On a blank sheet rotate triangle pqr 90 degrees clockwise

The two equations that represent a shift of the graph are  y=(x-12)³ and y=(x+8)³.

What is an equation?

Variable terms are frequently used in complex algorithms to reconcile two opposing claims. Academic statements known as equations are used to express the equivalence of different academic quantities. Rather than using a specific algorithm to divide 12 into two parts and assess the data obtained from y + 7, normalization in this case leads to b + 7.

The two equations describe a shift of the graph of the parent equation on the coordinate plane towards the right.

=> y=(x-12)³

=> y=(x+8)³

Therefore , the solution of the given problem of equation comes out to be  y=(x-12)³ and y=(x+8)³.

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Reliable sources are what make your research paper solid and strong.

Reliable sources are crucial in ensuring that your research paper is solid and strong. It is important to conduct thorough research and choose only the most credible sources to support your arguments and ideas. By utilizing high-quality sources, you can add depth and validity to your work, ultimately leading to a more impactful and successful paper.
A reliable source is America's Sunday morning talk show on CNN from 1992 to 2022, focusing on analysis and commentary on American media. It airs at CNN's WarnerMedia Studios in New York City from 11:00 AM to 12:00 PM ET. He also broadcasts internationally on CNN International.

This program was originally designed to analyze media coverage of the Persian Gulf War, but has since focused on media coverage of the Valerie Prime incident, the Iraq war, Mark Felt's trip as the Deep Throat, and many other things and internal information. On August 18, 2022, CNN canceled the show and host Brian Settler announced he was leaving the network. The final episode will air on August 21, 2022.

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The least number of pieces that she needs to tie together to make a length of at least 12 yards long is 8 pieces.

Staci has 13 pieces of rope, each piece is 5 feet long. Therefore, the  least number of pieces that she needs to tie together to make a length that is at least 12 yards long can be calculated as follows:

Therefore,

1 piece = 5 feet

13 piece = ?

Therefore,

13 piece = 65 feet

Hence,

1 yard = 3 feet

12 yards = ?

cross multiply

number of feet = 36 feet

Number of pieces to get at least 12 yards(36 feet) = 36 / 5

Number of pieces to get at least 12 yards = 8 pieces

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Answer:

10,5 hours

Step-by-step explanation:

Jane writes 6 pages/hour

63 / 6 = 10,5 hours

Answer: The dermatologists at that session only

Step-by-step explanation:

It was on a Khan Academy practice.

False. The x86-64 bit architecture utilizes the full 64 bits for representing virtual address space, not just 48 bits.

The x86-64 bit architecture, also known as x64 or AMD64, extends the 32-bit x86 architecture to support 64-bit computing. One of the major advantages of this architecture is its ability to access a significantly larger virtual address space compared to its 32-bit predecessor. In x86-64, the virtual address space is indeed 64 bits wide, allowing for a theoretical capacity of 2^64 bytes, which is an enormous amount of memory.

The misconception that only 48 bits are used for representing the virtual address space may arise from the fact that current x86-64 implementations typically limit the practical addressable space to 48 bits. This is known as the "canonical address space" and allows for 256 terabytes of addressable memory. The remaining 16 bits are reserved for future expansion and are not utilized in most current systems. However, the full 64-bit address space is still available in the architecture and can be used if needed in future hardware implementations or specialized applications.

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When a trapezoid is rotated 180° on the coordinate plane, the angles of the trapezoid remain the same, but their orientation is reversed. The correct answer is A. 20.

When a shape is rotated 180° on the coordinate plane, the angles of the shape remain the same, but their orientation is reversed.

In this case, angle B is 20° in the original trapezoid. After a 180° rotation, angle B' will be the same as angle B, but in the opposite direction. Therefore, angle B' will also be 20°.

Hence, the correct answer is A. 20°.

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Answer:

28.2 ft²

Step-by-step explanation:

The measure of angle BCD is 90°, ∠ADE is 74°, ∠ABD is  16°, ∠AEB is 148°, ∠CBE is 74°, ∠DEA is 32°.

What is an angle?

