I tried it and got imaginary numbers in the answer.

Answer: 78% of buyers didn't own both a music player or tablet/laptop at once

Step-by-step explanation:

36% didn't own a tablet/laptop, 72% didn't own a iPod/music player and 78% didn't own both at once

The general solution of the partial differential equation is:

U(x, t) = Σ [Aₙ*sin((nπ/3)x)]*e^(-(nπ/3)²t)

The partial differential equation (PDE) is given as:

Uxx = (1/2)Ut with the boundary and initial conditions as 0< X <3 with U(0,t) = U(3, t)=0, U(0, t) = 5sin(4πx)

Assume that the solution can be written as a product of two functions:

U(x, t) = X(x)T(t)

Substituting this into the PDE, we have:

X''(x)T(t) = (1/2)X(x)T'(t)

Dividing both sides by X(x)T(t), we get:

(X''(x))/X(x) = (1/2)(T'(t))/T(t)

Since the left side only depends on x and the right side only depends on t, both sides must be equal to a constant, denoted as -λ²:

(X''(x))/X(x) = -λ²

(1/2)(T'(t))/T(t) = -λ²

Simplifying the second equation, we have:

T'(t)/T(t) = -2λ²

Solving the second equation, we find:

T(t) = Ce^(-2λ²t)

Applying the boundary condition U(0, t) = 0, we have:

U(0, t) = X(0)T(t) = 0

Since T(t) ≠ 0, we must have X(0) = 0.

Applying the boundary condition U(3, t) = 0, we have:

U(3, t) = X(3)T(t) = 0

Again, since T(t) ≠ 0, we must have X(3) = 0.

Therefore, we can conclude that X(x) must satisfy the following boundary value problem:

X''(x)/X(x) = -λ²

X(0) = 0

X(3) = 0

The general solution to this ordinary differential equation is given by:

X(x) = Asin(λx) + Bcos(λx)

Applying the initial condition U(x, 0) = 5*sin(4πx), we have:

U(x, 0) = X(x)T(0) = X(x)C

Comparing this with the given initial condition, we can conclude that T(0) = C = 5.

Therefore, the complete solution for U(x, t) is given by:

U(x, t) = Σ [Aₙsin(λₙx) + Bₙcos(λₙx)]*e^(-2(λₙ)²t)

where:

Σ represents the summation over all values of n

λₙ are the eigenvalues obtained from solving the boundary value problem for X(x).

To find the eigenvalues λₙ, we substitute the boundary conditions into the general solution for X(x):

X(0) = 0: Aₙsin(0) + Bₙcos(0) = 0

X(3) = 0: Aₙsin(3λₙ) + Bₙcos(3λₙ) = 0

From the first equation, we have Bₙ = 0.

From the second equation, we have Aₙ*sin(3λₙ) = 0. Since Aₙ ≠ 0, we must have sin(3λₙ) = 0.

This implies that 3λₙ = nπ, where n is an integer.

Therefore, λₙ = (nπ)/3.

Substituting the eigenvalues into the general solution, we have:

U(x, t) = Σ [Aₙ*sin((nπ/3)x)]*e^(-(nπ/3)²t)

where Aₙ are the coefficients that can be determined from the initial condition.

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The answer is (a)..........

Answer:

The null hypothesis failed to be rejected.

There is not enough evidence to support the claim that the valve pressure is significantly different from 5.5 psi.

P-value = 0.04

Test statistic z=2.05

Step-by-step explanation:

This is a hypothesis test for the population mean.

The claim is that the valve pressure is significantly different from 5.5 psi.

Then, the null and alternative hypothesis are:

\(H_0: \mu=5.5\\\\H_a:\mu\neq 5.5\)

The significance level is 0.02.

The sample has a size n=270.

The sample mean is M=5.6.

The standard deviation of the population is known and has a value of σ=0.8.

