What scale factor would you use to create the copy on the right?

The probability that the die you chose is the fair die is 0.1435

Let E1 be the event of choosing the fair die. Let E2 be the event of choosing the biased die.

P(E1) = P(E2) = 0.5 Because there are only two dice, and you pick a die at random, the probability of choosing the fair die or the biased die is 0.5 each. Therefore, the probability that the die selected is the biased die is P(E2) = 0.5.

Now, let us calculate the probability of rolling 4, 3, 6, 6, 5, and 5 using the biased die:

P(rolling 4, 3, 6, 6, 5, and 5 using biased die) = P(rolling 4 using biased die) x P(rolling 3 using biased die) x P(rolling 6 using biased die) x P(rolling 6 using biased die) x P(rolling 5 using biased die) x P(rolling 5 using biased die)

P(rolling 4, 3, 6, 6, 5, and 5 using biased die) = (0.15) x (0.15) x (0.25) x (0.25) x (0.15) x (0.15) = 0.00012769

Next, we will calculate the probability of rolling 4, 3, 6, 6, 5, and 5 using the fair die:

P(rolling 4, 3, 6, 6, 5, and 5 using fair die) = (1/6) x (1/6) x (1/6) x (1/6) x (1/6) x (1/6)

P(rolling 4, 3, 6, 6, 5, and 5 using fair die) = (1/6)^6 = 0.00002143347

Let E3 be the event of rolling 4, 3, 6, 6, 5, and 5.

Let E4 be the event of rolling 4, 3, 6, 6, 5, and 5 using the fair die.

P(E4) = P(E3 | E1) = 0.00002143347

P(E2) = P(E3 | E2) = 0.00012769

Using Bayes' Theorem:

P(E1 | E3) = P(E3 | E1) x P(E1) / [P(E3 | E1) x P(E1) + P(E3 | E2) x P(E2)]

P(E1 | E3) = 0.00002143347 x 0.5 / [0.00002143347 x 0.5 + 0.00012769 x 0.5]

P(E1 | E3) = 0.1435

Therefore, the probability of selecting the fair die is 0.1435 or 14.35%.

Thus, the probability that the die you chose is the fair die is 0.1435.

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Based on the information, A.Teresa is correct. The graph of y=2xy=2x grows at an increasingly increasing rate, but the graphs of y=x2+2y=x2+2 and y=2x2y=2x2 both grow at a constantly increasing rate. Therefore, the graph of y=2xy=2x will eventually surpass both of the other graphs.

It should be noted that a graph is simply used to show the relationship that exists in the data given diagrammatically.

It should be noted that Teresa is correct as y=2ˣ grows at an increasingly increasing rate, while the other two grow at a constantly increasing rate. This means y=2ˣ will surpass the other two.

In conclusion, the correct option is A.

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Complete question

Teresa graphs the following 3 equations: y=2^x, y=x^2+2, and y=2x^2. She says that the graph of y=2^x will eventually surpass both of the other graphs. Is Teresa correct? Why or why not?

A.Teresa is correct.

The graph of y=2xy=2x grows at an increasingly increasing rate, but the graphs of y=x2+2y=x2+2 and y=2x2y=2x2 both grow at a constantly increasing rate.

Therefore, the graph of y=2xy=2x will eventually surpass both of the other graphs.

B. Teresa is not correct.

The graph of y=2xy=2x grows at an increasing rate and will eventually surpass the graph of y=x2+2y=x2+2.

However, it will never surpass the graph of y=2x2y=2x2 because the yy-value is always twice the value of x2x2.

C. Teresa is not correct.

The graph of y=2x2y=2x2 already intersected and surpassed the graph of y=2xy=2x at x=1x=1.

Once a graph has surpassed another graph, the other graph will never be higher.

Answer:   I think it is A or C

hope this helps!