When two straight lines or rays collide at a place, an angle is created. The vertex is where an angle's constituent points all meet together. The English word "angle" derives from the Latin word angulus, which means "corner."

We are given a rectangle and it's all the angles are 90°.

So,

∠BCD = 90°

Similarly,

⇒∠ADE + ∠EDC = 90°

⇒∠ADE + 16° = 90°

⇒∠ADE = 74°

∠ABD = 16°   (Alternate interior angles)

∠CBE = 74°   (Alternate interior angles)

We know that rectangle's diagonal bisect each other.

So,

⇒ ∠ABE = ∠BAE = 16°

So, we get

⇒ ∠ABE + ∠BAE + ∠AEB = 180°

⇒ 32° + ∠AEB = 180°

⇒ ∠AEB = 148°

Since, angles on straight line form a linear pair so,

⇒ ∠DEA + ∠AEB = 180°

⇒ ∠DEA + 148° = 180°

⇒ ∠DEA = 32°

Hence, the measure of all the angles have been obtained.

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Answer:

55

Step-by-step explanation:

Given function is f(x) = 4x3 − 33x2 − 36x + 3. Now we have to find the critical numbers of the function, the open intervals where the function is increasing, and the open intervals where it is decreasing.

a) Critical numbers of the function is/areAs we know that the critical numbers of the function are those values of the variable at which the derivative of the function becomes zero. The derivative of the given function with respect to x is f'(x) = 12x² - 66x - 36 We know that for the critical number(s), f'(x) = 0Hence, 12x² - 66x - 36 = 0Divide the equation by 6, we get 2x² - 11x - 6 = 0 Factorizing the above equation, we get (2x + 1)(x - 6) = 0By solving above equation, we get the critical numbers are -1/2 and 6.

Therefore, the correct option is (A) the critical number(s) is/are (-1/2,6) or (-1/2 and 6)

b) The open intervals where the function is increasing. To find the intervals of increase of the function f(x), we need to check the sign of the first derivative f'(x) in each interval. Whenever f'(x) > 0 in an interval, the function increases. Therefore, the function is increasing on the interval (-1/2, 6).

Hence, the correct option is (A) the function is increasing on the interval(s) (-1/2, 6).

c) The open intervals where the function is decreasing.To find the intervals of decrease of the function f(x), we need to check the sign of the first derivative f'(x) in each interval. Whenever f'(x) < 0 in an interval, the function decreases. Therefore, the function is decreasing on the intervals (-∞,-1/2) and (6, ∞).

Hence, the correct option is (A) the function is decreasing on the interval(s) (-∞,-1/2) and (6, ∞).

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Answer:

h = 15

Step-by-step explanation:

notice that inside that cylinder there is a right triangle.

The problem gives you the side of 17 for the hypothenuse of the triangle.

Also, it gives you the diameter of 16 ft, but you need the the radius or d/2; radius is 8ft.

Use pythagorean theorem or a^2 + b^2 = c^

a = radius r = 8ft

c = side of hypothenuse = 17

need to find height or h

h^2 + r^2 = (17)^2

h^2 = 17^2 - r^2

h^2 = 17^2 - 8^2

h^2 = 289-64

h^2 = 225; take the square root

h = 15

Answer:

h = 15

Step-by-step explanation:

notice that inside that cylinder there is a right triangle.

The problem gives you the side of 17 for the hypothenuse of the triangle.

Also, it gives you the diameter of 16 ft, but you need the the radius or d/2; radius is 8ft.

Use pythagorean theorem or a^2 + b^2 = c^

a = radius r = 8ft

c = side of hypothenuse = 17

need to find height or h

h^2 + r^2 = (17)^2

h^2 = 17^2 - r^2

h^2 = 17^2 - 8^2

h^2 = 289-64

h^2 = 225; take the square root

h = 15

A decimal approximation for the value of √155 is approximately 0.0316 (rounded to four decimal places).

What is Radical Expression?

"radical expression - a radical expression is an expression containing a square root. radicand - a number or expression inside a radical symbol. radical equation - an equation containing radical expressions with variables in the radicals."

