which of these expressions shows a correct way to set up the slope formula for the line that passes through the points (3, 6) and (-7, -4)?

The statistics in the Bayesian approach is different from the frequentist approach because in the Bayesian approach the parameters for estimation is been treated as random variables.

The differences that can be associated with the bayesian approach and frequentist approach is that the Bayesian approach make use of the parameters that is about to be treated as a random variable.

It should be noted that frequentist approach, do make use of the fixed. Random variables  in dealing with the parameters for estimation.

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By substituting \(y=x\) into the differential equation \(2x^2y'' + xy' - y = 0\), we can verify if it holds true.

Does substituting y=x satisfy the given differential equation?

To show that y=x is a solution of the differential equation\(2x^2y'' + xy' - y = 0\), we substitute y=x into the equation and check if it satisfies the equation. By differentiating y=x twice and substituting the resulting expressions into the differential equation, we can determine if the equation holds true for y=x.

By substituting y=x into the differential equation ,\(2x^2y'' + xy' - y = 0\) we have\(2x^2(0) + x(1) - x = 0\), which simplifies to 0 = 0. Since 0 = 0 is a true statement, we can conclude that y=x is indeed a solution of the given differential equation.

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The two-column proof that proves that the measure of angle EFI is 44° is explained below.

In this problem, we are given that the measure of angle GFI = 138°, we need to prove the statement which states that the measure of angle EFI is 44° using a two-column proof.

Applying the angles addition postulate, we have the equation:

m<GFE + m<EFI = m<GFI

Substitute:

9x - 5 + 4x = 138

Solve for x:

9x + 4x = 138 + 5

13x = 143

13x/13 = 143/13

x = 11

m<EFI = 4x = 4(11)

m<EFI = 44°

The two-column proof for this is given below:

Statement                                   Reason                                                  

1. m∠GFI = 138°                           1. Given

2. m<GFE + m<EFI = m<GFI       2. Angles addition postulate

3.  m<GFE + m<EFI = 138°          3. Substitution property

4. m<GFE = (9x-5): m<EFI = 4x° 4. Given

5. 9x - 5 + 4x = 138                     5. Substitution property

6. 13x - 5 = 138                            6. Combine like terms

7. 13x = 143                                  7. Addition Property of Equality

8. x = 11                                        8. Division Property of Equality

9. m<EFI = 44°                             9. Substitution Property, (Steps 4, 8)

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Answer:

because of the gravity of the earth

Answer:

5x+50

Step-by-step explanation:

\(a(c - b) = d\)

Divided sides by a

\( \frac{a}{a}(c - b) = \frac{d}{a} \\ \)

\(c - b = \frac{d}{a} \\ \)

Plus sides b

\(c - b + b = \frac{d}{a} + b \\ \)

\(c = \frac{d}{a} + b \\ \)

Done.....♥️♥️♥️♥️♥️

Answer:

\(c = \frac{ab + d}{a}\)

Step-by-step explanation:

Step 1: Add ab to both sides.

−ab + ac + ab = d + ab

ac = ab + d

Step 2: Divide both sides by a.

\(\frac{ac}{a} =\frac{ab + d}{a}\)

\(c = \frac{ab + d}{a}\)

Hope it helps!!

Expressing the relationship 36 pages in 12 minutes aa a rate will result to

A unit rate is a ratio that compares a quantity to a unit of measure.

It is typically expressed as a fraction where the numerator is the quantity and the denominator is the unit of measure.

For example, miles per hour (mph) is a unit rate that compares the number of miles traveled to the number of hours it took to travel that distance.

This can be calculated by taking the total number of pages (36) and dividing it by the total time in minutes (12), resulting in 36/12 = 3 pages per minute.

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Answer:

Below

Step-by-step explanation:

4 [x-3] + 2    = y    is not discontinuous anywhere

However    4 / [x-3]  + 2   DOES have a discontinuity at x = 3 because this would cause the denominator to be zero <===NOT allowed !!

