i need helpp pleaseeeee

I Need Helpp Pleaseeeee

Answers

Answer 1

Answer/Step-by-step explanation:

The angles where two unequal sides of a kite meet are congruent to each other. Thus, these two opposite angles in a kite are equal to each other.

Therefore:

7. <E = <G

Sum of interior angles of a quadrilateral = 360

Thus,

<E = (360 - (150 + 90))/2

<E = 120/2

<E = 60°

<E = <G (set of congruent opposite angles of a kite)

Therefore,

<G = 60°

8. <H = <F (set of congruent opposite angles of a kite)

<F = right angle = 90°

Therefore:

<H = 90°

<G = 360 - (90 + 110 + 90) (sum of quadrilateral)

<G = 70°

9. Based on trapezoid midsegment theorem, the equation should be:

MN = (AB + DC)/2

Thus:

8 = (14 + DC)/2

8 * 2 = 14 + DC

16 = 14 + DC

16 - 14 = DC

2 = DC

DC = 2

10. A kite has only one set of opposite angles that are congruent to each other. The angles where the unequal sides meet, <B and <D, is the only set of angles that are congruent.

Therefore, m<A ≠ 50°

Rather, m<B = m<D = 120°

m<A = 360 - (120 + 120 + 50) (sum of quadrilateral)

m<A = 70°


Related Questions

Name the three digit number. My ones digit is an even number which is three times as much as my tens digit. My tens digit is the same as my hundreds digit. The sum of all my digits is 10. What number am i?
A. 424
B. 028
C. 226
D. 622​

Answers

it's C because the even number in the ones digit is 6, and 2x3 is 6. and the tens digit is the same as the hundreds digit so 2 and 2. and

Which statement best explains if the graph correctly represents the proportional relationship y = −2x? A coordinate plane is shown. Points are graphed at negative 2 and 4 and negative 1 and 2. The points are joined by a line. It does not, the points shown would not be part of y = −2x. It does not, proportions cannot be represented on a graph. It does, all proportions can be shown on a graph of this line. It does, the points shown on the line would be part of y = −2x.

Answers

Answer:

d. It does, the points shown on the line would be part of y = −2x.

is the answer let me know if this helped

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

hope i helped

-1000 2/3 is not real fraction. True or false

Answers

True, While "-1000 2/3" is not a real fraction, it can be represented as the improper fraction -2998/3.

The statement "-1000 2/3 is not a real fraction" is true. A real fraction is a mathematical expression that represents a ratio of two real numbers. In a fraction, the numerator and denominator are both real numbers, and they can be positive, negative, or zero.

In the given statement, "-1000 2/3" is not a valid representation of a fraction. The presence of a space between "-1000" and "2/3" suggests that they are separate entities rather than being part of a single fraction.

To represent a mixed number (a whole number combined with a fraction), a space or a plus sign is typically used between the whole number and the fraction. For example, a valid representation of a mixed number would be "-1000 2/3" or "-1000 + 2/3". However, without the proper formatting, "-1000 2/3" is not considered a real fraction.

It's important to note that "-1000 2/3" can still be expressed as an improper fraction. To convert it into an improper fraction, we multiply the whole number (-1000) by the denominator of the fraction (3) and add the numerator (2). The result would be (-1000 * 3 + 2) / 3 = (-3000 + 2) / 3 = -2998/3.

In conclusion, while "-1000 2/3" is not a real fraction, it can be represented as the improper fraction -2998/3.

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What is the relationship between the ratios?

0.2/2.6 and 0.3/3.6

Drag and drop a term into the box to correctly complete the statement.

What is the relationship between the ratios?0.2/2.6 and 0.3/3.6Drag and drop a term into the box to correctly

Answers

Answer:

proportional

Step-by-step explanation:

test = 100%

Answer: The correct answer is that it is proportional?