We can calculate the standard error as:

\(\sigma_M=\dfrac{\sigma}{\sqrt{n}}=\dfrac{0.8}{\sqrt{270}}=0.049\)

Then, we can calculate the z-statistic as:

\(z=\dfrac{M-\mu}{\sigma_M}=\dfrac{5.6-5.5}{0.049}=\dfrac{0.1}{0.049}=2.054\)

This test is a two-tailed test, so the P-value for this test is calculated as:

\(\text{P-value}=2\cdot P(z>2.054)=0.04\)

As the P-value (0.04) is bigger than the significance level (0.02), the effect is not significant.

The null hypothesis failed to be rejected.

There is not enough evidence to support the claim that the valve pressure is significantly different from 5.5 psi.

Answer:

Step-by-step explanation:

A formula that gives the amount is

The half life of the element is calculated from the formula

N(t) = N'(1/2)^(t/t')

where

N(t) = quantity of the substance remaining

N' = initial quantity of the substance

t = time elapsed

t' = half life of the substance

Plugging the values from the problem

N(t) = ?

N' = 70 grams

t = t

t' = 2.6 years

N(t) = 70 (0.5)^t/2.6

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Answer:

multiply both sides by 2

Step-by-step explanation:

you mtiply because you are doing the opposite of division. the f and the 2 are being divided.

The approximate height of the tree is given as follows:

45.6 ft.

The geometric mean theorem states that the length of the altitude drawn from the right angle of a triangle to its hypotenuse is equal to the geometric mean of the lengths of the segments formed on the hypotenuse.

The altitude segment for this problem is given as follows:

14.5 ft.

The bases are given as follows:

5.2 ft and x ft.

Hence the value of x is given as follows:

5.2x = 14.5²

x = 14.5²/5.2

x = 40.4 ft.

Hence the height of the three is given as follows:

5.2 + 40.4 = 45.6 ft.

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Answer: x=-3, x=3

Step-by-step explanation:

Answer:

4-[x]=1

-4.    -4

-[x]=-3

x=3

Answer:

Step-by-step explanation:

x - 2y =8

   -2y = -x + 8

      \(y = \frac{-1}{-2}x+ \frac{8}{-2}\\\\y =\frac{1}{2}x - 4\)

When x = 4,

     \(y = \frac{1}{2}*4-4\\\\ = 2-4\\\\y = -2\)

(4, - 2)

When x = -4,

    \(y =\frac{1}{2}*(-4) - 4\\\\ = -2 - 4\\\\= - 6\)

(-4, -6)

Plot the points (4, -2) and (-4 , -6) in the graph and Join the points

Answer:

the range the score is 59 is the correct answer

Step-by-step explanation:

Range is the largest no minus the smallest no...so 59 is the largest minus 0 the smaller number

Answer:

3cm+2cm+5cm=10cm

%=100

10*10=100

2cm*10=20%

Step-by-step explanation:

the shaded area is width of 2 2/10 or 20/100

Answer:

33%

Step-by-step explanation:

for if u want to do it 4cm then

4+3+3=10

100π cm^2

49π cm^2

16π cm^2

49π - 16π = 33π

33/100 =33%

Answer:

1 2/3 (1.67)

Step-by-step explanation:

x= 10

A. P(6, then 1) = 1/90

B. P(even, then 5) = 1/18

C. P(8, then odd) = 1/18

D. P(3, then prime) = 2/45

E. P(prime, composite) = 4/15

F. P(even, then 3, then 5) = 1/144

Given:

