suppose you pick a point uniformly at random from the interval [0, 1]. given your point, your friend picks a point uniformly at random between 0 and your point. (a) find the joint probability distribution of the two points. (b) find the expectation of the product of the two points. (c) find the marginal distribution of the point your friend picks. (d) check that the pdf from (c) satisfies all conditions for being a pdf. (e) find the conditional distribution of your point given your friend point.

Answer: 1264.2857%

Step-by-step explanation:

Answer:

She earned 67.29% profit

Step-by-step explanation:

First let's find how much she spent on the coats.

50 x $28

$1400

So, her expense was $1400

Now, let's find how much she earned selling these coats.

We know she sold 38 of these coats at $49 each. Let's find how much she earned for these 38 coats.

38 x $49

$1862

She earned $1862 on these 38 coats.

Now, let's find how much she earned on the rest of the coats (50-38 which is 12). We know she sold the remaining for $40 each.

12 x $40

$480

She earned $480 on the rest of the coats.

The total she earned $2342

To find the profit:

Profit= $ Earned - Expenses

Profit= 2342-1400

Profit=$942

The question is asking for the percentage.

To find the percentage, we can use the percentage formula:

\(\frac{Profit}{Expense}\) x 100

We know that the profit is $942 and the expense is $1400

(We want to find how much profit she made out of the expense)

\(\frac{942}{1400}\) x \(\frac{100}{1}\)

If you round your answer, you will get 67.29

Answer: She earned 67.29% profit

Answer:

180 if i did my math right but it is so not 270

Step-by-step explanation:

To find the price at which the designer will sell the maximum number of shirts, we need to determine the vertex of the quadratic function representing the number of shirts sold.

The equation for the number of shirts sold is given by:

S = -4x^2 + 80x - 76

This is a quadratic function in the form of:

S = ax^2 + bx + c

To find the price at which the maximum number of shirts is sold, we need to locate the vertex of the quadratic function. The x-coordinate of the vertex can be found using the formula:

x = -b / (2a)

In this case, a = -4 and b = 80. Plugging in these values, we can calculate the x-coordinate:

x = -80 / (2*(-4))

x = -80 / (-8)

x = 10

Therefore, the designer will sell the maximum number of shirts at a price of $10. Hence, the correct option is c) $10.

Step-by-step explanation:

Any positive number can. be a side length. It cannot pass 7 because a square with 49 sqr lnches as a area has side lengths with the measures of 7.

\(0 \leqslant x \leqslant 7\)

Answer: Ken has 22 coins, some of which are dimes and the rest are quarters

Step-by-step explanation:Step 1. Let x be the number of dimes and let 25-x be the number of quarters.

Step 2. Let 0.10x be the total cost for x number of dimes

Step 3. Let 0.25(25-x) be the total cost for 25-x number of quarters.

Step 4. Since the man has $4.60, then 4.60=0.10x+0.25(25-x). Solving for x yields the following steps

Approximately it takes 6 years to the population be fewer than 11,000.

If the constant decrease in population be R% per annum, then the population after n years = P(1-R/100)ⁿ.

Given that, A=11,000, rate of interest=8% and P=18,000.

Here, 11,000=18,000(1-8/100)ⁿ

11/18=(1-0.08)ⁿ

0.611=(0.92)ⁿ

Take the logarithm of both sides of the equation to remove the variable from the exponent.

Exact Form:

n=ln(0.611)/ln(0.92)

Decimal Form: n=5.90847701…

n=6

Therefore, approximately it takes 6 years to the population be fewer than 11,000.

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"Your question is incomplete, probably the complete question/missing part is:"

The population of a town is 18,000. it decreases at a rate of 8% per year. In about how many years will the population be fewer than 11,000?

Answer:

It is not clear what equation or problem you are trying to solve. Could you please provide more context or clarify what you are asking?

Are you trying to find the solution to the equation "n + 8.3 + n - 7.53 = 0"? If so, the solution would be the value of n that makes the equation true. To find this value, you can simplify the equation by combining like terms and solving for n.

Simplifying the equation gives: 2n + 0.77 = 0

Subtracting 0.77 from both sides gives: 2n = -0.77

Dividing both sides by 2 gives: n = -0.385

So the solution to the equation is n = -0.385.

Step-by-step explanation:

The group of things from which data are taken for a statistical research is referred to as a population in statistics. A data pool for study might consist of numerous things, many individuals, etc.

large-scale numerical data collection and analysis, especially with the aim of extrapolating proportions in the total from those in a representative sample.

