What is the median in this set of data?
14, 19, 26, 28, 18, 21, 30, 27

The function f possesses the characteristics of injectivity, strict increase, and surjectivity. It lacks the characteristics of rigorously increasing, decreasing, or decreasing.

Because it is one-to-one, or that there is only one matching y-value for each given x, the function f(x) = sinx is injective. Because the associated y-values rise monotonically for any two x-values, it is also strictly increasing. Additionally, it is surjective because the full [-1, 1] range of the function is covered by its range. Since its values don't always fall or rise linearly, it lacks the characteristics of rigorously decreasing, decreasing, or increasing.

The function f:[4, 4][1, 1];f(x)=sinx has a number of significant characteristics. It is one-to-one since it is injective. This implies that there is only one matching y-value for every possible value of x. Additionally, it is strictly growing, which means that the related y-values rise monotonically for any two x-values. This indicates that the function is not always linear in its increase or decrease. The function is also surjective because its range includes the entire [-1, 1] range of the function. This indicates that the function can produce any value between -1 and 1.

Since the values of the function do not necessarily drop or rise linearly, it does not possess the characteristics of strictly decreasing, decreasing, or increasing. This distinguishes the function from others and enables a wide range of applications.

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The angle of elevation of the point T on the top of the pole from the point A on the level ground, obtained using Pythagorean Theorem and the relationship between similar triangles is about 39.3°.

Similar triangles are triangles that have the same shape (the sizes may be different) and in which the ratio of the corresponding sides are equivalent.

The triangles ΔXBA, ΔXAC, and ΔABC are right triangles, such that the angles, ∠ABX in triangle ΔXBA is congruent to triangle ∠CAX in triangle ΔXAC, and ∠ABC in ΔABC.

The 90° angle in the right triangles are congruent (All 90° angle are congruent), therefore;

ΔXBA ~ ΔXAC ~ ΔABC by AA (Angle-Angle), similarity postulate

The length of the hypotenuse in the right triangle, ΔABC, \(\overline{BC}\), can be obtained using Pythagorean Theorem as follows;

\(\overline{BC}\)² = 14² + 25² = 821

\(\overline{BC}\) = √(821)

\(\overline{BC}\)/\(\overline{AC}\) = \(\overline{AB}\)/\(\overline{AX}\)

√(821)/25 = 14/\(\overline{AX}\)

\(\overline{AX}\) = 25 × (14/(√(821)) = 350/(√(821))

Let θ represent the angle of T from A, we get;

tan(θ) = 10/(350/(√(821)))

θ = arctan(10/(350/(√(821)))) ≈ 39.3°

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Answer:30

Step-by-step explanation: jus subtract total number by 45 to c what u missin

Given: \(\textsf{45 + x = 75}\)

Need:  \(\textsf{The value of the unknown x}\)

Solution:  In order to solve for the unknown we must subtract 45 from both sides which would isolate x and given us the value.

Subtract 45 from both sides

After simplifying the expression we were able to determine that x is equal to 30.

The area of the regular polygons with 12 sides(dodecagon) and 5 sides (pentagon) are 389.06 in² and 19.87 in² respectively.

Area of regular polygon = 1/2 × apothem × perimeter

perimeter = (s)side length of octagon × (n)number of side.

apothem = s/[2tan(180/n)].

11 = s/[2tan(180/12)]

s = 11 × 2tan15

s = 5.8949

perimeter = 5.8949 × 12 = 70.7388

Area of dodecagon = 1/2 × 11 × 70.7388

Area of dodecagon = 389.0634 in²

Area of pentagon = 1/2 × 5.23 × 7.6

Area of pentagon = 19.874 in²

Therefore, the area of the regular polygons with 12 sides(dodecagon) and 5 sides (pentagon) are 389.06 in² and 19.87 in² respectively.

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To find a value of theta in the interval [0, 90] that satisfies sin(theta) = 0.87185 using a TI-30X calculator, you can use the inverse sine function, which is denoted as sin⁻¹.

Follow these steps:

For example, if you follow these steps on the TI-30X calculator, you should get the result:

So, one possible value of theta in the interval [0, 90] that satisfies sin(theta) = 0.87185 is 60 degrees.

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The quadrilateral that has diagonals that are always perpendicular bisectors of each other is the square , the correct option is (a) .

In a square, the diagonals are equal in length and bisect each other at a right angle.

The diagonals divide the square into four congruent right triangles. Each diagonal passes through the midpoint of two sides, thus dividing them into equal segments. So , diagonals are perpendicular bisectors of each other.

In other quadrilaterals, such as rectangles and rhombuses, the diagonals are perpendicular, but they do not necessarily bisect each other.