Answer: Absolute Value

Step-by-step explanation:

The | | is a symbol for absolute value. This signifies that the number inside would be positive. Now, this doesn't mean it will always be a number inside absolute value bars. It can also be expressions.

Examples:

|1|: Even though the number inside is a positive 1, we know that it cannot be negative under any circumstances. The only exception would be if there was a negative sign on the outside of the absolute value.

|-1|: We see that there is a -1 in the absolute value. This means that it is actually a 1, not -1. The absolute value is what makes everything inside positive.

|1-5|: To solve this, we know that 1-5=-4. Without the absolute value, the answer -4 would be correct. In this case, we have absolute value, so the answer is actually 4.

|x+2|: x+2 can easily be negative. This would happen is x was a negative number that is smaller than -2. x+2 can also be positive, but the absolute value guarantees that the ending result must be positive.

The required answers are a) y = 60 + 2.5x, b) y = 10x, c) y = 7.5x - 60.

The meaning of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two expressions 3x + 5 and 14, which are separated by the 'equal' symbol.

a. The cost of dyeing materials is a fixed cost, so the equation for the money the Drama Club spends is a linear function:

y = 60 + 2.5x

b. The money the Drama Club collects is the price of each T-shirt multiplied by the number of T-shirts sold. This is also a linear function:

y = 10x

c. Profit is the difference between the money collected and the money spent. Thus, the equation for their profit as a function of the number of T-shirts they sell is:

y = 10x - (60 + 2.5x)

y = 7.5x - 60

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Leaving the TV on for two weeks while on vacation would cost you approximately $4.46.

To calculate the cost, we need to determine the total energy consumed by the TV while you were on vacation and then convert it to dollars.

First, let's calculate the energy consumption in kilowatt-hours (kWh):

Power (in kilowatts) = Voltage (in volts) * Current (in amps) / 1000

Power = 120 V * 0.96 A / 1000 = 0.1152 kW

Now, we need to find the total energy consumed in kilowatt-hours (kWh) over the two-week period:

Energy (in kilowatt-hours) = Power (in kilowatts) * Time (in hours)

Energy = 0.1152 kW * 24 hours/day * 14 days = 38.4512 kWh

Next, let's calculate the cost of this energy consumption:

Cost = Energy (in kilowatt-hours) * Cost per kilowatt-hour

Cost = 38.4512 kWh * $0.116/kWh = $4.46 (rounded to two decimal places)

Therefore, leaving the TV on for two weeks while on vacation would cost you approximately $4.46.

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Answer:

1. 3:4

Step-by-step explanation:

The ratio of baskets to tries is 3/4, 15 basket was made in 20 tries and 12 basket in 16 tries

An equation is an expression that shows the relationship between two or more numbers and variables.

1) . If a basketball player makes 9 baskets in 12 tries, hence:

Ratio of baskets to tries = 9/12 = 3/4

2) For 20 tries:

Number of basket = (3/4) * 20 = 15

3) For 12 basket:

Number of tries = 12 / (3/4) = 16

The ratio of baskets to tries is 3/4, 15 basket was made in 20 tries and 12 basket in 16 tries

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Answer:

70°

Step-by-step explanation:

(180-40)/2

= 140/2

= 70

Answered by GAUTHMATH

Answer: C. Mount Everest is about 23 times as tall as the Empire State Building

Step-by-step explanation:

The options are:

A.There is no way to compare these heights

B.Mount Everest is about 40 times as tall as the Empire State Building

C.Mount Everest is about 23 times as tall as the Empire State Building

D.The Empire State Building is about 23 times as tall as Mount Everest

Mount Everest = 8.8×10^3 meters = 8800 meters

Empire State Building = 3.8×10^2 = 380 meters

Mount Everest is (8800 / 23) = 33 times as tall as the Empire State Building. Therefore, the correct option is C.

Answer:

Mount Everest is about 23 times as tall as the Empire State Building. Hope that helps!

