area of a triangle: sine formula just please help i’m stuck and i don’t know what to do this was due yesterday

Answer: 1/12

Step-by-step explanation:

The probability of rolling a four on a standard 6-sided die is 1/6, and the probability of flipping a dime and landing with heads facing up is 1/2.

To find the probability of both events occurring together, we multiply the probabilities of each event:

P(rolling a four and flipping heads) = P(rolling a four) * P(flipping heads) = 1/6 * 1/2 = 1/12

Therefore, the probability of rolling the die and landing on a four and flipping the coin and landing with heads facing up is 1/12.

The mean value of one trial of the given game is -$0.1667 (or -$0.17 rounded to the nearest cent).

Given, when a fair die is rolled, If a number 1 or 2 appears, you will receive $5. If any other number appears, you will pay $2.

To find the mean value of one trial of this game, we have to multiply the probability of each outcome by its associated value and sum the products together, which is expressed in the formula:

E(X) = p1 x v1 + p2 x v2 + ... + pn x vn

Where, E(X) is the expected value (or mean value) of the gamep1, p2, ..., pn are the probabilities of each outcome

v1, v2, ..., vn are the values associated with each outcome

Let the event of rolling a number 1 or 2 be called A and the event of rolling any other number be called B.p(A) = 2/6 = 1/3p(B) = 4/6 = 2/3v(A) = $5v(B) = -$2E(X) = p(A) x v(A) + p(B) x v(B) = (1/3) x 5 + (2/3) x (-2) = -0.1667

Therefore, the mean value is -$0.1667 (or -$0.17 rounded to the nearest cent).

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Answer:

\(m=4\) or \(m=\frac{4}{1}\)

Step-by-step explanation:

To find slope we use the slope formula

\(m=\frac{y_{2} -y_{1} }{x_{2} -x_{1} }\)

Two points on the line we can classify are (3,4) and (4,8)

Answer:

1/2

Step-by-step explanation:

12 / 24 = 1/2

Answer:

12/24

Step-by-step explanation:

use the stander rise over run since the rise is 12 it goes over the run which is 24

Answer:

x = 7

x = 5

Step-by-step explanation:

\(\sqrt{x^2-4x-5}=2x-10\)

We square both sides to get rid of the square root.

\((\sqrt{x^2-4x-5})^2=(2x-10)^2\)

\(x^2-4x-5=(2x-10)^2\)

We know (a + b)^2 = a^2 + 2ab + b^2 so now the right side becomes,

\(x^2-4x-5={(2x)^2-2(2x)(10)+(10)^2}\\\)

\(x^2-4x-5=4x^2-40x+100\\\)

Now move everything to the right side,

\(4x^2-x^2-40x+4x+100+5=0\\3x^2-36x+105=0\\\)

Now we can take 3 common ,

\(3(x^2-12x+35)=0\\x^2-12x+35=0\)

now this is a simple quadratic equation, we can use two methods.

1) Quadratic formula

2) Factorize

We use the factorizing method,

we need two numbers when multiplied give us +35 and when added give us -12 so the numbers are -7 and -5 because -7 x -5 = +35 and

- 7 - 5 = -12

\(x^2-7x-5x+35=0\)

\(x(x-7)-5(x-7)=0\\(x-7)(x-5)=0\\x-7=0 \ \ \ , \ \ \ x-5=0\\x=7 \ \ \ \ \ \ \ \ , \ \ \ \ x=5\)

Answer:

f(g(2)) = 50

Step-by-step explanation:

evaluate g(2) then substitute the result obtained into f(x)

g(2) = 3(2) - 2 = 6 - 2 = 4 , then

f(4) = 2(4 + 1)² = 2(5)² = 2(25) = 50

Answer:

f[g(2)] = 50

Step-by-step explanation:

Given functions:

\(f(x)=2(x+1)^2\)

\(g(x)=3x-2\)

We are asked to determine f[g(2)], which is known as a composite function. When solving composite functions, you always work inside out.

Step 1: Find the value of g(2) by substituting 2 for x in function g(x).

\(\implies g(2)=3(2)-2\)

\(\\\implies g(2)=6-2\Rightarrow g(2)=\boxed{4}\)

Step 2: Substitute the found value into the composite function.

\(\\\implies f[g(2)]= 2(4+1)^2\)

\(\implies f[g(2)] = 2(5)^2 \Rightarrow 2(25) \Rightarrow \boxed{50}\)

Hence, the value of the composite function f[g(2)] is 50.

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Answer:

(25/3) or 8.3333 . . . .

Step-by-step explanation:

We will assume this question want to know the sum of 8 and 1/3.

