find the slope of the line that contains the points (4,3)and(-6,27)

Answer:

∠ ADB = 59°

Step-by-step explanation:

The vertices of a rectangle are right angles, then

∠ ADB + 31° = 90° ( subtract 31° from both sides )

∠ ADB = 59°

The risk of owning a home in Randolph County based on the given sample can be calculated as:

Risk of owning a home = Number of residents who own a home / Total number of residents in the sample

Risk of owning a home = 59 / 90

Therefore, the risk of owning a home in Randolph County based on the given sample is approximately 0.656 or 65.6%.

Answer:

We could start with the simpler function f(x) = IxI and construct the other function using transformations.

First, an horizontal translation of A units to the right is written as:

g(x) = f(x - A)

And an vertical translation of A units up, is written as:

g(x) = f(x) + A.

Where A is positive and this works for any function f(x).

Then in this case, if we start with:

f(x) = IxI and:

g(x) = Ix - 2I -3

Then:

First we do an horizontal translation of 2 units to the right.

g(x) = f(x - 2) = Ix - 2I

Then we do a vertical translation of -3 units up (or a translation of 3 units down)

g(x) = f(x - 2) - 3 = Ix - 2I - 3

Those two transformations are the ones that relate the graphs of g(x) and f(x)

The Upper Control Limit = 0.151 and Lower Control Limit = 0.001.

Upper Control Limit and Lower Control Limit is defined as control Limits are calculated based on the amount of variation in the process you are measuring. One measure of variation is standard deviation. The mean +/- three standard deviations is an approach that is frequently used to determine control limits.

Given data

Sample number            Number detective                    Size of sample

1                                                5                                                50

2                                                2                                              50

3                                                4                                               50

4                                                6                                               50

5                                                2                                               50

Number of samples (N) = 5

Sample size (n) = 50

For two sigma limit, Z = 2.

Proportion defective (P-bar) = Number of defects / Total Number of observations

P-bar = Number of defects / (Number of samples x Sample size)

P-bar = (5 + 2 + 4 + 6 + 2) / (5 x 50)

P-bar = 19 / 250

P-bar = 0.076

Standard deviation of defective rate (Sp) = SQRT [P-bar x (1 - P-bar)] / n

Sp = SQRT [0.076 x (1 - 0.076)] / 50

Sp = 0.0375

Calculations for the Upper Control Limit (UCL) and Lower Control Limit (LCL) are as follows:

UCL = P-bar + (Z x Sp)

UCL = 0.076 + (2 x 0.0375)

UCL = 0.076 + 0.075

UCL = 0.151

LCL = P-bar - (Z x Sp)

LCL = 0.076 - (2 x 0.0375)

LCL = 0.076 - 0.075

LCL = 0.001

Therefore the  Upper Control Limit = 0.151 and Lower Control Limit = 0.001

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Answer:

C: The skaters are traveling on the same path, but possibly in different directions.

Step-by-step explanation:

edge 2021-2022

Answer:

The skaters are traveling on the same path, but possibly in different directions.

Step-by-step explanation:

Answer:

a) 14

b) green

c) fraction 6/14

percentage: 42.8% rounded: 40%

not sure about the decimal tho

Answer:

a) 14

b) green

c) 6/14

d)percent 42.8 %

round up 40 %

Regarding the exponential function y = 3(2)^x, we have that:

An exponential function is defined as follows:

y = ab^(x/n).

In which the parameters are defined as follows:

The function for this problem is given as follows:

y = 3(2)^x.

Hence the parameters are given as follows:

At x = 3, the numeric value of the function is obtained as follows:

y = 3 x 2^3

y = 3 x 8

y = 24.

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Answer:

the ansewr is 5

Step-by-step explanation:

1 plus 1 equal 5555555

Answer:

B; C; A; B

Step-by-step explanation:

So, let's go through each of the choices.

So we know that one of the angles is 60 degrees.

I) The triangle is scalene.

This might be true. Since there are 180 degrees in a triangle, and we know 60, that leaves 120 degrees. Anything two combinations of different values that add up to 120 will make the triangle scalene. However, if the two values are the same (e.g. 60;60), they it's not scalene. Thus, this might be true.

II) The other two angles add up to 120.

