4. What is the present value of \( \$ 41230.00 \) due in nine months if interest is \( 11.1 \% \) ? 5. Chris's Photographic Supplies sells a Minolta camera for \( \$ 551.83 \). The markup is \( 72 \%

Answers

Answer 1

The present value of $41,230.00 due in nine months with an interest rate of 11.1% is approximately $37,725.66.

To calculate the present value of an amount due in the future, we need to discount it by considering the interest rate and the time period. The present value formula is:

Present Value = Future Value / (1 + interest rate)^time

Let's calculate the present value for the given scenario:

Future Value (FV): $41,230.00 (amount due in nine months)

Interest Rate (r): 11.1% (convert to decimal by dividing by 100, so r = 0.111)

Time (t): 9 months (expressed in years, so t = 9/12 = 0.75)

Using the formula, we can substitute the values:

Present Value = $41,230.00 / (1 + 0.111)^0.75

Calculating the value inside the parentheses:

(1 + 0.111)^0.75 ≈ 1.09337

Substituting this value back into the formula:

Present Value ≈ $41,230.00 / 1.09337

Calculating the present value:

Present Value ≈ $37,725.66

Therefore, the present value of $41,230.00 due in nine months with an interest rate of 11.1% is approximately $37,725.66.

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Related Questions

a hiker leaves her camp and walks 3.5 km in a direction of 55° south of west to the lake. after a short rest at the lake, she hikes 2.7 km in a direction of 16° east of south to the scenic overlook. what is the magnitude of the hiker’s resultant displacement? round your answer to the nearest tenth. km what is the direction of the hiker’s resultant displacement? round your answer to nearest whole degree. ° south of west

Answers

The hiker's resultant displacement can be calculated using vector addition. By considering the magnitudes and directions of the individual displacements, the resultant displacement can be determined.

The magnitude of the resultant displacement is approximately 3.8 km, rounded to the nearest tenth. The direction of the resultant displacement is approximately 7° south of west, rounded to the nearest whole degree.

To find the resultant displacement, we can break down the hiker's displacements into their respective components. The first displacement of 3.5 km at an angle of 55° south of west can be represented as -3.5 km westward and -3.5 km × sin(55°) = -2.9 km southward. The second displacement of 2.7 km at an angle of 16° east of south can be represented as +2.7 km southward and +2.7 km × sin(16°) = +0.7 km eastward.

To find the resultant displacement, we add the components in each direction separately. The westward components add up to -3.5 km, and the southward components add up to -2.9 km + 2.7 km = -0.2 km. Using the Pythagorean theorem, the magnitude of the resultant displacement is √((-3.5 km)² + (-0.2 km)²) ≈ 3.8 km (rounded to the nearest tenth).

To determine the direction of the resultant displacement, we can use trigonometry. The angle θ can be calculated as arctan((-0.2 km)/(-3.5 km)) ≈ 7°. Since the angle is measured south of west, the direction of the resultant displacement is approximately 7° south of west (rounded to the nearest whole degree).

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Megan heated up a cup of coffee over the stove. the scatter plot shows the temperature (y), in degrees celsius (^degc), of the coffee passed on the number of minutes (x) she heated the coffee. which equation describes the line of best fit for the temperature of the coffee based on the number of minutes megan heated it over the stove

Answers

The equation that represents the line of best fit for the figure is given as follows:

y = 5.6x + 21.

How to define a linear function?

The slope-intercept equation for a linear function is presented as follows:

y = mx + b

The parameters of the definition of the linear function are given as follows:

m represents the slope of the function.b represents the y-intercept of the function.

From the graph, we have that the relation is increasing, meaning that it has a positive slope, that is:

m = 5.6.

When x is equals to zero, the value of y is close to 20, hence the intercept b is given as follows:

b = 21.

Hence the function is:

y = 5.6x + 21.