Answer:

ST ≈ 33.9

Step-by-step explanation:

given a tangent and a secant drawn from an external point to the circle, then

the square of the measure of the tangent is equal to the product of the secant's external part and the entire secant , that is

ST² = TU × TV = 24 × (24 + 24) = 24 × 48 = 1152 ( take square root of both sides )

ST = \(\sqrt{1152}\) ≈ 33.9 ( to the nearest tenth )

If we roll a single die twice, what is the probability that the sum of the dots showing on the two rolls equals four (4)The probability that the sum of the dots showing on the two rolls equals four (4) is 1/12.

Explanation:
1. Identify the possible outcomes that result in a sum of 4: (1, 3), (2, 2), and (3, 1).
2. Calculate the probability of each outcome:
  - P(1, 3) = 1/6 (for the first roll) * 1/6 (for the second roll) = 1/36
  - P(2, 2) = 1/6 * 1/6 = 1/36
  - P(3, 1) = 1/6 * 1/6 = 1/36
3. Add the probabilities of each outcome to find the total probability: 1/36 + 1/36 + 1/36 = 3/36 = 1/12.

11 outcomes (of the total of 36 outcomes) which give us the desired output. Hence the probability of getting a sum of 6 or 7 is 1136

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A smaller probe size, such as the 25mm probe, is improved spatial resolution. Larger probe size, such as the 50mm probe, offers advantages in terms of signal-to-noise ratio and overall signal strength.

The choice of the type and dimensions of the measuring geometry in Time-Resolved Photocurrent (TPA) experiments is determined by several factors, including the desired measurement resolution, experimental setup, and the material being studied. In this case, a 25mm and 50mm probe have been chosen.

The main advantage of using a smaller probe size, such as the 25mm probe, is improved spatial resolution. Smaller probes can focus the measurement on a smaller area, allowing for more precise localization of the TPA signal. This can be particularly useful when studying materials with localized or confined features, such as nanostructures or thin films. Additionally, smaller probes can provide better sensitivity to variations in the photocurrent, enhancing the detection of subtle changes in the material.

Larger probes can collect more photons, resulting in a higher signal level, which can be beneficial when studying materials with low photocurrents or weak TPA signals. The larger probe can also reduce the impact of noise sources, improving the overall quality of the measurement.

The choice between a 25mm and 50mm probe ultimately depends on the specific requirements of the experiment and the characteristics of the material being investigated. Researchers need to consider factors such as the spatial resolution needed, the desired signal strength, and the noise levels in the system. By carefully selecting the probe size, scientists can optimize the TPA measurement to effectively study the material's photophysical properties.

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Answer:

ok so on the left ill put minutes and on the right ill put dollars

150=7.50

220=11.00

250=12.50

275=13.75

so now lets break this down by dividing the smallest numbers by 2 a couple times

75=3.75(2)

25=1.25(3)

1=0.05(25)

so for every minute on the phone you pay 5 cents

Hope This Helps!!!

Answer:

for every minute on the phone you pay 5 cents, add brainly plz.

Step-by-step explanation:

a. The standard error of the mean can be calculated using the formula:

Standard Error of the Mean = standard deviation / square root of sample size.

In this example, the standard deviation is given as 80 minutes and the sample size is 40. Plugging these values into the formula:

Standard Error of the Mean = 80 / √40 ≈ 12.727

Therefore, the standard error of the mean in this example is approximately 12.727 minutes.

b. To find the likelihood that the sample mean is greater than 320 minutes, we need to calculate the z-score for this value and then find the corresponding probability from the z-table.

The formula for z-score is:

z = (x - μ) / (σ / √n)

In this case, x is the sample mean of 320 minutes, μ is the population mean (330 minutes), σ is the standard deviation (80 minutes), and n is the sample size (40).

Plugging in these values:

z = (320 - 330) / (80 / √40) ≈ -0.447

Now, referring to Appendix B1 for the z-values, we can find the corresponding probability. The z-value of -0.447 corresponds to a probability of approximately 0.3264.

