Please help!!


On an assignment,

there are two true or false questions. You have no idea what the correct answer is to either one so you guess.


a. What is the probability that you get both of them right by

guessing? Explain your answer.


b. What is the probability that you get exactly one of them right by guessing?

The Marginal Rate of Substitution (MRS) measures the rate at which a consumer is willing to trade one good for another while keeping utility constant. In general terms, the MRS can be determined by taking the ratio of the marginal utility of one good to the marginal utility of the other.

The Marginal Rate of Substitution (MRS) is a concept used in microeconomics to analyze consumer behavior and preferences. It quantifies the amount of one good a consumer is willing to give up in exchange for another, while maintaining the same level of satisfaction or utility.

To find the MRS in general terms, we can consider a specific utility function and differentiate it with respect to the quantities of the two goods. Let's assume the utility function is U(x, y), where x represents the quantity of one good and y represents the quantity of another. The MRS can be calculated as the ratio of the marginal utility of good x (MUx) to the marginal utility of good y (MUy): MRS = MUx/MUy.

The marginal utility represents the additional utility derived from consuming an additional unit of a good. By calculating the derivatives of the utility function with respect to x and y, we can obtain the marginal utilities. The MRS formula allows us to understand how the consumer values the goods relative to each other and how they are willing to trade off one good for another while maintaining constant satisfaction.

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Answer:

D. (z) = (x − 3)¹ – 2​

Step-by-step explanation:

To determine which transformation of the parent square root function will result in the given domain and range, we need to consider the effects of the transformations on the function.

The parent square root function is given by f(x) = √x.

Let's analyze each option and see if it satisfies the given conditions:

A. j(x) = (x + 2)³ + 3

This transformation involves shifting the graph 2 units to the left and 3 units up. However, this does not change the domain of the function, so it does not satisfy the given domain condition.

B. k(x) = (z + 3) – 2

This transformation involves shifting the graph 3 units to the left and 2 units down. Again, this does not change the domain of the function, so it does not satisfy the given domain condition.

C. g(x) = (x − 2)³ + 3

This transformation involves shifting the graph 2 units to the right and 3 units up. However, this does not change the range of the function, so it does not satisfy the given range condition.

D. z(x) = (x − 3)¹ – 2

This transformation involves shifting the graph 3 units to the right and 2 units down. This shift does not affect the domain of the function, but it affects the range. The function z(x) = (x − 3)¹ – 2 starts at y = -2 when x = 3, and it increases as x goes to infinity. Therefore, it satisfies both the given domain and range conditions.

Based on the analysis, the correct transformation that satisfies the given domain and range is option D:

z(x) = (x − 3)¹ – 2

chatgpt

a) Very unlikely (1/30)

b) Unlikely (6/30)

c) Likely (15/30)

mark me brainliestt :))

Answer: 7.07

Step-by-step explanation:

The cost of 5 tickets at the same rate is $35

From the question, we have that Mohammed bought 3 tickets for $21. This can be written as:

To get the cost of 5 tickets at the same rate, we can write:

Divide both equations to have:

\(\frac{3}{5} = \frac{21}{x}\)

Cross multiply

\(3x = 5 \times 21\\3x = 105\\x = \frac{105}{3}\\x=35\)

Hence the cost of 5 tickets at the same rate is $35

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Complete question:

Mohammed went to a different movie theater where the relationship between the number of tickets and cost was not proportional. He noticed 3 tickets cost $21.  

How much might 5 tickets cost if the relationship is NOT proportional?

Answer : 6048

mulitply it I guess

Answer:

6048 is your answer

Step-by-step explanation:

Your answer is 6048 because after multiplying these numbers together via calculator you will see that the answer is 6048, my work is shown below

4x3=12

12x3=36

36x2=72

72x2= 144

144x6=864

864x7=6048

Thus that is how I found that the answer is 6048

%, a relative figure signifying hundredths of any amount. Before the raise, I was making $45,000.

A percentage that represents a tenth of a quantity. In essence, percentages are fractions with a denominator of 100. The percent symbol (%) is placed next to a number to indicate that it is a percentage. For instance, you would have received a 75% on the examination if you correctly answered 75 out of 100 questions (75/100).

Calculating a percentage involves dividing an item by its sum and multiplying the result by 100.

Considering the query

It was $52,200 after a 16% raise in my pay.