Complete the work shown to answer the question.


p2 – 14p – 72 = 0


p2 – 14p = 72


p2 – 14p + 49 = 72 + 49


Which describes the solutions of the equation?


Since 7 and 11 are both rational, the sum and difference are rational.

Since 14 and 11 are both rational, the sum and difference are rational.

Since 7 is rational and StartRoot 11 EndRoot is irrational, the sum and difference are irrational.

Since StartRoot 7 EndRoot is irrational and 11 is rational, the sum and difference are irrational.


i got the answer its a

Answers

Answer:

Since 7 and 11 are both rational, the sum and difference are rational.

Step-by-step explanation: It's A

Answer:

Since 7 and 11 are both rational, the sum and difference are rational.Step-by-step explanation: A

The question is in the picture :)

The question is in the picture :)

Answers

The formula for the n-th term of the sequence is:

sₙ = 4*(-1)ⁿ + (n - 1)*2*(-1)ⁿ

How to find the formula for the sequence?

Here sₙ represents the n-th term of the sequence, we can see that:

s₁ = -4

s₂ = 6

s₃ = -8

...

What we can see is that in each consecutive term, the sign changes and we add or subtract 2, depending on the new sign.

Then the recursive formula for the n-th term can be written as:

sₙ = sₙ₋₁*(-1)ⁿ + 2*(-1)ⁿ

Where the (-1)ⁿ are things that change the sign depending if n is  even or odd.

We can expand the formula to be a more general one by writting:

sₙ = 4*(-1)ⁿ + (n - 1)*2*(-1)ⁿ

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Someone help please xxx

Someone help please xxx

Answers

Angle a is congruent to angle x
Angle b is congruent to angle z
Angle c is congruent to angle y
Line ab is congruent to line xz
Line ac is congruent to line xy
Line bc is congruent to line zy
Triangle bac is congruent to triangle zxy

LOOK AT THE PHOTO PLS

LOOK AT THE PHOTO PLS

Answers

Answer:

I'm think its parallel ||

hint: 180 *
1. Find the missing angle.
29
R
61
T

hint: 180 *1. Find the missing angle.29R61T

Answers

Answer:

∠ R = 90°

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180° , that is

∠ R + ∠ S + ∠ T = 180° , substitute values

∠ R + 29° + 61° = 180°

∠ R + 90° = 180° ( subtract 90° from both sides )

∠ R = 90°

Simplify the following expression

7-5/6 × 7-7/6

Answers

\(\longrightarrow{\blue{ 0 }}\) 

\(\sf \bf {\boxed {\mathbb {STEP-BY-STEP\:EXPLANATION:}}}\)

\(7 - ( \frac{5}{6} \times 7) - \frac{7}{6} \)

\( = 7 - \frac{35}{6} - \frac{7}{6} \)

Since the denominators are unequal, we find the L.C.M (lowest common multiple) for the denominators.

The L. C. M is 6.

Now, multiply the L.C.M. with both numerator & denominator.

\( = \frac{7 \times 6}{1 \times 6} - \frac{35}{6} - \frac{7}{6} \)

Now that the denominators are equal, we can add/subtract them.

\( = \frac{42- 35 - 7}{6} \)

\( = \frac{42 - 42}{6} \)

\( = \frac{ 0}{6} \)

\( = 0\)

\(\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35♛}}}}}\)

Looking at the table above ,

A. What would you consider as the independent variable in this situation ? Introduce the symbol/ name (x,t,...) you will use to represent this variable . Remember to include the units.

B. What is the dependent variable ? Introduce the symbol /name for this variable . Remember the units .

Looking at the table above , A. What would you consider as the independent variable in this situation

Answers

The independent Variable in the situation presented in the table is the temperature (T), which is measured in degrees Celsius (°C), and the dependent variable is the volume (V), which is measured in milliliters (mL).

The table above illustrates the relationship between the temperature of a substance and its volume. The independent variable is the temperature of the substance and the dependent variable is the volume of the substance.

