12=15(z−51​)
What is Z

The exact value of sin 5pi/12 as a numerical expression involving surds and fractions is sqrt(2 + sqrt(3))/2. To find the exact value of sin 5pi/12, we can use the half-angle identity for sine:

sin(x/2) = ± sqrt((1-cos(x))/2)

where x = 5pi/6. Since 5pi/12 is half of 5pi/6, we can use this identity to find the value of sin 5pi/12.

First, we need to find cos(5pi/6):

cos(5pi/6) = cos(pi - pi/6) = -cos(pi/6) = -sqrt(3)/2

Next, we can use the half-angle identity for sine:

sin(5pi/12) = ± sqrt((1 - cos(5pi/6))/2)

= ± sqrt((1 + sqrt(3)/2)/2)

= ± sqrt(2 + sqrt(3))/2

Since sin(5pi/12) is positive in the first and second quadrants, we take the positive square root:

sin(5pi/12) = sqrt(2 + sqrt(3))/2

Therefore, the exact value of sin 5pi/12 as a numerical expression involving surds and fractions is sqrt(2 + sqrt(3))/2.

Learn more about value here:

brainly.com/question/28368222

#SPJ11

Answer:

Complementary

Step-by-step explanation:

When 2 things are complementary, they take up all given space.

When it's unlikely, it isn't all probability

Independent means they don't affect each other.

Disjoint means mutually exclusive.

The problem can be solved using a bit-error rate (BER) analysis. BER is the ratio of the number of bits in error to the total number of bits transmitted. For a binary message M that is equally likely to be 1 or -1, the error probability is given by the probability that M and R have different signs.

The problem can be solved using a bit-error rate (BER) analysis. BER is the ratio of the number of bits in error to the total number of bits transmitted. For a binary message M that is equally likely to be 1 or -1, the error probability is given by the probability that M and R have different signs. Therefore, the error probability is 0.5 for a single message transmitted.
When the amplitude of the transmitted signal is tripled, the probability of error remains 0.5 since the noise variance is still the same. However, the probability of correct detection is higher because the distance between the received signal and the decision threshold is larger.
When the original signal is sent three times, and majority is taken for the conclusion, the probability of error is reduced. If all three signals are received correctly, the probability of error is zero. If one signal is received in error, the probability of error is 0.5, and if two signals are received in error, the probability of error is 1. Therefore, the probability of error is given by the binomial distribution:
P(error) = 3C1\((0.5)^1\)\((0.5)^2\) + 3C2\((0.5)^2(0.5)^1\) + 3C3\((0.5)^3(0.5)^0\)
P(error) = 0.375
Therefore, the error probability is 0.5 for a single message transmitted, 0.5 for a tripled amplitude of the transmitted signal, and 0.375 for sending the original signal three times and taking the majority for the conclusion.

To know more about probability visit:

https://brainly.com/question/32004014

#SPJ11

If sentence 6 states that ¬C is true, and sentence 7 presents a conditional statement with C as the antecedent and Q as the consequent, we can use modus ponens to infer that Q is false.

Modus ponens is a deductive reasoning rule that allows us to derive a conclusion from a conditional statement and its antecedent. Therefore, we can apply modus ponens to sentence 7 given that we know ¬C from sentence 6.
Since from sentence 6 we know ¬C, we can apply modus ponens to sentence 7. To do this, follow these steps:
1. Identify the premises: One premise is sentence 6, which states ¬C. The other premise should be a conditional statement, such as "If ¬C, then P" (replace P with the relevant proposition).
2. Apply modus ponens: Modus ponens is a rule of inference that allows us to deduce a conclusion from the given premises. If we have the premises "If ¬C, then P" and "¬C", we can conclude "P" using modus ponens.
3. State the conclusion: After applying modus ponens, we can conclude "P" based on the given premises, which include sentence 6 (¬C) and the conditional statement.

Visit here to learn more about antecedent:

brainly.com/question/28845527

#SPJ11

Answer:

x = 33

Step-by-step explanation:

The sum of the angles of a triangle are 180 degrees

x+114+33 = 180

Combine like terms

x+147 = 180

Subtract 147 from each side

x+147-157 = 180-147

x = 33

Answer:

x=33

Step-by-step explanation:

The interior angles of a triangle must add up to 180 degrees. Therefore, the 3 angles inside the triangle should add to 180.

x+114+33=180

Combine like terms by adding 114 and 33

x+147=180

In order to solve this equation, we must get x isolated. Perform the inverse operation to both sides.

x+147=180

147 is being added on to x. The inverse of addition is subtraction. Subtract 147 from both sides.

x+147-147=180-147

X=180-147

x=33

x is equal to 33 degrees.

