Question is attached PLS HELP!​

The solution of the given equation 2a + 1 / 6 + a/2 = a-1/3 is a = -1

In this question, we have been given an equation.

\(\frac{2a+1}{6}+\frac{a}{2} = \frac{a-1}{3}\)

We need to find the solution of given equation.

\(\Rightarrow \frac{2a+1}{6}+\frac{a}{2} = \frac{a-1}{3}\\\\\Rightarrow \frac{2(2a+1)+6a}{12}=\frac{a-1}{3}\\\\\Rightarrow \frac{4a+2+6a}{12}=\frac{a-1}{3}\\\\ \Rightarrow \frac{10a+2}{4}=a-1\\\\\Rightarrow 10a+2=4a-4\\\\\Rightarrow 6a=-6\\\\\Rightarrow a=-1\)

We need to check above solution.

Substitute a = -1 in LHS of given equation.

2a + 1 / 6 + a/2

= [2(-1) + 1 / 6] + [-1/2]

= (-1/6 - 1/2)

= -(4/6)

= -2/3

Substitute a = -1 in RHS of given equation.

a-1/3

= (-1 - 1)/3

= - 2/3

So, LHS = RHS

Therefore, the solution of the given equation 2a + 1 / 6 + a/2 = a-1/3 is      a = -1

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Answer:

5/2

Step-by-step explanation:

tan&= 2/5(p/b)

here,

p=2,b=5

cot&=b/p

=5/2

The value of mean, variance and covariance matrix is illustrated in following solution as

\(V(\frac{X}{X'} )=\left[\begin{array}{ccc}\frac{1}{12} &\frac{1}{12} \\\frac{1}{12} &\frac{4}{45} \\\end{array}\right]\)

The mean vector consists of the means of each variable and the variance-covariance matrix consists of the variances of the variables along the main diagonal and the covariances between each pair of variables in the other matrix positions. with \bar{x} and \bar{y} denoting the means of X and Y, respectively.

Mean and variance is a measure of central dispersion. Mean is the average of given set of numbers. The average of the squared difference from the mean is the variance. Central dispersion tells us how the data that we are taking for observation are scattered and distributed.

To find the mean, variance and covariance matrix of a random vector

\(\left[\begin{array}{ccc}X\\X'\\\end{array}\right]\) X~ U(0,1)

\(E(X')=\int\limits^1_0 {r} \, dr = \frac{1}{r+1}\)

where, r = 1 , 2, 3...

Now,

\(E(X) = \frac{1}{2}\\ \\E(X^2) = \frac{1}{3}\\ \\E(X^3) =\frac{1}{4}\\\)

\(E(X^4)=\frac{1}{5}\)

So, cov(X , X') =

\(E(X^3)-E(X).E(X')\\\\=\frac{1}{4} -\frac{1}{2}.\frac{1}{3}\\ \\ =\frac{1}{12}\)

\(Var(X) = E(X^4) -E'(X')\\\\\frac{1}{5}-\frac{1}{9}\\ \\ \frac{4}{45}\)

Hence,

\(V(\frac{X}{X'} )=\left[\begin{array}{ccc}\frac{1}{12} &\frac{1}{12} \\\frac{1}{12} &\frac{4}{45} \\\end{array}\right]\)

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The given question is incomplete, complete question is:

suppose y follows a γ(α, β) distribution. find the mean and variance covariance matrix of the random vector x x2 , where x

Answer:

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Step-by-step explanation:

The answer to the simplified expression 4⁹/4³ in index form is derived to be equal to 4⁶

To simplify a fraction written in index form, you can first express the numbers in prime factorization form by writing both the numerator and denominator as a product of prime factors. Identify common prime factors in the numerator and denominator and cancel them out. Then write the remaining factors as a product in index form.

Given the fraction 4⁹/4³, we can simplify as follows:

4⁹/4³ = (4 × 4 × 4 × 4 × 4 × 4 × 4 × 4 × 4)/(4 × 4 × 4)

we can cancel out (4 × 4 × 4) from both the numerator and denominator, living us with;

4⁹/4³ = 4 × 4 × 4 × 4 × 4 × 4

4⁹/4³ = 4⁶

Therefore, the answer to the simplified expression 4⁹/4³ in index form is derived to be equal to 4⁶

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Answer: True.

Step-by-step explanation:

do the math and u will see

No, The segments shown below could not form a triangle.

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

Three line segment with measure 9 , 4 and 15 are shown.

We know that;

The sum of two sides of a triangle are always greater than the third side,

Here, 9 + 4 = 13 < 15

Hence, The segments shown below could not form a triangle.

Thus, The segments shown below could not form a triangle.