The symbol or name used to represent the independent variable is "T" for temperature and its units are given as degrees Celsius or °C.The symbol or name used to represent the dependent variable is "V" for volume, and its units are given as milliliters or mL.

The temperature is the independent variable as it is being manipulated in the experiment while the volume is dependent on the temperature as it is changing based on the temperature.

An independent variable is a variable in an experiment that is being manipulated by the experimenter, while the dependent variable is the variable that is being measured in response to changes in the independent variable.

In summary, the independent variable in the situation presented in the table is the temperature (T), which is measured in degrees Celsius (°C), and the dependent variable is the volume (V), which is measured in milliliters (mL).

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According to loyalty card data, the amount of money spent per shopper at the grocery store is normally distributed with a mean of $75 per trip and a standard deviation of $25 per trip. How much money does a shopper spend that is at the 95th percentile of this distribution

Answers

Answer:

A shopper that is at the 95th percentile of this distribution spends $116.125.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of $75 per trip and a standard deviation of $25 per trip.

This means that \(\mu = 75, \sigma = 25\)

How much money does a shopper spend that is at the 95th percentile of this distribution?

This is X when Z has a p-value of 0.95, so X when Z = 1.645.

\(Z = \frac{X - \mu}{\sigma}\)

\(1.645 = \frac{X - 75}{25}\)

\(X - 75 = 1.645*25\)

\(X = 116.125\)

A shopper that is at the 95th percentile of this distribution spends $116.125.

en una finca hay 100 gallinas y 50 conejos cuántas patas y picos hay​

Answers

Answer:

los conejos no tienen pico, por lo que es la cantidad de pollos que hay, ya que un pollo solo tiene un pico

Step-by-step explanation:

. Translate parallelogram ABCD 2 units down and plot it. 2. Translate rhombus EFGH 2 units to the left, 4 units down, and plot it. 3. If the coordinates of the vertices of a square LMNO are L(-5,-5), M(-5,-2), N(-2,-2). What are the coordinates for O? 4. If the coordinates of the vertices of a triangle XYZ are X (2,1), Y(4,4) and Z(5,2). Translate the triangle XYZ 4 units down. What are the new coordinates? 5. Write the coordinates down for the following points: Please Write The answers

. Translate parallelogram ABCD 2 units down and plot it. 2. Translate rhombus EFGH 2 units to the left,
. Translate parallelogram ABCD 2 units down and plot it. 2. Translate rhombus EFGH 2 units to the left,

Answers

To translate a shape, all of its vertices must be moved in the same direction and by the same amount. The responses to the five sections of the question are as follows:

What are coordinates?

Coordinates are used to identify the position of an object on a two-dimensional grid or in three-dimensional space. They are usually written as pairs of numbers, separated by a comma.

1. We must deduct 2 from all of the y-coordinates of the vertices of the parallelogram ABCD in order to translate it two units down. Let's assume that the vertices' initial coordinates are A(a,b), B(c,d), C(e,f), and D. (g,h). The vertices will then have the new coordinates A'(a,b-2), B'(c,d-2), C'(e,f-2), and D' (g,h-2). To obtain the translated parallelogram, plot these new vertex points.

2. To move the rhombus EFGH 2 units to the left and 4 units down, we must deduct 2 from all of its vertices' x-coordinates and 4 from all of its y-coordinates. Let's assume that the vertices' initial coordinates are E(a,b), F(c,d), G(e,f), and H. (g,h). The vertices will then have the new coordinates E'(a-2,b-4), F'(c-2,d-4), G'(e-2,f-4), and H' (g-2,h-4). To obtain the translated rhombus, plot these additional vertices.

3. If we want to translate a square with coordinates L(-5,5), M(-5,5), N(5,5), and O(5,5) 3 units to the right and 2 units up, we must add 3 to all of its x-coordinates and subtract 2 from all of its y-coordinates. The vertices' new coordinates are L'(-2,-7), M'(-2,3), N'(8,3), and O' (8,-7). To obtain the translated square, plot these new vertex points.