Total number of cards: 10

A. P(6, then 1):

P(6, then 1) = 1/10 x 1/9

= 1/90

B. P(even, then 5):

Number of favorable outcomes: 5 x 1 = 5

P(even, then 5) = 5/10 x 1/9

= 1/18

C. P(8, then odd):

Number of favorable outcomes: 1 x 5 = 5

P(8, then odd) = 1/10 x 5/9

= 1/18

D. P(3, then prime):

Number of favorable outcomes: 1 x 4 = 4

P(3, then prime) = 1/10 x 4/9

= 2/45

E. P(prime, composite):

Number of favorable outcomes: 4 x 6 = 24

P(prime, composite) = 4/10 x 6/9

= 4/15

F. P(even, then 3, then 5):

Number of favorable outcomes: 5 x 1 x 1 = 5

P(even, then 3, then 5) = 5/10 x 1/9 x 1/8

= 1/144

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Answer:

try c

Step-by-step explanation:

i dont know

https://brainly.com/question/16148316Based on the given information option D i.e.  fourth two-way table represents the results of the survey .

A two way table is a way to display frequencies or relative frequencies for two categorical variables. One category is represented by rows and a second category is represented by columns.

A two-way table is a way to organise data about two specific variables. This example shows a two-way table where the variables are gender and favourite sport. The table holds a lot of information.

Making two way tables

Step 1: Identify the variables.

Step 2: Determine the possible values of each variable.

Step 3: Set up the table.

Step 4: Fill in the frequencies.

On the basis of the given question

Total males = 49 , in which 30 prefer a music center and rest of the males (19) prefer computer center.

Total students = 100 , in which 44 students prefer a computer center and rest of the students (56) prefer music center.

There is no data given for females .

Therefore ,  on the provided data, option D, or the fourth two-way table, depicts the survey results.

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Based on the given information option D i.e.  fourth two-way table represents the results of the survey .

When displaying frequencies or relative frequencies for two categorical variables, a two-way table is used. Columns indicate the second category, whereas rows represent the first.

Data regarding two particular variables can be organized using a two-way table. The variables in this example's two-way table are gender and preferred sport. There is a lot of information in the table.

Creating round tables

First, determine the variables.

Step 2: Establish the range of possibilities for each variable.

3. Position the table.

Fill in the frequencies in Step 4.

Using the posed query as a guide

Total number of guys is 49, of which 30 prefer a music center and the remaining 19 a computer center.

100 pupils total, of whom 44 chose a computer center and the remaining (56 kids) a music center.

There is no information provided for women.

As a result, option D, or the fourth two-way table, shows the survey results based on the data provided.

Designing an easy do-it-yourself compost bin:

Drawing and Description:

The compost bin can be a simple structure made of wood or wire mesh. It consists of four sides, a bottom, and a removable lid. The sides and bottom are connected securely to form a rectangular shape, while the lid allows for easy access to the contents inside.

The bin can be placed directly on the ground or on a solid surface, depending on personal preference.

Materials Used:

Wood or wire mesh (depending on preference)

Nails or screws to assemble the structure

Size of the Bin:

The size of the bin can vary based on the available space and the amount of compostable materials you generate. A suitable size for a home compost bin could be approximately 3 feet wide, 3 feet deep, and 3 feet tall.

Substances Used to Fill It:

To fill the compost bin, you would need a mix of "green" and "brown" materials. "Green" materials include fruit and vegetable scraps, coffee grounds, tea leaves, grass clippings, and plant trimmings. "Brown" materials consist of dry leaves, shredded newspaper, cardboard, and small twigs.

Household Items That Can Go in It:

You can add a variety of household items to the compost bin, such as fruit and vegetable peels, eggshells, coffee grounds, tea bags, yard waste (leaves, grass clippings, plant trimmings), shredded paper, cardboard, and natural fibers (like cotton or wool scraps).

Time for Compost to Be Ready:

The time it takes for the compost to be ready varies depending on factors like temperature, moisture, and the type of materials used. Generally, it takes about 2 to 6 months for compost to fully decompose and become ready to use.

Using the Compost:

Once the compost has broken down into a dark, crumbly, and earthy material, it is ready to use. You can spread it in your garden beds or pots as a nutrient-rich soil amendment. It improves soil structure, retains moisture, and provides essential nutrients for plants' growth.

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BC is tangent to circle A, and the value of r is 10.