Step-by-step explanation:

Answer:

Explanation:

make the coefficient of x same by multiplying the entire following by 3

solving using elimination method:

3x - 12y = 6

3x - 12y = 6

===========

0

Here is the answer with explanation

Answer:

9x² + 72x + 144    OR   x² + 8x + 16

Step-by-step explanation:

Data :

Sqaure has  a side  let say p = 3x + 12

As the formula for square area is

    Area = A = p² or length × width

As square  has all equal  side

So   ( 3x + 12 ) ( 3x + 12 )

   ⇒  9x² + 36x +36x + 144

         9x² + 72x + 144

    OR  take 9 common

   x² + 8x + 16

Answer:

$115

Step-by-step explanation:

Amount Harry had in the account = $450

He had $565 after the deposits.

We need to find the amount deposited by Harry.

Deposited amount = final amount-initial amount

= $565 - $450

= $115

So, each deposit is $115.

Answer:$57.50

Step-by-step explanation:

2x + 450 = 565

2x + 450 - 450 = 565 - 450

2x = 115

2x/2 = 115/2

x = 57.50

Answer:

For function B the rise/run or the rate of change is 3/5 and for the chart would be 2

Step-by-step explanation:

Explain because its change in y/ change in x so up 3 over 5 would give 3/5 and for the chart is 2 because its change in y over change in x and since y is 4 and x is 2 4/2=2. hope this helps

Step-by-step explanation:

9.

<M=½(145-55)=45°

10.

<E=½(arc QG-arc DF)

30×2=arc QG-60

arc QH=60+60=120°

11.

<v=½(44x+3-73)

31×2+70=44x

x=132/44

x=3

12.

<C=½(134-64)

6x-7=35

6x=35+7

x=42/6

x=7

Answer:

the speed of the plane with no wind is 700 km/h and the speed of the wind is 100 km/h

Step-by-step explanation:

Let V be the speed of the plane and v the speed of the wind. Down current, they are in opposite directions, and the plane travels a a distance of 4000 km in 5 hours,so

5(V - v) = 4000

V - v = 800    (1)

For upwind movement, since the plane travels 3000 km in 5 hours, so

5(V + v) = 3000

V + v = 600 (2)

adding equations (1) and (2), we have

V - v = 800

+

V + v = 600

2V = 1400

V = 1400/2 = 700 km/h

subtracting equations (2) from (1), we have

V - v = 800

-

V + v = 600

-2v = 200

v = -200/2 = -100 km/h

So, the speed of the plane with no wind is 700 km/h and the speed of the wind is 100 km/h

The worth of the factory is $97580.17.

Given data;

Cost of $460,000 for the factory. You project that it will bring in $150,000 in the first year, $210,000 in the second, and $360,000 in the third. The 12% discount rate applies.

To know the factory's worth;

Let,

\(NPV = \frac{C_0}{(1 + r)^0} + \frac{C_1}{(1 + r)^1} + \frac{C_2}{(1 + r)^2} + \frac{C_3}{(1 + r)^3}\)

Here,

C₀ = -460,000, C₁ = 150,000, C₂ = 210,000, C₃ = 360,000

\(NPV = \frac{-460,000}{(1 + 0.12)^0} + \frac{150,000}{(1 + 0.12)^1} + \frac{210,000}{(1 + 0.12)^2} + \frac{360,000}{(1 + 0.12)^3}\)

NPV = $97,580.17

Therefore, the factory's worth is $97580.17.

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Answer:

A. All four sides must be congruent.

Step-by-step explanation:

A quadrilateral has four sides. A rhombus has four equal sides, which are congruent. The angles can be different. It doesn't have four lines of symmetry. One triangles sums to 180 degrees not 4. 4 triangles would sum up to 720 degrees

Answer:

x=82.7

Step-by-step explanation:

3x+6-6=248

3x=248

x=82.7

Answer:  

Step-by-step explanation:

3x   +  6  −  6  =  248

3x  +  6  +  −  6  =  248

(  3x  )   +  (   6   +  −  6  )  =  248      (ℂ  )

3x  =  248

3x  /  3  = 248  /  3

x   =   248  /  3

x  =  82.6

Answer:

I believe the answer is C. hope this helps

Answer:

C

Step-by-step explanation:

uh i DD this answer on a test so ya

Answer:

yes

Step-by-step explanation:

Hey There!