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Answer:

search on chrome 4 mor answer mwa mwa

Step-by-step explanation:

Answer:

\(a \: 3x - 6 \\ b \: 2y + 8 \\ c \: 8x + 24\)

Step-by-step explanation:

All we have to do is multiply accordingly. I'll use a for an example.

So for the value before the perentheses we multiply that by all of the values in the perentheses.

\(3x \: and \: - 6\)

So the correct answer would be

\(3x - 6\)

You can use the same strategy for all the questions, but I'll just answer those straight away.

Also you may notice I put the variable before the constant in question c because the variable should always go before the constant in expressions and equations.

Answer:

Step-by-step explanation:

x+10=0

x=-10

so vertex is (-10,-105)

Answer:

x^2 - 14x + 49

Step-by-step explanation:

(x - 7)^2 is equivalent to (x - 7)(x - 7), which in turn is x^2 - 14x + 49

Answer:

8

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

48/6=8

Answer:

Step-by-step explanation:

Here you go mate

Step 1

3-(23+(4-213-(6-2)   Equation/Question

Step 2

3-(23+(4-213-(6-2)   Simplify

3(23+(-213)

Step 3

3(23+(-213)  Add and multiply

-570

Answer

-570

Hope this helps

Answer:

the answer is -570

hope this helps

x= - 0.9, y=2.9

Or

x= 2.9, y= -0.9

Hope this helps!

Answer:

817 10^-3

Step-by-step explanation:

58/71

0.817

817 10^-3

Answer:

0.82

Step-by-step explanation:

The question asks to change 58/71 to a decimal, then round it off to the nearest hundredst.

To change it to a decimal, divide the denominator(71) by the numerator(58)

71/58=0.81690

Then, round off to the nearest hundrest place would be to a number in which the numbers after a decimal would form a fraction with the denominator being 100 that number would be 0.81(ignore every digit after the third number after the decimal place)

if you left the answer like this, it would be wrong. You have to consider the number after the 'rounded off decimal' which is 6. If the number is 5 or higher, add 1 to the previous number.

6 is higher than 5, so we round it off as 1

hence= 0.816 ... 0.8(+1)

Hope this  helps

Answer:

If you know the measure of one angle in a linear pair, you can find the measure of the other because the sum of the measure of the two angles is 180 degrees. If you know the measure of one angle in a pair of vertical angles, you can find the measure of the other because they are congruent.

Option (C) The results suggest that the use of seat belts is associated with lower fatality rates than not using seat belts. is correct.

a. The null and alternative hypotheses for the hypothesis test are:

H0: p1 = p2  and H1: p1 > p2 where p1 represents the population proportion of fatalities for occupants not wearing seat belts and p2 represents the population proportion of fatalities for occupants wearing seat belts.

b. The test statistic is z = 7.474. (Round to two decimal places as needed)

c. The P-value is <0.001. (Round to three decimal places as needed) The conclusion based on the hypothesis test is that there is sufficient evidence to support the claim that seat belts are effective in reducing fatalities. Since the P-value is less than the significance level of α = 0.01, we reject the null hypothesis and conclude that there is a significant difference in the fatality rates of occupants who were wearing seat belts and those who were not wearing seat belts.

The appropriate confidence interval is (0.009, 0.020). (Round to three decimal places as needed) The conclusion based on the confidence interval is that the fatality rate is lower for occupants wearing seat belts than those not wearing seat belts. Since the confidence interval does not contain 0, we can reject the null hypothesis that there is no difference in fatality rates between the two groups of occupants and conclude that there is a statistically significant difference in fatality rates between the two groups of occupants.

The results suggest that the use of seat belts is associated with lower fatality rates than not using seat belts. Therefore, option (C) The results suggest that the use of seat belts is associated with lower fatality rates than not using seat belts. is correct.

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Answer:  Selling price, x, = 8.3333 units

Step-by-step explanation:

We can find the vertex by one of two methods:

1)  Take the derivative of the equation and set it to zero.  The derivative gives us the slope at any point x.  The vertex has a slope of zero (it changes direction).

y=-6x^2 + 100x– 180

y' = -12x + 100

0 = -12x + 100

12x = 100

x = 8.333

2) Graph the function and locate the vertex.  Attached.

The vertex of the parabola is (8.33, 236.66).

A plane curve produced by a moving point such that its separation from a fixed point equals that of a fixed line is a parabola.

Given, the expression;

y = -6x² +100x - 180,

where x = selling price of each soccer ball and y = daily profit from soccer balls.

A parabola's vertex is the location where its symmetry line and parabola intersect.

To find the vertex of a parabola:

Step  1: Compare the equation of the parabola with the standard form

y = ax² + bx + c.

By comparing,

y = -6x² +100x - 180 with the above equation, a = -6, b = 100, and c =-180.

