work out: 2+3+4+5 (2+3+4+5)​

Answer:

y = 2x-5

Step-by-step explanation:

y-3 = 2(x-4)    [I assume this is the equation]

y-3 = 2x-8

y = 2x-5

Answer:

see below

Step-by-step explanation:

The sum of the interior angles of any polygon can be found with the formula 180(n - 2) where n = number of sides. In this case, n = 6 so the answer is 180(6 - 2) = 180 * 4 = 720°.

Answer:

The sum of the interior angles of a regular hexagon is 720°

Step-by-step explanation:

As we know that the sum of interior angle is 180(n-2). So the number of sides of hexagon is 6. Now, 180(6-2)=180*4=720°

Answer:

She lost 7.5 %

Step-by-step explanation:

Here is my step by step explanation:

First you want to find out how much percentage 325,600 is compared to the original cost.

In order to do this you simply divide the two numbers by each other.

325000/325600 = 0.925 => 92.5 %

Now since 352000 was the original price that would be 100 %

So all you have to do to find the difference of them is to subtract the two percentages.

100 % - 92.5 % = 7.5 %

Therefore Mel lost 7.5 percentage of money of the original house price

Therefore, the lengths of the sides of quadrilateral HIJK are √(65),  13, √(65), and √(52).

A quadrilateral is a polygon with four sides and four vertices. The sum of the interior angles of a quadrilateral is always equal to 360 degrees. There are many different types of quadrilaterals, including squares, rectangles, parallelograms, trapezoids, rhombuses, and kites. Each type of quadrilateral has its own unique properties, such as having four equal sides (square), having opposite sides parallel (parallelogram), or having two pairs of equal adjacent sides (kite). Quadrilaterals can be classified based on their sides, angles, or both.

Here,

The point H has coordinates (-5, 6), which means it is located 5 units to the left of the y-axis and 6 units above the x-axis. The point I has coordinates (3, 4), which means it is located 3 units to the right of the y-axis and 4 units above the x-axis. The point J has coordinates (0, -8), which means it is located at the intersection of the x-axis and the y-axis, but 8 units below the x-axis. Finally, the point K has coordinates (-7, -2), which means it is located 7 units to the left of the y-axis and 2 units below the x-axis.

We can see that HIJK is a general quadrilateral, meaning that it does not have any special properties like being a rectangle or a parallelogram. We can find the lengths of its sides and the measures of its angles by using the distance formula and the slope formula, respectively. The distance formula gives us the distance between any two points (x1, y1) and (x2, y2):

distance = √((x2 - x1)² + (y2 - y1)²)

The slope formula gives us the slope of a line passing through two points (x1, y1) and (x2, y2):

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

Using these formulas, we can find that the lengths of the sides of HIJK are:

HI = √((3 - (-5))² + (4 - 6)²) = √(65)

IJ = √((0 - 3)² + (-8 - 4)²) = √(169) = 13

JK = √((-7 - 0)² + (-2 - (-8))²) = √(65)

KH = √((-7 - (-5))² + (-2 - 6)²) = √(52)

We can also find the slopes of the lines passing through each pair of adjacent vertices:

The slope of line segment HI passing through points H and I is:

(4 - 6) / (3 - (-5)) = -1/2.

The slope of line segment IJ passing through points I and J is:

(-8 - 4) / (0 - 3) = 4/3.

The slope of line segment JK passing through points J and K is:

(-2 - (-8)) / (-7 - 0) = 6/7.

The slope of line segment KH passing through points K and H is:

(6 - (-2)) / (-5 - (-7)) = 4/3.

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Complete question:

Quadrilateral HIJK has vertices at H(-5,6), I(3,4), J(0,-8), and K(-7,-2). find the length of sides as well as the slopes.

Answer: for areas

1. (B+7)(a)

2.(c-12)(b)

3.(d+1)(2c)

4. (E-5)(5d)

5. (7e)(5e)

6. (6f+2)(3f)

7.(5g+3)(4g)

For perimeters

1. 2(b+7)+ 2(a)

2. 2(c-12) +2(b)

3. 2(d+1)+2(2c)

4. 2(e-5) +2(5d)

5. 2(5e+7e)

6. 2(6f+2) +2(3f)

7. 2(5g+3) +2(4g)

Step-by-step explanation: I just substituted in the values for the formulas. I hope this helps;)

The given property of X, known as the memory-less property, implies that X is a geometrically distributed random variable with some parameter p € (0,1).