4. The new coordinates of triangle XYZ after translating 4 units down will be X' (2,-3), Y' (4,1) and Z' (5,-2). This is happening because when a triangle is translated 4 units down, the y-coordinate of each vertex is decreased by 4 units, while the x-coordinate remains the same.

5. I (4,-2) P (-4,-2) G (5,2) Q (6,-4) R (-2,2)

S (6,4) J (1,-1) U (-5,0) H (3,-1) K (-6,-5)

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Simplify 3(x+2) + 2x + 5

Answers

Answer:

\(5x+11\)

Step-by-step explanation:

Step 1: Distribute

\(3x+6+2x+5\)

Step 2: Add like terms

\(5x+11\) < your answer

which of these is the quadratic parent function

which of these is the quadratic parent function

Answers

The quadratic parent function, f(x) = x², represents the most basic form of a quadratic function.

f(x) = x² is called the "parent" or "standard" form because it serves as a template or starting point for other quadratic functions.

In this function, x represents the input or independent variable, and f(x) represents the output or dependent variable.

The function takes any real number as an input, squares it, and produces the corresponding output.

By modifying the quadratic parent function with additional terms or coefficients, we can create different variations of quadratic functions that result in shifts, stretches, or compressions of the parabola, as well as changes in its orientation or vertex position.

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Match each multiplication expression on the left with the best estimate of its product on the right. (80)(30) = 2,400 29.3 x 5.9 81.4 x 32.1 32.9 x 4.81 46.7 x 31.7 59.3 x 3.57 (30)(6) = 180 (30)(5) = 150 (60)(4) = 240 (50)(30) = 1,500 Done​

Answers

Here is the final matching of multiplication expressions with their estimated products:

(80)(30) = 2,400

(30)(6) = 180

(30)(5) = 150

(60)(4) = 240

(50)(30) = 1,500

29.3 x 5.9 ≈ 173

81.4 x 32.1 ≈ 2,618

32.9 x 4.81 ≈ 158

46.7 x 31.7 ≈ 1,479

59.3 x 3.57 ≈ 212

Match each multiplication expression on the left with the best estimate of its product on the right:

(80)(30) = 2,400

(30)(6) = 180

(30)(5) = 150

(60)(4) = 240

(50)(30) = 1,500

29.3 x 5.9

81.4 x 32.1

32.9 x 4.81

46.7 x 31.7

59.3 x 3.57

Matching the expressions with their estimated products:

(80)(30) = 2,400

(30)(6) = 180

(30)(5) = 150

(60)(4) = 240

(50)(30) = 1,500

Estimates for the remaining expressions:

29.3 x 5.9 ≈ 173.27

81.4 x 32.1 ≈ 2,612.94

32.9 x 4.81 ≈ 158.05

46.7 x 31.7 ≈ 1,480.39

59.3 x 3.57 ≈ 211.46

Matching the expressions with their estimated products:

(80)(30) = 2,400

(30)(6) = 180

(30)(5) = 150

(60)(4) = 240

(50)(30) = 1,500

29.3 x 5.9 ≈ 173.27

81.4 x 32.1 ≈ 2,612.94

32.9 x 4.81 ≈ 158.05

46.7 x 31.7 ≈ 1,480.39

59.3 x 3.57 ≈ 211.46

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When your daughter was born, you decided that you would start saving money for her college education, and you felt that you would like to have $50,000 by the time that she turns 18. If you can invest in a long-term account that pays 2%per year, paid quarterly, then how much should you invest quarterly to have the required amount in time for your daughter to go off to college?

Answers

you will have to change 2% to percentage and you divide $50,000by 200

The solution is $ 34,915.12

The amount to be invested at interest rate of 2 % quarterly is $ 34,915.12

What is Compound Interest?