Step - 2: Find the x-coordinate of the vertex using the formula,

h = -b/2a

Then we get,

h = -(100) / (2 × -6)

h = 8.33

Step - 3: To find the y-coordinate (k) of the vertex,

substitute x = h in the expression, y = -6x² +100x - 180.

Then k = -6(8.33 x 8.33) + 100(8.33) -180

k = 236.66

Step - 4: Write the vertex (h, k) as an ordered pair.

The vertex = (h, k) = (8.33, 236.66).

Therefore, (8.33, 236.66) is the vertex of the parabola.

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Answer:

wrong

Step-by-step explanation:

10 /5 = 2

5/10 = 0.5

Answer:

3/7

Step-by-step explanation:

Answer:

Step-by-step explanation:

So I'm assuming you meant to type f(t) = 1000(1.03)^t

and assuming t is in years, we let t = 0.25, therefore 1000(1.03)^0.25

= 1.00741707178, then subtracting 1000 (assuming that is the original money), we get approx = 0.007 of whatever currency

Answer:45.36 FEET PER SECOND GET IT IG

Step-by-step explanation:

The most accurate determination for the number of feet per second Tyrone traveled on his way to work is D. 45.36 feet per second

Given the parameters:

time= 58.2 minutes

distance= 30 miles

Therefore, we would convert and solve:

(30*5280)/58.2*60

=158400/582*6

=158400/3492

=45.36per sec

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The rate of change in function 2 is greater. So Option B is correct.

The change in y between any two points is equal to the difference between their y-coordinates.

The change in x between any two points is equal to the difference between their x-coordinates. The rate of change of the function is the ratio of the change in y to the change in x.

Function 1:

Using the first and second points in the table, we get:

Change in y = 8 - 6 = 2

Change in x = 1 - 0 = 1

Rate of change = 2/1 = 2

Using the second and third points in the table, we get:

Change in y = 10 - 8 = 2

Change in x = 2 - 1 = 1

Rate of change = 2/1 = 2

Therefore, the rate of change of Function 1 is 2.

Function 2:

The rate of change of Function 2 is equal to its slope, which is the coefficient of x. So, the rate of change of Function 2 is 3.

Therefore, the rate of change of Function 2 is greater than the rate of change of Function 1.

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Dante's Commedia consists of three books, each containing 33 cantos, for a total of 100 cantos.

The Commedia is a famous literary work by Dante Alighieri, an Italian poet from the 14th century. It is divided into three books: Inferno, Purgatorio, and Paradiso. Each book consists of 33 cantos, making a total of 100 cantos in the entire work.

Inferno is the first book and depicts Dante's journey through Hell. It starts with Dante being guided by the Roman poet Virgil and encountering various sinners and punishments in the different circles of Hell.

Purgatorio is the second book and portrays Dante's ascent up Mount Purgatory, where souls undergo purification to reach Heaven. In this book, Dante is guided by Virgil and later by Beatrice, his beloved.

Paradiso is the final book and represents Dante's ascent to Heaven. In Paradiso, Dante is guided by Beatrice and encounters various heavenly spheres, learning about theology, cosmology, and the nature of God's love.

Each book explores different themes, symbolism, and allegorical representations. Dante's Commedia is renowned for its vivid imagery, complex allegories, and its profound exploration of moral, spiritual, and philosophical themes.

In conclusion, Dante's Commedia consists of three books, each containing 33 cantos, for a total of 100 cantos. It is a monumental work of Italian literature that delves into the realms of Hell, Purgatory, and Heaven, offering a rich exploration of various themes and ideas.

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Answer:

C.50

Step-by-step explanation:

It would be 50 because there are 2 sides to the coin. So if you take 100/2 you get 50. that would be the best estimate answer in my opinion

Number of times the coin will land heads will be 50

Number of trials or observation when each trial has the same probability of attaining one particular value. It determines the probability of observing a specified number of successful outcome in a specific number of trial.

Here , number of times the coin had tosses: 100

P(probability of getting a head in a coin ) : number of time head can come when flipped once / total number of observations

 since , head can come once and there are two possibility either head or tail

hence P= 1/2

this implies number of times heads land up = n*P = 100 *(1/2) = 50

option c) 50

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Answer: Option A.

Step-by-step explanation:

The association can be found as the quotient between the elements with a given characteristic and the total number of elements.

For example, in option A we have:

A. Females prefer drama movies.

There are 72 females who like drama movies, and there is a total of 126 females, the quotient is:

Q = 72/126 = 0.57

This is the relative frequency of females who like's drama movies

Then the relative frequency table will be something like:

Males:

who prefer comedy: Q = 45/125 = 0.36

who prefer drama: Q = 15/125 = 0.12

who prefer thriller: Q = 65/125 = 0.52

Females:

who prefer comedy: Q = 36/126 = 0.29

who prefer drama: Q = 72/126 = 0.57

who prefer thriller: Q = 18/125 = 0.14

Now we want to answer, which one of the given options has the strongest association.