To approximate the decimal value of the radical expression √155 using the formula δy ≈ f'(x)δx, we need to identify a suitable function f(x) and its derivative f'(x) that closely approximate the behavior of the square root function around x = 155.

Let's consider the function f(x) = √x, which represents the square root of x. We will approximate the value of √155 using a small change in x, denoted as δx.

First, find the derivative f'(x) of f(x) = √x:

f'(x) = (1/2)x^(-1/2) = 1 / (2√x)

Now, let's choose a small value for δx. In this case, we can use δx = 0.01.

Substituting these values into the formula δy ≈ f'(x)δx, we have:

δy ≈ (1 / (2√x)) * δx

δy ≈ (1 / (2√155)) * 0.01

Calculating this expression, we can approximate the decimal value of √155:

δy ≈ (1 / (2√155)) * 0.01 ≈ 0.03155782

Therefore, a decimal approximation for the value of √155 is approximately 0.0316 (rounded to four decimal places).

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It is possible that someone else collecting a different sample from the same population and measuring the same variable would calculate the same sample statistic, but it is not guaranteed.

Statistical measures that are derived from samples of data rather than the complete population are called sample statistics. A population parameter, such the mean or standard deviation, is estimated using this method. Depending on the type of data and the research issue being examined, sample statistics can be estimated using a variety of formulae and techniques. For instance, to get the sample mean, multiply the sum of all the observations in the sample by the total number of observations. The sample standard deviation is calculated by taking the square root of the sum of the squared differences between each observation and the sample mean. In research studies and surveys, sample statistics are frequently utilized to draw conclusions about the population.

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Answer:

c

Step-by-step explanation:

The margin error for the given poll having 95% confidence level with sample size of 410 is equal to 3.15%.

Sample size n = 410

Confidence level = 95%

Margin of error for this poll, use the formula,

ME = Z× (√(p₁(1-p₁) / n))

where Z is the z-score corresponding to the desired level of confidence.

p₁ is the sample proportion = 0.12

Using attached z-score table,

For a 95% confidence level, the corresponding z-score is 1.96.

Substituting the given values, we get,

ME = 1.96 × (√(0.12× (1-0.12) / 410))

Simplifying the expression inside the parentheses, we get,

⇒ME = 1.96 ×  0.0160

⇒ME = 0.0315

Margin of error for this poll at the 95% confidence level is approximately 0.0315.

Therefore,  95% confidence level represents that the true proportion of people who like dogs is within 3.15% of the observed proportion of 12%.

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Answer:

15

Step-by-step explanation:

sorry if this is wrong :)

The meaning of this annotation: "| |" is Absolute value.

Solving for : |2(-7.5)|

|2(-7.5)| = |2 x (-7.5)|

= |-15|

|-15| = 15

Therefore, |2(-7.5)| = 15

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Answer: the lines are neither parallel nor perpendicular.

To determine whether two lines are parallel, perpendicular, or neither, we need to calculate their slopes. The slope of a line is a measure of how steep the line is. It is calculated by dividing the difference in the y-coordinates of the two points by the difference in the x-coordinates.

For line 1, the slope is calculated as follows: (4-(-5))/(1-(-2)) = 9/3.

For line 2, the slope is calculated as follows: (4-6)/(6-0) = -2/6 = -1/3.

Since the slopes of the two lines are different, they are not parallel.

To determine whether two lines are perpendicular, we need to check if the product of their slopes is -1. The product of the slopes of line 1 and line 2 is (9/3)*(-1/3) = -3/9 = -1/3. Since this is not equal to -1, the lines are not perpendicular.

Therefore, the lines are neither parallel nor perpendicular.