Given,

BC=24

CD=16

AD=AB=r

To find the value of r, we can use the fact that a tangent line to a circle is perpendicular to the radius at the point of tangency. So we know that angle ABD is a right angle, and we can use the Pythagorean theorem

The Pythagorean theorem can be used to calculate the value of r:

\(AB^2+BC^2=AC^2\)

\(r^2+24^2=(r+16)^2\)

\(r^2= (r+16)^2-24^2\)

\(r^2\)= \(r^2\)+256+32r-576

\(r^2\)=\(r^2\)+32r-320

\(r^2-r^2\)-32r=-320

-32r=-320

r=320/32

r=10

Therefore the correct answer is r=10.

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The impact on Carns Company's income from eliminating the Small Tools Division would be a decrease of $1,209,000.

To determine the impact on Carns Company's income from eliminating the Small Tools Division, we need to consider the avoidable costs associated with the division.

The avoidable costs include all of the variable costs of the division and a portion of the fixed costs that are specifically related to the Small Tools Division. In this case, the variable costs of the division are $1,295,000, and $119,000 of the fixed costs are avoidable.

To calculate the impact on income, we subtract the avoidable costs from the loss reported by the division:

Impact on income = Loss - Avoidable costs

Impact on income = $205,000 - ($1,295,000 + $119,000)

Impact on income = $205,000 - $1,414,000

Impact on income = -$1,209,000

The negative sign indicates a decrease in income.

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Answer:

\(y=\frac{2}{5}x-3\)

or

\(y+3=\frac{2}{5} (x-0)\)

Step-by-step explanation:

We are given two points on Line A: (0,-3) and (5,-1). We can assign each integer to a variable in the slope formula (see above):

\(x_1=0\)

\(y_1=-3\)

\(x_2=5\)

\(y_2=-1\)

As we have identified point, we can now work to identify slope by substituting our points into the slope formula:

\(m=\frac{-1-(-3)}{5-0}=\frac{2}{5}\)

Now that we have identified both point and slope for Line A, we can format these values in point-slope form. Substitute values into the formula:

\(y-(-3)=\frac{2}{5} (x-0)=y+3=\frac{2}{5}x\)

Solve for \(y\) to achieve an answer in slope-intercept form (\(y=mx+b)\):

\(y=\frac{2}{5} x-3\)

The true statement regarding the probability density function f(x) and the cumulative density function f(x) of a continuous random variable is 0 < F(x) < 1. and F(x) = 1 for at least one value of x,  F(x) = 1 for all values of x > a, where a is a constant.

What is meant by probability density function?

In math, probability density function refers most commonly associated with absolutely continuous univariate distributions.

Here we need to find the true statement regarding the probability density function f(x) and the cumulative density function f(x) of a continuous random variable.

In order to find the correct statement, we must know the definition of the cumulative density function also.

The cumulative density function means the probability function that X will take a value less than or equal to x.

Based on the both definition option (A), (B) and (C) are true.

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Answer:

A

Step-by-step explanation:

because > means more than the other number

Answer:

To answer this question, we need to understand the basic concepts of profit and loss in business transactions. Profit is the financial gain obtained when the selling price of an article is more than its cost price. On the other hand, loss occurs when the selling price is less than the cost price. The percentage of profit or loss is calculated based on the cost price.

Given that selling an article for Rs. 517.5 makes a profit of 15%, we can use this information to find out the cost price of the article. The formula to calculate cost price when profit percentage and selling price are known is:

Cost Price = Selling Price / (1 + Profit Percentage/100)

Substituting the given values into this formula, we get:

Cost Price = Rs. 517.5 / (1 + 15/100)

Cost Price = Rs. 517.5 / 1.15

Cost Price = Rs. 450

So, the cost price of the article is Rs. 450.

