please help me solve this problem?

The length of another diagonal length is 39 inches.

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

It is a polygon that has four sides and four corners. The sum of the internal angle is 360 degrees. In Kite, the pair of adjacent sides are equal. And its diagonals intersect at a right angle.

Given

A kite with diagonals is shown. It has side lengths of 41, 41, 50, and 50.

One diagonal length is 80 inches.

The length of another diagonal length.

We know that its diagonals intersect at a right angle.

Then according to Pythagoras theorem

For ΔAED

H² = P² + B²

41² = P² + 40²

P = 9

Similarly,

For ΔCED

H² = P² + B²

50² = P² + 40²

P = 30

The length of another diagonal length will be

30 + 9 = 39

Thus, the length of another diagonal length is 39 inches.

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Answer:

39 units

Step-by-step explanation:

edge2022

The mean for the population of scores shown in the frequency distribution table x f 5 1 4 2 3 3 2 4 1 2 is 2.67. This means that the population's average score is 2.67.

The formula for calculating the mean (sometimes known as the average) of a population of scores is:

(sum of all scores) / mean (total number of scores)

We must first obtain the total of all scores in order to compute the mean of the population of scores indicated in the frequency distribution table. To do this, we multiply each score by its frequency (f) and then sum the results. For example, the product of 5 and 1 (the frequency) for the score 5 is 5. The product of 4 and 2 (the frequency) with the score 4 is 8. We repeat this process for all scores, then add up all the products to get the total score.

The sum of all scores is then divided by the entire number of scores, yielding the sum of all frequencies.

The mean is determined using the data from the frequency distribution table as follows:

(5 * 1 + 4 * 2 + 3 * 3 + 2 * 4 + 1 * 2) / (1 + 2 + 3 + 4 + 2) = (5 + 8 + 9 + 8 + 2) / 12 = 32 / 12 = 2.67

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Answer:

6.35

Step-by-step explanation:

The value of z is 1.16, because the area between -1.16 and 1.16 under the standard normal curve is 0.754.

Answer: a. 1.16

If the area between -z and z is 0.754, this means that the area to the left of -z is \((1-0.754)/2 = 0.123\), and the area to the right of z is also 0.123.

Since the standard normal distribution is symmetric around the mean of 0, we can use a standard normal distribution table or calculator to find the z-score corresponding to an area of 0.123 to the left of the mean.

Looking up the area 0.123 in a standard normal distribution table, we find that the corresponding z-score is approximately -1.16.

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It would not make sense to approximate 256 using the binomial theorem for the binomial (20 5)6 because 5  is outside of the range of -1 and 1, it will not go close to 0 when multiplied by a positive integer exponent.

According to the binomial theorem, the nth power of the sum of two positive integers a and b can be written as the sum of the components in the form n + 1. Triangle of Yang Hui Al-Karaj, Bernhard Bolzano are significant figures. Algebraic subjects are related. The binomial triangle coefficient of Pascal.

The Binomial Theorem with a power of 6 is expressed as follows:

\((x+y)^{6}=x^{6}+6 x^{5} y+15 x^{4} y^{2}+20 x^{3} y^{3}+15 x^{2} y^{4}+6 x y^{5}+y^{6}\)

Thus, if we substitute 20 for x and 5 for y, our first term will be 20^6 = 64000000, which is significantly larger than 256, and it will be pointless to utilize the binomial theorem to(20 +5 )^6 approximate 256 in this case.

Furthermore, since that has no power and the Binomial Theorem utilizes power, using (20 +5 )^6 it makes no sense.

(20 +5 )^6 = 150 ≠ 256

Since 5 is outside of the range of -1 and 1, it will not go close to 0 when multiplied by a positive integer exponent.

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The correct statements are:

b. The population variances for each of the cells should be equal (i.e., there is homogeneity of variance).

c. The populations from which the samples are taken for a two-way ANOVA must be distributed normally.