The study and development of techniques for gathering, processing, interpreting, and presenting empirical data are the focus of the science of statistics. It could be a collection of things, a gathering of people, etc. It serves as the study's data set.

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Answer:

\(\frac{1}{\sqrt{2}}\)

Step-by-step explanation:

The given data set is:

It is required to find the mode.

Recall that the mode is the value in a set of data that has the most occurrences.

Note that the mode is not unique and a data set may have no mode.

The value that has the most occurrences in the set is not unique.

Hence, the data set has no mode score

The trip will take about 11.93 hours, or approximately 11 hours and 56 minutes.

What is distance?

Distance is the measure of how far apart two objects or locations are from each other. It is usually measured in units such as meters, kilometers, miles, or feet. Distance is a scalar quantity, meaning it has only magnitude and no direction.

To calculate the total time for the trip, we need to take into account the time for driving and the time for lunch.

First, let's calculate the time for driving:

Distance to be covered = 800 miles

Average speed = 70 miles per hour

Time for driving = Distance / Speed

Time for driving = 800 miles / 70 miles per hour

Time for driving = 11.43 hours

So, the driving time is approximately 11.43 hours.

Now, let's add the time for lunch. The stop for lunch is 30 minutes, which is equivalent to 0.5 hours.

Total time for the trip = Time for driving + Time for lunch

Total time for the trip = 11.43 hours + 0.5 hours

Total time for the trip = 11.93 hours

Therefore, the trip will take about 11.93 hours, or approximately 11 hours and 56 minutes.

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The probability of exactly 16 students having jobs in the sample is 0.204 and the probability of 16 or more students having jobs in the sample is 0.334.

Let X be the number of KSU students with jobs in a random sample of 20 students. Since each student in the sample can be either employed or not employed, X follows a binomial distribution with parameters n = 20 (the sample size) and p = 0.50 (the probability of a student having a job).

To find the probability of exactly 16 students having jobs in the sample, we can use the binomial probability mass function

P(X = 16) = (20 choose 16) * 0.5^16 * 0.5^(20-16) = 0.204

To find the probability of 16 or more students having jobs in the sample, we can use the cumulative distribution function

P(X ≥ 16) = 1 - P(X < 16) = 1 - ∑(i=0 to 15) (20 choose i) * 0.5^i * 0.5^(20-i) = 0.334

Based on the sample data, it appears that the proportion of KSU students with jobs is higher than the professor's conjectured value of 0.50. However, we cannot conclusively reject the professor's conjecture based on a single sample of 20 students.

We would need to conduct a hypothesis test with appropriate statistical significance level to determine if the difference between the sample proportion and the conjectured value is statistically significant or not.

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The x-intercepts and slopes of 18y = -3x + 4 and  4/3 x - 5 = 3y are -1/6, (0, 2/9), (4/3, 0) and 4/9, (0, -4/3) and (3, 0) respectively

A line is defined as the shortest distance between two points. The equation of a line in slope-intercept form is expressed as;

y = mx +b

where

m is the slope

b is the y-intercept

For the equation 3x + 18y = 4

18y = -3x + 4

y = -1/6x +2/9

Slope = -1/6

y-intercept =(0, 2/9)

For the x-intercept;

18(0) = -3x + 4

3x = 4

x = 4/3

The x-intercept of the line is (4/3, 0)

For the equation 4/3 x - 5 = 3y

3y = 4/3 x - 4

y = 4/9 x - 4/3

The slope = 4/9

y-intercept = (0, -4/3)

For the x-intercept

3(0) = 4/3 x - 4

4/3 x = 4

x = 3

The x-intercept of the line will be (3, 0)

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Answer:

v = 87.96 cubic mi

Step-by-step explanation:

v = π r^2 h. but diameter is 4 so r =4/2 =2

v = 3.143 * 2^2 * 7

v = 3.143 * 4 *7

v =3.143 *28

v =87.96 cubic mi

Answer:

Step-by-step explanation:

Answer:

A tribe was named after him: the Tribe of Judah, which gave rise to the name of "Judaism", so the correct anser is d, one of the original tribes

Step-by-step explanation:

The percentage of students that use the internet for more than 402 minutes =  16%

Percentage

Percentage, often referred to as percent, is a fraction of 100. Percentage means "per 100," and denotes part a total amount. For example, 45% represents 45 out of 100.

calculate the percentage-

The empirical rule states that

68% of the population lies within 1 standard deviation of the mean

95% of the population lies within 2 standard deviations of the mean

99.7% of the population lies within 3 standard deviations of the mean

Standard Deviation

A standard deviation (or σ) is a measure of how dispersed the data is in relation to the mean. Low standard deviation means data are clustered around the mean, and high standard deviation indicates data are more spread out.

