Pretest: Using Probability to Make Decisions
Drag each value to the correct location on the tree diagram. Not all values will be used.
$50 $24 $78.4
$34 $54.4 $45.9
$50.4
store's transactions
expected value per transaction:
32%
transactions made without a store card
transactions made with a store card
average transaction value: $75
expected value per transaction:
IT
average transaction value: $80
expected value per transaction:
75%
transactions made with another credit card
average transaction value: $90
submit
transactions made with cash or gift cards
average transaction value:

There is no Nash equilibrium in pure strategies because neither player has a strategy that maximizes their expected payoff.

(A) The modified payoff matrix for the matching pennies game with the updated losing payoffs is as follows:

         Player 2

         Heads (H)     Tails (T)

Player 1  +1, -1        -6, +6

Heads (H)

Tails (T) -10, +10      +1, -1

(B) The diagrams showing each player's pair of expected payoff lines and the other player's equilibrium decision probability are as follows:

Player 1's Expected Payoff Line:

H      T

Probability:  p1     1-p1

Expected Payoff:  p1(-6) + (1-p1)(+1)

Player 2's Expected Payoff Line:

H      T

Probability:  p2     1-p2

Expected Payoff:  p2(-10) + (1-p2)(+1)

The equilibrium decision probability for each player will be the value that maximizes their expected payoff. In this case, player 1 will choose heads (H) with probability p1* and player 2 will choose tails (T) with probability p2*.

(C) To calculate the numerical values of the Nash equilibrium probabilities (p1*, p2*), we need to find the values that maximize each player's expected payoff.

For player 1:

Expected Payoff = p1(-6) + (1-p1)(+1)

= -6p1 + 1 - p1 + p1

= -5p1 + 1

To maximize this expected payoff, we set the derivative equal to zero:

d/dp1 (-5p1 + 1) = -5 = 0

-5 = 0 (No solution)

For player 2:

Expected Payoff = p2(-10) + (1-p2)(+1)

= -10p2 + 1 + p2 - p2

= -9p2 + 1

To maximize this expected payoff, we set the derivative equal to zero:

d/dp2 (-9p2 + 1) = -9 = 0

-9 = 0 (No solution)

There is no Nash equilibrium in pure strategies because neither player has a strategy that maximizes their expected payoff.

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At STP (standard temperature and pressure), the molar volume of an ideal gas is 22.4 L/mol. To calculate the grams of Ne (neon) gas in 25.0 L, we first need to find the moles of Ne gas and then convert it to grams using its molar mass.

1. Find moles of Ne:
25.0 L Ne * (1 mol Ne / 22.4 L) = 1.1161 mol Ne

2. Convert moles to grams:
Ne has a molar mass of 20.18 g/mol.
1.1161 mol Ne * (20.18 g/mol) = 22.51 g Ne

Answer: There are 22.51 grams of Ne contained in 25.0 L of Ne gas at STP.

Part B:
To find the volume in liters occupied by 32.0 g of Ar (argon) gas at STP, we first need to find the moles of Ar gas and then convert it to volume using the molar volume at STP.

1. Find moles of Ar:
Ar has a molar mass of 39.95 g/mol.
32.0 g Ar * (1 mol Ar / 39.95 g) = 0.8010 mol Ar

2. Convert moles to volume:
0.8010 mol Ar * (22.4 L/mol) = 17.94 L Ar

Answer: 32.0 g of Ar gas occupies 17.94 liters at STP.

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Estimated change = 11.98 - Objective function value with a right-hand side of 9

To determine how much the objective function is expected to change when the right-hand side of the constraint is increased from 8 to 9, we need to calculate the shadow price or dual value associated with that constraint.

In the given problem:

Objective function: Minimize 3X^2 - 22X + 2XY + Y^2 - 16Y + 60

Constraint: X + 5Y ≤ 8

To find the shadow price or dual value, we can solve the problem using linear programming techniques. However, without access to the specific methodology or algorithm used to solve the problem, I am unable to provide an exact solution or calculate the shadow price accurately.

However, if we assume that the linear programming problem has been solved, and the optimal solution for the original problem with a right-hand side of 8 is X = 3.08 and Y = 0.98, with an optimal objective function value of 11.98, we can estimate the change in the objective function value.