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Megan heated up a cup of coffee over the stove. the scatter plot shows the temperature (y), in degrees

What was the total amount of water in the tank before it was drained

What was the total amount of water in the tank before it was drained

Answers

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data

Table

Step 02:

We must analyze the data table to find the solution.

constant rate:

\(m\text{ = }\frac{y2-y1}{x2-x1}=\frac{330-450}{30-10}=\frac{-120}{20}=-6\)

y = mx + b

(y - y1) = m (x - x1)

(y - 450) = -6 (x - 10)

y = -6x + 60 + 450

y = -6x + 510

if x = 0 (initial time)

y = -6*(0) + 510

y = 0 + 510

y = 510

The answer is:

510 gallons

11. Find the product: (50z + 20)(10z + 4) ( 1 ) 12. Find the product: (88a + 80)(8a + 8) ( 1 ) 13. Find the product: (40y + zy)(4y + zy) ( 1 )

Answers

Answer:

11. \(500z^{2} +400z+80\)

12. \(704a^2 + 1344a + 640\)

13. \(160y^2 + 44zy^2 + z^2y^2\)

Step-by-step explanation:

11. \((50z + 20)(10z + 4) = ?\)

Using Formula:

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

\(50z(10z+4) + 20(10z + 4) = \\\Rightarrow 500z^{2} + 200 z+200z+80\\\Rightarrow 500z^{2} +400z+80\)

12. \((88a + 80)(8a + 8) = ?\)

Using Formula:

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

\(\Rightarrow 88a(8a+8) + 80(8a + 8)\\\Rightarrow 704a^2 + 704a + 640a + 640\\\Rightarrow 704a^2 + 1344a + 640\)

13. \((40y + zy)(4y + zy) = ?\)

Using Formula:

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

\(\Rightarrow 40y(4y + zy) + zy(4y + zy)\\\Rightarrow 160y^2 + 40zy^2 + 4y^2z + z^2y^2\\\Rightarrow 160y^2 + 44zy^2 + z^2y^2\\\)

a math teacher gives two different tests to measure students' aptitude for math. scores on the first test are normally distributed with a mean of 23 and a standard deviation of 5.1. scores on the second test are normally distributed with a mean of 68 and a standard deviation of 10.4. assume that the two tests use different scales to measure the same aptitude. if a student scores 30 on the first test, what would be his equivalent score on the second test? (that is, find the score that would put him in the same percentile.)

Answers

The student's equivalent score on the second test would be approximately 82.2, placing them in the same percentile as their score on the first test.

To find the equivalent score on the second test, we need to first find the student's percentile rank on the first test.

Using a z-table, we can find that a score of 30 on the first test has a z-score of (30-23)/5.1 = 1.37. This means that the student scored higher than approximately 91% of the other students who took the first test.

Next, we need to find the score on the second test that corresponds to the same percentile rank. To do this, we can use the formula:

z = (x - μ) / σ

where z is the z-score corresponding to the desired percentile rank, x is the corresponding score on the second test, μ is the mean of the second test (68), and σ is the standard deviation of the second test (10.4).

Substituting the z-score we found earlier (1.37) and solving for x, we get:

1.37 = (x - 68) / 10.4

Multiplying both sides by 10.4 and adding 68, we get:

x = 83.29

Therefore, if a student scores 30 on the first test, their equivalent score on the second test would be approximately 83.29. This means that if they scored 83.29 or higher on the second test, they would be in the same percentile as they were on the first test (in this case, approximately the 91st percentile).
To find the equivalent score on the second test, follow these steps:

1. Determine the student's z-score on the first test:
  z-score = (student's score - mean) / standard deviation
  z-score = (30 - 23) / 5.1 ≈ 1.37

2. The z-score of 1.37 represents the student's percentile ranking on the first test. Now we need to find the equivalent score on the second test that corresponds to the same percentile.

