Line p and line q are ______

Answer:

x = 122°

Step-by-step explanation:

There is remote angle( non- adjecent angle) and their sum equal to the exterior angle .

Exterior angle is an angle formed from one side of the polygone and the extended side so

<A and <B are remot angle and <BCD is exterior angle .

And we write the equetion as

<A + <B = <BCD

58° + 64° = x°

122° = X°

so the exterior angle ( x ) measures 122° .

The probability of hitting the black circle inside the target is close to 0, and the probability of hitting the white portion is close to 1.

Given:

The square's length is 10 units.

The circle's diameter is equal to two units.

To Determine:

It is necessary to determine the probability that the target's white section and black circle will both be hit.

Solution:

The square's area is 10 x 10 or 100 units.

The shaded circle's area is given by  πr² = 3.14 (1)² = 3.14 units.

The white area has a surface area of (100 - 3.14) = 96.86 units.

Probability of an event = The number of favorable events /Total number of events

The probability that it will occur in the shaded area = 3.14/100 = 0.0314  (The probability is close to 0).

The probability of hitting the white section is equal = 96.86/100= 0.9686.

(The probability is quite near to 1)

Hence, the probability of hitting the black circle inside the target is close to 0, and the probability of hitting the white portion is close to 1.

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The simplified form of the expression as given in the task content is; 12.

The expression given in the task content can be simplified by means of PEMDAS guidelines as follows;

3 – (−2) + |−7|

= 3 +2 +7

= 12.

Hence the simplified form of the expression is 12.

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By trigonometric formula, the trigonometric function sec (5π / 6) has the exact value - 2√3 / 3.

In this problem we find the case of a trigonometric function, whose exact value can be found by means of trigonometric formula and tables of values:

sec θ = 1 / cos θ

sec (5π / 6) = 1 / cos (5π / 6)

sec (5π / 6) = - 1 / cos (π / 6)

sec (5π / 6) = 1 / (- √3 / 2)

sec (5π / 6) = - 2 / √3

sec (5π / 6) = - 2√3 / 3

The exact value of the trigonometric function sec (5π / 6) is equal to - 2√3 / 3.

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Total number of students ⇢ 15

Average score ⇢95

Maximum score⇢100

Lowest score ⇢ 'x'

For finding the lowest score, we'll assume that rest of the students apart from the student with the lowest score ,scored 100

so,

Thus, the value of x

\( ⇢\frac{x + (14 \times 100)}{15} = 95 \\ \)

\( ⇢\frac{x + 1400}{15} = 95 \\ \)

\( ⇢x + 1400 = 95 \times 15 \\ \)

\( ⇢x + 1400 = 1425 \\ \)

\( ⇢x = 1425 - 1400 \\ \)

\(⇢x = \: 25\)

Hence, the lowest possible score a student can get is 25

The 15 students in Miss Brown's class took a test.

The average for the class was 95 points.

The maximum possible score was 100 points.

Let 14 students get 100 marks on the test. And one student gets x marks.

Then the value of x will be

\(\small\bold\pink{ →}\small\bold{ x + \frac{1400}{15} = 95}\)

\(\small\bold\pink{ →}\small\bold{x + 1400= 1425}\)

\(\small\bold\pink{ →}\small\bold{x = 25}\)

The lowest scored a student in this class is 25.

Answer:

1/4

Step-by-step explanation:

divide numerator and denominator by 3

Answer:

\(\dfrac{x}{2} = 18.8\)

Step-by-step explanation:

Let x represent the number Dan was thinking about.

Half of the number, x = 18.8

Therefore, when x is divided by 2, the result is 18.8

The equation which can be formed with the given information is therefore;

\(\dfrac{x}{2} = 18.8\)

Answer:

x=1

Step-by-step explanation:

First, we distribute the 3 to the 8 and the 4x.

Now we have 24-12x=12

Then, we subtract 24 from 12

Now we have -12x=-12

Finally, we devide -12 by -12

Now we have x=1

Hope that helps!

Step-by-step explanation:

wapsi ki Vidya kya hai Hindi mein

The probability that the reimbursement is greater than 3000 but less than 9000, given that the loss exceeds the deductible, is 0.2355.

We are given that the loss under a liability policy is modeled by an exponential distribution. This means that the amount of the loss that exceeds the deductible follows an exponential distribution.

The insurance company will cover the amount of the loss in excess of a deductible of 2000. So, we are interested in calculating probabilities related to the reimbursement amount (Y) given that the loss exceeds the deductible.

We are given that the probability that the reimbursement is less than 6000, given that the loss exceeds the deductible, is 0.50. Mathematically, this can be expressed as:

P(Y ≤ 6000 | X > 0) = 0.50

where X is the amount of the loss that exceeds the deductible.