As larger is the value Q, larger is the association.

We can clearly see that, from the given options, the strongest association is for females who prefer drama, then the correct option is A.

Option A

Step-by-step explanation:

i got it right on me test

The equation of the tangent plane of \(\(z = x^y\) at \((2, 3, 8)\)\) is \(\(z = 24x - 16y + 8\)\). Using this equation, we approximate \(\((2.001)^{2.97}\)\) to be approximately 8.504.

To find the equation of the tangent plane, we need to determine the partial derivatives of \(\(z\)\) with respect to \(\(x\)\) and  \(\(y\)\)  at the given point\(\((2, 3, 8)\).\)

Step 1: Calculate the partial derivative of \(\(z\)\) with respect to \(\(x\)\):

\(\(\frac{{\partial z}}{{\partial x}} = yx^{y-1}\)\)

Step 2:Calculate the partial derivative of\(\(z\)\) with respect to \(\(y\)\):

\(\(\frac{{\partial z}}{{\partial y}} = x^y \ln(x)\)\)

Step 3: Evaluate the partial derivatives at the point\(\((2, 3, 8)\)\):

\(\(\frac{{\partial z}}{{\partial x}}(2, 3) = 3 \cdot 2^{3-1} = 12\)\)

\(\(\frac{{\partial z}}{{\partial y}}(2, 3) = 2^3 \ln(2) = 8 \ln(2)\)\)

The equation of the tangent plane can be expressed as:

\(\(z - z_0 = \frac{{\partial z}}{{\partial x}}(x - x_0) + \frac{{\partial z}}{{\partial y}}(y - y_0)\)\)

Substituting the values \(\((x_0, y_0, z_0) = (2, 3, 8)\)\) and the partial derivatives, we get:

\(\(z - 8 = 12(x - 2) + 8 \ln(2)(y - 3)\)\)

Simplifying the equation:

\(\(z = 24x - 16y + 8\)\)

Approximating \(\((2.001)^{2.97}\)\)using the equation of the tangent plane:

Substitute \(\(x = 2.001\)\) and \(\(y = 2.97\)\) into the equation \(\(z = 24x - 16y + 8\)\) to approximate the value of  \(\(z\)\):

\(\(z \approx 24(2.001) - 16(2.97) + 8\)\)

Calculating the approximate value of \(\(z\)\\\):

\(\(z \approx 48.024 - 47.52 + 8\)\)

\(\(z \approx 8.504\)\)

therefore,The equation of the tangent plane of \(\(z = x^y\) at \((2, 3, 8)\)\) is \(\(z = 24x - 16y + 8\)\). using this equation, we approximate \(\((2.001)^{2.97}\)\) to be approximately 8.504.

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Solution

To solve this problem, we only need to equate and solve for H

A number cube has six numbers, from 1 to 6, with one number on each face.

Since the number cube is fair, the probability of each number being rolled is the same.

So, to find the probability of one specific number being rolled, we just need to divide 1 by the total amount of numbers:

The probability of rolling a 2 is the same as rolling any other number, therefore the probability is 1/6.

Finding the union of the sets A and C is the first step in solving P(A U C). Since set C only contains the number 6, the union of A and C has the elements 1, 2, 3, 4, and 6. A U C thus equals 1, 2, 3, 4, and 6.

The power set of A U C, which comprises all conceivable subsets of 1, 2, 3, 4, and 6, must then be located. If all conceivable subsets are listed, the power set of A U C, designated as P(A U C), will be discovered.

P(A U C) = { {}, {1}, {2}, {3}, {4}, {6}, {1,2}, {1,3}, {1,4}, {1,6}, {2,3}, {2,4}, {2,6}, {3,4}, {3,6}, {4,6}, {1,2,3}, {1,2,4}, {1,2,6}, {1,3,4}, {1,3,6}, {1,4,6}, {2,3,4}, {2,3,6}, {2,4,6}, {3,4,6}, {1,2,3,4}, {1,2,3,6}, {1,2,4,6}, {1,3,4,6}, {2,3,4,6}, {1,2,3,4,6}}.

There are 31 subsets in the power set P(A U C) that result from the union of sets A and C.

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Answer:

0.5

Step-by-step explanation:

That's the answer cheif

Answer:

12.5%

Step-by-step explanation:

I did 20/2.5, and got 8. That means there are 8 groups of 2.5 inside 20.

Then, I did 100/8 to represent the percentage.

I got 12.5%.