Hima makes handmade craft paper.
Hima’s friend Sharon, ordered 1250 sheets of paper from Hima for printing his wedding invitation card.
Hima sells each sheet for ₹ 3.2, but Sharon being her friend, she sold the paper for ₹2.9.
From the options given below, identify the total discount Sharon got in this purchase.

The arithmetic sequence is solved and the nth term is Aₙ = 5 + ( n - 1 )12

Given data ,

Let the terms of the AP be represented as

a₂ = 17, a₄ = 41, and a₇ = 77

So , a + d = 17

Now , a₂ + 2d = 41

On simplifying , we get

2d = 24

Divide by 2 on both sides , we get

d = 12

So , the first term is a = a₂ - 12

a = 5

So , the nth term of AP is Aₙ = 5 + ( n - 1 )12

Hence , the arithmetic progression is solved

To learn more about arithmetic progression click :

https://brainly.com/question/1522572

#SPJ1

The expected value of xx is 6. This means that, on average, we can expect 6 successes out of the 20 trials, given a success probability of 0.30.

To find the expected value of xx, we need to use the formula for the expected value of a binomial distribution which is:

E(x) = np

where n is the number of trials and p is the probability of success in each trial.

In this case, n=20 and p=0.30, so we can plug these values into the formula:

E(x) = 20 x 0.30
E(x) = 6

Therefore, the expected value of xx is 6. This means that if we were to repeat this experiment many times, we would expect to see an average of 6 successes per 20 trials. However, it is important to note that the actual number of successes in any given set of 20 trials may be more or less than 6. The expected value simply gives us an idea of what to expect on average over the long run.

To find the expected value of xx, which follows a binomial distribution with parameters n=20 and success probability p=0.30, we can use the formula for the expected value of a binomial distribution, which is:

Expected value (E) = n * p

Here, n represents the number of trials (n=20) and p represents the success probability (p=0.30).

Step 1: Identify the values of n and p.
n = 20
p = 0.30

Step 2: Apply the formula for the expected value of a binomial distribution.
E = n * p

Step 3: Substitute the values of n and p into the formula.
E = 20 * 0.30

Step 4: Calculate the expected value.
E = 6

So, the expected value of xx is 6. This means that, on average, we can expect 6 successes out of the 20 trials, given a success probability of 0.30.

Learn more about average at: brainly.com/question/27193544

#SPJ11

The upper bound approximation for pi within 0.005 is 3.150 and the lower bound approximation is 3.140.

we can use the fact that pi is approximately equal to 3.14159. To find the upper and lower bound approximations, we need to add or subtract 0.005 from this value.

For the upper bound approximation, we add 0.005 to 3.14159, which gives us 3.14659. Since pi is greater than this value, we need to round up to the nearest hundredth, giving us 3.150.

For the lower bound approximation, we subtract 0.005 from 3.14159, which gives us 3.13659. Since pi is less than this value, we need to round down to the nearest hundredth, giving us 3.140.

the upper and lower bound approximations for pi within 0.005 are 3.150 and 3.140 respectively.

To know more about upper bound visit:

https://brainly.com/question/22965427

#SPJ11

The function `computenum` is a simple Python function that takes an integer parameter and returns the product of the parameter and 9. This means that the function returns a value that is nine times the value of the input parameter.

The `computenum` function can be implemented in Python using a single line of code, as shown below:

```python

def computenum(num):

   return num * 9

```

This code defines a function called `computenum` that takes a single parameter called `num`. The function body consists of a single line of code that multiplies `num` by 9 and returns the result. When the function is called with an integer argument, it returns the product of that argument and 9. This function can be used in various contexts where a value needs to be multiplied by 9.

To learn more about integer argument click here: brainly.com/question/30822373

#SPJ11

Answer: y=−(x−5/2)^2−3/4

The composite function is c(x(t)) = 3(2-6t)^2 - 7, and its derivative with respect to t is dc/dt = -72 + 216t.