Using the memoryless property of the exponential distribution, we can rewrite the probability as:

P(X ≤ 4000) = 0.50

This is because P(Y ≤ 6000 | X > 0) is equivalent to P(X ≤ 4000) since the deductible is 2000.

From the given probability, we can determine the parameter λ of the exponential distribution. We have:

P(X > 2000) = e^(-λ*2000) = 0.5

Solving for λ, we find:

λ = ln(0.5)/(-2000) ≈ 0.00034657

Now, we want to calculate the probability that the reimbursement is greater than 3000 but less than 9000, given that the loss exceeds the deductible:

P(3000 < Y ≤ 9000 | X > 0)

Using the memoryless property, we can rewrite this as:

P(X > 1000) - P(X > 7000)

Substituting the value of λ we found earlier, we have:

P(3000 < Y ≤ 9000 | X > 0) = e^(-λ1000) - e^(-λ7000)

Plugging in the value of λ, we can calculate the probability:

P(3000 < Y ≤ 9000 | X > 0) ≈ e^(-0.34657) - e^(-2.426) ≈ 0.3226 - 0.0871 ≈ 0.2355

Therefore, the probability that the reimbursement is greater than 3000 but less than 9000, given that the loss exceeds the deductible, is approximately 0.2355.

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The slope of the new road is zero.

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx where, m is the slope

Given:

Take points from the Graph (5, 0) and (5, 4).

Slope of a line = m = tanθ

where θ is the angle made by the line with the x−axis.

For a line parallel to y−axis ,θ= π/2.

​

∴m = tan π/2 = undefined

The new road will therefore have 0° of inclination if it is perpendicular to D street because if they are perpendicular and D street is vertical, the new road is level and has 0° of inclination.

An horizontal line now has zero slope.

The new road has a zero slope as a result.

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The solution to the equation is x = -2, -1.46, -1, x = 5.46

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

0 = x^{5}+x^{4}-20x^{3}-68x^{2}-80x-32

Express properly

So, we have

x^5 + x^4 - 20x^3 -68x^2 -80x - 32 = 0

Next, we plot the graph of x^5 + x^4 - 20x^3 -68x^2 -80x - 32 = 0 to determine the solution graphically

See attachment for graph

From the graph, we have

x = -2, -1.46, -1, x = 5.46

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But the diamerter equals d, so 6.

Answer:

its 6

Step-by-step explanation:

because your finding the diameter.

Answer: The Modern Language Association of America, often referred to as the Modern Language Association, is the principal professional association in the United States for scholars of language and literature. The MLA aims to "strengthen the study and teaching of language and literature".

Step-by-step explanation:

Answer:

84 degrees

Step-by-step explanation:

To find the measure of angle a you must first find m<CED. To do this remember every triangle has a measure of 180.

180-(43+35)=102, that means m<CED=102. Also m<CED=m<AEB because they are vertical angles. So now do the same operation but for the other triangle 180-(102+18)=84. So m<A=84.

Answer:

Step-by-step explanation:

when the result is good researcher should do to add another volunteers

when the result is not good they need to stop and make a new sample

When the results are positive, the researcher should recruit more volunteers. They must stop and make a new sample if the outcome is not satisfactory.

The process of making choice is by identifying the correct decision, gathering information, and assessing alternative solutions.

A researcher tests a new drug on a small sample of five volunteers. After determining the results of the experiment.

When the results are positive, the researcher should recruit more volunteers.

They must stop and make a new sample if the outcome is not satisfactory.

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To calculate the slope between 2 points we use the following equation:

Replacing the points:

In this case, when we find an infinite slope, it means that it is a line parallel to the Y axis. All parallel lines have the same slope.

For the perpendicular case, the slope is equal to:

For the perpendicular case, the slope is zero and would equal one parallel to the X axis.

Answer:

Step-by-step explanation:

The question is asking us to find the slope.

First, we will find the slope of the line that passes through (4,8) and (4,6).

We'll use the slope formula:

\(\bf{m=\dfrac{y_2-y_1}{x_2-x_1}}\)

Plug in the data :

\(\bf{m=\dfrac{6-8}{4-4}}\)

\(\bf{m=\dfrac{-2}{0}}\)

\(\bf{m=not\:de fined}\)

If a line's slope is not defined, then it's a vertical line:

                                       \(\rule{1}{350}\)

------

Now, what is the slope of a line that's parallel to the one above? Well, since parallel lines have equal slopes, that one will have an undefined slope too.

As for perpendicular lines, they have slopes that are negative reciprocals of each other. We got that the slope is -2/0. The negative reciprocal of that is 0/2, which simplifies to 0.

Alternatively, you could look at it this way: a horizontal line (a line with zero slope) is perpendicular to a vertical line. So the slope of that line is m = 0.