In light of the conditions stated, come up with

\($=\frac{52200}{1+16 \%}$$=\frac{52200}{1+0.16}$$=\frac{52200}{1.16}$$=\frac{5220000}{116}$\)

= $45000

Before the raise, I was making $45,000.

Therefore, the answer is $45,000.

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Statistics computed for larger random samples tend to be less variable compared to statistics computed for smaller random samples.

This statement is based on the concept of the Central Limit Theorem (CLT) in statistics. According to the CLT, as the sample size increases, the distribution of the sample mean approaches a normal distribution regardless of the shape of the population distribution. This means that the variability of the sample mean decreases as the sample size increases.

The variability of a statistic is commonly measured by its standard deviation or variance. When working with larger random samples, the individual observations have less impact on the overall variability of the statistic. As more data points are included in the sample, the effects of outliers or extreme values tend to diminish, resulting in a more stable and less variable estimate.

In practical terms, this implies that estimates or conclusions based on larger random samples are generally considered more reliable and accurate. Researchers and statisticians often strive to obtain larger sample sizes to reduce the variability of their results and increase the precision of their statistical inferences.

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Let x represent Alex's number.

Then Grogg wrote down 1/10 · x = x/10 = 0.1x.

Winne write down 1/100 · x = x/100 = 0.01x

The product of all three is:

    (x)(0.1x)(0.01x) = 0.001x^3

     0.001x^3 = 0.000008

Multiplying by 1000 on both sides we have:

              x^3 = 0.008

                 x = cuberoot(0.008)

                 x = 0.2

Alex's number is 0.2, Grogg's is 0.02, and Winnie's is 0.002.

Grace read 4/7 of the book at night.

To solve this problem, we need to use the fractions to calculate the amount of the book that Grace read in the morning and the amount of the book that she read at night.

The total amount of the book that Grace read in the day is 1/3 + 2/5 = 7/15.

Since she read 1/3 of the book in the morning, then the amount of the book that she read at night is 7/15 - 1/3 = 4/15.

To calculate the amount of the book that she read at night as a fraction of the total book, we need to divide 4/15 by 7/15.

4/15 ÷ 7/15 = 4/7

Therefore, Grace read 4/7 of the book at night.

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Answer:

Weeks thats easy man

Step-by-step explanation:

if she sells 38 books we get that

she earns $89

Answer:

Step-by-step explanation:

You want to find all three solutions to the equation x³ -4x² -4x +5 = 0.

The 2 changes in signs of the coefficients from left to right tells you there are 2 or 0 positive real roots. (Descartes' rule of signs.) Negating odd-degree terms and checking again tells you there is one negative real root.

The y-intercept is +5, and the left-side value at x=1 is -2. This tells you all of the roots are real, and one of them is between x=0 and x=1.

If the roots were rational, they would be ±1 or ±5, factors of the constant. None of these is a root, so we know all of the roots are irrational.

The good news is that we can find them a couple of ways:

The formula for the "next guess" (x') in the iterative process using Newton's method is ...

  x' = x -f(x)/f'(x)

where x is a root of f(x) = 0, and f'(x) is the first derivative of f(x).

We like to do this iteration using an interactive graphing calculator, because it can show us the next value of x even as we are typing the current value of x. In the attachment, the function f₁(x) is the iteration function. When its value is the same as its argument, we have found a solution. A good starting value is the x-intercept shown on the graph.

The solutions using Newton's method iteration are shown at the top of this answer, and in the attachment.

There is a relatively simple way to solve a cubic using trig functions that goes like this:

  f(x) = x³ +ax² +bx +c = 0

  p = -a/3

  q = b -a²/3

  r = a(2a² -9b)/27 +c

  d = √(-4q/3)

  h = 4r/d³

roots are ...

  x = p + d·sin(arcsin(h)/3 +{-2π/3, 0, 2π/3}) . . . . . angles in radians

This will give the same result as above, in terms of trig functions of rational numbers. The trig functions themselves will be irrational.

(This is not a formulation you are likely to see in school. Something like it may show up in a math handbook. It really only works if there are 2 or 3 real roots, otherwise the trig functions have complex values.)

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Options

Answer:

(B) DE, EF, and DF are all different lengths, and the slopes of DE and EF opposite reciprocals.