Compound interest is interest based on the initial principle plus all prior periods' accumulated interest. The power of compound interest is the ability to generate "interest on interest." Interest can be added at any time, from continuously to daily to annually.

The formula for calculating Compound Interest is

A = P ( 1 + r/n )ⁿᵇ

where A = Final Amount

P = Principal

r = rate of interest

n = number of times interest is applied

b = number of time periods elapsed

Given data ,

Let the amount to be invested be = P

Now , the compound interest is calculated quarterly

So , n = 4

The rate of interest r = 2 %

The final amount A = $ 50,000

The number of years b = 18 years

So , the equation will be

A = P ( 1 + r/n )ⁿᵇ

Substituting the values in the equation , we get

50000 = P ( 1 + 0.02 / 4 )⁴ ˣ ¹⁸

On simplifying the equation , we get

50000 = P ( 1 + 0.005 )⁷²

50000 = P ( 1.005 )⁷²

50000 = P x ( 1.43204427849 )

Divide both sides of the equation by ( 1.005 )⁷² , we get

P = ( 50000 ) / 1.43204427849

P = $ 34,915.12

Therefore , the value of P is $ 34,915.12

Hence , the amount to be invested is $ 34,915.12

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How to find the area of a square

Answers

Answer: Find the length of one side and square it

Example: Lets say one side of the square has a length of 7. The area would be 49 because 7x7=49

Please help me please

Please help me please

Answers

Answer:

Step-by-step explanation:

2n + 8.5 = 23

2n = 14.5

2n = 7.25 or 7 1/4 feet

Please help!!

If you could explain how you solved this in detail it would be much appreciated.

When x^3+kx^2+2kx+6 is divided by (x-2), the remainder is 30. Find k.

Answers

Simplifying this equation, we get:

8 + 4k + 4k + 6 = 30

8k + 14 = 30

8k = 16

k = 2

Therefore, the value of k is 1.

What is polynomial?

In mathematics, a polynomial is an expression consisting of variables (usually represented by x), coefficients, and non-negative integer exponents, which are combined using the operations of addition, subtraction, and multiplication. For example,

\(3x^2 + 2x - 1\)

is a polynomial with three terms, or a "trinomial," where the variable x is raised to the powers of 2 and 1, and the coefficients are 3, 2, and -1.

The degree of a polynomial is the highest power of the variable in the expression. For example, the polynomial above has a degree of 2, since the highest power of x is 2.

Polynomials are used in many areas of mathematics, including algebra, calculus, and geometry, and are used to model many real-world phenomena.

We can use the remainder theorem, which states that if a polynomial f(x) is divided by (x - a), then the remainder is equal to f(a). In this case, we know that when the polynomial\(l x^3 + kx^2 + 2kx\) + 6 is divided by (x - 2), the remainder is 30. So, we can set up the following equation:

\(x^3 + kx^2 + 2kx + 6 = (x - 2)q(x) + 30\)

where q(x) is the quotient when. \(x^3 + kx^2 + 2kx + 6\) is divided by (x - 2). We don't need to know what q(x) is, since we're only interested in finding k.

Now, let's substitute x = 2 into the equation above:

\(2^3 + k(2^2) + 2k(2) + 6 = (2 - 2)q(2) + 30\)

Simplifying the left-hand side, we get:

\(8 + 4k + 4k + 6 = 30\)

\(16k = 16\)

\(k = 1\)

OR

8 + 4k + 4k + 6 = 30

8k + 14 = 30

8k = 16

k = 2

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If the variables cancel on each side, and the given equation is TRUE, for example 3=3, then the equation has NO SOLUTION. TRUE OR FALSE

Answers

Answer: False

Reasoning: An equation that is true has an infinite amount of solutions.

Sasha's retirement party will cost $15 if she invites 3 guests. What is the maximum number of guests there can be if Sasha can afford to spend a total of $45 on her retirement party? Solve using unit rates.