The estimated change in the objective function value can be calculated by subtracting the optimal objective function value with the new right-hand side (9) from the original optimal objective function value (11.98).

Estimated change = 11.98 - Objective function value with a right-hand side of 9

Please note that without access to the specific methodology used to solve the problem or the actual shadow price/dual value, this calculation is an estimation based on the provided information.

To obtain the actual change and re-solve the problem with a new right-hand side of 9, I would need the specific linear programming methodology used to solve the problem or more details on the specific algorithm employed.

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Answer:

A

Step-by-step explanation:

7x + 2x = 9x

5y-27 = 3y

9x + 3y

Hope this Helped

Brainliest is appreciated.

Answer: A. 9x + 3y

Step-by-step explanation:

For simplifying variable expressions, what you should do is to combine like terms.

Solve:

Given

7x+2x+5y-2y

Combine [x]

=(7x+2x)+5y-2y

=9x+5y-2y

Combine [y]

=9x+(5y-2y)

Answer:

the answer is false

Step-by-step explanation:

(i used calculator and that's what it said i dont know if that's what you wanted hope it helps!)

Answer:

Below

Step-by-step explanation:

Use similar triangles (see image below )

6 ft is to 7 ft as  T   is to 42 ft

6/7 = T / 42

42*6/7 = T = 36 feet tall

Given :

Liam has a bag of b beads.

He gives 20 beads to his sister.

He then makes 4 necklaces with the same of beads on each necklace using all of the remaining beads.

To Find :

Write an expression that represents the number of beads on each necklace.

Solution :

Number of necklace remains after giving 20 beads to his sister is ( b - 20 ).

Number of beads on each necklace using all of the remaining beads  is :

\(N=\dfrac{b-20}{4}\)

Hence, this is the required solution.

Measures of variability describe diversity in a distribution.

Measures of variability describe the spread or dispersion of values in a distribution. They provide information about how spread out or clustered the data points are. Common measures of variability include the range, variance, and standard deviation.

Measures of central tendency, on the other hand, describe the center or average of a distribution. They provide information about the typical or central value around which the data points are located. Common measures of central tendency include the mean, median, and mode.

Standard deviation is a specific measure of variability that quantifies the average amount by which data points in a distribution deviate from the mean. Association refers to the relationship or connection between two or more variables in a dataset, often analyzed using correlation or regression analysis. It is not a measure of diversity in a distribution.

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Answer:

Veinte para las dos

Step-by-step explanation:

twenty till 2

hope it helps!

Answer:

\(m\angle 1=67^{\circ}\)

Step-by-step explanation:

By the inscribed angle theorem, \(m\angle 1=21^{\circ}+46^{\circ}=67^{\circ}\).

The total number of the outcomes will be 12. The table is shown below with all the outcomes.

A sample is a group of clearly specified components. The number of items in a finite sample is denoted by a curly bracket.

Julie went to visit her aunt and uncle for the weekend.

She took the following clothes:

two pairs of slacks – one brown, one black;

three sweaters – one tan, one red and one white;

two shirts – one white and one gray.

Then the total number of the outcomes will be

Total outcomes = 2 x 3 x 2

Total outcomes = 12

The table is shown below with all the outcomes.

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Answer:

15 rooms

Step-by-step explanation:

18/6 = 3 so multiply 3 times 5 and that equals 15!

Answer:

15 rooms.

Step-by-step explanation:

since they can clean 5 rooms in 6 hours, and it's asking how many rooms they can clean in 18 hours:

5/6=x/18

solve for x:

6x=90

x=15

Or you could've just multiplied 5 by 3 since 6(3)=18.

Answer:

2 hrs and 32 mins

Step-by-step explanation:

Step 1. Because Inez worked more we are going to start by subtracting the the minutes. 23-51= -28.

Step 2. Now we move on to the hours. 7-4= 3. Know we know that the hour time is going to be three. But wait!

Step 3. Because we can't have negative numbers, we need to subtract some more. 60-28= 32. Now I know that my minutes will be 32.

Step 4. But because we used a negative number we have to subtract another hour from our time.

Answer: 2 hrs and 32 mins

Hope this helps!

Answer:

C (-3, 2)

Step-by-step explanation:

If you look at the picture you uploaded, you rotated the image 90° counter clockwise. Look at the coordinate where it is now located, which is (-3, 2).

Although the x coordinates say positive on the left side they are really negative.