3. Convert the z-score back to a raw score using the second test's mean and standard deviation:
  Equivalent score = (z-score * standard deviation) + mean
  Equivalent score = (1.37 * 10.4) + 68 ≈ 14.2 + 68 = 82.2

So, the student's equivalent score on the second test would be approximately 82.2, placing them in the same percentile as their score on the first test.

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Consider the following system of equations:
10x1 - 7x2 = 7
-3x1 +2.099x2 + 3x3 = 3.901 5x1 - x2 +5x3 = 6
The solution of the system of equation using Gauss elimination with partial pivoting with five significant digits with chopping leads to the following solution:
(a) x1 = -1.3991, x2 = -2.9987, x3 = 1.9993
(b) x1 = 2, x2 = 1.7776, x3 = 2.9999
(c) x1 = 1.8673, x2 = 1.6676, x3 = 2.0009
(d) x1 = 1.8975, x2 = 1.6677, x3 = 2.00088

Answers

In the problem,

the given system of linear equations are 10x1 - 7x2 = 7 ...

(i)-3x1 +2.099x2 + 3x3 = 3.901 ...

(ii)5x1 - x2 +5x3 = 6 ...

(iii)Now, the solution of the system of equation using Gauss elimination with partial pivoting with five significant digits with chopping leads to the following solution:

x1 = 1.8975, x2 = 1.6677, x3 = 2.00088So, option (d) x1 = 1.8975, x2 = 1.6677, x3 = 2.00088 is the correct answer. Therefore, option (d) is the right option.

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In circle O, the length of OB is 6 inches, and the measure of ∠AOB is 120°. What is the length of arc AB, in inches (show your answer in terms of π)? *

In circle O, the length of OB is 6 inches, and the measure of AOB is 120. What is the length of arc AB,

Answers

Answer:

4π inches

Step-by-step explanation:

Formula for finding length of arc AB = θ/360*2πr

Where,

Central angle (θ) = 120°

Radius (r) = 6 inches

Length of arc AB = 120/360*2*π*6

Length for arc AB = ⅓*12π

= 4π inches


2:6 and 24:72 are equal ratios. True OR False?


Answers

Answer:
True
Explanation:
2/6 = 1/3
24/72 = 12/36 = 2/6 = 1/3
true if multiplied by 12 the 2-24 and 6-72

Diego's high school soccer team started a fundraiser selling treats at their games. they spent $1000 to start and an additional $0.30 on each candy bar and can of soda. they decide to sell both the candy and the soda for the same price, to make things simple. choose a reasonable price for the team to sell the candy bars and sodas. in your discussion post, share the equations that you used to model this situation and answer the following questions (remember that profit is the revenue minus the costs): how much do they need to sell to break even (where revenue is equal to cost)? how much do they need to sell to make at least $5,000 in profit? do you think it is likely for them to make at least $5,000 in profit? in what situations would it be possible for them to make at least $5,000 in profit?

Answers

It is more likely for them to make at least $5,000 in profit if they sell a larger quantity of treats. This can be achieved by implementing effective marketing strategies, setting an appealing price, and targeting a wide audience.


Let's say the team decides to sell the candy bars and sodas for $1 each. In this case, they will make $1 in revenue for each candy bar and can of soda sold.


Now, let's calculate the costs. The team spent $1000 to start the fundraiser, which is a fixed cost that does not depend on the number of treats sold. In addition, they spend $0.30 on each candy bar and can of soda sold.


To break even, the revenue needs to equal the total cost. Let's denote the number of treats they need to sell to break even as "x". The revenue from selling x treats would be $1 multiplied by x. The total cost would be the sum of the fixed cost and the cost per treat multiplied by the number of treats sold.


Equation to break even: Revenue = Cost

1x = $1000 + $0.30x

To solve for x, we can subtract $0.30x from both sides and then divide both sides by 0.70:

0.70x = $1000

x = $1000 / 0.70

x ≈ 1428.57



So, they need to sell approximately 1429 treats to break even.



