a red die, a blue die are rolled and the numbers that show are recorded. how many different outcomes are possible

Answer:

quadrilateral ABCD is not congruent to quadrilateral KLMN. quadrilateral ABCD cannot be mapped onto quadrilateral KLMN through a series of rotations, reflections or translations.

The probability that a randomly selected passenger has a waiting time greater than 4.25 minutes is 0.5278

The uniform distributed between a and b minutes.

The probability of finding a value above x is:

P(X > x) = \(\frac{b-x}{b-a}\)

The time is evenly distributed between 0 and 9 minutes.

This implies that a=0 , b=9

Determine the likelihood that a randomly selected passenger will have to wait longer than 4.25 minutes.

p(X > 4.25) = \(\frac{9-4.25}{9-0}\)

                 = 0.5278

There is a 52.78% chance that a randomly selected passenger will have to wait longer than 4.25 minutes.

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Answer:

20

Step-by-step explanation:

pilot flew a 400-mile flight in 2.5 hours flying into the wind . Flying the same rate and with the same wind speed, the return trip took only 2hours with a tailwind

The speed can be defined as the ratio distance over time, but in this case the pilot is flying at the speed of the plane as well of speed of the wind. We can denote speed of plane as "s" and speed of the wind as "k"

Then the speed of the plane=(s-k) this is because it is moving in the opposite direction of the wind.

But From the question, the plane distance=400mile and the corresponding time =2.5 h

Then the speed of the plane=(s-k) =400mile/2.5

=160mph

By the time it return from trip, the speed the plane flew with is (s+k) because the wind is at the rear.

From the question, the plane distance=400mile and the corresponding time =2 h

Then (s+k)= (400/2)

(s+k)=200mph

When summarizing heavily skewed data, the best measure of central tendency is the median.

In situations where the data distribution is heavily skewed, the mean may not accurately represent the central tendency of the data. Skewness refers to the asymmetry of the data distribution, where the tail of the distribution extends more to one side. When data is heavily skewed, it can be influenced by extreme values, leading to an unbalanced representation of central tendency if the mean is used.

The median, on the other hand, is less affected by extreme values and provides a better measure of central tendency for skewed data. The median represents the middle value in a data set when the observations are arranged in ascending or descending order. Unlike the mean, it is not influenced by extreme values, making it a robust measure for summarizing skewed data.

By using the median, we can capture the central value that is more representative of the majority of the data points, even in the presence of outliers or skewed distributions. It provides a better understanding of the typical value or position within the data set, regardless of extreme values or asymmetric distributions.

Therefore, when summarizing heavily skewed data, the median is considered the best measure of central tendency as it provides a more accurate representation of the center of the distribution and is less influenced by extreme values.

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Answer:

(x, y ) → (x - 4, y + 8 )

Step-by-step explanation:

4 units left in the x- direction means subtract 4 from the x- coordinate

8 units up in the y- direction means add 8 to the y- coordinate

Then the translation rule is

(x, y ) → (x - 4, y + 8 )

Answer:  \(4.14 \times 10^9\)

Explanation:

Place the decimal point between the first two digits to get 4.14

Now ask yourself: How many places must we move the decimal point to go from 4.14 back to 4,140,000,000?

The answer is 9 places to the right.

This means we'll have 9 as the exponent over the 10

\(4,140,000,000 = 4.14 \times 10^9\)

It will take Pamela and Kevin 8 hours to complete the task together, less than the total time it would take them to complete it if they worked alone.

This can be calculated using the formula for calculating the time it takes two people to complete a task:

Time = (1/A + 1/B)^-1

Where A is Pamela's time to complete the task (12 hours) and B is Kevin's time to complete the task (20 hours).