Also a 90° rotation counter clockwise takes the opposite of y and then switches the x and y coordinates.

(2, 3) -------> (2, -3) --------> (-3, 2)

The argument of a complex number z, denoted as arg z, is the angle between the positive real axis and the line connecting the origin to z in the complex plane.

When z is a positive real number, its argument is 0, and when z is a negative real number, its argument is π radians. However, arg z is undefined at 0 because the angle between the positive real axis and any line passing through the origin is not well-defined. This is because the argument function is discontinuous at 0, meaning that the limit of the argument as z approaches 0 from different directions does not exist. For example, the argument of a complex number approaching 0 from the positive real axis is 0, while the argument of a complex number approaching 0 from the negative real axis is π. Therefore, arg z is not continuous at 0 and is undefined at this point.

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Answer:

Yes, (-3, -9) is a solution.

Step-by-step explanation:

y = 3x   (-3,-9)

-9 = 3(-3)

-9 = -9

Answer:

D . what is the number sentence?

Answer:

Step-by-step explanation:

50.594

204.3251

47.1138

The decision for values of χ^2 obt close to 0 will depend on the level of significance and should be made in the context of the specific hypothesis being tested and the available evidence.

If the obtained value of chi-squared (χ^2 obt) is close to 0, it suggests that the observed data is not significantly different from the expected data. This means that the null hypothesis, which assumes that there is no significant difference between the observed and expected data, is likely to be accepted.

However, the decision whether to accept or reject the null hypothesis also depends on the level of significance (alpha) chosen for the test. If the level of significance is low, even a small difference between the observed and expected data can lead to the rejection of the null hypothesis. On the other hand, if the level of significance is high, a larger difference between the observed and expected data may be required to reject the null hypothesis.

Therefore, the decision for values of χ^2 obt close to 0 will depend on the level of significance and should be made in the context of the specific hypothesis being tested and the available evidence.

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When the values of χ 2 obt close to 0, the decision is likely to be that the null hypothesis cannot be rejected.

The chi-square test is a statistical test used to determine whether an observed distribution of categorical data varies significantly from an expected distribution. It is utilized to investigate the association between two or more categorical variables, and the test evaluates the likelihood of the observed frequencies of each category of data based on the expected frequency of that data.The Chi-Square DistributionThe chi-square distribution is a collection of distributions that are used to describe data that have a characteristic called degrees of freedom. The degrees of freedom are calculated using the number of categories minus 1 in the categorical variable being tested.

The distribution is always positive and right-skewed, with the majority of the distribution situated in the right tail. When the values of χ 2 obt close to 0, the decision is likely to be that the null hypothesis cannot be rejected.

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Therefore,  subscript indices must be either positive integers or logical. True

Explanation: The statement "subscript indices must be either positive integers or logicals" is true. Subscript indices are used to identify elements in an array. A positive integer subscript identifies a particular element in an array, while a logical subscript identifies a subset of elements based on a logical condition. For example, if we have an array A, then A(1) would identify the first element of the array, while A(A > 0) would identify all elements in the array that are greater than zero. Subscript indices cannot be negative or non-integer values.

Therefore,  subscript indices must be either positive integers or logical. True

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Answer:

a  75x+165=y

b  75(3)+165=390

c   75x is the cost increasing for each hour

d  y-intercept=165, it cost at least 165 for the parts

Step-by-step explanation:

A binomial probability distribution with p = 0.3 is c. positively skewed.

A binomial probability distribution with p = 0.3 is positively skewed. This means that the distribution is skewed to the right. In a binomial distribution, the skewness is determined by the value of p, which represents the probability of success in each trial. When p is less than 0.5, as in this case (p = 0.3), the distribution tends to be positively skewed.

The correct answer is c. positively skewed.

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There are 5,113,368 ways to choose 12 ice-creams from the friendly ice-cream store, given the conditions that we must buy at least 2 chocolate and 3 raspberry ice-creams.