To make at least $5,000 in profit, we need to calculate the revenue required to cover the costs and generate the desired profit. Let's denote the number of treats they need to sell to make this profit as "y".

Equation to make at least $5,000 in profit: Revenue = Cost + Profit

1y = $1000 + $0.30y + $5000


Simplifying the equation:

0.70y = $6000

y = $6000 / 0.70

y 8571.43


So, they need to sell approximately 8572 treats to make at least $5,000 in profit.


Whether it is likely for them to make at least $5,000 in profit depends on various factors, such as the demand for treats, the number of people attending the games, and the team's marketing efforts. If they can attract a large number of customers and successfully sell the treats, it is possible for them to make at least $5,000 in profit.


In general, it is more likely for them to make at least $5,000 in profit if they sell a larger quantity of treats. This can be achieved by implementing effective marketing strategies, setting an appealing price, and targeting a wide audience.

Additionally, if they can minimize their costs (such as by negotiating better deals for purchasing treats), they would have a better chance of reaching their profit goal.

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A shoemaker sold a pair of for $245.99 if the buyer a $300.00 bill, how much will the buyer receive in change?

*two decimal places don't forget your $ sign. Example: $50.00 NOT 50*

Answers

Answer:

$54.01

Step-by-step explanation:

All you have to do is $300.00-$245.99 .

Monica had friends over for a party and ordered pizzas for everyone to eat. After the party Monica saw that 1 2/3 of cheese pizza and 3/4 of the pepperoni pizza was eaten. A.) How much total pizza was eaten at the party? B.) If Monica ordered 4 pizzas for the party, how much was left over?

Monica had friends over for a party and ordered pizzas for everyone to eat. After the party Monica saw

Answers

A. 1 2/3 cheese pizza was eaten

3/4 pepperoni pizza was eaten

In total

The total pizza that was eaten is

\(1\frac{2}{3}+\frac{3}{4}\)

Convert the mixed fraction to improper fraction

This gives

\(\frac{5}{3}+\frac{3}{4}\)

Add the fractions

\(\begin{gathered} \frac{5}{3}+\frac{3}{4} \\ =\frac{20+9}{12} \\ =\frac{29}{12} \\ =2\frac{5}{12} \end{gathered}\)

Therefore the total pizza that was eaten is

\(2\frac{5}{12}\)

B. If the total pizzas ordered is 4

The leftover pizza is

\(4-2\frac{5}{12}\)

Substract

\(\begin{gathered} 4-\frac{29}{12} \\ =\frac{48-29}{12} \\ =\frac{19}{12} \\ =1\frac{7}{12} \end{gathered}\)

Therefore, the leftover pizza is

\(1\frac{7}{12}\)

can someone help pls​

can someone help pls

Answers

Answer:

23.2

12

..........................................

                                                                     

what is the slope between (7,-4) and (2,-4)

Answers

Answer:

0

Step-by-step explanation:

Rise over run.

Difference between y is 0.

Difference between x is 5.

0/5 = 0.

Answer:

m = 0

Step-by-step explanation:

Slope is rise/run or (y2 - y1) / (x2 - x1)

We see the y stay the same, and the x decrease by 5, so the slope is

m = 0/5

Can I get help please

Can I get help please

Answers

The amount of money that I will have at the end of 20 years would be =$4,480. That is option D

What is compound interest?

Compound interest is defined as the interest that is being earned on an account which is based on the rate and the time the investment was made.

The total amount invested (p)= $2,000

The rate of investment (r) = 5%

The time of investment(t)= 12 year

The compound interest warm from that account;

= P×T×R/100.