\(\rule{350}{1}\)

Answer:

A) 3cm and 1.75cm

Step-by-step explanation:

To determine whether or not these are proportional, take the two side lengths that are given and create a ratio. 6cm:3.5cm. I suggest writing this in fraction form to better see the equivalency. If you divide both 6cm and 3.5 cm by 2, you create an equivalent ratio of 3 cm:1.75cm. This is answer A. There is another correct answer too! If you take 6cm:3.5cm and multiple both by 1.5, it will create an equivalent ratio of 9cm:5.25 cm (answer choice E), just in a different order.

The value of q is -27.

Recall Vieta's Formulas, which state that for a quadratic equation \(ax^2\) + bx + c = 0 with zeroes alpha and beta, the sum of the zeroes is equal to -b/a, and the product of the zeroes is equal to c/a.

In our equation \(x^2\) - 3x + q, the sum of the zeroes alpha and beta is -(-3)/1 = 3.

We are given that 2 alpha + 3 beta = 15. Substitute alpha = (15 - 3 beta)/2 into the equation.

Replace the value of alpha in the sum of zeroes equation: (15 - 3 beta)/2 + beta = 3.

Simplify the equation by multiplying both sides by 2: 15 - 3 beta + 2 beta = 6.

Combine like terms: 15 - beta = 6.

Subtract 15 from both sides: -beta = -9.

Multiply both sides by -1 to solve for beta: beta = 9.

Substitute the value of beta into the sum of zeroes equation: alpha = (15 - 3 * 9)/2 = -3.

Since we have the values of alpha and beta, we can find q using the product of the zeroes formula: q = alpha * beta = -3 * 9 = -27.

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Answer:

(0,0) (3,2) and (-2,-2) (4,2)

Step-by-step explanation:

To find the slope, you do \(\frac{y_{1}-y_{2} }{x_{1}-x_{2}}\), which would work for both.

2-0/3-0=2/3

2-(-2)/4-(-2)=2+2/4+6=2/3

Answer:  4 2/3

Step-by-step explanation:

14/3 is an improper fraction. Let's take the numerator and divide it by the denominator.

Divide 14 by 3. The quotient digit is 4.

Multiply the quotient digit 4 by the divisor 3.

Subtract 12 from 14.

The result of 14 divided by 3 is 4 with a remainder of 2.

Thus, 14/3 as a mixed number can be written as 4 2/3.

14/3 as it can't further cut out.

Because in a mixed number it is 4 2/3. This can be expressed as a fraction by multiplying the whole number (4) by the denominator (3) and adding it to the numerator (2), giving a fraction of 14/3.

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Every student is unique and different from each other so its not possible to  to provide an accurate estimate of the number of study hours a student would need to have a 50% chance of obtaining an A in the class.

To determine the number of hours a student needs to study to have a 50% chance of getting an A in the class, we require more information about the context and the factors influencing the student's grade.

The number of hours needed to achieve a desired grade depends on various factors, including the student's current level of understanding, the difficulty of the course material, their study habits, and the grading criteria of the class.

In general, to estimate the number of hours needed, it would be helpful to consider historical data or consult with the instructor or academic resources to understand the average study time required to achieve an A in the class.

Without specific information regarding the aforementioned factors, it is not possible to provide an accurate estimate of the number of hours a student would need to study to have a 50% chance of obtaining an A in the class.

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Answer:

1/4

Step-by-step explanation:

Possible outcomes from rolling the cube that satisfy the "greater than 3" criterion are {4, 5, 6}  out of a total of six possibilities {1, 2, 3, 4, 5, 6}.  Thus, the probability of rolling a number greater than 3 is 3/6, or 1/2.

Probability of flipping heads is 1/2.

These are entirely independent events.  Thus, the joint probability is (1/2)(1/2), or 1/4.

The journal entries to record the above transactions to calculate the profit and loss can be summarized as follows:

The journal entries for the above transactions are as follows:

1. Initial setup:

  Dr. Partner A's Capital (Equity)      $120,000

  Dr. Partner B's Capital (Equity)       $80,000

     Cr. Partnership Net Book Value         $200,000

2. Adjustment for fair value:

  Dr. Partnership Net Book Value        $20,000

     Cr. Unrealized Gain on Revaluation   $20,000

3. Investment by Partner C:

  Dr. Cash (Asset)                                $45,000

     Cr. Partner C's Capital (Equity)             $45,000

The initial setup entry reflects the original partnership net book value of $200,000. It debits Partner A's capital with 60% ($120,000) and Partner B's capital with 40% ($80,000) of the net book value.

The adjustment entry accounts for the difference between the recorded net assets' fair value ($220,000) and the net book value ($200,000). The partnership net book value is increased by $20,000, representing the unrealized gain on revaluation.