Answer:

Some People Have Curly Brown Hair Turns Permanently Black

Step-by-step explanation:

Sin=p/h

Cos=b/h

Tan=p/b

Answer:

"SOHCAHTOA" is a helpful mnemonic for remembering the definitions of the trigonometric functions sine, cosine, and tangent i.e., sine equals opposite over hypotenuse, cosine equals adjacent over hypotenuse, and tangent equals opposite over adjacent, (1) (2) (3) Other mnemonics include.

Step-by-step explanation:

The ordered pair that can be plotted together with these four points, so that the resulting graph still represents a function is (2, -1).

option C.

The ordered pair that can be plotted together with these four points, so that the resulting graph still represents a function is determined as follows;

The four points include;

A = (1, 2)

B = (2, - 3)

C = (-2, - 2)

D = (-3,  1)

The  ordered pair that can be plotted together with these four points, must fall withing these coordinates. Going by this condition we can see that the only option that meet this criteria is;

(2, - 1)

Thus, the ordered pair that can be plotted together with these four points, so that the resulting graph still represents a function is (2, -1).

Learn more about ordered pairs here: https://brainly.com/question/30467126

#SPJ1

Hello there. To solve this question, we'll have to remember some properties about rotations.

Given the red and black triangles in the graph, we have to name the rotation that maps the black triangle onto the red triangle.

Even though they are displaced (that is, the black triangle will not be at the exact same place as the red after the rotation), we still can name this rotation.

We start by taking a point of which we can start the rotation of the triangle, as the axis of rotation. Notice the point at the vertex (1, -3), which we'll be referring as A from now on.

In this case, if we apply a 180º rotation on the triangle with respect to the axis at the vertex A.

Imagine a axis leaving the plane, such that a rotation like this would give us:

That is exactly what the triangle red is.

The rotation is in fact a 180º rotation (can be either clockwise or anticlockwise)

We can also use complex numbers to find that this might be a 180º rotation.

Answer:

true

Step-by-step explanation:

A correlation is symmetrical;x is as correlated with y as y is with x. The Pearson product-moment correlation can be understood within a regression context,however.

Given that : There are a total of 76 teachers and students watching a school play. There are 4 teachers and 40 girls.

Need to find : the ratio of boys to girls in lowest terms.

Firstly we need to find out the number of boys . For that subtract the number of teachers and girls from total number of teachers and students. That will be ,

\(\implies \sf n( boys) = 76 - 4 - 40 =\red{ 32 }\)

Therefore our required ratio will be:-

\(\implies \sf 32 : 40 = \boxed{\sf 4:5 }\)

Hence the required answer is 4:5 .

An association between the two variables can be implied if the relative frequencies vary across the columns.

In a two-way table, the relative frequencies represent the proportion of observations within each cell relative to the total number of observations in that column. If the relative frequencies differ significantly across the columns, it suggests that there is an association between the two variables being examined. This indicates that the distribution of one variable is not independent of the other variable, and there may be a relationship or dependence between them. It is important to analyze the patterns in the data, perform additional statistical tests, and consider other factors to confirm the presence and strength of the association.

An association between the two variables can be implied if the relative frequencies vary across the columns.

learn more about variables here:
https://brainly.com/question/15078630

#SPJ11

Let \(\Phi(z)\) denote the cumulative distribution function for the standard normal distribution (mean 0, standard deviation 1). Then you're looking for z such that

(a) \(\Phi(z) = P(Z\le z) = 0.70\)

(b) \(\Phi(z) = P(Z\le z) = 0.40\)

(c) \(\Phi(z) = P(Z\le z) = 0.25\)

To get the corresponding z-score for each of 0.70, 0.40, and 0.25, take the inverse CDF of both sides:

(a) \(z = \Phi^{-1}(0.70) \approx 0.5244\)

(b) \(z = \Phi^{-1}(0.40) \approx -0.2533\)

(c) \(z = \Phi^{-1}(0.25) \approx -0.6745\)

a) The z-score separating the highest 30% is approximately 0.524.

b) The z-score separating the lowest 40% is approximately -0.253.

c) The z-score separating the highest 75% is approximately 0.674.