In a trapezoid, the diagonals do not intersect at all, unless the trapezoid is isosceles.

In a parallelogram, the diagonals bisect each other, but they are not necessarily perpendicular.

Therefore , the correct answer is (a) Square .

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The given question is incomplete , the complete question is

Which quadrilateral has diagonals that are always perpendicular bisectors of each other?

(a) Square

(b) Rectangle

(c) Trapezoid

(d) Parallelogram

Answer:

c is answer plz see the pic it's the solution

The equation of the parabola with focus (2,5) and directrix x=18 is (x - 18)² + (y - 5)² = (y - (5 + (18 - 2) / 2))².

A parabola is a conic section, the intersection of a right circular conical surface and a plane parallel to a generating

straight line of that surface.

The focus of a parabola is a fixed point on the interior of a parabola used in the formal definition of the curve.

The directrix is a straight line perpendicular to the axis of symmetry and placed symmetrically with respect to the focus.

The axis of symmetry is the line through the focus and perpendicular to the directrix.

The vertex of a parabola is the point where its axis of symmetry intersects the curve. It is the point where the parabola changes direction or "opens

up" or "opens down.

The directrix is a fixed straight line used in the definition of a

parabola. It is placed such that it is perpendicular to the axis of symmetry and at a distance from the vertex equal to the

distance between the vertex and focus. It is the line that is equidistant to the focus and every point on the curve.Here's

the solution to the given problem:

The distance between the directrix and the focus is equal to p = 16 (since the directrix is x = 18, the parabola opens to the left, so the distance is measured horizontally)

The vertex is (h,k) = ((18+2)/2,5) = (10,5)

Then we can use the following formula: (x - h)² = 4p(y - k)

Substitute the vertex and the value of p. (x - 10)² = 64(y - 5)

Expand and simplify. (x - 10)² + (y - 5)² = 64(y - 5)

The equation of the parabola is (x - 10)² + (y - 5)² = 64(y - 5).

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Answer:

7.5e-5

Step-by-step explanation:

Answer:

Please see the analysis below.

Step-by-step explanation:

If the test is applied twice, the two test results are independent, and both are positive, then the posterior probability that the selected individual has the disease is 31.3%.

Bayes’ theorem can be used to find the posterior probability that the selected individual has the disease after two tests if the prior probability is given along with the test results.

Bayes' theorem is a statistical method that provides a way to update the probability of a hypothesis as additional evidence or information becomes available. It is used to find the posterior probability of a hypothesis given some prior probability and new evidence.

Here, let A denote the event that the selected individual has the disease, and B denote the event that both tests are positive.

Prior probability of having the disease:

P(A) = 0.06

Probability of both tests being positive, given that the person has the disease:

P(B | A) = Probability that both tests are positive given that the individual has the disease = (Probability of testing positive for the first test) * (Probability of testing positive for the second test) = (0.94) * (0.94) = 0.8836

Probability of both tests being positive, given that the person does not have the disease:

P(B | A') = Probability that both tests are positive given that the individual does not have the disease = (Probability of testing positive for the first test) * (Probability of testing positive for the second test) = (0.06) * (0.97) = 0.0582

Using Bayes' theorem:

Posterior probability of having the disease:

P(A | B) = Probability that the selected individual has the disease given that both tests are positive

P(B | A) * P(A)P(B | A) * P(A) + P(B | A') * P(A') = 0.8836 * 0.06/ (0.8836 * 0.06) + (0.0582 * 0.94) = 0.313 or 31.3%

Therefore, the posterior probability that the selected individual has the disease is 31.3%.

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Step-by-step explanation:

Hey there!

Let the width be x. Then the length will be 3x - 7.

Perimeter (p) = 38cm.

We have;

Perimeter (p)= 2(length+wide)

38 = 2(3x-9+x)

38 = 8x - 18

38+18 = 8x

X = 56/8

Therefore, x = 7cm

3x-9 = 3*7-9

= 12cm.

Therefore, wide= 7cm and length= 12cm.

Hope it helps...

1) The transformations we have in this function y=-4(x+1)²-5 In comparison to its parent function y=x²

1.1) A horizontal shift to the left the +1 y=-4(x+1)²-5 inside the parentheses

1.2) A reflection marked by the minus y=-4(x+1)²-5

1.3) A Vertical Stretch: y=-4(x+1)²-5

1.4) A vertical shift down: y=-4(x+1)²-5

2) We can see that in a plotted graph.