We can find the answer by using proportions of the other sides

What i mean by this is if ADs proportion to AE is the same as BDs proportion to EC then DE is proportional to BC

6/4=1.5

9/6=1.5

Therefore DE is proportional (or similar) to BC

Answer:

I am going to assume that D's expression is actually $2.99+$3.19+$2.59+(-$0.25)+(-$0.40)

= $6.18+$2.59-$0.25-$0.40 [Note: (+)*(-)=(-)]

=$8.77-$0.25-$0.40

=$8.52-$0.40

=$8.12

Step-by-step explanation:

The prices of the loaf bread, a jar of peanut butter and 3 pounds of apples will be added. The value of the coupons will be then reduced from the total to get the final total.

Answer:

104cm² is the answer for this question

the formula is 2(lw + wh + lh)

2(5×6+6×2+5×2)

2×52

104cm²

To use the multiple linear regression model to make predictions, we need to estimate p+1 model parameters, where p is the number of numeric predictors included in the model.

In a multiple linear regression model that only contains numeric predictors, the number of model parameters that need to be estimated depends on the number of predictors included in the model.

In a multiple linear regression model, the general equation is:

Y = β₀ + β₁X₁ + β₂X₂ + ... + βₚXₚ + ε

Where:

Y is the dependent variable

X₁, X₂, ..., Xₚ are the numeric predictors

β₀, β₁, β₂, ..., βₚ are the parameters to be estimated

ε is the error term

For each numeric predictor X, we need to estimate a corresponding parameter β. So, if there are p numeric predictors in the model, the number of model parameters to be estimated is p+1 (including the intercept term).

The intercept term β₀ is estimated as one of the parameters, and each numeric predictor X requires a separate parameter β to be estimated.

Therefore, to use the multiple linear regression model to make predictions, we need to estimate p+1 model parameters, where p is the number of numeric predictors included in the model.

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Answer:

9 or 8.25

Step-by-step explanation:

27/3=9

35/4=8 3/4

To find the price of one pizza, we can set up a system of equations based on the given information. Let's assume that the price of one pizza is "x" dollars.

From the first scenario, we know that Diego paid $27 to have 3 pizzas delivered. Thus, we can write the equation:\(3x = 27\) From the second scenario, we know that Diego paid $35 to have 4 pizzas delivered. Thus, the equation becomes: \(4x = 35\) To solve this system of equations, we can use the substitution method .

From the first equation, rearranging it to solve for "x," we find: \(x = 27/3 x = 9\)Substituting the value of "x" into the second equation, we find:\(4(9) = 35 36 = 35\) This means there is no solution, indicating that there might be an error in the given information.

However, if we assume an average price for each pizza, we can calculate it. The average price per pizza can be found by dividing the total amount spent by the number of pizzas. Thus, for both scenarios combined, Diego spent $62 on 7 pizzas, leading to an average price of: \(62/7 ≈ $8.86\)Therefore, the estimated price of one pizza is approximately $8.86.

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Step-by-step explanation:

first, for such questions, we sound always sorry the list of data points :

9, 10, 12, 15, 17

the mean is the sum of all data points divided by the number of data points. we have 5 data points.

mean = (9+10+12+15+17)/5 = 63/5 = 12.6

median is the data point for which half of the other data points are smaller, and the other half of other data points are larger.

so, for our 5 days points,

median = 12

the middle element in our sorted list.

mode simple defines the data value that appears the most frequently in the list.

in our case all values appear exactly once.

some people say then that the mode is all numbers in the list.

but most commonly we say that this list has no mode.

Answer: it’s hamburger

Step-by-step explanation:

Just kidding it’s c

In order to find the number of empty bins, let's calculate how many packs will be made with the given material.

240 markers can be organized in 240/8 = 30 packs

320 crayons can be organized in 320/8 = 40 packs

336 colored pencils can be organized in 336/8 = 42 packs

In total we have 30 + 40 + 42 = 112 packs

Each bin can hold 8 packs, to in order to hold 112 packs, we need 112/8 = 14 bins.