We could convert the (1/3) into a decimal format:  0.3333333 . . . and add the two:

  8.3333333 . . . .

We could also kee the answer as a fraction:

 6 = (24/3)

(24/3) + (1/3) = (25/3)

(25/3) is the same as 8.333333 . . .

The original Length is, 6500 m.

Length is the term used for identifying the size of an object or distance from one point to the other.

Given that 6% of a length is 390 m

Let original length be a

Therefore,  6% of a = 390

a*6/100 = 390

a = 390*100/6

a = 6500

Hence, The original Length is, 6500 m.

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Answer: 11

Step-by-step explanation: replace x for 3 and solve.

\(L(x,y)=f(a,b)+f_x'(a,b)(x-a)+f_y'(a,b)(y-b)\\\\f(x,y)=x+yx\\(a,b)=(1,6)\\\\f(1,6)=1+6\cdot1=7\\f'_x(x,y)=1+y\\f'_x(1,6)=1+6=7\\f'_y(x,y)=x\\f'_y(1,6)=1\\\\L(1,6)=7+7\cdot(x-1)+1\cdot(y-6)\\L(1,6)=7+7x-7+y-6\\L(1,6)=7x+y-6\)

Answer:

\(x=60\degree\)

Step-by-step explanation:

Consecutive angles of a parallelogram are are supplementay.

\( \implies \: x + 2x = 180 \degree \\ \\ \implies \: 3x = 180 \degree \\ \\ \implies \: x = \frac{ 180 \degree }{3} \\ \\ \implies \: x =60 \degree\)

Answer:

y=1x-5

Step-by-step explanation:

Step-by-step explanation:

See image

Answer: the eight term is 8/243

Step-by-step explanation:

Each term in this geometric sequence is equal to the previous term, divided by 3.

72,24, 8

a = 72, r = 1/3

a = first term, r is common ratio

tn = ar^n-1

t8 = 72÷ 3^8–1

t8 = 72÷ 3^7

= 72/ 3^7

= 8/243

The measure of angle D in triangle DEF can be found using trigonometry. By applying the tangent function, we can determine that the measure of angle D is approximately 41 degrees.

In triangle DEF, we are given that angle F is a right angle (90 degrees), FD has a length of 3.3 feet, and DE has a length of 3.9 feet. To find the measure of angle D, we can use the tangent function.

Tangent is defined as the ratio of the length of the side opposite an angle to the length of the side adjacent to it. In this case, we can use the tangent function with respect to angle D.

The tangent of angle D is equal to the ratio of the length of side DE (opposite angle D) to the length of side FD (adjacent to angle D). Thus, tan(D) = DE / FD.

Substituting the given values, we have tan(D) = 3.9 / 3.3. Using a calculator or a trigonometric table, we can find the value of D to be approximately 41 degrees to the nearest degree. Therefore, the measure of angle D in triangle DEF is approximately 41 degrees.

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Answer:

1 and 7

2 and 8

Step-by-step explanation:

consecutive exterior angles theorem- a theorem stating that if parallel lines are cut by a transversal line, then consecutive exterior angles are supplementary. Like 1 and 7(they are both exterior angles); these angles are both right angles, so added together would make them a pair of supplementary angles.

supplementary angles- a pair of angles that add up to 180 degrees when added together.

I hope this helps

Not performing qualitative tests in duplicate can introduce certain risks and potential issues:

False positives: Without duplicate testing, there is a higher risk of obtaining false positive results. False positives occur when a test incorrectly indicates the presence of a particular characteristic or condition. Duplicate testing helps verify the accuracy and reliability of the results, reducing the chances of false positives.

False negatives: Similarly, not performing qualitative tests in duplicate increases the risk of false negatives. False negatives occur when a test fails to detect a characteristic or condition that is actually present. Duplicate testing provides an additional opportunity to identify any missed detections and reduces the likelihood of false negatives.

Variability and uncertainty: Qualitative tests can be subject to variability due to factors such as sample preparation, test conditions, or interpretation. Duplicate testing helps assess the consistency and reproducibility of the results, providing a measure of confidence and reducing uncertainty.

Quality control issues: Duplicate testing is an essential component of quality control protocols. It helps ensure the reliability and accuracy of the testing process and minimizes the potential for errors or inconsistencies. Not performing duplicate tests can compromise the overall quality control procedures, leading to compromised data and unreliable conclusions.

Validation and reproducibility: Duplicate testing is often required for validation purposes and to demonstrate the reproducibility of results. It helps establish the robustness and reliability of the testing method. Without duplicate testing, it becomes more challenging to validate and reproduce the results, which can undermine the credibility of the findings.