Time = (1/12 + 1/20)^-1

Time = (5/60)^-1

Time = 60/5

Time = 8 hours

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Answer:

in \(5^{9}\), 9 is not an even number, nor a multiple of 2, meaning 1,953,125 isn't a square number  

Step-by-step explanation:

Answer:

Photosynthesis is a process used by plants and other organisms to convert light energy into chemical energy that, through cellular respiration, can later be released to fuel the organism's metabolic activities. Wikipedi

Answer:

127 degrees

Step-by-step explanation:

If <1 is 53 degrees, then its vertical angle is also 53 degrees. Same side interior angles are supplementary which means they add up 180 degrees.

180 - 53 = 127

Answer:

54 minutes

Step-by-step explanation:

4 Dozen is 48

So we will need to know how many 18 minutes it takes to back 144 donuts

So divide 144 by 48

Which is 3

So you will need 3, 18 minutes to make 144 donuts

Now multiply 18 by 3 which is 54

So it takes 54 minutes to bake 144 donuts

Hope this helps!

Step-by-step explanation:

4 Dozen = 4 x 12 = 48 every 18 minutes

144/48 = 3

3 x 18 = 54 minutes

The function is -|x+3|. The range is (-∞,0].

Given that,

The function is -|x+3|

We must determine the function's range.

A function's domain and range are its constituent parts. The domain of a function is the set of all possible input values, whereas the range of a function is its potential output. Range, Domain, and Function. A is the domain and B is the co-domain if a function f: A → B exists that maps every element of A to an element in B.

The function is -|x+3|

The domain is (-∞,∞)

The range is (-∞,0]

Therefore, the range is (-∞,0].

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Answer:

∠A≅∠Y        AB≅YZ

∠B≅∠Z          AC≅YX

∠C≅∠X         BC≅ZX

ΔABC ≅ ΔYZX

Step-by-step explanation:

congruent is identical in form so if the angle has one dash than look for the identical version on the other triangle

The smallest number of cards Joshua must take out of the box, without looking, to be sure that he takes at least one of each of them is 3.

To ensure that Joshua takes at least one of each baseball card without looking, he needs to consider the scenario that minimizes the number of cards he takes out. Since the goal is to have at least one Red Sox card, one Mets card, and one Cardinal card, Joshua can initially pick one card from each team, which totals to three cards.

Therefore, Joshua must take out a minimum of three cards from the box to guarantee that he has one of each team's card.This scenario assumes that the first three cards he picks are from each team.

If Joshua is lucky and happens to pick a Red Sox card, a Mets card, and a Cardinal card in his first three attempts, he can stop there. However, in the worst-case scenario, Joshua might need to pick additional cards until he obtains a card from each team.

Nonetheless, the minimum number of cards he must take out initially remains at three.

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Answer:

1/3

Step-by-step explanation:

12-8=4

4/12 = 1/3

The sampling error is usually smaller with larger samples and decreases as the sample size increases.

When we talk about sampling error, we refer to the discrepancy or difference between the sample statistic (e.g., mean, proportion) and the population parameter it is intended to estimate. The sampling error arises due to the inherent variability in the data and the fact that we are working with a sample rather than the entire population.

By increasing the sample size, we are capturing a more extensive representation of the population, reducing the impact of random variation. As a result, the estimate tends to be more accurate and closer to the true population parameter.

Therefore, larger samples tend to have smaller sampling errors.

It's important to note that although increasing the sample size generally reduces sampling error, there may be other factors to consider, such as the sampling design, representativeness of the sample, and the quality of data collection, which can also influence the accuracy of the estimate.

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Answer:x=1, y=2, z=-1

Step-by-step explanation:

x = 1; y = 2; z = -1

This involves solving simultaneous equations using elimination method.

x + y - 2z = 5  - - - (eq 1)

-x + 2y + z = 2 - - - (eq 2)

2x + 3y – z = 9 - - - (eq 3)

x + y - 2z = 5  - - - (eq 4)

-3x + 6y + 3z = 6 - - - (eq 5)

2x + 3y – z = 9 - - - (eq 6)

Add eq 4, 5 & 6 together to get;

10y = 20

y = 20/10

y = 2

-x - y + 2z = - 5  - - - (eq 7)

-x + 2y + z = 2 - - - (eq 8)