To solve this problem, we can break it down into a few steps:
Step 1: Choose 2 chocolate ice-creams. There are 7 varieties of ice-cream, but we only need to worry about the chocolate ones for now. We must choose 2 chocolate ice-creams, and there are plenty of each variety, so this can be done in 1 way.
Step 2: Choose 3 raspberry ice-creams. We must choose 3 raspberry ice-creams, but we only have 7 left. This means we must choose all 7 raspberry ice-creams, and then choose 2 more ice-creams from the remaining 5 varieties. We can do this in $\binom{5+2}{2} = \binom{7}{2} = 21$ ways.
Step 3: Choose 7 more ice-creams. We have already chosen 2 chocolate and 3 raspberry ice-creams, which leaves us with 7 more to choose. We can choose these from any of the 7 varieties, and there are plenty of each variety, so this can be done in $7^{7}$ ways.
Step 4: Multiply the possibilities from each step. To get the total number of ways to choose 12 ice-creams satisfying the given conditions, we need to multiply the number of possibilities from each step. So the total number of ways is:
$1 \cdot 21 \cdot 7^{7} = \boxed{5,\!113,\!368}$
Therefore, there are 5,113,368 ways to choose 12 ice-creams from the friendly ice-cream store, given the conditions that we must buy at least 2 chocolate and 3 raspberry ice-creams.

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Answer:

i think it woulod be b personally cause it sounds trust worthy

Step-by-step explanation:

Answer:

Maybe A

Step-by-step explanation:

Answer:

21

Step-by-step explanation:

Well you basically divide 3 and 1/2 by 1/6 which you would you have to simplify the 3 and 1/2 which is 7/2 and switch the denominator and numerator of the 1/6 which would be 6/1 and after you multiply(7/2 x 6/1=42/2) it would be 42/2 which you would have to simplify by dividing 42 and 2 which is 21. There you go I hope this helps.

Answer:

21.

Step-by-step explanation:

That would be  3 1/2 divided by 1/6.

= 7/2 / 1/6

= 7/2 * 6

= 42/2

= 21 glasses.

The instructional designer should use the procedure of "Confidence interval for a single proportion" to make the estimate of the proportion of learners who use Firefox as their primary browser.  (option 3)

This procedure allows for the estimation of the true proportion of the population within a certain level of confidence based on a sample proportion. It involves calculating a range of values within which the true proportion is expected to fall with a specified level of confidence. The procedure is appropriate when the variable of interest is categorical, and the goal is to estimate the proportion of individuals in a population who have a certain characteristic, in this case, using Firefox as their primary browser.

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So the velocity vector is v = (-2sin(t)) i + (2cos(t)) j, and the acceleration vector is a = (-2cos(t)) i + (-2sin(t)) j, both in terms of t.

Given

r= 2cost and theta = 9t

To Find

the velocity and acceleration vector

Solution

We can start by expressing the position vector r in terms of the Cartesian coordinates x and y:

x = r cos(theta) = 2cos(t)

y = r sin(theta) = 2sin(t)

To find the velocity vector, we can take the time derivative of the position vector:

v = (dx/dt) i + (dy/dt) j

where i and j are the unit vectors in the x and y directions, respectively.

Taking the derivatives:

dx/dt = -2sin(t)

dy/dt = 2cos(t)

Substituting these back into the velocity vector equation:

v = (-2sin(t)) i + (2cos(t)) j

To find the acceleration vector, we can take the time derivative of the velocity vector:

a = (d^2x/dt^2) i + (d^2y/dt^2) j

Taking the derivatives:

d^2x/dt^2 = -2cos(t)

d^2y/dt^2 = -2sin(t)

Substituting these back into the acceleration vector equation:

a = (-2cos(t)) i + (-2sin(t)) j

So the velocity vector is v = (-2sin(t)) i + (2cos(t)) j, and the acceleration vector is a = (-2cos(t)) i + (-2sin(t)) j, both in terms of t.

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Yes her plan to construct a square inscribed in a circle is her plan correct.

Let's check if her plan is correct:

In order to construct a square inscribed in a circle,

the following steps should be followed

STEP 1:Draw a circle and its centre, O.

STEP 2:Draw a diameter PQ through the centre of the circle.

STEP 3:Mark the midpoint R of PQ.

STEP 4:Draw a perpendicular bisector of PQ, it should pass through R

STEP 5:It cuts PQ at right angles at R. Label the point where the perpendicular bisector cuts PQ as T.

STEP 6:Connect OT and RT to intersect the circle at points S and U respectively.

Now we have a square INSIDE the circle, where O is the center, and the square's diagonal is the circle's diameter, while the square's sides are the circle's radii.

So, Molly's plan is correct.

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