Therefore, the likelihood that the sample mean is greater than 320 minutes is approximately 0.3264.

c. To find the likelihood that the sample mean is between 320 and 350 minutes, we need to calculate the z-scores for these values and then find the corresponding probabilities from the z-table.

Using the same formula as in part b, we can calculate the z-scores:

For 320 minutes:
z = (320 - 330) / (80 / √40) ≈ -0.447

For 350 minutes:
z = (350 - 330) / (80 / √40) ≈ 1.118

Referring to Appendix B1, the z-value of -0.447 corresponds to a probability of approximately 0.3264, and the z-value of 1.118 corresponds to a probability of approximately 0.8686.

To find the likelihood between these two values, we subtract the probability corresponding to the lower z-value from the probability corresponding to the higher z-value:

0.8686 - 0.3264 ≈ 0.5422

Therefore, the likelihood that the sample mean is between 320 and 350 minutes is approximately 0.5422.

d. To find the likelihood that the sample mean is greater than 350 minutes, we can use the z-score formula:

z = (x - μ) / (σ / √n)

Plugging in the values:
z = (350 - 330) / (80 / √40) ≈ 1.118

Referring to Appendix B1, the z-value of 1.118 corresponds to a probability of approximately 0.8686.

Therefore, the likelihood that the sample mean is greater than 350 minutes is approximately 0.8686.

e. In this example, we assume that the distribution of times for taxpayers to prepare, copy, and electronically file an income tax return follows a normal distribution. This assumption is based on the given statement that the distribution of times follows the normal distribution.

By assuming a normal distribution, we can use z-scores and the z-table to calculate probabilities and make inferences about the sample mean. However, it is important to note that this assumption may not hold true in all cases, and other statistical methods may need to be used if the data does not follow a normal distribution.

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(h) The Cartesian product is performed first on a and b, resulting in a set of ordered pairs, which is then Cartesian multiplied by b, resulting in ordered triplets.

To perform the set operations, let's recall the definitions of each operation:

The Cartesian product of two sets A and B, denoted A × B, is the set of all ordered pairs (a, b) where a is an element of A and b is an element of B.

The symbol Ø represents the empty set, which is a set with no elements.

Now, let's calculate the given set operations:

(a) a × b:

a = {π, e, 0}

b = {0, 1}

a × b = {(π, 0), (π, 1), (e, 0), (e, 1), (0, 0), (0, 1)}

The Cartesian product of a and b consists of all possible ordered pairs where the first element is from set a and the second element is from set b.

(b) b × a:

b = {0, 1}

a = {π, e, 0}

b × a = {(0, π), (0, e), (0, 0), (1, π), (1, e), (1, 0)}

The Cartesian product of b and a consists of all possible ordered pairs where the first element is from set b and the second element is from set a.

(c) a × a:

a = {π, e, 0}

a × a = {(π, π), (π, e), (π, 0), (e, π), (e, e), (e, 0), (0, π), (0, e), (0, 0)}

The Cartesian product of a and a consists of all possible ordered pairs where both elements are from set a.

(d) b × b:

b = {0, 1}

b × b = {(0, 0), (0, 1), (1, 0), (1, 1)}

The Cartesian product of b and b consists of all possible ordered pairs where both elements are from set b.

(e) a × Ø:

a = {π, e, 0}

Ø = {} (empty set)

a × Ø = {}

The Cartesian product of a and the empty set results in the empty set.

(f) (a × b) × b:

a = {π, e, 0}

b = {0, 1}

(a × b) = {(π, 0), (π, 1), (e, 0), (e, 1), (0, 0), (0, 1)}

((a × b) × b) = {( (π, 0), 0), ( (π, 1), 0), ( (e, 0), 0), ( (e, 1), 0), ( (0, 0), 0), ( (0, 1), 0), ( (π, 0), 1), ( (π, 1), 1), ( (e, 0), 1), ( (e, 1), 1), ( (0, 0), 1), ( (0, 1), 1)}

The Cartesian product is performed first, resulting in a set of ordered pairs, which is then Cartesian multiplied by b, resulting in ordered triplets.