In a two-way ANOVA, there are several assumptions that need to be met for valid statistical inference. Two of these assumptions are the equality of population variances and the normal distribution of populations.

b. The assumption of homogeneity of variance states that the population variances for each combination of levels of the two factors in a two-way ANOVA should be equal. Violation of this assumption can lead to biased results and affect the validity of the statistical test.

c. The assumption of normality states that the populations from which the samples are taken should follow a normal distribution. This assumption is important because the validity of the F-test used in ANOVA is based on the assumption of normality. Departures from normality can impact the accuracy and reliability of the results.

a. The statement in option (a) is not true. The two-way ANOVA is not robust to violations of the assumptions of sampling from normal distributions and homogeneity of variance, even if the samples are of equal size. Violations of these assumptions can lead to inaccurate and unreliable results.

d. The statement in option (d) is also not true. If the assumptions of a two-way ANOVA are violated, it does not necessarily mean that the researcher should conduct two separate one-way ANOVAs. There are alternative non-parametric tests or robust ANOVA methods that can be used in such cases. The choice of appropriate statistical analysis depends on the nature of the data and the specific research question.

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Answer:

See: https://brainly.in/question/12682555

Step-by-step explanation:

The link provided will take you to a differently worded explanation from another user.

You may see the "slant" referred to as a "hypoteneuse", as the shape created by the line of height(or altitude) is a right triangle. Given the base of the triangle and the "slant" or "hypoteneuse", format the equation (a²+b²=c²)-where a represents the height(altitude), b represents the base, and c represents the slant(hypoteneuse)- to fit your needs:

c²-b²=a². From this point, find the square root(√) of a. If it cannot be simplified further, then (√a) is your solution.

The surface area οf the sphere is apprοximately 82,203.84 square yards.

Let's start by using the fοrmula fοr the circumference οf a circle C = 2πr

where C is the circumference, π is the cοnstant pi (which is apprοximately equal tο 3.14), and r is the radius οf the circle. We knοw that the circumference οf the widest circle οf the sphere is 508.68 yards, sο we can set up an equatiοn as fοllοws:

508.68 = 2πr

Sοlving fοr r, we get:

r = 508.68 / (2π)

r = 80.99 yards (rοunded tο twο decimal places)

Nοw that we knοw the radius οf the sphere, we can use the fοrmula fοr the surface area οf a sphere:

A = 4πr²

Plugging in the value οf r, we get:

A = 4π(80.99)²

An ≈ 82,203.84 square yards

Therefοre, the surface area οf the sphere is apprοximately 82,203.84 square yards.

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Answer:

E

Step-by-step explanation:

Have a good day :)

The quadratic equation with zeros at -6 and 2 is y² + 4y - 12 = 0. This is in standard form, which is ax² + bx + c = 0, with a = 1, b = 4, and c = -12.

To find the quadratic equation with zeros at -6 and 2, we can start by using the fact that if a quadratic equation has roots x₁ and x₂, then it can be written in the form

(y - x₁)(y - x₂) = 0

where y is the variable in the quadratic equation.

Substituting the given values of the zeros, we get

(y - (-6))(y - 2) = 0

Simplifying this expression, we get

(y + 6)(y - 2) = 0

Expanding this expression, we get

y² - 2y + 6y - 12 = 0

Simplifying this expression further, we get

y² + 4y - 12 = 0

So the quadratic equation with zeros at -6 and 2 is

y² + 4y - 12 = 0

This is the standard form of a quadratic equation, which is

ax² + bx + c = 0

where a, b, and c are constants. In this case, a = 1, b = 4, and c = -12.

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In order to sort the given numbers [11, 20, 30, 22, 60, 6, 10, 31] using the Merge sort algorithm, we can divide the list into smaller sublists, recursively sort them, and then merge them back together in a sorted order.