= 2,000×12×5/100

= 120000/100

= $1200

For the next 8 years with the rate of 8% ;

= 2,000×8×8/100

= 128000/100

= $1280

The total compound interest = $1200+$1280= $2,480

Therefore, the amount of money that I will have at the end of 10 years would be = 2000+2480 = $4,480

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Simplify "6+2y-3+4y"​

Answers

As a factor it would be 3(3+2y)

Just simplified would be 9+6y
6y+3

6+2y-3+4y
(4y+2y)=6y
(6-3)=3
Therefore, your answer is 6y+3

Here is a five-sided polygon. Describe or show the strategy you would use to find its area. Mark up and label the diagram to show your reasoning so that it can be followed by others. (It is not necessary to actually calculate the area.)

Answers

Answer:

i can explai it to u if u wan to get the answer

Step-by-step explanation:

Divide the polygon into 5 triangles by using each side as a base and joining the vertices of the polygon to a common point (for example, the centre). If the polygon is regular the angle at the vertex of each triangle is 360/5=72 degrees, so you have 5 isosceles triangles of equal area. Find the area of one and multiply by 5 to get the total area.multiply 5 times the lenght of oneside

last week maria ran 16.4 miles more than Kathryn. Maria ran 30 miles. How many did Kathryn run ?​

Answers

Aşkım sen ne yapıyorsun yaz bana
last week maria ran 16.4 miles more than Kathryn. Maria ran 30 miles. How many did Kathryn run ?
ANSWER: 13.6

EX:
You would subtract 30 and 16.4.
Also I just did it!

2 7/9 × 1 1/5 ÷ 2 1/2

Answers

Answer

5/36 (\(\frac{5}{36}\))

Answer:

22/35

Step-by-step explanation:

27/9 = 3

3 × 11/5 ×2/21

=22/35

helpppppppppppppppppp ​

helpppppppppppppppppp

Answers

The 1st option is correct.

Answer:

m/15=-3

Step-by-step explanation:

When you see quotient it means to divide

is means equal

I hope this helps

6.31 divided by 1000

Answers

Answer:

0.00631

(What i'm typing here doesn't matter, I just have to reach character minimum)

Please help, When do you need to approximate an irrational number with a rational value? Explain your understanding and give an example.

Answers

9514 1404 393

Answer:

  in any numerical computation; numerical values can only be rational numbers

Step-by-step explanation:

Any time a number is written down as a numerical value, it is a rational number. The numerical values we give to π or e or any root, logarithm, trig function, and polynomial solution are, of necessity, rational approximations to the true value. An "exact" value for an irrational number cannot be written down, so it must be approximated any time its numerical value is needed.

The population of fish in an aquarium can be modeled after exponential growth. If there were originally 3 fish and after 6 weeks there were 31 fish, how many fish would there be after 14 weeks?​

Answers

Answer:

The population in 14 weeks is 232 fishes

Step-by-step explanation:

The equation for exponential growth is f(x) = a·(1 + r)ˣ

Where;

a = The starting population size = 3

r = The rate at which the population of grows

x = The number of periods to of change of the population

Therefore, we have;

f(6) = 31 = 3 × (1 + r)⁶

31/3 = (1 + r)⁶

㏑(31/3) = 6㏑(1 + r)

(㏑(31/3))/6 =㏑(1 + r)

1 + r = e^((㏑(31/3))/6) ≈ 1.476

1 + r ≈ 1.476

Therefore, the population in 14 weeks is given as follows;

f(14) = 3 × (1.467)¹⁴ ≈ 232.574

Given that we the information is with regard of living things, such that there are no fractions, we round down to the nearest whole number as follows;

f(14) ≈ 232

The population in 14 weeks = 232 fishes.

I need help on in the answer to this question

I need help on in the answer to this question

Answers

To find out the value of z we can use the formula

\(z=\frac{w+79}{2}\)

But we also have to find out the value of w, which be found using the equation

\(360=x+79+w+60\)

Which needs the value of x, which be found using

\(\frac{x+60}{2}=70\)

But instead of doing all that and finding the value of x, w and z. We can directly find z using the fact that

Because it's all angles opposite by a vertex, and the sum of them all will be 360º, then we can say that

\(\begin{gathered} z+70+z+70=360 \\ \\ 2z+2\cdot70=360 \\ \\ 2z+140=360 \\ \\ 2z=360-140 \\ \\ 2z=220 \\ \\ z=\frac{220}{2} \\ \\ z=110 \end{gathered}\)

Therefore, z = 110º.

