IF) is given by the exponential of the integral of P(x) with respect to x. In this case, the integrating factor is:

IF = e^(∫P(x)dx) = e^(∫2dx) = e^(2x)

e) Solve for the general solution:

Multiply the entire equation by the integrating factor (IF = e^(2x)):

e^(2x) * (dy/dx + 2y) = e^(2x) * e^(-x)

Simplify the left side by applying the product rule of exponents:

(e^(2x) * dy/dx) + 2y * e^(2x) = e^(x)

Notice that the left side is now in the form (f(x)g(x))' = f'(x)g(x) + f(x)g'(x), where f(x) = y and g(x) = e^(2x). Apply the product rule and simplify further:

(d/dx)(y * e^(2x)) = e^(x)

Integrate both sides with respect to x:

∫(d/dx)(y * e^(2x)) dx = ∫e^(x) dx

Integrating the left side gives:

y * e^(2x) = ∫e^(x) dx = e^(x) + C₁, where C₁ is the constant of integration.

Finally, solve for y by dividing both sides by e^(2x):

y = (e^(x) + C₁) / e^(2x)

This is the general solution to the given differential equation using the Integrating Factor Method.

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Answer:

d

Step-by-step explanation:

x4+28+584+-4847-+6384

did it for me either ir you excited for the good of a great day I just want it to be a cube has

Answer:

things that can be naturally replaced in a short period of time

Answer:

sine A = four-fifths

Step-by-step explanation:

You have a rectangle triangle ABC with hypotenuse AB 35, side CB 28 and side CA 21. The angle C is 90°.

tanA =5\12

As

tanA = opposite\adjacent

= BC\AC

= 5\12

What is trigonometry?

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Let's see what to do buddy...

_________________________________

\(x - 9y = 17\)

Subtract the sides of the equation minus x

\( - 9y = 17 - x\)

Divided the sides of the equation by -9

\( \frac{ - 9}{ - 9}y = \frac{17 - x}{ - 9} \\ \\ \)

\(y = \frac{ - (17 - x)}{9} \\ \)

\(y = \frac{x - 17}{9} \\ \)

_________________________________

And we're done.

Thanks for watching buddy good luck.

♥️♥️♥️♥️♥️

Answer:

Step-by-step explanation:

Since λa + ub is parallel to ha + tb, we can write:

λa + ub = k(ha + tb)

where k is some constant. We can simplify this equation by expanding both sides:

λa + ub = kha + ktb

Rearranging the terms, we get:

λa - kha = ktb - ub

Factoring out a, we get:

a(λ - kh) = b(kt - u)

Since a and b are non-parallel, they are linearly independent, which means that a and b are not multiples of each other. This also means that the only way for the left side of the equation to be equal to 0 is if λ - kh = 0, or λ = kh. Similarly, the only way for the right side of the equation to be equal to 0 is if kt - u = 0, or u/t = k/h.

Therefore, we have shown that λ/h = u/t.

Answer: 9/4

Step-by-step explanation:

12/(12+15) = 12/27 = 9/4

The equation of circle is (x - 9.2)^2 + (y + 7.4)^2 = 25/9.

To write the equation of a circle, we need the coordinates of the center and the length of the radius.

Given that the circle has a radius of 5/3 units and is centered at (9.2, -7.4), we can use these values to write the equation.

The equation of a circle with center (h, k) and radius r is:
(x - h)^2 + (y - k)^2 = r^2

In this case, the center is (9.2, -7.4) and the radius is 5/3 units. Plugging these values into the equation, we have:

(x - 9.2)^2 + (y - (-7.4))^2 = (5/3)^2

Simplifying further, we get:

(x - 9.2)^2 + (y + 7.4)^2 = 25/9

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True coordinates of the vertices of triangle 1 are A(6,6),B(12,9),C(9,6).rotate triangle 1,90 degrees counterclockwise

we have that

the rule of rotate triangle 90 degrees counterclockwise is equal to

(x,y) -------> (-y,x)

so

A(6,6) -------> A'(-6,6)

B(12,9) ----> B'(-9,12)

C(9,6) -----> C'(-6,9)

see the attached figure to better understand the problem

(give me a minute to draw the figure)

Problem N 2

we have

it is translating tree units to the right and 5 units down

the rule is

(x,y) ------> (x+3,y-5)

so

A(6,6) ------->A'(6+3,6-5)

A'(9,1)

B(12,9) ---->B'(12+3,9-5)

B'(15,4)

C(9,6) ----->C'(9+3,6-5)

C'(12,1)

We know that the m<RTV = 65°.

If we know that the m<UTV = 29°, we can simply

subtract the m<UTV from the m<RTV to get the answer.

So we have 65 - 29 or 36°.

The interpretation of -600 is (a) the slope of the function and the change in distance remaining, in meters per minute, of riding the bus

From the question, we have the following parameters that can be used in our computation:

f(t) = -600t + 12000

A linear equation is represented as

y = mx + c

Where

Slope = m

When the equations are compared, we have

m = -600

This means that

Slope = -600

So, the interpretation of -600 is the slope

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Answer: 1 tablespoon

Step-by-step explanation:

The variance of the sample mean is 12/35 = 0.3429.. This is a result of uniform distribution.

The uniform distribution is a continuous probability distribution and is concerned with events that are equally likely to occur. When working out problems that have a uniform distribution, be careful to note if the data is inclusive or exclusive.

According to the question, we have

Sample size (n) = 36; uniform continuous distribution has a maximum of 14 and a minimum of 2.

The notation for the uniform distribution is

X U(a,b), where  a=  the lowest value of x  and  b=  the highest value of x. The probability density function is f(x) = 1/(ba ) fo axb .

b = 14 and a = 2.

Variance in uniform distribution = (b-a)² / 12.

Put the value of a and b, 

Variance = ( 14-2)²/12 = 12

Sample variance is used to calculate the variability of sample sets.

The variance of the sample means = variance / (sample size- 1) 9= (b-a)²/ (n-1)

= 12/35= 0.342

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