Answers

The maximum number of guests she can invite is 9.

What is an expression?

Expression in maths is defined as the relation of numbers variables and functions by using mathematical signs like addition, subtraction, multiplication, and division.

Given that If Sasha invites three guests, the cost of her retirement party will be $15.

If she can afford to spend $45 the maximum number of the guest will be calculated as:-

3 guests = $15

1 guest = $5

Calculate the maximum guest,

Number of guests = $45 / $5

Number of guests = 9

Therefore, the most visitors she may invite is 9.

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packaging idaho produce company ships potatoes to its distributors in bags whose weights are normally distributed witb. nean weight of 50 pounds and a standard deviation of .5 pounds. if a bag of potatoes is selected at random from a shipment, what is the probability that it weighs more than 51 pounds

Answers

The probability that it weighs more than 51 pounds exactly 53 pounds.

Given that, mean weight of 50 pounds and a standard deviation of 0.5 pounds.

We need to find the probability that it weighs more than 51 pounds,

P(X = 53) = 0

z = (51 - 50) / 0.5 = 2.00

P(X > 51) = P(z > 2.00) = 0.0228

z1 = (49 - 50) / 0.5 = -2.00

z2 = (51 - 50) / 0.5 = 2.00

P(49 < X < 51) = P(-2.00 < z < 2.00) = P(z < 2.00) - P(z < -2.00) = 0.9772 - 0.0228 = 0.9544

Hence, the probability that it weighs more than 51 pounds exactly 53 pounds.

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Identify the key features of these functions:

f(x) = 3(x + 5)2 − 10

g(x) = 200(0.95)x

h(x) = -0.25(x + 3)(x − 1)

The vertex of f(x) is at
. The function g(x) is decreasing at a rate of
%. The zeros of h(x) are at
and
.

Answers

Answer:

The vertex of f(x) is at (-5,-10).

The function g(x) is decreasing at a rate of 5%.

The zeros of h(x) are at x = -3 and x = 1.

Step-by-step explanation:

Vertex of a quadratic function:

Suppose we have a quadratic function in the following format:

\(f(x) = ax^{2} + bx + c\)

It's vertex is the point \((x_{v}, f(x_{v})\)

In which

\(x_{v} = -\frac{b}{2a}\)

If a<0, the vertex is a maximum point, that is, the maximum value happens at \(x_{v}\), and it's value is \(f(x_{v})\)

Decaying exponential function:

A decaying exponential function has the following format:

\(A(x) = A(0)(1-r)^{x}\)

In which A(0) is the initial quantity and r is the decay rate.

Zeros of a function:

Given a polynomial f(x), this polynomial has roots \(x_{1}, x_{2}, x_{n}\) such that it can be written as: \(a(x - x_{1})*(x - x_{2})*...*(x-x_n)\), in which a is the leading coefficient.

Vertex of f:

The function f is given by:

\(3(x+5)^2 - 10\)

Expanding the calculations to place at the correct format:

\(3(x+5)^2 - 10 = 3(x^2 + 10x + 25) - 10 = 3x^2 + 30x + 75 - 10 = 3x^2 + 30x + 65\)

Which means that

\(a = 3, b = 30, c = 65\)

The x-value of the vertex is:

\(x_{v} = -\frac{30}{2*3} = -5\)

The y-value of the vertex is:

\(f(-5) = 3(-5+5)^2 - 10 = -10\)

The vertex of f(x) is at (-5,-10).

Decreasing rate of g(x).

We have that:

1 - r = 0.95

So

r = 1 - 0.95 = 0.05

Which means that the decreasing rate is of 5%.

The zeros of h(x) are

The zeros are

x + 3 = 0 -> x = -3

x - 1 = 0 -> x = 1

So

The zeros of h(x) are at x = -3 and x = 1.