I need help on in the answer to this question

The slope of AB is -2/5. Segment CD has endpoints at C(-5,3) and D(10,-3). Are AB and CD parallel, perpendicular or neither? Justify.

Answers

Answer:

Neither

Step-by-step explanation:

When I input segment CD onto a graph, I get -0.4 as the slope or 15/-6. If the lines were parallel, they would need to have the same slope which they do not have. If they were perpendicular, they would need to have different slopes so, -2/5 and 5/2 which they do not. That leaves us with the only option of neither.

Plz sub to Rebel_IOSツ on yt!

Answer:

AB and CD are parallel

Step-by-step explanation:

AB has the slope of -2/5

let's see what slope the line CD has:

points are (-5, 3) and (10, -3)slope= m= (y2-y1)/(x2-x1)= (-3-3)/(10+5)= -6/15= -2/5

as we see AB and CD have same slope, therefore they are parallel

Sailors on the ship at sea, spot, the light for my house at angle of elevation of 25° the light of the lighthouse is 30 m above sea level how far from the shore is the ship round your answer to the nearest meter

Answers

The distance from the ship to the shore is:

d = 64.295 - x = 0 m (rounded to the nearest meter)

This result means that the ship is directly in front of the lighthouse and has already reached the shore.

What is Trigonometry?

Trigonometry is a branch of mathematics that deals with the relationships between the sides and angles of triangles, and with the trigonometric functions that describe those relationships. It is widely used in fields such as engineering, physics, astronomy, and navigation.

We can use trigonometry to solve this problem. Let's assume that the height of the sailors' eyes is negligible compared to the distance between the ship and the lighthouse. Then, we can use the tangent function to find the distance between the ship and the shore:

tan(25°) = (height of lighthouse) / (distance from ship to lighthouse + distance from lighthouse to shore)

We are given that the height of the lighthouse is 30 m. Let's use d to represent the distance from the ship to the shore, and let's use x to represent the distance from the ship to the lighthouse. Then, we can write:

tan(25°) = 30 / (x + d)

Multiplying both sides by (x + d), we get:

(x + d) * tan(25°) = 30

Dividing both sides by tan(25°), we get:

x + d = 30 / tan(25°)

Substituting the value of tan(25°), we get:

x + d = 30 / 0.46631

x + d = 64.295 m

We want to find the distance from the ship to the shore, which is d. Rearranging the equation above, we get:

d = 64.295 - x

To find x, we can use the fact that the height of the lighthouse, the angle of elevation, and the distance from the ship to the lighthouse form a right triangle. Therefore, we can use the tangent function again:

tan(25°) = 30 / x

Multiplying both sides by x, we get:

x * tan(25°) = 30

Dividing both sides by tan(25°), we get:

x = 30 / tan(25°)

Substituting the value of tan(25°), we get:

x = 30 / 0.46631

x = 64.295 m

Therefore, the distance from the ship to the shore is:

d = 64.295 - x = 0 m (rounded to the nearest meter)

This result means that the ship is directly in front of the lighthouse and has already reached the shore. However, it is possible that our assumption about the negligible height of the sailors' eyes is not accurate, which could lead to a non-zero distance d.

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We roll a regular six-sided die. What is the probability that we roll either a 6 or an even number ?

Answers

Answer:

\(\frac{2}{3}\)

Explanation;

Here, we want to get the probability of rolling either a 6 or an even number

If we roll a die, there are 6 possible results, that is 1 to 6

The number of 6 we have is 1. So the probability of rolling a 6 will be 1/6

The even numbers we have are 2,4,6.