2x + 3y – z = 9 - - - (eq 9)

Add eq 7, 8 and 9 together to get;

4y + 2z = 6

From earlier, we saw that y = 2. Thus;

4(2) + 2z = 6

8 + 2z = 6

2z = 6 - 8

2z = -2

z = - 2/2

z = - 1

Putting -1 for z and 2 for y into;

x + y - 2z = 5  

Gives; x + 2 - 2(-1) = 5

x + 4 = 5

x = 5 - 4

x = 1

Thus; x = 1; y = 2; z = -1

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If the sample of bacteria is growing at an hourly rate of 15% continuously and the  bacteria began with 11 bacteria then there will be 244.178 samples bacteria after 21 hours.

Given growth of bacteria 15% ,bacteria at beginning 11.

We have to find the number of sample of bacteria after 21 hours.

We have to first form exponential function which shows the growth of bacteria in variable t.

Exponential function which shows the sum is y=P\(e^{rt}\)

where P is initial amount ,

r is rate and

y is the sum

So in our problem P=11 and r=0.15

y=11*\(e^{0.15t}\)

To find the  samples after 21 hours we have to put t=21.

y=11\(e^{0.15*21}\)

y=11*\(e^{3.1}\)

y=11*22.198  (\(e^{3.1}\)=22.198 from e table)

y=244.178

Hence the samples after 21 hours will be 244 approximately.

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Answer: k = -4

Step-by-step explanation: Hope this helps ^^

Answer:

(7, -1)

Step-by-step explanation:

3x + 7y = 14

y = x - 8

3x + 7(x - 8) = 14

3x + 7x - 56 = 14

10x - 56 = 14

Add 56 to both sides.

10x = 70

Divide both sides by 10.

x = 7

3(7) + 7y = 14

21 + 7y = 14

Subtract 21 from both sides.

7y = -7

Divide both sides by 7.

y = -1

(7, -1)

The probability of at most six individuals in the sample having used a discount broker is calculated to be approximately 0.997.

To solve this problem, we need to use the binomial distribution formula. Let X be the number of individuals in the sample who have used a discount broker. Then, X follows a binomial distribution with parameters n = 9 and p = 0.3.

The probability of at most six individuals in the sample having used a discount broker can be calculated as follows:

P(X ≤ 6) = P(X = 0) + P(X = 1) + P(X = 2) + ... + P(X = 6)

Using a binomial probability table or calculator, we can find the individual probabilities and sum them up. Alternatively, we can use a normal approximation to the binomial distribution if the sample size is large enough (np and n(1-p) are both greater than 5).

Using the normal approximation, we have:

mean = np = 9 x 0.3 = 2.7

variance = np(1-p) = 9 x 0.3 x 0.7 = 1.89

standard deviation = √(variance) = 1.374

To standardize the distribution, we calculate the z-score:

z = (6.5 - 2.7) / 1.374 = 2.75

Using a standard normal distribution table or calculator, we find that the probability of a z-score less than or equal to 2.75 is approximately 0.997.

Therefore, the probability of at most six individuals in the sample having used a discount broker is approximately 0.997.

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The complete question is :

What is the probability that in a random sample of nine individual investors, at most six have used a discount broker, given that the American Society of Investors survey found that 30% of individual investors have used a discount broker?

Answer:

24

Step-by-step explanation:

4+3+1+3+4+3+1+3=24

The slope of the line that pass through the coordinate points (-2, -6) and (3, -70) is equivalent to -1/5

The slope of a line is defined as the ratio of rise to run of the line. The formula for calculating the slope of a line is given as;

Slope = rise/run

The slope can also be expressed as the change in y-axis to x-axis of a line

Slope = y2-y1/x2-x1

Given the following coordinate points (-2, -6) and (3, -7)

Substitute the given parameters into the formula

Slope = -7-(-6)/3-(-2)

Slope = -7+6/3+2
Slope = -1/5

Hence the slope of the line that pass through the coordinate points (-2, -6) and (3, -70) is equivalent to -1/5

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The range of the function y=-16t²+24t+2 is y ≤ 11.