Next, we need to find out at what price should it be sold to get a 10% loss. The formula to calculate selling price when loss percentage and cost price are known is:

Selling Price = Cost Price * (1 - Loss Percentage/100)

Substituting the given values into this formula, we get:

Selling Price = Rs. 450 * (1 - 10/100)

Selling Price = Rs. 450 * 0.9

Selling Price = Rs. 405

So, to incur a loss of 10%, the article should be sold for Rs. 405.

The main answer to your question is: The cost price of the article is Rs. 450 and it should be sold for Rs. 405 to incur a loss of 10%.

Answer:

Rs 405

Step-by-step explanation:

Selling price = Rs. 517.5

Profit %= 15%=0.15

We can use this formula to calculate cost price:

Cost price = Selling price - profit% of cost price

Cost price + profit % of cost price =Selling price

cost price (1+profit %)=Selling price

cost price (1+0.15)=Rs 517.5

cost price=Rs 517.5/1.15

cost price =Rs 450

Find the selling price to get 10% loss.

Cost price = Rs. 450

Loss = 10%=0.10

We can use this formula to calculate new selling price:

Selling price = Cost price - loss% of cost price

= 450-0.10*450

=405

Therefore, the cost price of the article is Rs. 450 and the selling price to get 10% loss is Rs. 405.

Answer:

The difference is 1.43oz.

Step-by-step explanation:

4.28 - 2.85 is 1.43.

The number of sodas sold at the baseball game was 119, while the number of hot dogs sold was 72.

Let's assume the number of sodas sold as 'x' and the number of hot dogs sold as 'y'.

According to the problem, the total number of sodas and hot dogs sold is 191, so we can write the equation:

x + y = 191   ...(1)

The problem also states that the number of hot dogs sold was 47 less than the number of sodas sold. Mathematically, we can express this as:

y = x - 47   ...(2)

To find the values of x and y, we can solve the system of equations (1) and (2). Substituting equation (2) into equation (1), we have:

x + (x - 47) = 191

Simplifying the equation:

2x - 47 = 191

2x = 191 + 47

2x = 238

Dividing both sides by 2:

x = 238/2

x = 119

Substituting the value of x back into equation (2):

y = 119 - 47

y = 72

As a result, the total amount of sodas sold is 119, and the total amount of hot dogs sold is 72.

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Answer:

Step-by-step explanation:

Assuming these are lengths of a line segment,

you would add AB to BC to get AC.

18 + 8 = 26

Answer:

9/64

Step-by-step explanation:

it is just 3/8 x 3/8

Answer:

Taylor would need 4 hours to read the whole novel.

Step-by-step explanation:

Proportions

According to the conditions of the problem, Taylor reads 1/6 of a novel in 2/3 of an hour.

To read the entire novel he would need six times that time.

Thus, to read the whole novel, Taylor would need 6*2/3 = 12/3= 4 hours

Taylor would need 4 hours

There is no significant difference between the mean scores of Education and Nursing students in mathematics.

Null hypothesis (H₀): There is no significant difference between the mean scores of Education and Nursing students in mathematics.

Alternative hypothesis (H₁): There is a significant difference between the mean scores of Education and Nursing students in mathematics.

We will use significance level (α) of 0.01.

Given:

Sample mean for Education students (x₁) = 88.50

Sample mean for Nursing students (x₂) = 90.25

Standard deviation for the Education student sample (s₁) = 7.5

Standard deviation for the Nursing student sample (s₂) = 8.2

Sample size for Education students (n₁) = 25

Sample size for Nursing students (n₂) = 29

The t-test statistic for two independent samples is:

t = (x1₁ - x2) / sqrt((s₁² / n₁) + (s₂² / n₂))

t = (88.50 - 90.25) / sqrt((7.5² / 25) + (8.2² / 29))

t ≈ -0.8187

In this case, df = 24.

The critical value for α = 0.01 and df = 24 is approximately ±2.797.

Since |-0.8187| < 2.797, the absolute value of the t-test statistic is smaller than the critical value.

Therefore, we fail to reject the null hypothesis.

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