Here's an example implementation of the Merge sort algorithm in Python:

def merge_sort(arr):

   if len(arr) <= 1:

       return arr

   mid = len(arr) // 2

   left = arr[:mid]

   right = arr[mid:]

   left = merge_sort(left)

   right = merge_sort(right)

   return merge(left, right)

def merge(left, right):

   result = []

   i = j = 0

   while i < len(left) and j < len(right):

       if left[i] <= right[j]:

           result.append(left[i])

           i += 1

       else:

           result.append(right[j])

           j += 1

   result.extend(left[i:])

   result.extend(right[j:])

   return result

numbers = [11, 20, 30, 22, 60, 6, 10, 31]

sorted_numbers = merge_sort(numbers)

print(sorted_numbers)

In this code, the merge_sort function implements the Merge sort algorithm. It recursively divides the input list into smaller sublists until each sublist contains only one element. Then, it merges these sorted sublists together using the merge function. The merge function compares the elements of the left and right sublists, merges them into a new sorted list, and returns it. Running the code will output the sorted numbers: [6, 10, 11, 20, 22, 30, 31, 60]. This demonstrates the application of the Merge sort algorithm to sort the given numbers in ascending order.

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X-6y<-12 in slope intercept form is y > 1/6X + 2

Answer:

396

Step-by-step explanation:

22 x 18 = 396

Final answer 396.

Answer:

C) y=-1

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-1-(-1))/(0-4)

m=(-1+1)/-4

m=0/-4

m=0

y-y1=m(x-x1)

y-(-1)=0(x-4)

y+1=0

y=0-1

y=-1

Answer:

the answer = um ok

Step-by-step explanation:

The numerical length of PQ is 20

A line segment in geometry is a section of a line that has two clearly defined endpoints and contains every point on the line that lies within its confines.

Given that the line segments are: -

OQ=11  O P = 9

The numerical value of PQ will be calculated as below.

OP+OQ=PQ

11+9=PQ=11+9=PQ

Therefore PQ=20=PQ

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Answer:

This is a function and there is no value of x for which we will get two or more different values of y.

Step-by-step explanation:

Now, this is a function and there is no value of x for which we will get two or more different values of y

The equation is y = 2x

bye

The height of the plane is modeled by the linear equation:

height = 3000ft - 2000ft*t

If the rate at which the plane descends is constant, then the height is modeled by a linear equation.

We can write:

height = initial height - rate*time

We know that the initial height is 3000ft, and that the plane descends at ar ate of 2,000ft per minute, then we can write the linear equation:

height = 3000ft - 2000ft*t

Where t is the time in minutes.

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Complete question:

"an airplane 3,000 ft above the ground begin descending at a rate of 2,000 ft per minute​, which will be the height of the plane after t minutes?"

Answer:

\(\dfrac{1}{729}\)

Step-by-step explanation:

\(\left(\dfrac{}{}(-3)^2\dfrac{}{}\right)^{-3}\)

First, we should evaluate inside the large parentheses:

\((-3)^2 = (-3)\cdot (-3) = 9\)

We know that a number to a positive exponent is equal to the base number multiplied by itself as many times as the exponent. For example,

\(4^3 = 4 \, \cdot\, 4\, \cdot \,4\)

       ↑1 ↑2 ↑3 times because the exponent is 3

Next, we can put the value 9 into where \((-3)^2\) was originally:

\((9)^{-3}\)

We know that a number to a negative power is equal to 1 divided by that number to the absolute value of that negative power. For example,

\(3^{-2} = \dfrac{1}{3^2} = \dfrac{1}{3\cdot 3} = \dfrac{1}{9}\)

Finally, we can apply this principle to the \(9^{-3}\):

\(9^{-3} = \dfrac{1}{9^3} = \boxed{\dfrac{1}{729}}\)

A long division polynomials calculator is an online tool used to perform polynomial long division for dividing polynomials.

A long division polynomials number cruncher is an internet based device that performs polynomial long division, a strategy used to separate one polynomial by another. This cycle is like long division with numbers, yet rather than partitioning by single-digit numbers, it includes separating by a polynomial of at least one terms. The interaction includes partitioning the most extensive level term of the profit by the most extensive level term of the divisor, then increasing the divisor by the remainder and taking away the outcome from the profit. The subsequent articulation is the rest of the division. The interaction is then continued involving the rest of the new profit, until the level of the rest of not exactly the level of the divisor. An internet based long division polynomials mini-computer robotizes this interaction, permitting clients to enter the profit and divisor polynomials and get the remainder and remaining portion. This can be helpful for understudies and experts in fields like math, physical science, and designing, who need to partition polynomials for computations and critical thinking.