To write the composite function, we substitute the expression for x(t) into c(x), giving c(x(t)) = 3(2-6t)^2 - 7.

To find the derivative of this composite function with respect to t, we use the chain rule:

dc/dt = (dc/dx) * (dx/dt)

where (dc/dx) is the derivative of c(x) with respect to x, and (dx/dt) is the derivative of x(t) with respect to t.

Taking the derivative of c(x) = 3x^2 - 7 with respect to x, we get:

dc/dx = 6x

And taking the derivative of x(t) = 2 - 6t with respect to t, we get:

dx/dt = -6

Substituting these values into the chain rule formula, we get:

dc/dt = (6x) * (-6)

Since x(t) = 2-6t, we can substitute that expression for x to get:

dc/dt = (6(2-6t)) * (-6)

Simplifying, we get:

dc/dt = -72 + 216t

So the composite function is c(x(t)) = 3(2-6t)^2 - 7, and its derivative with respect to t is dc/dt = -72 + 216t.

Learn more about composite functions here:-brainly.com/question/5614233
#SPJ11

Answer:

4 pizzas

Step-by-step explanation:

first of all, subtract parking fee from total:

52 - 4 = 48.

now divide by 12:

48/12

4.

so he he pays for 4 pizzas at $12 each (4 X 12 = 48).

and he pays $4 for parking.

48 + 4 = 52.

A value of r greater than 0.40 indicates a stronger correlation than 0.40.

The correlation coefficient, denoted as "r," measures the strength and direction of the linear relationship between two variables. The value of r ranges from -1 to 1. When the absolute value of r is closer to 1, it indicates a stronger correlation. In this case, a value of r greater than 0.40 suggests a stronger positive correlation than 0.40.

This means that as one variable increases, the other variable tends to increase as well, and the relationship between the variables is more pronounced. For example, if the correlation coefficient is 0.60, it indicates a stronger positive correlation than 0.40. Similarly, if the correlation coefficient is 0.90, it indicates an even stronger positive correlation. On the other hand, if the correlation coefficient is negative, such as -0.60 or -0.90, it indicates a stronger negative correlation.

To know more about correlation,

https://brainly.com/question/30883564

#SPJ11

High interest rates affect the demand for housing because they make it more expensive to borrow money, which makes it more difficult for people to afford homes.

High interest rates adversely affect the demand for housing because they increase the cost of borrowing money for mortgages, making it more expensive for potential homebuyers to purchase a house.

Know more about the High interest rates

https://brainly.com/question/25720319

#SPJ11

The travel time for a college student travelling between her home and her college is uniformly distributed between 40 and 70 minutes. The probability that the college student will finish her trip in 60 minutes or less is c. 0.6667.

To calculate the probability, we'll use the information about the travel time uniformly distributed between 40 and 70 minutes.
Step 1: Identify the range of possible travel times.
The range is from 40 to 70 minutes, so the total range is 70 - 40 = 30 minutes.
Step 2: Identify the desired range (60 minutes or less).
Since we want to find the probability that the trip takes 60 minutes or less, the desired range is 60 - 40 = 20 minutes.
Step 3: Calculate the probability.
Since the distribution is uniform, the probability is simply the ratio of the desired range to the total range. Therefore, the probability is 20/30 = 2/3 = 0.6667.

To learn more about probability refer:-

https://brainly.com/question/32004014

#SPJ11

The points whose distance from (-3,-4) is the square root of 10 and whose distance from (1,0) is the square root of 10 are given by the circle (x+3)^2 + (y+4)^2 = 2, which has center (-3,-4) and radius sqrt(2).

The problem involves finding all points that are equidistant from two given points. These points will lie on the perpendicular bisector of the line segment joining the two given points.

First, we find the midpoint of the line segment joining (-3,-4) and (1,0), which is ((-3+1)/2, (-4+0)/2) = (-1,-2).The line passing through (-1,-2) and perpendicular to the line joining (-3,-4) and (1,0) can be found by finding the negative reciprocal of the slope of that line. The slope of the line joining (-3,-4) and (1,0) is (0-(-4))/(1-(-3)) = 4/4 = 1. So the slope of the perpendicular line is -1/1 = -1.