In summary, not performing qualitative tests in duplicate increases the risks of false positives, false negatives, variability, uncertainty, quality control issues, and challenges in validation and reproducibility. Duplicate testing plays a crucial role in ensuring the accuracy, reliability, and validity of qualitative test results.

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Answer:

90

Step-by-step explanation:

Why cant people just answer questions without guessing or answer them correctly.

The correct answer would be C. rectangle!

Explanation:

When someone is asking for the cross-section shape, they are basically asking for you to cut the shape up (where the 2d figure is) and imagine what the shape would be. For example, if you cut a rectangular prism in half and see what shape it is, it would show a rectangle! This was difficult for me when I first learned it, you'll get the hang of it when you get more practice:)!

Answer:

Step-by-step explanation:

Probability of P.B.J. : milk : cookie being picked is; 1:12

Twelve possible combos one is P.B.J. : milk : cookie

Answer:

w = 80

Step-by-step explanation:

Common geometry math

a) Yes. (b)           G        Y        R

   G  [0.60     0.00     0.40]

   Y  [1.00     0.00     0.00]

   R  [0.30     0.20     0.50]

(c) P(G, G, G, G) = 0.216. P(G, G, G, Y)= 0.144. P(G, G, G, R) = 0.120. P(G, G, Y, R) = 0.000. P(G, Y, R, R) = 0.000. P(Y, R, R, R) = 0.000

(a) Yes, this situation represents a Markov chain because the probabilities of moving to the next state (traffic light) depend only on the current state (traffic light) and not on any previous states.

(b) The transition probability matrix is:

         G        Y        R

   G  [0.60     0.00     0.40]

   Y  [1.00     0.00     0.00]

   R  [0.30     0.20     0.50]

where G represents green, Y represents yellow, and R represents red. The transition diagram can be drawn with arrows between states labeled with the transition probabilities.

(c) There are two classes: {G, Y} and {R}, where {G, Y} is a transient class and {R} is an absorbing class.

(d) Starting with the first light being green, the probabilities after three more lights are:

P(G, G, G, G) = 0.60 * 0.60 * 0.60 = 0.216

P(G, G, G, Y) = 0.60 * 0.60 * 0.40 = 0.144

P(G, G, G, R) = 0.60 * 0.40 * 0.50 = 0.120

P(G, G, Y, R) = 0.60 * 0.00 * 0.50 = 0.000

P(G, Y, R, R) = 0.00 * 0.50 * 0.30 = 0.000

P(Y, R, R, R) = 0.00 * 0.50 * 0.50 = 0.000

The interpretation of these probabilities is, for example, that the probability of passing through four consecutive green lights is 0.216, and the probability of passing through three consecutive green lights followed by a yellow light is 0.144.

(e) Let p_G, p_Y, and p_R be the proportions of green, yellow, and red lights, respectively. Then we have the system of equations:

0.60 p_G + 0.00 p_Y + 0.40 p_R = p_G

1.00 p_Y + 0.00 p_Y + 0.00 p_R = p_Y

0.30 p_G + 0.20 p_Y + 0.50 p_R = p_R

p_G + p_Y + p_R = 1

Solving this system of equations, we get:

p_G = 0.44

p_Y = 0.14

p_R = 0.42

Therefore, approximately 44% of the street lights are green, 14% are yellow, and 42% are red.

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Answer: A

Step-by-step explanation: I would say A because the angle is greater than 90 degrees

Answer:

We have supplementary angles.

76 + 3x + 2 = 180

3x + 78 = 180

3x = 102

x = 34

The two numbers with a difference of 10 and the minimum product are -10 and 0. The minimum product is 0.

Torque can be calculated if the moment of inertia and angular acceleration are known.

Torque is defined as the rotational equivalent of force. It is a vector quantity with units of Newton-meters (Nm) in the SI system. Torque causes an object to rotate around an axis or pivot point.

Angular acceleration is defined as the rate of change of angular velocity over time. It is a vector quantity with units of radians per second squared (rad/s²) in the SI system. Angular acceleration causes an object to change its rotational speed or direction of rotation.

The Formula for Torque

The formula for torque is given as follows:

\(Torque = Moment of Inertia x Angular Acceleration\)

In this formula,

torque is represented by the symbol τ,

moment of inertia by I,

and angular acceleration by α.

The SI unit for moment of inertia is kgm², and the unit for angular acceleration is rad/s².

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Answer:

\(h = G + \frac pf\)

Step-by-step explanation:

\(G = h - \frac pf \text{ / Add }\frac pf \text{ to both sides}\\\\G + \frac pf = h - \frac pf + \frac pf\\\\G + \frac pf = h\)