Step-by-step explanation:

Given a triangle DEF

To prove that it is a right scalene triangle, we must show that two of its sides are perpendicular. This is done by showing that the slopes of two adjacent sides are opposite reciprocals.

In a scalene triangle, no side length is equal to another. Therefore, all the sides  DE, EF, and DF are not equal in length.

The correct option is B.

Answer:

B. DE, EF, and DF are all different lengths, and the slopes of DE and EF opposite reciprocals.

Step-by-step explanation:

I took the test and the answer was B

Answer:

x=11

Step-by-step explanation:

because a each angle of a square or rectangle is 90° which means you add 9 to 90 and then divided 99 by 9 which is 11

Answer:

x = 11

Step-by-step explanation:

9x - 9 = 90

    + 9  + 9

9x = 99

9x/9  99/9

x = 11

Answer:

Step-by-step explanation:

\(81-39\\\\\mathrm{Line\:up\:the\:numbers}\\\begin{matrix}\space\space&8&1\\ -&3&9\end{matrix}\\\mathrm{In\:the\:bolded\:column,\:subtract\:the\:second\:digit\:from\:the\:first}\\\begin{matrix}\space\space&8&\textbf{1}\\ -&3&\textbf{9}\end{matrix}\\\\\mathrm{The\:bottom\:number\:is\:larger\:than\:the\:upper\:number.\:\:Try\:to\:'borrow'\:a\:digit\:from\:the\:left.}\\\\\mathrm{Borrow\:}1\mathrm{\:from\:}8\mathrm{.\:\:The\:remainder\:is\:}7\\\)\(\begin{matrix}\space\space&\textbf{7}&10\\ \space\space&\textbf{\linethrough{8}}&1\\ -&\textbf{3}&9\end{matrix}\\\\\mathrm{Add\:}1\mathrm{\:ten\:to\:}1:\quad \:10+1=11\\\begin{matrix}\space\space&7&\textbf{11}\\ \space\space&\linethrough{8}&\textbf{\linethrough{1}}\\ -&3&\textbf{9}\end{matrix}\\\\\mathrm{In\:the\:bolded\:column,\:subtract\:the\:second\:digit\:from\:the\:first}:\quad \:11-9=2\\\)

\(\frac{\begin{matrix}\space\space&7&\textbf{11}\\ \space\space&\linethrough{8}&\textbf{\linethrough{1}}\\ -&3&\textbf{9}\end{matrix}}{\begin{matrix}\space\space&\space\space&\textbf{2}\end{matrix}}\\\mathrm{In\:the\:bolded\:column,\:subtract\:the\:second\:digit\:from\:the\:first}:\quad \:7-3=4\\\\\frac{\begin{matrix}\space\space&\textbf{7}&11\\ \space\space&\textbf{\linethrough{8}}&\linethrough{1}\\ -&\textbf{3}&9\end{matrix}}{\begin{matrix}\space\space&\textbf{4}&2\end{matrix}}\)

Answer:

"HL" in geometry typically refers to "Hypotenuse-Leg". This term is often used when talking about right-angled triangles, where the hypotenuse is the longest side, opposite the right angle, and the legs are the two shorter sides adjacent to the right angle.

Answer:

x=3

Step-by-step explanation:

using the pythagorean theorem, c^2=a^2+b^2

5^2=x^2+4^2, x=3

Answer:Three is the right answer I just finished

Step-by-step explanation:

Answer:

The answer is 52

Step-by-step explanation:

This problem is perimeter so you add 11 plus 11 plus 15 plus 15 to get 52.

The value of x is 20 units.

The correct answer is 20 units .

According to the triangle,

ST = 9, TQ = 16 and RQ = x

From similar triangles,

Δ SRQ ⩭ Δ STR ------(1)

{∵ RT 丄 Hypotenuse SQ}

Δ SRQ ⩭ Δ RTQ ------(2)

{∵ Δ SRQ, Δ STR and Δ RTQ are similar triangles}

⇒ SR/ST = SQ/SR = RQ/TR

⇒ SR/9 = 25/SR = x/TR

⇒ SR2 = 25 × 9

⇒ SR = 5 × 3 = 15

\(SR^2\) + \(RQ^2\) = \(SQ^2\)

\(RQ^2 = SQ^2 - SR^2\)

\(RQ^2 = 25^2 - 15^2\)

RQ = x = √(625 - 225) = √400

x = 20 units.