To prove this, let X be a non-negative integer-valued random variable with the memory-less property. We can compute the following probability:

P(X = k+j | X > k) = P(X = k+j) / P(X > k)

By applying the memory-less property, we get:

P(X = k+j | X > k) = P(X > j)

Rearranging the above equation, we have:

P(X > j) = P(X = k+j) / P(X > k)

Solving for P(X = k+j), we get:

P(X = k+j) = P(X > j) * P(X > k)

Now, we can express P(X = k+j) in terms of p, the probability of success, as follows:

P(X = k+j) = (1-p)^{j+1} * (1-p)^{k}

Therefore, we see that X is a geometrically distributed random variable with parameter p € (0,1).

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Answer:

ur mom reminds me of my dad lol

Step-by-step explanation:

This is your perfect answer

Based on this evaluation, the correct answer is:

d. "false : 14 is 104"

The value of 's' after the given statement can be determined by evaluating each part of the expression step by step:

1. Evaluate (!true): Since 'true' is negated using the '!' operator, this expression becomes 'false'.

2. Concatenate " : " to "false": The resulting string also becomes "false : ".

3. Calculate (10 + 4): This arithmetic expression is equals to  14.

4. Concatenate "14" to "false : ": The resulting string becomes equal to "false : 14".

5. Finally, concatenate " is 104" to "false : 14": The final value of 's' becomes "false : 14 is 104".

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XVIII means 18 in Roman numerals

Roman numerals are defined as a numeral system that originated in ancient Rome and is the usual way of writing numbers throughout Europe and into the Late Middle Ages.

They are used to represent fixed positive numbers, we have some as;

From the information given, we have that;

XVIII

10 + 5 + 1 + 1 + 1

Add the values, we get;

18

Hence, the value is 18

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NORAL follows a hyperbolic path.

Equation of hyperbola; x²/6400 + y²/33600 = 1

Given,

The coordinates where the two NAROL transmitters are located = (-200, 0) and (200, 0)

The distance from receiver to these transmitters = 160 miles

We have to find the standard form of the hyperbola that the receiver sits on ;

Here,

The transmitters behave as foci of the hyperbola.

The center of hyperbola; (h, k) = (0, 0)

The distance from center to focal point,

c = 200

Square both sides

c² = 40,000

The distance from the receiver to the transmitters  is given as:

2a = 160

Divide both sides by 2

a = 80

Square both sides

a² = 6400

We have:

b² = c² - a²

This gives

b² = 40000 - 6400

b² = 33600

The equation of a hyperbola is:

(x - h)²/a² + (y - k)²/b² = 1

So, we have:

(x - 0)²/6400 + (y - 0)²/33600 = 1

Therefore,

The equation of the hyperbola is:

x²/6400 + y²/33600 = 1

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Answer:

60%

Step-by-step explanation:

I hopes this helps.

The method involves using the terms p(n+2), p(n+1), and pn to obtain an accelerated estimate of the limit. Without these terms, we cannot apply Aitken's method accurately.

To generate the first five terms of the sequences using Aitken's Δ² method, we'll apply the recurrence relation for each given sequence. Here are the calculations for each case:

(a). Sequence: pn = (2 - e * pn-1 + pn-1^2) / 3, n ≥ 1, with p0 = 0.5

Term 1: p1 = (2 - e * p0 + p0^2) / 3 = (2 - e * 0.5 + 0.5^2) / 3

Term 2: p2 = (2 - e * p1 + p1^2) / 3

Term 3: p3 = (2 - e * p2 + p2^2) / 3

Term 4: p4 = (2 - e * p3 + p3^2) / 3

Term 5: p5 = (2 - e * p4 + p4^2) / 3

Perform the above calculations to find the exact values of p1, p2, p3, p4, and p5.

(b). Sequence: pn = (e * pn-1 / 3)^(1/2), n ≥ 1, with p0 = 0.75

Term 1: p1 = (e * p0 / 3)^(1/2)

Term 2: p2 = (e * p1 / 3)^(1/2)

Term 3: p3 = (e * p2 / 3)^(1/2)

Term 4: p4 = (e * p3 / 3)^(1/2)

Term 5: p5 = (e * p4 / 3)^(1/2)

Perform the above calculations to find the exact values of p1, p2, p3, p4, and p5.