The probability of rolling a even number is the count of even numbers divided by the total count of numbers

We have this as 3/6

Since we have or as the condition, we will have to add the two probabilities from above

We have this as:

\(\frac{1}{6}+\frac{3}{6}\text{ = }\frac{4}{6}\text{ = }\frac{2}{3}\)

A triangle has a base of 12 feet and a height of 8 feet. By how much does the height need to increase for the area to increase by 4.5 square feet?

Answers

Answer:

hello gimme-Dem points.

Step-by-step explanation:

Let Ul , U2 , U3 , U4 , U5 be independent, each with uniform distribution on (0,1). Let R
be the distance between the minimum and the maximum of the Ui's. Find
a) E(R);
b) the joint density of the minimum and maximum of the U;'s;
c) P(R> 0.5)
Please do b) and c) and explain in details.

Answers

b) To find the joint density of the minimum and maximum of the U_i's, we can use the following approach:

Let M = min(U_1, U_2, U_3, U_4, U_5) and let X = max(U_1, U_2, U_3, U_4, U_5). Then we have:

P(M > m, X < x) = P(U_1 > m, U_2 > m, U_3 > m, U_4 > m, U_5 > m, U_1 < x, U_2 < x, U_3 < x, U_4 < x, U_5 < x)

Since the U_i's are independent and uniformly distributed on (0,1), we have:

P(U_i > m) = 1 - m, for 0 < m < 1

P(U_i < x) = x, for 0 < x < 1

Substituting these expressions, we get:

P(M > m, X < x) = (1 - m)^5 * x^5

Therefore, the joint density of M and X is:

f(M,X) = d^2/dm dx (1-m)^5 * x^5 = 30(1-m)^4 * x^4, for 0 < m < x < 1.

c) To find P(R > 0.5), we need to find the probability that the distance between the minimum and maximum of the U_i's is greater than 0.5. We can use the following approach:

P(R > 0.5) = 1 - P(R <= 0.5)

Now, R <= 0.5 if and only if the difference between the maximum and minimum of the U_i's is less than or equal to 0.5. Therefore, we have:

P(R <= 0.5) = P(X - M <= 0.5)

To find this probability, we can integrate the joint density of M and X over the region where X - M <= 0.5:

P(R <= 0.5) = ∫∫_{x-m<=0.5} f(M,X) dm dx

The region of integration is the triangle with vertices (0,0), (0.5,0.5), and (1,1). We can split this triangle into two regions: the rectangle with vertices (0,0), (0.5,0), (0.5,0.5), and (0,0.5), and the triangle with vertices (0.5,0.5), (1,0.5), and (1,1). Therefore, we have:

P(R <= 0.5) = ∫_{0}^{0.5} ∫_{0}^{m+0.5} 30(1-m)^4 * x^4 dx dm + ∫_{0.5}^{1} ∫_{x-0.5}^{x} 30(1-m)^4 * x^4 dm dx

Evaluating these integrals, we get:

P(R <= 0.5) ≈ 0.5798

Therefore,

P(R > 0.5) = 1 - P(R <= 0.5) ≈ 0.4202.

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Work out the percentage increase from 320 to 388

Answers

Answer:

21%

Step-by-step explanation:

388-320=68 then divide 68 by 320 which is 0.21 then divide that by 100 or you could move the decimal 2 times to the right which makes it 21%

hope this helped!

also please tell me if I'm wrong

21% i think ! Please tell me if i’m wrong so i can correct myself. Best of luck!

Lines T U and R S intersect lines M N and P Q. Where line T U intersects with lines M N and P Q, right angles are formed. Lines M N and P Q are straight lines that are next to each other and they will never intersect. Lines T U and R S are next to each other and could intersect. Which two statements are both true?

Lines T U and R S intersect lines M N and P Q. Where line T U intersects with lines M N and P Q, right

Answers

c. Tu | MN and MN || PQ I am done with the interview

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