(g) a × (b × b):

a = {π, e, 0}

b = {0, 1}

(b × b) = {(0, 0), (0, 1), (1, 0), (1, 1)}

(a × (b × b)) = {(π, (0, 0)), (π, (0, 1)), (π, (1, 0)), (π, (1, 1)), (e, (0, 0)), (e, (0, 1)), (e, (1, 0)), (e, (1, 1)), (0, (0, 0)), (0, (0, 1)), (0, (1, 0)), (0, (1, 1))}

The Cartesian product is performed first on b and b, resulting in a set of ordered pairs, which is then Cartesian multiplied by a, resulting in ordered pairs of pairs.

(h) a × b × b:

a = {π, e, 0}

b = {0, 1}

(a × b) = {(π, 0), (π, 1), (e, 0), (e, 1), (0, 0), (0, 1)}

(a × b) × b = {( (π, 0), 0), ( (π, 0), 1), ( (π, 1), 0), ( (π, 1), 1), ( (e, 0), 0), ( (e, 0), 1), ( (e, 1), 0), ( (e, 1), 1), ( (0, 0), 0), ( (0, 0), 1), ( (0, 1), 0), ( (0, 1), 1)}

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Answer:

£800

Step-by-step explanation:

Find 1% of the washing machine price using the percentage and the price of the washing machine after it decreased to help you.

100 - 20 = 80

80% = 640

1% = 640 ÷ 80 = 8

Now, since they asked the price before it decreased, they are asking for the full price.

100% = 8 x 100 = 800

(Final answer)

Answer: 3rd answer choice

Step-by-step explanation:

Answer: 4th answer choice

Step-by-step explanation:

Answer:

Vertical Angles

Step-by-step explanation:

Answer:

Congruent angles

Step-by-step explanation:

These angles equal each other

By AAS congruence theorem, triangle QXP is congruent to triangle SXR.

Triangle congruence theorem or triangle congruence criteria help in proving if a triangle is congruent or not. The word congruent means exactly equal in shape and size no matter if we turn it, flip it or rotate it.

Given that, X is the midpoint of QS and ∠P≅∠R.

Consider, ΔQXP and ΔSXR

QX=XS (X is the midpoint of QS)

∠P≅∠R (Given)

∠QXP ≅ ∠SXR (Vertical angle theorem)

By AAS congruence theorem,

ΔQXP ≅ ΔSXR

Hence, proved.

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Answer:

Your Ans

1.03

Hope this Helpful

The latest statistics from the National Science Foundation indicate a concerning Gender gap persists in computer science and engineering fields with declining women's degrees from 2005 to 2008.

The data shows that the percentage of engineering degrees awarded to women decreased from 20% in 2005 to 18% in 2008, while the percentage of computer science degrees awarded to women dropped from 22% to 17% during the same period.

These findings highlight the persistent gender disparity in these fields, despite progress in other areas. To address this issue, efforts should focus on promoting and encouraging women to pursue careers in computer science and engineering, providing equal opportunities and supportive environments to bridge the gender gap and foster diversity and inclusion in these crucial fields.

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Answer:

Step-by-step explanation:

the last choice .. about 3 hours spent on math

The shape of the cross section is a triangle. It is always triangle if the triangular pyramid sliced from any side perpendicularly to its base. See the picture in the attachment!

A pyramid is a polyhedron that has one base and lateral faces with the vertex at the top of the pyramid. The shape of lateral faces is always a triangle. While, the shape of the base varies and is used to name the pyramid.

A triangular pyramid is a pyramid with a triangular base. It has three lateral faces.

If a triangular pyramid is sliced by a plane from any side that is perpendicular to its base, the cross section formed will be a triangle. One line is at the base and two lines are at the lateral faces. See the picture in the attachment!

Hence, the cross section formed by the slicing is a triangle.

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Answer: Sixtyfive point five

Step-by-step explanation:

this is how we "speak" decimals. the dot is called a point, and the numbers are read as is.