The percentage will be illustrated in this:

P(X > 402) = P(X > 30 + 1 × 102)

= (1-0.68) / 2

= 0.32/2

= 16%

The percentage of students that use the internet for more than 402 minutes =  16%.

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If neither consumption nor investment are affected by changes in interest rates, the slope of the IS curve will be vertical.

The IS (Investment-Saving) curve represents the relationship between real output (Y) and the interest rate (r) in the goods and services market. In a standard macroeconomic model, the IS curve has a negative slope because a decrease in the interest rate leads to an increase in investment and consumption, which in turn leads to an increase in real output. However, if neither consumption nor investment are affected by changes in the interest rate, then the slope of the IS curve will be vertical.

The economic intuition behind this is that if consumption and investment are not affected by changes in the interest rate, then the interest rate has no impact on the demand for goods and services. Therefore, changes in the interest rate will not affect the level of real output. In other words, the vertical IS curve implies that the level of real output is fixed and independent of the interest rate.

This situation is often referred to as a "liquidity trap," where monetary policy becomes ineffective in stimulating economic growth because interest rates cannot be lowered enough to boost consumption and investment. This can happen when interest rates are already at or close to zero and cannot be lowered further. In a liquidity trap, fiscal policy (government spending and taxation) may be used to stimulate the economy instead of monetary policy

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Answer:

13.5

Step-by-step explanation:

13.50 is already rounded to the nearest tenth because the 5 is in the tenth place.

13.50 is basically 13.5

If you're looking for 13.5 rounded to the nearest ones or whole number, the answer would be 14 because any number that is five or greater is rounded up while any number that is four or less is rounded down.

A fraction is equavalent to the top number divided by the bottom number.

5/8 is equivalent to 5 ÷ 8

Answer: C.  5 ÷ 8

On solving the provided question, we can say that  there are 6 girls for every 2 boys, ratio = 3:1

Ratios show how often one number is contained in another in mathematics. For instance, the ratio of oranges to lemons in a fruit dish is 8 to 6 if there are 8 oranges and 6 lemons present. In a similar vein, the proportion of oranges to whole fruit is 8, while that of lemons to oranges is 6:8. A ratio is an ordered pair of numbers a and b that is expressed as a / b, with b not equal to zero. An equation equating two ratios is known as a ratio. The ratio can be expressed as 1:3, for instance, if there is 1 boy and 3 girls (for every boy she has 3 girls) 3/4 are girls, while 1/4 are boys.

there are 6 girls for every 2 boys.

ratio will be

6/2 = 3/1

ratio = 3:1

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The exact values of the sine, cosine, and tangent of the angle 255° are -1/√2, 1/√2, and -1, respectively.

To find the exact values of the sine, cosine, and tangent of the angle 255°, we can use the identity that relates the trigonometric functions of an angle to the trigonometric functions of its complement.

By expressing 255° as the sum of 300° and -45°, we can determine the exact values of the trigonometric functions for the given angle.

We know that the sine, cosine, and tangent of an angle are periodic functions, repeating every 360 degrees. To find the exact values of the trigonometric functions for 255°, we can express it as the sum of 300° and -45°, where 300° is a multiple of 360°.

Since the sine, cosine, and tangent functions are odd or even functions, we can use the values of the trigonometric functions for 45° to determine the values for -45°.

For 45°:

sin(45°) = cos(45°) = 1/√2

tan(45°) = 1

Since cosine is an even function, cos(-45°) = cos(45°) = 1/√2.

Since sine is an odd function, sin(-45°) = -sin(45°) = -1/√2.

Using the definition of tangent as the ratio of sine to cosine, tan(-45°) = sin(-45°) / cos(-45°) = (-1/√2) / (1/√2) = -1.

Therefore, for the angle 255°:

sin(255°) = -1/√2

cos(255°) = 1/√2

tan(255°) = -1

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Given differential equation is y"-9y'+20y=0We can write this equation asy²-9y+20y=0Here, a = 1, b = -9, and c = 20Now, we have to find the roots of this equation.