We have 24 bins. Since 14 will be used, we will have 24 - 14 = 10 empty bins.

(i) The relationship between the OLS estimators of α₂ and ᵝ₂ can be determined by considering the relationship between the consumption function and the savings function. Since X = Y + Z, we can substitute this into the consumption function equation to obtain Y = α₁ + α₂(Y + Z) + e. Simplifying the equation, we get Y = (α₁/(1 - α₂)) + (α₂/(1 - α₂))Z + (e/(1 - α₂)). Comparing this equation with the savings function Z₁ = ᵝ₁ + ᵝ₂X + u₁, we can see that the OLS estimator of ᵝ₂ is related to the OLS estimator of α₂ as follows: ᵝ₂ = α₂/(1 - α₂).

(ii) The residual sum of squares (RSS) will not be the same for the two models of Y₁ = α₁ + α₂X₁ + e and Z₁ = ᵝ₁ + ᵝ₂X₁ + u₁. This is because the error terms e and u₁ are different for the two models. The RSS is calculated as the sum of squared differences between the observed values and the predicted values. Since the error terms e and u₁ are different, the predicted values and the residuals will also be different, resulting in different RSS values for the two models.

(iii) The R² terms of the two models cannot be directly compared. R² is a measure of the proportion of the total variation in the dependent variable that is explained by the independent variables. Since the consumption function and the savings function have different dependent variables (Y and Z, respectively), the R² values calculated for each model represent the goodness of fit for their respective dependent variables. Therefore, the R² terms of the two models cannot be compared directly.

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The 95% confidence interval interpretation is as follows:

The 95% confidence interval means that  we can be 95% confident that the true population mean systolic blood pressure falls within the range (114 mmHg, 120 mmHg).

However, it is important to note that the confidence interval does not tell us with certainty where the true population mean systolic blood pressure lies, only where it is likely to be.

If we obtained a different set of 100 patients, we would likely obtain a different confidence interval. This is because the sample mean and standard deviation used to compute the interval would be different. However, if the new sample is still a representative sample of the same population, we would expect the confidence interval to be similar in width and location.

If we wanted a 99% confidence interval, the interval would be wider. This is because a higher confidence level requires a wider interval to be able to capture the true population mean with a higher degree of confidence.

The exact width of the interval would depend on the sample size and standard deviation used to compute it.

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(a) A nonzero vector orthogonal to the plane through the points P, Q, and R is (9, -17, 35). (b) The area of triangle PQR is \(\sqrt\)(811) / 2.

(a) To determine a nonzero vector orthogonal to the plane through the points P, Q, and R, we can first find two vectors in the plane and then take their cross product. Taking vectors PQ and PR, we have:

PQ = Q - P = (5, 1, -2) - (-4, 0, 0) = (9, 1, -2)

PR = R - P = (6, 4, 1) - (-4, 0, 0) = (10, 4, 1)

Taking the cross product of PQ and PR, we have:

n = PQ x PR = (9, 1, -2) x (10, 4, 1)

Evaluating the cross product gives n = (9, -17, 35). Therefore, (9, -17, 35) is a nonzero vector orthogonal to the plane through points P, Q, and R.

(b) To determine the area of triangle PQR, we can use the magnitude of the cross product of vectors PQ and PR divided by 2. The magnitude of the cross product is given by:

|n| = \(\sqrt\)((9)^2 + (-17)^2 + (35)^2)

Evaluating the magnitude gives |n| = \(\sqrt\)(811).

The area of triangle PQR is then:

Area = |n| / 2 = \(\sqrt\)(811) / 2.

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Answer:

c

Step-by-step explanation:

Step-by-step explanation:

you do 58.45 / 617.50 × 100 = 9.46%

hope this helps you

Answer:

69.21

Step-by-step explanation:

We know one hour is 60 minutes

We can do 60/52 which is

1.538=time to pick one apple

Then we can multiply that by 45 which is

69.21