This must be true. The interior angles sum of a triangle is 180. Since we already know one is 60, then the other two must add up to be 180-60 or 120.

III) The other two angles are obtuse.

This cannot be true. We know that there is only 120 degrees left in the triangle. Obtuse angles are greater than 90 degrees.

Therefore, if we subtract the minimum: 120-90, we will get at most 30 left. This is not enough for another obtuse angle. The most we can have is one obtuse angle and two acute angles.

IV) The triangle is right-angled.

This might be true. Since there are 120 degrees left, the other two degrees may be 90 and 30, given us 30-60-90. This, however, doesn't have to be it. So, this statement may be true.

Answer:

Lisa is 5 years old

Step-by-step explanation:

we can make an equation like

4x=15+x

X can represent Lisa’s current age

Now just solve for X

3x=15

x=5

And we can check

If Lisa is 5 years old now

In 15 years she would be 20

And 20 is 4 times as 5 which Is her current age

So Lisa is 5 years old now.

a) We have shown that for every positive integer k, 1/k = 1/(k+1) + 1/(k(k+1)). b) We have found integers a = 2, b = 3, and c = 6 such that 1 = 1/a + 1/b + 1/c. c) The every integer n ≥ 3, there exist n integers a₁, a₂, ..., aₙ such that 1 = 1/a₁ + 1/a₂ + ... + 1/aₙ.

(a) To prove that every positive integer k satisfies 1/k = 1/(k+1) + 1/(k(k+1)), we can start by manipulating the right-hand side of the equation:

1/(k+1) + 1/(k(k+1))

= (k/(k(k+1))) + 1/(k(k+1)) (finding a common denominator)

= (k + 1)/(k(k+1)) (combining the fractions with the same denominator)

= 1/k (canceling out the common factor of (k+1) in the numerator and denominator)

Thus, we have shown that for every positive integer k, 1/k = 1/(k+1) + 1/(k(k+1)).

(b) To prove that there exist integers a < b < c such that 1 = 1/a + 1/b + 1/c, we can choose specific values for a, b, and c. Let's choose a = 2, b = 3, and c = 6:

1/2 + 1/3 + 1/6

= 3/6 + 2/6 + 1/6

= 6/6

= 1

Therefore, we have found integers a = 2, b = 3, and c = 6 such that 1 = 1/a + 1/b + 1/c.

(c) To prove that for every integer n ≥ 3, there exist n integers a₁, a₂, ..., aₙ such that 1 = 1/a₁ + 1/a₂ + ... + 1/aₙ, we can use the following construction:

Choose a₁ = 2, a₂ = 3, and a₃ = 6 as shown in part (b) above.

Now, for the remaining integers a₄, a₅, ..., aₙ, we can choose them to be equal to the least common multiple (LCM) of a₁, a₂, ..., aₙ₋₁. This guarantees that each term 1/aₖ, where k > 3, will have the same denominator and can be added to the other terms.

Since the LCM is a multiple of each of the previous integers, it is guaranteed that the sum of the reciprocals will be equal to 1.

Therefore, for every integer n ≥ 3, there exist n integers a₁, a₂, ..., aₙ such that 1 = 1/a₁ + 1/a₂ + ... + 1/aₙ.

The complete question is:

(a) Prove that every positive integer k satisfies 1/k=1/(k+1) + 1/ (k(k+1)).

(b) Prove that there exist integers a <b<c such that 1 = 1/a + 1/b + 1/c.

(c) Prove that for every integer n ≥ 3 there exist n integers \(a_1,a_2,.....,a_n\) such that \(1=1/a_1+1/a_2+.....1/a_n\)

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In most geometry issues, the most popular approach is to utilize a compass and a ruler.

Simply lock that length into the compass by setting it to a setting that is greater than 1/2 but less than the length of the line segment.

The next step is to draw an arc using the compass on the first and second points so that the first and second arcs cross above and below the line segment. Mark the intersections of the two arcs with "up" and "down," "right" or "left," or any other designation.

When a line is drawn between the two arc intersections, it not only bisects the original line segment but also forms a perpendicular line segment to it.

The line segment has now been split into two identical parts. You will have separated the line segment into 4 equal sub-segments if you repeat this process on the first and second sub-segments.