Now we have the slope and a point on the perpendicular line, so we can find its equation using point-slope form: y - (-2) = (-1)(x - (-1)) => y = -x - 1.

Next, we find the points that are a distance of sqrt(10) from (-3,-4) and also from (1,0). Let (x,y) be a point on the line y = -x - 1. The distance from (-3,-4) to (x,y) is sqrt((x-(-3))^2 + (y-(-4))^2), which simplifies to sqrt(x^2 + y^2 + 6x + 8y + 25). Similarly, the distance from (1,0) to (x,y) is sqrt((x-1)^2 + y^2). Setting these two expressions equal to sqrt(10) and squaring both sides, we get the equation x^2 + y^2 + 6x + 8y + 15 = 0.

We can complete the square to rewrite this equation as (x+3)^2 + (y+4)^2 = 2. This is the equation of a circle centered at (-3,-4) with radius sqrt(2). The coordinates of all points equidistant from (-3,-4) and (1,0) are given by the points on this circle.

To learn more about POINTS click here:

brainly.com/question/28762900

#SPJ11

True. If a table is in 1NF (First Normal Form) and its primary key is not a composite key, then the table is also in 2NF (Second Normal Form).

1NF requires that a table has no repeating groups, and all entries in a column are of the same data type. In other words, each attribute must have a single value, and there can't be multiple instances of the same attribute within a single row. This ensures that the table is well-structured and organized. 2NF builds on the requirements of 1NF and mandates that a table should have no partial dependencies. This means that each non-primary key attribute must be fully functionally dependent on the entire primary key, and not just a part of it. When the primary key is not a composite key, it means that it consists of a single attribute. In this case, all non-primary key attributes would be fully functionally dependent on the primary key by default, as there are no other components in the primary key for partial dependency to occur. Therefore, if a table with a non-composite primary key is in 1NF, it will also satisfy the conditions for 2NF.

Learn more about composite key here:

https://brainly.com/question/8131854

#SPJ11

To find the sum of the function f(k) = k^2 - 3k^3 over the integers 1, 2, 3, ..., 11, we can simply evaluate the function for  each integer in the given range and add up the results.

f(1) = 1^2 - 3(1) = -2

f(2) = 2^2 - 3(2) = -2

f(3) = 3^2 - 3(3) = 0

f(4) = 4^2 - 3(4) = 4

f(5) = 5^2 - 3(5) = 10

f(6) = 6^2 - 3(6) = 18

f(7) = 7^2 - 3(7) = 28

f(8) = 8^2 - 3(8) = 40

f(9) = 9^2 - 3(9) = 54

f(10) = 10^2 - 3(10) = 70

f(11) = 11^2 - 3(11) = 88

To find the sum, we add up all these values:

-2 + (-2) + 0 + 4 + 10 + 18 + 28 + 40 + 54 + 70 + 88 = 308

Therefore, the sum of f(k) over the integers 1 to 11 is 308.

Learn more about Integers here -: brainly.com/question/929808

#SPJ11

The area between the functions f(x) = 2 · x + 6 and g(x) = 2 · x² + 2 is equal to 8.333 square units. (Right choice: C)

In this question we must determine the area between the functions f(x) = 2 · x + 6 and g(x) = 2 · x² + 2, this can be done by using the following definite integral:

A = ∫²₋₁ [f(x) - g(x)] dx

A = ∫²₋₁ f(x) dx - ∫²₋₁ g(x) dx

A = ∫²₋₁ (2 · x + 6) dx - ∫²₋₁ (2 · x² + 2) dx

A = x²|²₋₁ + 6 · x|²₋₁ - (2 / 3) · x³|²₋₁ - 2 · x|²₋₁

A = 2² - (- 1)² + 6 · [2 - (- 1)] - (2 / 3) · [2³ - (- 1)³] - 2 · [2 - (- 1)]

A = 1 + 18 - 14 / 3 - 6

A = 8.333  

To learn more on areas by definite integrals: https://brainly.com/question/30503469

#SPJ1

if Jeremiah wants to get the most dog food for his money, he should buy the Woofy Waffles.