Answer: perpendicular

Step-by-step explanation: Line 1 has the following points

(-2,5) and (1,4)

We know that the equation of a straight has the form

y=mx+c

m=gradient or the slope

c= where the graph crosses the y axis

let us label our points

let(x1, y1)=(-2, -5)

let (x2, y2)=(1, 4)

Does not matter the labelling of points

we now need to find the gradient or the slope

It is given by the following formula

m=(y2-y1)/(x2-x1)

substitute the values into formula

m=(4--5)/(1--5)=9/3=3

Reminder that two negatives facing each other gives a postive

m=3

We substitute this into our general equation of a straight line to get the following:

y=3x+c

We now to solve for c

and we can use any of the two co-ordinate points

lets use(1,4) this means x=1 and y=4

substitute into the above equations and solve for c

4=3*1+c

4=3+c

c=1

the equation for Line1 is y=3x+1

We now look at line2

(0,6) and (6,4)

let(x1, y1)=(0,6) and (x2, y2)=(6,4)

We following the same procedure as for the first line

we look for the gradient or slope m

m=(y2-y1)/x2-x1)

m=(4-6)/(6-0)=-2/6=-1/3

We then substitute this value into the general equation for a line

y=mx+c

y=-1/3x+c

we now need to solve for c

we can choose any of the co-ordinate points to substitute into the equation

say we choose(0,6) this means x=0 and y=6

y=-1/3x+c

6=-1/3 *0+c

6=0+c

c=6

we then get the equation for line 2 which is

y=-1/3x+6

Line 1 has a gradient of 3

Line2 has a gradient of -1/3

when we multiply the two together we get -1

therefore the two line are perpendicular to each other

m1*m2=-1

gradient of line  multiplied by the gradient of line 2 gives -1

perpendicular line

Demographics variables include the characteristics of a population, similar as age, gender, race, education, income, occupation, and geographic position.

 Demographic shifts can have a conspicuous impact on the request in the coming 10 times. One of the significant demographic shifts is the growing population.

The growing population will have a conspicuous impact on the healthcare request as they need further medical care as they progress.

The growing population also has an impact on the casing request as they're looking to reduce or move to withdrawal communities. Another demographic shift that will have a conspicuous impact on the request is the increase in diversity in the population.

The increase in diversity will impact the food and libation request as different societies have different salutary requirements and preferences. It'll also impact the marketing fashion request as different societies have different fashion styles and preferences.

An illustration of a folklore is the LGBTQ community. The unique marketing aspect of this folklore is the need for addition and acceptance. Companies can reach out to this folklore by featuring LGBTQ individualities in their announcements. An illustration of this is the recent Coca- Cola announcement featuring a same- coitus couple.

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The particular solution we obtained is: Up = (19/32)e^(4t) − (19/8)e^(−t) + 1/6.

To find a particular solution to the given equation: Up=1+6y+8y′=19te, we can use the method of undetermined coefficients.

Here, we have a nonhomogeneous equation, which means that we need to find a particular solution and then add it to the general solution of the corresponding homogeneous equation.

Now, let's find the particular solution:Particular solutionWe need to guess a particular solution to the given equation that satisfies the right-hand side of the equation.

Let's assume that our particular solution is of the form:Up = At^2 + Bt + C + De^(4t) + Ee^(−t) + FNow, we need to take the derivative of our particular solution and substitute it into the given equation:Up = At^2 + Bt + C + De^(4t) + Ee^(−t) + FUp′ = 2At + B + 4De^(4t) − Ee^(−t).

Now, we can substitute these expressions into the given equation:Up = 1 + 6y + 8y′ = 19te1 + 6(A t^2 + B t + C + De^(4t) + Ee^(−t) + F) + 8(2A t + B + 4De^(4t) − Ee^(−t)) = 19t.

Now, we can simplify and equate the coefficients of the terms involving the same powers of t to obtain a system of linear equations for the coefficients A, B, C, D, E, and F:6A + 8(2A t) = 0 ⇒ A = 0(6B + 8(B)) = 0 ⇒ B = 0(6C + 8F) = 1 ⇒ C = 1/6 and F = 1/8(32D e^(4t) − 8E e^(−t)) = 19t − 1 ⇒ D = 19/32 and E = −(19/8).

Therefore, our particular solution is:Up = (19/32)e^(4t) − (19/8)e^(−t) + 1/6The main answer is:Up = (19/32)e^(4t) − (19/8)e^(−t) + 1/6T

To find the particular solution, we assumed that it was of the form: Up = At^2 + Bt + C + De^(4t) + Ee^(−t) + F, and substituted this expression into the given equation.