To find the z-scores that separate specific percentages of a normal distribution, we can use the standard normal distribution table (also known as the z-table) or a statistical calculator. The z-score represents the number of standard deviations a value is away from the mean.

a) Separating the highest 30% from the rest of the distribution:

We want to find the z-score that corresponds to the cumulative area of 0.70 (100% - 30% = 70%). Using a z-table or calculator, the z-score for this cumulative area is approximately 0.524.

b) Separating the lowest 40% from the rest of the distribution:

We want to find the z-score that corresponds to the cumulative area of 0.40. Using a z-table or calculator, the z-score for this cumulative area is approximately -0.253.

c) Separating the highest 75% from the rest of the distribution:

We want to find the z-score that corresponds to the cumulative area of 0.25 (100% - 75% = 25%). However, since we're looking for the highest 75%, we need to find the z-score for the cumulative area of 1 - 0.25 = 0.75. Using a z-table or calculator, the z-score for this cumulative area is approximately 0.674.

To know more about z-score, refer here:

https://brainly.com/question/31871890

#SPJ3

Answer:

?what?

Step-by-step explanation:

The area of the curved surface of the dryer is 11.775m

The three-dimensional form of a cylinder is made up of two parallel circular bases connected by a curving surface. The right cylinder is created when the centers of the circular bases cross each other. The axis, which represents the height of the cylinder, is the line segment that connects the two centers.

A cylinder is a three-dimensional solid object with two bases that are identically circular and are connected by a curving surface that is located at a certain height from the center. Real-world examples of cylinders are toilet paper rolls and cold beverage cans.

We know, the formula for curved surface of cylinder is 2pirh

putting the desired value in the equation we get

11.775m

To learn more about cylinders, click the following link;-

https://brainly.com/question/23935577

#SPJ1

We have the following:

the number of 0 represents the number of the exponent

as is the are zeros to the right, the exponent is negative

Therefore, the answer is:

Answer:10

Step-by-step explanation:

2+4+6+6+9+13+30=70

70 divided by 7= the mean should be 10

Answer:

the mode is 6 the median is also 6 the range is 28 the mean is 10

Step-by-step explanation:

Answer:

y= 1/4x + 3

Step-by-step explanation:

Answer:

y= 1/4x +3

Step-by-step explanation:

I used a graph

The option that describes the center and variability of simulation A and simulation B is The centers will roughly be equal, and the variability of simulation A will be less than the variability of simulation B. The correct answer is C.

Considering the details provided in the query,

The two simulations will be run with sampling proportions from a population with a true percentage of 0.325.

Simulacrum A:

100 samples were used.

Tests: 1500

Exercise B -

50 samples total.

2000 trials

Due to the relationship between simulations A and B, they are now nearly equal.

1500 x 100 is the overall sample size for Simulation A.

= 150000

The simulation B sample size is 2000 x 50.

= 100000

We can observe from the simulations A and B calculations above that when comparing the,

Sample Size = Comparison of Simulations A and B

Simulation B + Simulation = Variability

Your question is incomplete but most probably your full question was

In a recent survey, the proportion of adults who indicated mystery as their favorite type of book was 0.325. Two simulations will be conducted for the sampling distribution of a sample proportion from a population with a true proportion of 0.325. Simulation A will consist of 1,500 trials with a sample size of 100. Simulation B will consist of 2,000 trials with a sample size of 50. Which of the following describes the center and variability of simulation A and simulation B?

A) The centers will roughly be equal, and the variabilities will roughly be equal.

B) The centers will roughly be equal, and the variability of simulation A will be greater than the variability of simulation B.

C) The centers will roughly be equal, and the variability of simulation A will be less than the variability of simulation B.

D) The center of simulation A will be greater than the center of simulation B, and the variability of simulation A will roughly be equal to the variability of simulation B.

E) The center of simulation A will be less than the center of simulation B, and the variability of simulation A will be greater than the variability of simulation B.

To learn more about Sampling Simulation,

brainly.com/question/16359096

#SPJ4

Answer:

20ft^2

Step-by-step explanation:

The length is currently three feet, if you add two feet to three that makes five feet. Five times four is twenty.

I hope this helps!

Answer:

\(20 ft^{2}\)

Step-by-step explanation:

A rectangle's formula for area is:

\(Area=L(w)\)

Let's use the formula to find the area first.