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If it is impossible for events A and B to occur simultaneously, the events are said to be mutually exclusive. For such events, P(A or B) is equal to the sum of the individual probabilities of events A and B.

In other words, if A and B are mutually exclusive events, the probability of A or B occurring is equal to the sum of the probabilities of A and B individually.

Mathematically, P(A or B) = P(A) + P(B).

This holds true because when two events are mutually exclusive, the occurrence of one event excludes the possibility of the other event happening at the same time. Therefore, there is no overlap in the outcomes, and we can simply add their probabilities to calculate the probability of either event occurring.

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Answer: This refers to the number assigned to a unit within a building, where applicable. ... The first two digits refer to the floor level the unit is located on, while the numbers after the hyphen sign refer to the allotted number for the particular unit.

Step-by-step explanation:

Answer:

f(x), g(x), h(x)

Step-by-step explanation:

f(x) = x² + 6x - 1 = (x+3)² - 10          (-3 , 10)         y=-3

g(x) = -x² + 2 = -(x-0)² + 2               (0 , 2)          y=0

h(x) = 2x² - 4x + 3 = 2 (x-1)² + 1       (1 , 1)            y=1

I think it equals 18 tens

Answer:

3 x 60 x 30 = 5400

Step-by-step explanation:

Answer:

1.5.7909 2. 6.724 3. 9.296 4. 1.416 5. 4.838 6. 1.784 7. 2.793 8. 2.793

Step-by-step explanation: these are the planets in order hope this helps

The converted distances in scientific notation are \(5.7909 * 10^{14}\),\(6.724 * 10^{ 14}\), \(9.296 * 10^{14}\), \(1.416 * 10^{16}\), \(4.838 * 10^{16}\), \(8.907 * 10^{16}\), \(1.784 * 10^{18}\) and \(2.793 * 10^{18}\).

Scientific notation is a way of expressing numbers that are too large or too small to be conveniently written in decimal form.

The scientific notation have two parts i.e. a appropriate number multiplied by an appropriate power.

Converted distances in scientific notation are;

Mercury \(= 5.7909 * 10^{14}\)

Venus \(= 6.724 * 10^{ 14}\)

Earth \(= 9.296 * 10^{14}\)

Mars \(= 1.416 * 10^{16}\)

Jupiter \(= 4.838 * 10^{16}\)

Saturn \(= 8.907 * 10^{16}\)

Uranus \(= 1.784 * 10^{18}\)

Neptune \(= 2.793 * 10^{18}\)

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Answer:

8 plates per stack

Step-by-step explanation:

Answer:

8 plates per stack

Step-by-step explanation:

if wrong I am so sorry

Using the Bayes' theorem, we find the probability that the transferred ball was white given that the second ball drawn was white to be 52/89, or approximately 0.5843.

To solve this problem, we can use Bayes' theorem, which relates the conditional probability of an event A given an event B to the conditional probability of event B given event A:

P(A|B) = P(B|A) * P(A) / P(B)

where P(A|B) is the probability of event A given that event B has occurred, P(B|A) is the probability of event B given that event A has occurred, P(A) is the prior probability of event A, and P(B) is the prior probability of event B.

In this problem, we want to find the probability that the transferred ball was white (event A) given that the second ball drawn was white (event B). We can calculate this probability as follows:

P(A|B) = P(B|A) * P(A) / P(B)

P(B|A) is the probability of drawing a white ball from urn b given that the transferred ball was white and is now in urn b. Since there are now six white balls and three black balls in urn b, the probability of drawing a white ball is 6/9 = 2/3.

P(A) is the prior probability of the transferred ball being white, which is the number of white balls in urn a divided by the total number of balls in urn a, or 6/13.

P(B) is the prior probability of drawing a white ball from urn b, which can be calculated using the law of total probability:

P(B) = P(B|A) * P(A) + P(B|not A) * P(not A)

where P(B|not A) is the probability of drawing a white ball from urn b given that the transferred ball was black and P(not A) is the probability that the transferred ball was black, which is 7/13.

To calculate P(B|not A), we need to first calculate the probability of the transferred ball being black and then the probability of drawing a white ball from urn b given that the transferred ball was black.

The probability of the transferred ball being black is 7/13. Once the transferred ball is moved to urn b, there are now five white balls and four black balls in urn b, so the probability of drawing a white ball from urn b given that the transferred ball was black is 5/9.