For Part A,

According to the given data in the table,

To calculate the unit rate for each package,

Simply divide the cost by the size.

So, for Canine Cakes,

The unit rate would be $24 ÷ 16 pounds = $1.50 per pound.

For Bark Bits,

The unit rate would be $82 ÷ 50 pounds = $1.64 per pound.

And for Woofy Waffles,

The unit rate would be $48 ÷ 40 pounds = $1.20 per pound.

For Part B,

To determine the best buy using the unit rates found in Part A.

The best buy is the package with the lowest unit rate,

because that means you're getting the most product for your money.

In this case,

The package with the lowest unit rate is Woofy Waffles,

At $1.20 per pound.

Learn more about the multiplication visit:

brainly.com/question/10873737

#SPJ1

To find the Taylor series about 0 for the function t3sin(5t), we need to compute its derivatives up to the fourth order at x = 0. First, let's compute the first four derivatives:

f(t) = t^3sin(5t)

f'(t) = 3t^2sin(5t) + 5t^3cos(5t)

f''(t) = 6tsin(5t) + 30t^2cos(5t) - 25t^3sin(5t)

f'''(t) = 6sin(5t) + 90tcos(5t) - 75t^2sin(5t)

f''''(t) = 450cos(5t) - 270t sin(5t)

Next, we evaluate these derivatives at x = 0:

f(0) = 0

f'(0) = 0

f''(0) = 0

f'''(0) = 6

f''''(0) = 450

Finally, we can write the Taylor series about 0 for t3sin(5t) as:

t^3sin(5t) ≈ 0 + 0t + 0t^2 + (6/3!)t^3 + (450/4!)t^4

≈ (1/3!)t^3 + (1/4)t^4

Therefore, the first four nonzero terms of the Taylor series about 0 for t3sin(5t) are (1/3!)t^3 and (1/4!)t^4. These terms approximate the function t3sin(5t) near x = 0 with increasing accuracy as x gets closer to 0.

To learn more about derivatives: brainly.com/question/25324584

#SPJ11

Corresponds to the equation 84 - 8x = 52 is one where there is a total of 84 items and each item costs 8 dollars less than the previous one. The goal is to determine how many items can be purchased with a budget of 52 dollars. Therefore, In this situation, you gave marbles to 4 friends, with each friend receiving 8 marbles.

Situation, You have 84 marbles in a jar. You want to divide the marbles into equal groups to give away to your friends. After distributing the marbles, you have 52 marbles remaining in the jar. How many friends did you give the marbles to....

Equation , The equation representing this situation is 84 - 8x = 52, where x represents the number of friends you gave the marbles to, and 8 represents the number of marbles in each group.

1. Write down the equation: 84 - 8x = 52

2. To find the value of x, we will first isolate the term containing x. To do this, we need to move the constant term (84) to the other side of the equation by subtracting it from both sides: -8x = 52 - 84

3. Perform the subtraction: -8x = -32

4. Now, to solve for x, we will divide both sides of the equation by -8: x = -32 / -8

5. Perform the division: x = 4

Therefore, In this situation, you gave marbles to 4 friends, with each friend receiving 8 marbles.

Learn more about constant term here:

brainly.com/question/28714992

#SPJ11

The activity that does not support students learning about two-dimensional shapes in different orientations is D. constructing figures with centimeter cubes. This activity involves three-dimensional objects, specifically cubes, which are not two-dimensional shapes.

Options A, B, and C all involve activities related to two-dimensional shapes. However, option D involves constructing figures with centimeter cubes, which refers to three-dimensional objects, not two-dimensional shapes. Thus, it does not support students' learning about two-dimensional shapes in different orientations.