Multiply the Length and Width:

3 · 4 = 12.

12 is our area for the previous rectangle.

Our new rectangle has a length of 3+2, and a width of 4.

Let's use the formula again to find the area of our new rectangle.

Multiply 5 by 4:

5 · 4 = 20.

The area of the new rectangle is \(20ft^{2}\)

Answer:

f(-5) = 134

Step-by-step explanation:

f(x) = 4x² - 5x + 9

f(anything) will set the value of x to the value thats in f(x).

f(-5) = 4(-5)² - 5(-5) + 9

Square the -5. Remember, (-x)² = (-x) * (-x) = x²

f(-5) = 4(25) - 5(-5) + 9

Multiply 4 and 25, and -5 and -5.

f(-5) = 100 + 25 + 9

Add 25 and 100.

f(-5) = 125 + 9

Add 125 and 9.

f(-5) = 134.

Bill is most likely using a power tool cord or an extension cord designed for power tools.

When replacing a worn-out cable for a power table saw, it is important to use a cable that is specifically designed for power tools. These cables, often called "extension cords" or "power tool cords," are built to handle the high electrical currents required by power tools such as table saws. They are constructed with durable insulation and conductors that can withstand the demands of power tools. These cords are also designed to be flexible, allowing for easy movement and maneuverability while operating the tool. They may also include grounding features to enhance safety. Therefore, it is reasonable to assume that Bill would choose a power tool cord or an extension cord suitable for powering his table saw.

To know more about power tool cord, click here: brainly.com/question/31927430

#SPJ11

Answer:

x = -9/2

Step-by-step explanation:

64 = 2^6

if you have the same base, you can set the exponents equal and solve for x.

-2x-3 = 6

-2x = 9

x = -9/2

good luck on your final! you got this!

Step-by-step explanation:

\( {2}^{ - 2x - 3} = 64\)

first, get 64 to a base of 2

\( {2}^{ - 2x - 3} = {2}^{6} \)

now we can drop the bases

\( - 2x - 3 = 6\)

And now we can solve it like any other equation

\( - 2x = 6 + 3\)

\( - 2x = 9\)

\(x = - \frac{9}{2} \)

To find the sum of the vertex angles in various polygons, we need to sketch the polygons and then calculate the sum. For a hexagon, octagon, and dodecagon, the sums of the vertex angles are 720°, 1,080°, and 1,800°, respectively.

a. Hexagon: A hexagon is a polygon with six sides. To find the sum of the vertex angles, we can divide the hexagon into triangles. Since each triangle has an interior angle sum of 180°, the hexagon can be divided into four triangles. Therefore, the sum of the vertex angles in a hexagon is 4 * 180° = 720°.

b. Octagon: An octagon is a polygon with eight sides. Similar to the hexagon, we can divide the octagon into triangles. Dividing it into six triangles, each with an interior angle sum of 180°, the sum of the vertex angles in an octagon is 6 * 180° = 1,080°.

c. Dodecagon: A dodecagon is a polygon with twelve sides. Dividing it into ten triangles, each with an interior angle sum of 180°, the sum of the vertex angles in a dodecagon is 10 * 180° = 1,800°.

Therefore, the sum of the vertex angles in a hexagon is 720°, in an octagon is 1,080°, and in a dodecagon is 1,800°.

Learn more about polygons here:

https://brainly.com/question/23846997

#SPJ11

Find the sum of the vertex angles of the following polygons---

a. A hexagon

b. An octagon

c. A dodecagon.

Answer:

10.2%

Step-by-step explanation:

Prediction of the broadcaster = 88 points

Actual score scored = 98points

% error = actual score-predicted score/actual score × 100℅

Substitute the given scores into the formula;

%error = 98-88/98 × 100

%error = 10/98 × 100

%error = 1000/98

%error = 10.2%

Hence the broadcaster percentage error is approximately 10.2%

The height of the cylinder whose surface area and radius are as given in the task content is; 67 ft.

It follows from the task content that the height of the cylinder as described by the surface area and radius above be determined.

On this note, recall that the surface area of a cylinder is given by the formula;

Surface area = 2πrh

Therefore;

6732.16 = 2 × 3.14 × 16 × h

h = 6732.16/100.48

h = 67.

Consequently, the height of the cylinder which is as described is; 67 ft.

Read more on surface area of a cylinder;

https://brainly.com/question/14657844

#SPJ1