(c). Sequence: pn = 3 - pn-1, n ≥ 1, with p0 = 0.5

Term 1: p1 = 3 - p0

Term 2: p2 = 3 - p1

Term 3: p3 = 3 - p2

Term 4: p4 = 3 - p3

Term 5: p5 = 3 - p4

Perform the above calculations to find the exact values of p1, p2, p3, p4, and p5.

(d). Sequence: pn = cos(pn-1), n ≥ 1, with p0 = 0.5

Term 1: p1 = cos(p0)

Term 2: p2 = cos(p1)

Term 3: p3 = cos(p2)

Term 4: p4 = cos(p3)

Term 5: p5 = cos(p4)

Perform the above calculations to find the exact values of p1, p2, p3, p4, and p5.

Please note that to apply Aitken's Δ² method, we would need additional terms from the sequence to calculate the acceleration factor.

The method involves using the terms p(n+2), p(n+1), and pn to obtain an accelerated estimate of the limit. Without these terms, we cannot apply Aitken's method accurately.

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Complete question is,

The following sequences are linearly convergent. Generate the first five terms of the sequence {p^n}{p^​n​} using Aitken’s Δ² method.

a. p0=0.5, pn=(2−epn−1+pn−12)/3,n≥1

b. p0=0.75, pn=(epn−1/3)1/2,n≥1

c. p0=0.5, pn=3−pn−1,n≥1

d. p0=0.5, pn=cos⁡pn−1,n≥1

The equation of the line that passes through the points (−8, −10) and (6, 3)in slope-intercept form is y = (13/14) x - 18/7.

The equation of a line can be expressed in three different forms: standard form, slope-intercept form, and point-slope form.

The slope-intercept form of the equation of a line is given by the formula:

y = mx + b

where m is the slope of the line

b is the y- intercept

Given the two points, (−8, −10) and (6, 3), get the slope of the line using the formula:

m = (y₂ - y₁) / (x₂ - x₁)

m = (3 - -10) / (6 - -8)

m = 13 / 14

Using the slope-intercept form, plug in the value of the slope and one point to determine the y-intercept, b.

y = mx+ b

-10 = (13/14)(-8) + b

b = -18/7

Substitute the value of the slope and y-intercept in the slope-intercept form.

y = mx + b

y = (13/14) x - 18/7

Hence, the equation of the line in slope-intercept form is y = (13/14) x - 18/7.

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Answer:

5.9

Step-by-step explanation:

The distance between a point A and a point B is A-B.  (4.5) - (-1.4) is the same as 4.5 + 1.4 so your answer is 5.9

Answer:

Step-by-steDistance between

(

−

4.5

,

−

4.5

)

and  

(

3.5

,

3.5

)

 is

8

√

2p explanation:

Hence distance between

(

−

4.5

,

−

4.5

)

and

(

3.5

,

3.5

)

is given by

√

(

3.5

−

(

−

4.5

)

)

2

+

(

3.5

−

(

−

4.5

)

)

2

=

√

8

2

+

8

2

=

√

64

+

64

=

√

128

=

√

8

2

×

2

=

8

√

2

2 hours 30 minutes

Step-by-step explanation:

60/90=100/x

60x=9000

x=150 minutes or 2 hour 30 minutes

Answer:

2 hours 30 minutes

Step-by-step explanation:

Speed = Distance/Time

Time = Distance/Speed

The car covers 60Km in 1 hour 30 minutes i.e. 90 minutes:

Speed = 60Km*60/90 mins

= 40km/hr

To cover 100 km at the same speed, i.e.:

Time = 100Km/40km/hr

= 2.5 hrs

= 2 hours 30 minutes

This couple can expect to have 3.75 children until they have 3 boys. (a)To calculate the probability that the couple has 5 children until they have 3 boys, we need to consider the possible outcomes that could result in having 3 boys within the first 5 children. One possible outcome is having the first three children be boys and the next two be girls.