Therefore, we can calculate P(B) as follows:

P(B) = P(B|A) * P(A) + P(B|not A) * P(not A)

= (2/3) * (6/13) + (5/9) * (7/13)

= 89/117

Now we can plug in all the values into Bayes' theorem to find P(A|B):

P(A|B) = P(B|A) * P(A) / P(B)

= (2/3) * (6/13) / (89/117)

= 52/89

Therefore, the probability that the transferred ball was white given that the second ball drawn was white is 52/89, or approximately 0.5843.

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The average daily balance at the end of the month will be $1,000.00 (option C).

To calculate the average daily balance, we need to determine the total balance over the 30-day period and divide it by the number of days (30) to get the average.

The daily balance for the first 10 days is $500, for the next 10 days is $1,000, and for the last 10 days is $1,500.

To find the total balance, we can multiply each daily balance by the number of days it was held:

Total balance = (10 days * $500) + (10 days * $1,000) + (10 days * $1,500)

Total balance = $5,000 + $10,000 + $15,000

Total balance = $30,000

Now we divide the total balance by the number of days (30) to find the average daily balance:

Average daily balance = Total balance / Number of days

Average daily balance = $30,000 / 30

Average daily balance = $1,000

Therefore, the average daily balance at the end of the month will be $1,000.00 (option C).

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Answer:

5n-3

Step-by-step explanation:

hope i am right

The best description of how to find the equation of the line is: D. BD/DA = CE/CA, so 4/2 = y - 3/x ; solve for y to get y = 2x + 3.

To find the equation of a line, find the slope of the line, using the equation: Slope (m) = change in y/change in x = vertical distance/horizontal distance along a line.

The slope of any two points on a line will be the same with any other two points on the same line. Therefore, the slope of the line in the given diagram is calculated as:

Slope (m) = BD/DA = CE/CA

Substitute

4/2 = y - 3/x

2(y - 3) = 4x

y - 3 = 4x/2

y - 3 = 2x

y = 2x + 3

Therefore, the best description of how to find the equation of the line is: D. BD/DA = CE/CA, so 4/2 = y - 3/x ; solve for y to get y = 2x + 3.

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Positive correlation means that both variables tend to increase (or decrease) together. Thus, Option A is the answer.

Positive correlation refers to a relationship between two variables in which an increase in one variable is associated with an increase in the other variable. Negative correlation, on the other hand, refers to a relationship in which an increase in one variable is associated with a decrease in the other variable. No correlation means that there is no relationship between the two variables.

To determine the strength of a correlation, we can use a statistical measure called the correlation coefficient, which ranges from -1 to 1. A correlation coefficient of 1 indicates a perfect positive correlation, a correlation coefficient of -1 indicates a perfect negative correlation, and a correlation coefficient of 0 indicates no correlation.

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Answer:

can you explain the question?

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

5-7 where be -2 because 7 is More powerful than 5 so 7 push 5 all the way back to -2

Answer:

yes, this is a function

JL, LK, JK are the smallest angle of a triangle is located across from its smallest side. The biggest side is on the other side of the biggest side.

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Answer:

Exact Form:

7/2

Decimal Form:

3.5

Mixed Number Form:

3 (1/2)

I hope this helps! :)

0 degrees Celsius + 0 degrees Celsius = 0 degrees Celsius = 32 degrees Fahrenheit.

To convert Celsius to Fahrenheit, we use the formula:

°F = (°C × 9/5) + 32

Let's calculate the conversion for 0 degrees Celsius:

°F = (0 × 9/5) + 32

°F = 0 + 32

°F = 32

Therefore, 0 degrees Celsius is equal to 32 degrees Fahrenheit.

Now, let's consider the addition of 0 degrees Celsius and 0 degrees Celsius:

0 degrees Celsius + 0 degrees Celsius = 0 + 0 = 0

Since 0 degrees Celsius is equivalent to 32 degrees Fahrenheit, the sum of 0 degrees Celsius and 0 degrees Celsius is 0, not 64 degrees Fahrenheit.

So, 0 degrees Celsius + 0 degrees Celsius = 0 degrees Celsius = 32 degrees Fahrenheit.

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