What is the definition of a function?

A function is a mathematical relationship between a set of inputs and a set of outputs, where each input is associated with a unique output. In other words, it is a rule or process that assigns exactly one output value to each input value. The input values are typically represented by the variable x, while the output values are represented by the variable y. Functions are often written in the form y = f(x), where f is a symbol representing the function.

Now,

The given function is:

y = -16t² + 24t + 2

To find the range, we can find the vertex of the parabola. The vertex will be

t = -b/2a

where a = -16, b = 24.

Substituting the values, we get:

t = -24/(2*(-16))

t = -24/-32

t = 0.75

Substituting t = 0.75 in the given function, we get:

y = -16(0.75)² + 24(0.75) + 2

y = -9 + 18 + 2

y = 11

Therefore, the vertex of the parabola is (0.75, 11). Since the parabola opens downwards, the range is y ≤ 11. Thus, the relative range of the given function is y ≤ 11.

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Answer:

The slope is 2/3

Step-by-step explanation:

To get from one dot to the next...

You go up 2 units and to the right 3 units

The area of the object is approximately 356.72 square units. The radius is half of the diameter 10.65.

To find the area of an object with a diameter of 21.3, we need to determine the radius first. The radius is half of the diameter.

Radius = Diameter / 2

Radius = 21.3 / 2

Radius = 10.65

Once we have the radius, we can calculate the area of a circle using the formula:

Area = π * radius^2

Substituting the value of the radius into the formula:

Area = π * (10.65)^2

Using an approximation of π as 3.14159, we can calculate the area:

Area ≈ 3.14159 * (10.65)^2

Area ≈ 3.14159 * 113.4225

Area ≈ 356.71692

Rounding to an appropriate number of decimal places, the area of the object is approximately 356.72 square units.

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The prompt is asking to calculate control limits for a chart that will monitor process consistency of thermostats. Results from the last five samples are provided in a table.

Control limits are statistical limits used to monitor the variability of a process and determine whether the process is stable or not. The control limits are typically set at three standard deviations above and below the mean of the process data. The correct control limits for this chart will depend on the data and can be calculated using statistical software or formulas.

Control limits are a statistical tool used to monitor the variability of a process over time. The control limits are typically set at three standard deviations above and below the mean of the process data. The purpose of control limits is to identify whether the process is stable and consistent or whether it is experiencing random variation or other issues that need to be addressed.

To calculate the control limits for the thermostat manufacturing process, the first step is to calculate the mean and standard deviation of the last five samples. This can be done using statistical software or formulas. Once the mean and standard deviation are calculated, the control limits can be set at three standard deviations above and below the mean.

It is important to note that control limits are not the same as specification limits, which are the limits set by the customer or regulatory agency for the product or service being produced. Control limits are used to monitor the process and ensure that it is operating within a range of variability that is acceptable and predictable.

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Answer:

55

Step-by-step explanation:

m=8

then 6x8=48

n=7

then 1x7 is 7

48+7=55

Answer:

55

Step-by-step explanation:

6m+n

6(8)+7=?

48 + 7= 55

Always multiply and divide first. Then addition and subtraction.

The table layout and relationship structure of a relational database is called its schema.

A schema in a relational database refers to the overall structure and organization of tables, their attributes (columns), and the relationships between them. It defines the blueprint for how the data is organized and stored in the database.

The schema includes information such as the table names, column names, data types, constraints, and the relationships established through keys (such as primary keys and foreign keys). It provides a logical representation of the database structure and helps ensure data integrity and consistency.

The schema serves as a guide for creating, modifying, and querying the database tables. It defines the structure that enforces rules and relationships between tables, facilitating data manipulation and retrieval.

By designing a well-defined schema, database administrators and developers can establish the foundation for efficient data storage, retrieval, and management within a relational database system.

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Answer:-

The answer is \( \sf \huge \underline \red{No}\) , Because If it's a regular polygon, then the sum of it's exterior angles is add up to 360°.