The investment entry records Partner C's acquisition of a 20% interest in the partnership capital for $45,000 cash. Cash is debited, and Partner C's capital account is credited with the investment amount.

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Answer:

90

Step-by-step explanation:

I took the quiz

To derive the least-squares fit for the model y = a1x + a2x^2 with a zero intercept, we need to minimize the sum of squared residuals. Let's denote the observed data points as (xi, yi) for i = 1 to n.

The objective is to find the values of a1 and a2 that minimize the following sum of squared residuals:

SSR = ∑(yi - (a1xi + a2xi^2))^2

To find the minimum, we differentiate SSR with respect to a1 and a2 separately and set the derivatives equal to zero.

Partial derivative with respect to a1:

∂SSR/∂a1 = -2∑(yi - (a1xi + a2xi^2))*xi = 0

Partial derivative with respect to a2:

∂SSR/∂a2 = -2∑(yi - (a1xi + a2xi^2))*xi^2 = 0

Expanding the above equations:

∑(yixi) - a1∑(xi^2) - a2∑(xi^3) = 0 ------ (1)

∑(yixi^2) - a1∑(xi^3) - a2∑(xi^4) = 0 ------ (2)

Now, let's solve these equations to find the values of a1 and a2.

From equation (1):

a1∑(xi^2) + a2∑(xi^3) = ∑(yi*xi) ------ (3)

From equation (2):

a1∑(xi^3) + a2∑(xi^4) = ∑(yi*xi^2) ------ (4)

We can express equations (3) and (4) in matrix form as:

| ∑(xi^2) ∑(xi^3) | | a1 | = | ∑(yixi) |

| ∑(xi^3) ∑(xi^4) | | a2 | = | ∑(yixi^2) |

Solving this system of linear equations will give us the values of a1 and a2.

Once a1 and a2 are determined, we have the least-squares fit of the model y = a1x + a2x^2 with a zero intercept.

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Answer:

A) 27

Step-by-step explanation:

\( \frac{16}{16 + 12} = \frac{63 - ?}{63} \)

➡️ \( \frac{4}{7} = \frac{63-? }{63}\)

➡️ \(63 - ? = 36\)

➡️ \(? = 27\)

Thus, if M = $1.5 trillion, V = 7, and P = 1.05, the real output of the economy (Q) is $10 trillion.

The equation of exchange is an economic equation that relates the money supply (M) with the price level (P), the velocity of money (V), and the real output of the economy (Q). The equation is M x V = P x Q.

Using the given values of M = $1.5 trillion, V = 7, and P = 1.05, we can solve for Q by rearranging the equation as Q = M x V / P.

Plugging in the numbers, we get:

Q = ($1.5 trillion x 7) / 1.05 = $10 trillion

Therefore, if M = $1.5 trillion, V = 7, and P = 1.05, the real output of the economy (Q) is $10 trillion.

It's worth noting that the equation of exchange is a theoretical model and may not reflect actual economic conditions. In practice, changes in any one of the variables (M, V, P, or Q) can affect the others, and there may be other factors at play that influence the economy.

Nonetheless, the equation of exchange provides a useful framework for thinking about the relationship between the money supply, prices, and economic activity.

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Complete question

in the equation of exchange, if m = $1.5 trillion, v = 7, and p = 1.05, then:

Find real output.

a conditional expression is essential in recursive algorithms to control the termination of recursion and ensure the algorithm converges to a solution.

Recursive algorithms are designed to solve problems by breaking them down into smaller, simpler subproblems and repeatedly applying the same algorithm to those subproblems. However, without a conditional expression to define a termination condition, the algorithm would continue to make recursive calls indefinitely, resulting in an infinite loop and eventually running out of resources.

The conditional expression serves as the stopping criterion for the recursion. It typically checks if a certain condition is met, indicating that the base case has been reached or that further recursion is no longer needed. When the condition evaluates to true, the recursion stops, and the algorithm returns a result or performs a final computation.

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Answer:

Solve for b: b = 6 - a

Solve for a:  a = 6 - b

Step-by-step explanation:

There are two ways we can solve this, solve for a and solve for b.

Lets solve for b first

\(4-b=2-a\)

Add 4 on both sides

\(b=2-a+4\)

Simplify

\(b=6-a\)

Now lets solve for a

\(4-b=2-a\)

Flip the equation

\(2-a=4-b\)

Add 2 on both sides

\(a=4-b+2\)

Simplify

\(a=6-b\)

The parametric representation for the part of the cylinder y2 z2 = 81 that lies between the planes x = 0 and x = 1 is 0 <= u <= 1

Let x = u

y = r cos (v)

z = r sin (v)

y² + z² + r² = 9²

r = 9

Therefore, c = 9 sin v

0 <= x <= 1

x = u.

Therefore

0 <= u <= 1

The correct option is 0 <= u <= 1.

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