Then, we equated the coefficients of the terms involving the same powers of t to obtain a system of linear equations for the coefficients A, B, C, D, E, and F.

Finally, we solved this system of linear equations to obtain the values of the coefficients and thus the particular solution. The particular solution we obtained is: Up = (19/32)e^(4t) − (19/8)e^(−t) + 1/6.

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Answer:

12 INCHES

Step-by-step explanation:

lol

also might have to do with the ratio tho......but i forgot

Answer:

I think the answer is "D" 12 inches

Step-by-step explanation:

I think this because on the right it says 12 inches and the left and the right look like the same length. Hope this helped and if it's wrong I'm so sorry.

Kim was solving a problem using the six steps first she read the problem then she wrote down the facts and figures next she knew she had to find a relation between what’s given and what's asked for.

After that, she formulated a plan or strategy to solve the problem. Then, she carried out the plan and solved the problem. Finally, she checked her answer to see if it made sense and if it was reasonable.

These six steps are often used in problem-solving and are a useful way to approach a problem systematically. By following these steps, one can ensure that all the relevant information is taken into consideration, a plan is developed to solve the problem, and the solution is verified before presenting it as the final answer.

The six steps are:

1. Determining the problem statement.

2. Identifying the main causes of the problem.

3. Developing viable solutions relevant to the problem.

4. Selecting one solution among the options.

5. Applying the solution on the problem at hand.

6. Evaluating the effect of the solution on the problem.

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Answer:

\(\left[\begin{array}{cccccccc}x&-1&0&1&2&3&4&5\\y&5&0&-3&-4&-3&0&5\end{array}\right]\)

Graph B is the matching one.

Step-by-step explanation:

a) For the bottom row of y values, simply fill in the corresponding x value in the equation. E.g., for x=1, you have y = 1² - 4·1 = 1 - 4 = -3 (that one was incorrect in your pic).

b) Keep it simple, check the y value for x=0, it is also 0, so only a graph which passes through (0,0) is the correct one, which is B.

b)  Mr Tan kept 324 eggs.

Let's call the total number of eggs Mr Tan had as "x".

(a) We know that 3 eggs were sold, and we don't know how many were broken, so let's call that number "y". Therefore, the number of eggs Mr Tan kept is:

x - (3 + y)

We also know that he sold the remaining eggs at 6 for $2, which means he sold x - (3 + y) eggs for:

(2/6) * [x - (3 + y)] = (1/3) * [x - (3 + y)] dollars

We are told that he collected $108, so we can set up an equation:

(1/3) * [x - (3 + y)] = 108

Simplifying this equation, we get:

x - (3 + y) = 324

x = 327 + y

So we know that the total number of eggs Mr Tan had was 327 + y.

(b) We can use the information from part (a) to solve for how many eggs Mr Tan kept. We know that 3 eggs were sold and some were broken, so the number of eggs Mr Tan kept is:

x - (3 + y) = (327 + y) - (3 + y) = 324

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The minimum number of swaps required to flip the list is 2.

Array : Generally, in the field of applied sciences, knowledge structures called arrays and typically regarded as just arrays, each containing at least one array-index award or key. Arrays are stored so that formulas can use each component's index tuple to determine the placement of that component within the array.

Given an array with values 5, 10, 15, 20,25

swap reverses the array:

25, 10, 15, 20, 5

25, 20, 15, 10, 5

So, for reversing the number of swaps required list is 2 ..

This may be the smallest variation possible.

Hence, the minimum exchange required to achieve list reversal is two.

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If the balance must be paid in 90 days and the initial date is June 6, then there are 24 days untill June 30, plus 31 days for July makes 61 days. There are 29 days left, therefore, teh payment must be done on August 29.

Answer:

y = -2.8x +69.4

Step-by-step explanation:

Let y represent units of inventory, and x represent days since the last replenishment. We are given points (x, y) = (3, 61) and (13, 33). The line through these points can be described using the 2-point form of the equation of a line:

... y -y1 = (y2-y1)/(x2 -x1)(x -x1)

Filling in the given point values, we have ...