Polygraph tests have an accuracy rate of about 90%. This means that it will detect 90% of people who lie and 90% of people who are telling the truth. A company of 4000 employees has everyone submit to a polygraph test. It turns out there are 40 employees who will lie during their polygraph. (Hint: Tests Positive means they are lying!) Complete a table as in your course materials and use it to answer the given question.

If someone does pass their polygraph test, what is the probability they told the truth?

Answers

The probability of someone telling the truth if they pass their polygraph test is 3960/4000, which is 99%.

Polygraph tests are used to detect deception by monitoring physiological responses, such as changes in blood pressure and heart rate, while the subject is asked a series of questions. The accuracy rate of a polygraph test is typically around 90%, meaning that it will detect 90% of people who are lying and 90% of people who are telling the truth. In the given scenario, there is a population of 4000 employees and it is known that 40 of them will lie during their polygraph test. This means that there are 3960 people who will tell the truth. The probability of someone telling the truth if they pass their polygraph test is 3960/4000, which is 99%. This means that if someone passes their polygraph test, there is a 99% probability that they are telling the truth. It is important to note that the accuracy rate of polygraph tests is not 100%, so it is still possible for someone to lie and pass their test. However, the probability of a truthful person passing the test is much higher than the probability of a liar passing the test.

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the exact value of sin 5pi/12 is

Answers

The exact value of sin(5π/12) is (√6 + √2)/4

Calculating the exact value of sin 5pi/12

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

sin 5pi/12

Express properly

So, we have

sin(5π/12)

Convert the angle to degrees

This gives

sin(5π/12) = sin(5/12 * 180)

Evaluate

sin(5π/12) = sin(75)

The actual value of sin(75) is (√6 + √2)/4

This means that

sin(5π/12) = (√6 + √2)/4

Hence, the exact value of sin(5π/12) is (√6 + √2)/4

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The exact value of sin 5π/12 is (√6 + √2)/4

What is trigonometric function?

The trigonometric functions are real functions which relate an angle of a right-angled triangle to ratios of two side lengths.

Angle in trigonometry can be measured in either degree or radian.

π is a measurement in radian which is equivalent to 180° in degrees.

Therefore:

5π/12 = 5 × 180/12

= 75°

Therefore sin5π/12 = sin75°

sin75 = sin( 45+30) = sin45cos30+ cos 45sin30

= 1/√2 × √3/2 + 1/√2 × 1/2

= √3/2√2 + 1/2√2

= (√3+1)/2√2

rationalizing;

(2√6 + 2√2)/8

dividing through by 2

=(√6 + √2)/4

therefore tan75 =(√6 + √2)/4

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In a pre algebra class containing 43 students, there are 4 freshman, 35 sophomores, and 4 juniors. what fraction of the class are sophomores

Answers

The fraction of the class that is sophomores is \(35/43\).

The fraction of the class that is sophomores, divide the number of sophomores by the total number of students in the class.

Number of sophomores = 35

Total number of students = 43

Fraction of sophomores = (Number of sophomores)/(Total number of students Fraction of sophomores)

Fraction of sophomores  \(= 35 / 43\)

Therefore, the fraction of the class that are sophomores is = \(35/43\).

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e
Find the area of this shape.
Not to scale
14.1 cm
15.5 cm
12.0 cm
17.4 cm

eFind the area of this shape.Not to scale14.1 cm15.5 cm12.0 cm17.4 cm

Answers

Answer:

220.35

Step-by-step explanation:

Think of this rectangle of as two horizontal rectangles. The area of the bottom one is expressed by 17.4*12

The area of the top rectangle can be expressed by 3.3*3.5, as 17.4-14.1=3.3 and 15.5-12=3.5.

Add the products for the whole area.

What percent of 40 is 32? Answer it correct I will give you brainlest
Answer ASAP

Answers

Answer:

125

Step-by-step explanation:

Answer:

80%

Step-by-step explanation:

40p/100=32

40p=3200

p=80

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