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One possible half-angle identity that can be used to solve this problem is: tan (θ/2) = sin θ / (1 + cos θ)

We can apply this identity by letting θ = 5π/6, since 5π/12 is half of that angle. Therefore:
tan (5π/12) = tan [(1/2) * (5π/6)]
Using the half-angle identity, we have:
tan (5π/12) = sin (5π/6) / [1 + cos (5π/6)]
Now we need to find the values of sin (5π/6) and cos (5π/6). To do that, we can use the fact that sin (π - x) = sin x and cos (π - x) = -cos x. Therefore:
sin (5π/6) = sin [π - (π/6)] = sin (π/6) = 1/2
cos (5π/6) = -cos (π/6) = -(√3/2)
Substituting these values back into the half-angle identity, we get:
tan (5π/12) = (1/2) / [1 - (√3/2)]
To simplify this expression, we can use the difference of squares formula:
a² - b² = (a + b)(a - b)
By letting a = 1 and b = (√3/2), we get:
1 - (√3/2)² = 1 - 3/4 = 1/4
Therefore:
tan (5π/12) = (1/2) / [1 - (√3/2)] = (1/2) * (1 / [1 - (√3/2)]) * [(1 + (√3/2)) / (1 + (√3/2))] = (1 + √3) / (2 - √3)
This is the exact value of tan (5π/12) in simplified form.

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Answer:

n = 2

Step-by-step explanation:

The intersecting chord theorem describes the relation between line segments in a circle formed by intersecting chords.

The product of line segments in a chord is equal to the product of line segments in the other chord if intersecting in a circle.

This means that:

(n + 16)(4) = (n + 6)(9)

4n + 64 = 9n + 54

–4n –4n

64 = 5n + 54

–54 –54

10 = 5n

5n = 10

÷5 ÷5

n = 2

________________

4n + 64 = 9n + 54

4(2) + 64 = 9(2) + 54

8 + 64 = 18 + 54

72 = 72 ✓

Answer:

y = a - k

Step-by-step explanation:

k = a - y

=> k + y = a

=> y = a - k

Answer:

x=5

Step-by-step explanation:

4x-16=-3(2x+8)-6x

4x-16= -6x-24-6x

4x-16= -12x-24

put the x on one side

-8x-16=-24

-8x=-40

x=5

Answer:

x = -1/2

Step-by-step explanation:

Given equation,

→ 4x - 16 = -3(2x + 8) - 6x

Now the value of x will be,

→ 4x - 16 = -3(2x + 8) - 6x

→ 4x - 16 = -6x - 24 - 6x

→ 4x - 16 = -24 - 12x

→ 4x + 12x = -24 + 16

→ 16x = -8

→ x = -8/16

→ [ x = -1/2 ]

Hence, value of x is -1/2.

The initial velocity of the ball is approximately 145.2 m/s.To determine the initial velocity of a ball thrown upward at an angle of 60° to the ground, which lands 120 m away, use the following steps

The given values are:θ = 60°s = 120 mWe know that the horizontal velocity (vx) is given as:vx = s / t Since the ball lands at the same height it was thrown from, the time of flight of the ball is given as:t = 2u sin θ / g (time of flight equation)where g = 9.8 m/s² (acceleration due to gravity)

The vertical velocity (vy) can be determined using the following formula: v = u sin θ - gt (velocity equation)

Finally, the initial velocity of the ball (u) can be determined using the Pythagorean theorem, which states that the hypotenuse of a right triangle (in this case, the initial velocity) is given by the square root of the sum of the squares of the other two sides (in this case, vx and vy).