Answer:

y=6x-8

Step-by-step explanation:

3x-2y=-4

3x^2-2y^2=-4^2

6x-y=8

y=6x-8

The necessary preprocessor directive to enable the use of functions like sqrt and sin

#include <math.h>

Generally, A preprocessor directive is a command that is processed by the preprocessor in a programming language before the actual compilation of the source code begins.

Preprocessor directives are used to give instructions to the preprocessor, which is a program that performs text substitution on

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Answer: A.

Step-by-step explanation:

Two

Answer:

\(f(x) = 144\)

Step-by-step explanation:

This problem deals with a function. All this question is asking is to plug in -4 every time an x appears.

So, let's do that:

\(f(-4) = 10(-4)^{2} + 3(-4) - 4\)

\(f(-4) = 10(16) - 12 - 4\)

\(f(-4) = 160 - 16\)

\(f(-4) = 144\)

Answer:

There are no possible real values for x.

Step-by-step explanation:

The equation states:

4-x²>10

-x²>10-4 (Move 4 to the other side)

-x²>6 (Multiplying by -1 changes the sign)

x²<-6

In the case that we aren't working with imaginary numbers, no number squared would give -6, or anything below -6.

Hope this helps, and let me know if imaginary numbers are necessary for this question ♡

Answer:

Step-by-step explanation:

4(2n+3)=12

8n + 12=12

8n        = 0

 n        = 0

9514 1404 393

Answer:

Step-by-step explanation:

Maybe you want to find possible values of n.

  4(2n +3) > 1 . . . . . an expression of the problem statement

  8n +12 > 1 . . . . . . eliminate parentheses

  8n > -11 . . . . . . . . subtract 12

  n > -11/8 . . . . . . . . divide by 8

Answer:

Step-by-step explanation:

Aaahhhhh!!! Ja haw has b ha HA n zzz's

The minimum score required for the job offer found using normal distribution is 629

To find the minimum score required for the job offer, we have to use the standard normal distribution formula.

Where Z-score can be calculated as,

Z = (x - μ) / σ

Z-score is the number of standard deviations from the mean.

μ = Mean = 455

σ = Standard Deviation = 124

Substituting the values, we get, Z = (x - μ) / σ= (x - 455) / 124

Probability value = 1 - 0.08 = 0.92

The probability of getting scores in the top 8% is 0.92.

By using the standard normal distribution table, we can find the corresponding z-value, where the area under the curve to the right of that value is 0.92.

So, the corresponding Z-value is 1.44.

Z-value = 1.4 = (x - 455) / 124

We can solve the above equation for x (minimum score required for the job offer).

x = Z * σ + μ = 1.4 * 124 + 455 = 628.6 ≈ 629

Round off the answer to the nearest whole number, we get the minimum score required for the job offer is 629.

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Answer:

tgv7cutc

Step-by-step explanation:

txr. thh5d tdhg6643gchctc

Answer:

The correct option is;

0.28

Step-by-step explanation:

The given parameters are;

The mean score for Michael, \(\bar x _1\) = 150

The standard deviation, σ₁ = 30

The mean score for Alan,  \(\bar x _2\) = 165

The standard deviation, σ₂ = 15

Taking n₁ = n₂ = 1

\(z=\dfrac{(\bar{x}_{1}-\bar{x}_{2})-(\mu_{1}-\mu _{2} )}{\sqrt{\dfrac{\sigma_{1}^{2} }{n_{1}}-\dfrac{\sigma _{2}^{2}}{n_{2}}}}\)

Taking μ₁ - μ₂ = 0

\(z=\dfrac{(150-165)}{\sqrt{\dfrac{30^{2} }{1}-\dfrac{15^{2}}{1}}} \approx -0.577\)

The p-value for a z-score of -0.577 from the z-table is 0.28434

Therefore, the probability that Michael, with mean score, \(\bar x _1\) = 150 will have a greater score than Alan, with a mean score of \(\bar x _2\) = 165 is 0.28434 ≈ 0.28

Therefore, the correct option is 0.28

Answer:

88 °F

Step-by-step explanation:

85 - (-3) = 88 degrees

Answer:

68

Step-by-step explanation:

Because its simple subtraction, simplify just means solve it.

The equation of the proportional relationship for the total cost of purchasing x footballs is given as follows:

y = 9x.

A proportional relationship is a type of relationship between two quantities in which they maintain a constant ratio to each other. This means that if one quantity is multiplied by a certain factor, the other quantity will also be multiplied by the same factor.

The equation that defines the proportional relationship is given as follows:

y = kx.

In which k is the constant of proportionality, representing the increase in the output variable y when the constant variable x is increased by one.

From the table, when x increases by 1, y increases by 9, hence the constant is given as follows:

k = 9.

Then the equation that models the proportional relationship is given as follows:

y = 9x.

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