The activity that does not support students learning about two-dimensional shapes in different orientations is constructing figures with centimeter cubes.

Two-dimensional shapes exist in a plane and have only length and width, while three-dimensional shapes have length, width, and depth. Centimeter cubes are three-dimensional objects and are not suitable for learning about two-dimensional shapes in different orientations. Activities such as cutting shapes with five squares on grid paper, sketching shapes that have been shown for only five seconds, and constructing shapes with given numbers of simple tiles are effective ways to support students learning about two-dimensional shapes in different orientations. These activities require students to think about how the shapes are arranged and how they can be rotated, flipped, or translated to create different orientations. By engaging in these activities, students can develop spatial reasoning skills and gain a deeper understanding of two-dimensional shapes.

Learn more about Cube:

brainly.com/question/28134860

#SPJ11

Answer: The two consecutive integers are 36 and 37.

Step-by-step explanation: Let's call the smaller integer "x".

According to the problem, the larger integer is the next consecutive integer, so we can call it "x + 1".

The problem tells us that the sum of the larger integer and 23 less than the smaller integer is 50. So we can set up the equation:

(x + 1) + (x - 23) = 50

Simplifying the equation, we get:

2x - 22 = 50

Adding 22 to both sides, we get:

2x = 72

Dividing both sides by 2, we get:

x = 36

So the smaller integer is 36. The next consecutive integer is 37.

Therefore, the two consecutive integers are 36 and 37.

The probability of getting all three tosses to head is 1/8.

We have,

When a coin is tossed, there are two possible outcomes:

heads (H) or tails (T).

Since there are three tosses, the total number of possible outcomes.

2³ = 8.

The probability of getting heads on one toss is 1/2.

The probability of getting heads on all three tosses is the product of the probabilities of getting heads on each individual toss:

P(HHH) = P(H) x P(H) x P(H) = (1/2) x (1/2) x (1/2) = 1/8.

Therefore,

The probability of getting all three tosses to head is 1/8.

Learn more about probability here:

https://brainly.com/question/14099682

#SPJ1

Answer:

5.11 × 10^3 km

Step-by-step explanation:

5,110 km ÷ 1,000 = 5.11 × 10^3 km

Therefore, the diameter of the planet at its equator in scientific notation is 5.11 × 10^3 km.

The probability that more than half a tank is sold given that three-fourths of a tank is stocked is P(Y2 > 1/2 | Y1 = 3/4) = ∫ f(y1=3/4 | y2) dy2, with integration limits from 1/2 to the upper limit of the domain of Y2.

a) To find the marginal density function for Y2, we need to integrate the joint density function f(y1, y2) with respect to y1 over its domain. The marginal density function for Y2 is given by:

f_Y2(y2) = ∫ f(y1, y2) dy1

b) The conditional density f(y1|y2) is defined for values of y2 for which the marginal density function f_Y2(y2) is positive. In other words, we need to find the range of y2 values for which f_Y2(y2) > 0.

c) The probability that more than half a tank is sold given that three-fourths of a tank is stocked can be found using the conditional density f(y1|y2). Let Y1 = 3/4 and Y2 > 1/2. Then the probability is given by:

P(Y2 > 1/2 | Y1 = 3/4) = ∫ f(y1=3/4 | y2) dy2, with integration limits from 1/2 to the upper limit of the domain of Y2.

Learn more about probability here:

brainly.com/question/30034780

#SPJ11

To parenthesize an arithmetic expression with n nonnegative numbers and n-1 addition and multiplication operators, determine the different ways to parenthesize the expression and evaluate each expression to find the different possible values.