... y -61 = (33 -61)/(13 -3)(x -3)

Simplifying and adding 61, we get ...

... y = -2.8x +69.4

The linear function which best models the relationship between the number of days and remaining inventory is \(y = \frac{-35}{12}x + \frac{50}{3}\) .

A linear function refers to when the dependent variable (usually expressed by 'y') changes by a constant amount as the independent variable (usually 'x') also changes by a constant amount.

According to the given equation

We have a graph which shows the remaining inventory.

In which x represents the number of days and y represents the inventory remaining.

Let y = mx + b be the linear function which represents the relationship between the number of days and the inventory remaining.

Form the given graph if we choose two points (14, 30) and (2, 65) for finding the value of m and b.

Substitute y = 30 and x = 14 in y = mx + b

⇒ \(30 = m(14) + b...(i)\)

Similarly,

substitute y =65 and x =2 in y = mx + b

⇒\(65 = 2m + b..(ii)\)

From equation (i) and (ii)

\(m = \frac{-35}{12}\)

and \(\frac{50}{3}\)

Therefore, \(y = \frac{-35}{12}x + \frac{50}{3}\)

Hence, the linear function which best models the relationship between the number of days and remaining inventory is \(y = \frac{-35}{12}x + \frac{50}{3}\) .

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The probability that the number's units digit will be less than 5 is 0.5 that it is equal to 1/2.

Probability is a branch of mathematics concerned with numerical descriptions of how likely an event is to occur or how likely a statement is to be true. The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates the impossibility of the event and 1 indicates certainty.

There are 10 possible digits, 0, 1, 2, ... 9 that make up the 5-digit number made up of integral values.

There are 5 digits that are less than 5 which are 0, 1, 2, 3, and 4 so the probability will be found by taking only those nubers which have unit's place less than 5,

By probability formula , Probability= no. of favourable outcomes/total no. of outcomes

So probability will be found that will be equal to 5/10, or 1/2

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The probability is approximately 0.9184.

a. The distribution of X, the number of months after January 1 that someone is born, is a uniform distribution from 0 to 12. This means that every value in that range is equally likely.

b. If 38 people are surveyed, the distribution of the sample mean of their birth months can be approximated by a normal distribution (N). The mean of the sample mean will be the same as the mean of the original distribution (which is the midpoint of the uniform distribution, i.e., (0 + 12) / 2 = 6), and the standard deviation of the sample mean will be the standard deviation of the original distribution divided by the square root of the sample size.

The standard deviation of the original uniform distribution can be calculated using the formula:

σ = (b - a) / √12, where 'a' is the lower bound (0) and 'b' is the upper bound (12).

Therefore, the standard deviation (σ) of the original uniform distribution is:

σ = (12 - 0) / √12 ≈ 3.4641

The standard deviation of the sample mean is given by:

σ(sample mean) = σ / √n, where 'n' is the sample size (38).

Therefore, the standard deviation (σ(sample mean)) of the sample mean distribution is:

σ(sample mean) = 3.4641 / √38 ≈ 0.5615

So, the distribution of the sample mean birth month of the 38 people can be approximated by a normal distribution with a mean of 6 and a standard deviation of 0.5615.

c. To find the probability that the average birth month of the 38 people will be more than 5.3, we need to calculate the area under the normal distribution curve to the right of 5.3.

Using a standard normal distribution table or a calculator, we can find the cumulative probability corresponding to the z-score:

z = (x - μ) / σ(sample mean)

z = (5.3 - 6) / 0.5615 ≈ -1.4134

The probability can be calculated as P(X > 5.3) = 1 - P(X ≤ 5.3).

Using the z-score of -1.4134, we can find the cumulative probability as:

P(X ≤ 5.3) ≈ 0.0816

Therefore, the probability that the average birth month of the 38 people will be more than 5.3 is:

P(X > 5.3) = 1 - P(X ≤ 5.3) ≈ 1 - 0.0816 ≈ 0.9184 (rounded to 4 decimal places).

So, the probability is approximately 0.9184.

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