Hence, The value of x is 20 units.

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The complete question is this:

What is the value of x?

12 units, 15 units, 20 units, 24 units

If the discount is 75% so the new price of the product will be 0.25P.

Discount is the state of having a bond's price lower than its face value. The difference between the purchase price and the item's par value is the discount.

Discounts are several types of price reductions or deductions from a product's cost. It is frequently employed in consumer transactions when consumers receive discounts on a range of goods. The % discount rate is provided.

Discount is the reduced amount on the MRP of any product. So we will give the less amount than the MRP of the product.

Here the discount on P is given as 75% so the price of the product now becomes P-0.75P;

The expression will be calculated as:

P-0.75P=0.25P

Hence If the discount is 75% so the new price of the product will be 0.25P.

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Answer:

divide the distance from the Sun to  Mars  by the distance from the Sun to earth,

Step-by-step explanation:

(60,421,000+92,955,807) /92,955,807 = 1.64999

approx 1.65 times as far to the Earth from the Sun as it is to Mars from the sun  

Answer:

Step-by-step explanation:

76.4

Answer:

x = 9

Step-by-step explanation:

First step, divide both sides by pi to get rid of it entirely; you should be left with x - 8 = 1 (because when you divide a value by itself, you always get 1, so pi divided by pi gives you 1)

Second step, add 8 to both sides, leaving you with x = 9

The solution for the equation is,

1. x = 2 and y = 1

2. no solution,

3. y = 0 and x = 11

4. x = 4/3 and y = 10/3

When an algebraic equation is graphed, it always results in a straight line since each term in a linear equation has an exponent of 1. For this reason, it is referred to as a "linear equation."

There are both one-variable and two-variable linear equations.

Given sets of equations,

1. x - y = 1

x + y = 3

add both the equations we get,

x - y + x + y = 1 + 3

2x = 4 (+y and -y eliminated)

x = 4/2 = 2

substitute value of  x

x + y = 3

2 + y = 3

y = 3 - 2 = 1

x = 2 and y = 1

2.  x + y = 1

x + y = 11

the equation has no solution because In this case, the two lines representing the equations are parallel to each other.

3. x + 4y = 11

x - 6y = 11

since both equations have the common constant for x we can subtract the equations,

x + 4y -(x - 6y) = 11 - 11

4y + 6y = 0

y = 0 and x = 11

4. -3x + 3y = 6

6x + 3y = 18

subtract equation 1 from 2

6x + 3y -(-3x + 3y) = 18 - 6

6x - 3y + 3x - 3y = 12

9x = 12

x = 12/9 = 4/3

substitute value of x

-3x + 3y = 6

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

-4 + 3y = 6

y = 10/3

Hence the solution is 1. x = 2 and y = 1

2. no solution,

3. y = 0 and x = 11

4. x = 4/3 and y = 10/3.

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Answer:

y = -4x + (-3)      or       y = -4x - 3,

Step-by-step explanation:

So the symbol would be negative (-). The rest of the equation is constructed by adding the slope which is -4x to the y intercept which is -3

From the given Bayesian network, we can verify the conditional independence relationships using the Markov random field (MRF) graph as follows:

The conditional independence relationship where b is (marginally) independent of e can be verified from the MRF graph. In the MRF graph, if there is no direct edge between nodes b and e, it implies that b and e are conditionally independent. This is because in an MRF, the absence of an edge between two nodes indicates conditional independence.

The conditional independence relationship where b is independent of e given f can also be verified from the MRF graph. If, in the MRF graph, there is a path from b to e that does not go through f, it implies that b and e are independent given f. This is because in an MRF, the existence of a path that does not go through a specific node signifies conditional independence between the nodes at the endpoints of the path.

However, the conditional independence relationship where b is independent of e given (h, k, and f) cannot be directly verified from the MRF graph. The MRF graph does not provide specific information about the relationship between b and e when conditioned on multiple variables like (h, k, and f). To determine this conditional independence relationship, additional information or specific conditional probability distributions would be required.

In summary, the conditional independence relationships involving b and e, such as b being (marginally) independent of e and b being independent of e given f, can be verified from the Markov random field graph. However, the conditional independence relationship involving b being independent of e given (h, k, and f) cannot be directly verified from the MRF graph without additional information.

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