Now, let us find the value of the discriminant. b²-4ac= (-9)²-4(1)(20)= 81-80= 1Since the value of the discriminant is greater than zero, therefore, we have two real and distinct roots for this equation.Roots are given by the quadratic formula.x= (-b±√(b²-4ac))/2aOn substituting the values of a, b, and c we get,x = (9±√1)/2Now,x1= 5x2= 4/1These roots give two linearly independent solutions as follows: y1=e^5t and y2=e^4tTherefore, the general solution to the differential equation is:y=c1e^5t+c2e^4tWhere c1 and c2 are constants.

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The given differential equation is y"-9y'+20y=0.

Let us use the characteristic equation to solve this differential equation.

The characteristic equation of y"-9y'+20y=0 isr² - 9r + 20 = 0.

Solve for r by factoring the characteristic equation(r - 5)(r - 4) = 0. 

Therefore, r = 5 and r = 4.

Thus, the general solution of the differential equation y"-9y'+20y=0 isy(x) = c₁e⁴x + c₂e⁵x

where c₁, c₂ are constants.

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Area of base

Area of one triangle side

Area of 4 sides

TSA

20+25=45ft²

Answer:

C)  45 ft²

Step-by-step explanation:

Formulae

Area of a square = x²  (where x is the side length)

Area of a triangle = 1/2 × base × height

The surface area of a square pyramid comprises:

⇒ area of square base = 5² = 25 ft²

⇒ area of triangular face = 1/2 × 5 × 2 = 5 ft²

⇒ Total surface area = area of square base + 4 triangular areas

                                   = 25 + 4(5)

                                   = 25 + 20

                                   = 45 ft²

Answer:

at one gas station, gas costs $2.75 per gallon. write and equation that relates the total cost, C, to the number of gallons of gas purchased:  2.75 g  

Answer:

r=C/2pi

r= 32/2pi. pi=3.1415. 2pi= 2×3.1415 =6.2831

given that C= 32, therefore r=32/6.2831 =5.0930.

The flow diagram of the given information gives answers of the following questions :

a. Maximum output orders for the process = 1200 orders

b. Time required to pack orders = 20 hours

c. Maximum number of orders to be waiting = 240 orders

Capacity of order taker = 100 Customers/hour

Capacity of Pick orders = 80 Customers/hour

Capacity of pack orders = 60 Customers/hour

Time to take orders = 7 A.M. to 7 P.M.

                                 = 12 hours

Flow diagram of the process,

First step take orders → second Pick orders → Third pack orders ( ready for shipping)

a. Maximum output of the orders from the above flow chart is equal to number of pack orders.

⇒ Maximum output of the orders  = 60 Customers/hour

b. Number of orders taken in one hour = 100

Total number of orders taken in 12 hours = 100 × 12

                                                                    = 1200 orders

maximum number of orders picked and packed = 60

Time required to pack and ready for shipping 1200 orders

= 1200 / 60

= 20 hours

c. Maximum orders picked in 12hours = 80 × 12

                                                                 = 960 orders

Maximum orders waiting

= Number of taken orders - Number of picked orders

= 1200 - 960

= 240 orders

Therefore, from the flow diagram the answers are:

a. Maximum output orders = 1200 orders

b. Time needed to pack orders = 20 hours

c. Maximum waiting orders = 240 orders

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The above question is incomplete , the complete question is:

Wally's Widget Warehouse takes orders from 7 A.M. to 7 P.M. The manager wants to analyze the process and has provided the process flow diagram shown below. There are three steps required to ship a customer order. The first step is to take the order from a customer. The second step is to pick the order for the customer and then they have to pack the order ready for shipping. Wally promises that every order placed today gets shipped tomorrow. That means that the picking and packing operation must finish all orders before they go home. Customers - Order Taker (100 Customers/hour) - Customer Orders - Pick Orders (80 Customers/hour) - Picked Orders - Pack Orders (60 Customers/hours) - Wait for Shipper.

Wally wants to figure out the following.

a. What is the current maximum output of the process?

b. How long will the picking and packing operations have to work if we have a day where the order taker works at its maximum capacity.

c. Given b, what is the maximum order waiting to be picked

Answer:

x = 10

Step-by-step explanation:

10x+4=104

Subtract 4 from both sides.

10x=104−4

Subtract 4 from 104 to get 100.

10x=100

Divide both sides by 10.

x = \(\frac{100}{10}\)

Divide 100 by 10 to get 10.

x=10

Hope it helps and have a great day! =D

~sunshine~

Answer:

the answer is c

Step-by-step explanation:

546 / 65 = 8.4

8.4 * 100 = 840 students

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