Another possible outcome is having the first two children be girls, followed by three boys. Another outcome is having one girl and two boys, followed by two girls and then three boys. There are actually ten different possible outcomes that could result in having 3 boys within the first 5 children. Since each birth has an equal probability of being a boy or girl, each of these outcomes has a probability of 1/2^5 = 1/32. Therefore, the probability that the couple has 5 children until they have 3 boys is the sum of these probabilities, which is 10/32 or 0.3125.
(b) To calculate the expected number of children this couple will have until they have 3 boys, we need to consider the probability of having each possible number of children. Let X be the number of children this couple will have until they have 3 boys. We know that X is at least 3, since it takes at least 3 children to have 3 boys. We can calculate the probability of having X = 3 by having the first three children be boys, which has a probability of 1/2^3 = 1/8. We can calculate the probability of having X = 4 by having the first three children be any combination of boys and girls that does not result in 3 boys, followed by a fourth boy, which has a probability of 1/2^4 * 1/2 = 1/16. We can calculate the probability of having X = 5 by using the calculation from part (a), which is 10/32. We can calculate the probability of having X = 6 by having the first five children be any combination of boys and girls that does not result in 3 boys, followed by a sixth boy, which has a probability of 1/2^5 * 1/2 = 1/32. Continuing in this way, we can calculate the probability of having any value of X. To calculate the expected value of X, we multiply each possible value of X by its probability and then add up all of these products. Doing so yields:
E(X) = 3*(1/8) + 4*(1/16) + 5*(10/32) + 6*(1/32) + ...
We can simplify this expression by factoring out 1/16 and noticing that the remaining terms form a geometric series with first term 5 and common ratio 1/2. Therefore, we have:
E(X) = 3*(1/8) + 5*(1/16)*(1 + 1/2 + 1/4 + ...) = 3.75
Therefore, this couple can expect to have 3.75 children until they have 3 boys.

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Answer:15(6)+15=13

Step-by-step explanation:

Answer:

Step-by-step explanation:

Make a model

Answer: The answer is 9/25. (36%)

Step-by-step explanation:

Since we know that 7/25 workers walk and 2/25 walk, we can do simple addition to find the total Percentage. This equals 9/25. To find the percentage, do the following:

Write 9/25 into a percentage: Divide

9 / 25 x (100%) = 36%

0.36 (100%) = 36%

Therefore 36% is your answer.

The actual height of the house is 0.910 feet.

When both the original dimensions and the new dimensions are known, the scale factor may be determined. When employing the scale factor, there are two terms that must be understood. When a figure's size is increased, we refer to this as scaling up, and when its size is decreased, we refer to this as scaling down.

Given:

Scale : 14 inch = 3 feet

So, 1 inch is represented by

= 3/14

So, 4.25 inch represented as

= 3/14 x 4.25

= 0.910 feet

Hence, the actual height is 0.910 feet.

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Answer:

slope = 1

Step-by-step explanation:

Calculate the slope m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (- 2, - 5) and (x₂, y₂ ) = (- 3, - 6)

m = \(\frac{-6-(-5)}{-3-(-2)}\) = \(\frac{-6+5}{-3+2}\) = \(\frac{-1}{-1}\) = 1

The general fertility rate refers to the number of live births reported in an area during a given time interval divided by the number of women age 15 to 44 years in the area is false

The general fertility rate refers to the number of live births reported in an area during a given time interval per 1,000 women of reproductive age (usually defined as 15 to 44 years old) in the same area.

Therefore, it is a rate or a ratio that expresses the number of births in relation to the number of women of reproductive age in a population.

Hence, the statement is False that the general fertility rate refers to the number of live births reported in an area during a given time interval divided by the number of women age 15 to 44 years in the area is false

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We can use the formula for compound interest: A = P(1 + r/n)^(nt), where A represents the amount owed, P is the principal amount, r is the interest rate.

a) To find the amount owed at the end of the first year, we substitute the given values into the compound interest formula. Since the interest is compounded annually, n = 1. Therefore, the calculation is as follows:

A = 3000(1 + 0.02/1)^(1*1)

A = 3000(1 + 0.02)^1

A = 3000(1.02)

A = 3060

Therefore, the amount owed at the end of the first year is $3060.

b) To calculate the amount owed at the end of the second year, we use the same formula but with t = 2:

A = 3000(1 + 0.02/1)^(1*2)

A = 3000(1 + 0.02)^2

A = 3000(1.02)^2

A = 3000(1.0404)

A = 3121.20

Thus, the amount owed at the end of the second year is $3121.20.