To parenthesize an arithmetic expression with a given sequence of n nonnegative numbers separated by n-1 addition (+) and multiplication (x) operators, follow these steps:

1. Identify the sequence of numbers and operators: In the example provided, the sequence is 2x3x0+6+2x5+4.

2. Determine the possible parenthesizations: You can parenthesize the expression in different ways to get different results, such as:
  - ((2x3)x(0+6))+(2x(5+4)) = 54
  - (2x3)((0+(6+2))(5+4)) = 432
  - (2x(3x0))+(6+((2x5)+4)) = 20

3. Evaluate each parenthesized expression: Calculate the values of each expression by following the order of operations (PEMDAS) - Parentheses, Exponents, Multiplication, and Division (from left to right), and Addition and Subtraction (from left to right).

In summary, to parenthesize an arithmetic expression with n nonnegative numbers and n-1 addition and multiplication operators, determine the different ways to parenthesize the expression and evaluate each expression to find the different possible values.

Know more about the arithmetic expression here:

https://brainly.com/question/1859113

#SPJ11

The perimeter of the isosceles trapezoid is equal to 456 feet which makes the option c correct.

This is a trapezoid in which the base angles are equal and therefore the left and right side lengths are also equal. The opposite angles are supplementary which implies they sum up to 180°.

We shall first find the length of the left and right sides which are of same length as follows:

3x - 2 = 2x + 3

3x - 2x = 3 + 2

x = 5

PQ = 6(25) - 10 = 140

QR = 3(25) - 22 = 53

RS = 9(25) - 15 = 210

PS = 2(25) + 3 = 53

perimeter of the Isosceles trapezoid = 140ft + 53ft + 210ft + 53ft

perimeter of the Isosceles trapezoid = 456ft.

Therefore, the perimeter of the isosceles trapezoid is equal to 456 feet which makes the option c correct.

Read more about Isosceles trapezoid here:https://brainly.com/question/10187910

#SPJ1

The ratio of the length of the car to the length of the model is 13.33.

The division method of comparing two amounts can be quite effective in some circumstances. We can argue that a ratio is the comparison or condensed form of two quantities of the same type.

To find the ratio of the length of the car to the length of the model, we need to convert both lengths to the same units. Let's convert the length of the model from inches to feet:

Length of model = 9 inches / 12 inches per foot

Length of model = 0.75 feet

Now we can calculate the ratio:

Ratio of car length to model length = Length of car / Length of model

Ratio of car length to model length = 10 feet / 0.75 feet

Ratio of car length to model length = 13.33

Therefore, the ratio of the length of the car to the length of the model is 13.33.

Learn more about ratio on:

https://brainly.com/question/13758092

#SPJ4

The maximum area that can be enclosed with 92 yards of fencing material is 1058 square yards.

Solving the equation for W, we get:

W = 92 - 2L

Substituting this value of W into the area equation, we have:

Area = L * (92 - 2L)

Area = 92L - 2L²

In our case, a = -2 and b = 92. Substituting these values, we get:

L = -92 / (2 * -2)

L = -92 / -4

L = 23

Substituting this value of L back into the equation for W, we have:

W = 92 - 2(23)

W = 92 - 46

W = 46

Therefore, the dimensions of the rectangular garden that maximize the enclosed area are L = 23 yards and W = 46 yards.

Area = L * W

Area = 23 * 46

Area = 1058 square yards

So, the maximum area that can be enclosed with 92 yards of fencing material is 1058 square yards.

Learn more about area on

https://brainly.com/question/25292087

#SPJ1

Answer:

should be 18 ft

Step-by-step explanation:

6÷4= 1.5

27÷1.5= 18

The estimated sample size needed for the new study to have a margin of error of 0.8 is 85.

In this case, the margin of error is 0.8.

To determine the required sample size, we can use the formula for sample size calculation for estimating a population proportion:

n = (z² x p x (1 - p)) / E²

E is the desired margin of error (0.8)

Substituting these values into the formula:

n = (1.96² x 0.11 x (1 - 0.11)) / 0.8²

n ≈ 84.6

Therefore, the estimated sample size needed for the new study to have a margin of error of 0.8 is 85.

Learn more about Margin Error here:

https://brainly.com/question/29419047

#SPJ1