This can be expressed as:u = sqrt(vx² + vy²)

Therefore, we have:vx = s / t = s / [2u sin θ / g]= g * s / [2u sin θ]vy = u sin θ - gt = u sin θ - g(2u sin θ / g)= u sin θ - 2u sin θ= - u sin θu = sqrt(vx² + vy²) = sqrt[(g * s / 2u sin θ)² + (- u sin θ)²]= sqrt[g²s² / (4u² sin²θ) + u² sin²θ]

Multiplying through by 4u² sin²θ gives: 4u⁴ sin⁴θ + 4u² g² s² sin²θ = 16u⁴ sin⁴θ

Substituting w = u² and solving for w:w² - 4g² s² sin²θ w = 0w = 4g² s² sin²θ (since w cannot be negative)

Therefore, we have:w = u² = 4g² s² sin²θu = sqrt(4g² s² sin²θ)= 2g s sin θ= 2(9.8 m/s²)(120 m) sin 60°≈ 145.2 m/s

Therefore, the initial velocity of the ball is approximately 145.2 m/s.  

The initial velocity of the ball is approximately 145.2 m/s.

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The coefficient of variation of the brain natriuretic peptides in this study population is 34.91%.

The coefficient of variation (CV) is a statistical measure that expresses the relative variability of a dataset. It is calculated by dividing the standard deviation of the dataset by its mean and multiplying by 100 to express it as a percentage. In this case, we have the average levels of 45 brain natriuretic peptide (BNP) blood tests as 175 pg/ml and their variance as 144 pg/ml.

To find the CV, we first need to calculate the standard deviation. Since the variance is given, we can take the square root of the variance to obtain the standard deviation. In this case, the square root of 144 pg/ml is 12 pg/ml.

Next, we divide the standard deviation (12 pg/ml) by the mean (175 pg/ml) and multiply by 100 to express the result as a percentage. Therefore, the coefficient of variation for the brain natriuretic peptides in this study population is (12/175) * 100 = 6.857 * 100 = 34.91%.

The coefficient of variation provides an understanding of the relative variability of the BNP levels in the study population. A higher CV indicates greater variability, while a lower CV suggests more consistency in the BNP levels. In this case, a coefficient of variation of 34.91% suggests a moderate level of variability in the brain natriuretic peptide levels among the study participants.

It is worth noting that the coefficient of variation is a useful measure when comparing datasets with different means or units of measurement, as it provides a standardized way to assess the relative variability.

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Answer:

10 units

Step-by-step explanation:

the longest length is from (11, 1) to (3, 7) and can be clearly shown when graphed

now to find the length you must use the pythagorean theorem

the distance between 11 and 3 is 8 and the distance between 1 and 7 is 6 so

8^2 + 6^2 = c^2

64 + 36 = c^2

100 = c^2

c = 10

that is your answer

Answer:

1/2

Step-by-step explanation:

13 total fish

remove one fish

12 total fish

6 total clown fish

6/12 simplified is 1/2

To find the volume of the given solid using polar coordinates, we integrate the function over the appropriate range of values for the radial coordinate and the angle.

The given solid consists of a cone and a ring in the xy-plane. The cone is defined by the equation z = √(x² + y²), which represents a right circular cone with its vertex at the origin and opening upwards. The ring is defined by the inequality 1 ≤ x² + y² ≤ 64, which represents a circular region centered at the origin with an inner radius of 1 unit and an outer radius of 8 units.

To evaluate the volume using polar coordinates, we can express the equations in terms of the radial coordinate (r) and the angle (θ). In polar coordinates, the cone equation becomes z = r, and the ring equation becomes 1 ≤ r² ≤ 64. To set up the integral, we need to determine the range of values for r and θ. For the radial coordinate, r ranges from 1 to 8, as that corresponds to the region defined by the ring. For the angle θ, we can integrate from 0 to 2π, covering a full revolution around the origin.

The volume integral is then given by V = ∫∫∫ r dz dr dθ over the region defined by 1 ≤ r² ≤ 64 and 0 ≤ θ ≤ 2π. By evaluating this triple integral, we can find the volume of the solid.

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