In summary, DeAndre borrows $3000 with a 2% compounded interest rate. Using the compound interest formula, we find that the amount owed at the end of the first year is $3060, and at the end of the second year is $3121.20. The formula takes into account the principal amount, interest rate, compounding frequency, and the number of years to calculate the amount owed.

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The function that represents g(x) is g(x) = 5x + 10

The function of f(x) is given as:

f(x) = x + 2

The vertical stretch is given as:

Factor = 5

The equation of g(x) is calculated as:

g(x) = Factor * f(x)

So, we have

g(x) = 5 * (x + 2)

Evaluate

g(x) = 5x + 10

Hence, the function that represents g(x) is g(x) = 5x + 10

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In Bayes Theorem, | stands for 'given' or 'conditional on'. In bar charts, tend to summarize categorical type data. In Bayes Theorem, you have some starting information, then you collect some new information so that you can update the original probabilities so you now have better information.

In Bayes Theorem, the symbol | stands for 'given' or 'conditional on'. It is used to indicate that the probability is calculated under the condition that a certain event has occurred. For example, P(A|B) represents the probability of event A given that event B has occurred.

In bar charts, tend to summarize categorical type data. A bar chart is a type of graph that uses rectangular bars to represent data. Each bar in the chart represents a category, and the height of the bar represents the frequency or count of that category. Bar charts are useful for comparing the frequencies of different categories or showing the distribution of a single categorical variable.

In Bayes Theorem, you have some starting information, then you collect some new information so that you can update the original probabilities. This allows you to have better information and make more accurate predictions or decisions based on the new evidence.

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In Bayes Theorem, the vertical bar "|" represents "given" or "conditional on". Bar charts tend to summarize categorical or discrete type data. Bayes Theorem allows for updating the original probabilities based on new information, resulting in improved and more accurate estimates.

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Answer:

F

Step-by-step explanation:

1. 30 / 12 = 2.5, The scale factor.

2. 16 * 2.5 = 40

Therefore the answer is F, 40.

Hope this helps!

To calculate the probability that a randomly chosen applicant will score between 500 and 600 on the test, we need to use the standard normal distribution.

We'll convert the given scores into z-scores and then find the corresponding probabilities using a standard normal distribution table or a statistical calculator. First, let's calculate the z-score for the lower boundary of 500: z1 = (500 - 560) / 90 = -0.667

Next, let's calculate the z-score for the upper boundary of 600:
z2 = (600 - 560) / 90 = 0.444. Now, we can find the probability associated with each z-score. Using a standard normal distribution table or a calculator, we find that the probability corresponding to z1 is approximately 0.2525, and the probability corresponding to z2 is approximately 0.6700.

To find the probability between these two boundaries, we subtract the lower probability from the upper probability:
P(500 < X < 600) = P(z1 < Z < z2) = P(Z < z2) - P(Z < z1) = 0.6700 - 0.2525 = 0.4175 Therefore, the probability that a randomly chosen applicant will score between 500 and 600 on the test is approximately 0.4175, or 41.75%.

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When we roll three fair coins, there are two possible outcomes for each coin - either it lands heads up or tails up. There are 8 elementary events in the sample space of the experiment of rolling three fair coins.

The sample space of this experiment consists of all possible combinations of three outcomes, which can be calculated by multiplying the number of outcomes for each coin: 2 x 2 x 2 = 8.
Each of these combinations is called an elementary event, which means that there are 8 elementary events in the sample space of the experiment of rolling three fair coins. We can list them as follows:
1. HHH (all three coins land heads up)
2. HHT (two coins land heads up, one lands tails up)
3. HTH (two coins land heads up, one lands tails up)
4. THH (two coins land heads up, one lands tails up)
5. HTT (one coin lands heads up, two land tails up)
6. THT (one coin lands heads up, two land tails up)
7. TTH (one coin lands heads up, two land tails up)
8. TTT (all three coins land tails up)

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Answer: 13 ounces

Step-by-step explanation:

      To answer this question, we will find 65% of 20. A percent divided by 100 becomes a decimal that can be used to solve.

65% / 100 = 0.65

0.65 * 20 = 13

   There are 13 ounces of tin in the metal bar.

Answer:

The metal bar contains 13 ounces of tin.

Step-by-step explanation:

Multiply '20 ounces' by 0.65, obtaining 13 ounces.

The metal bar contains 13 ounces of tin.