a stand at the farmer's market sells different types of apples as shown in
the table. Which type of apple costs the least per pound?

The circled portion in the confidence interval formula p ± z represents the Margin of Error, which plays a crucial role in interpreting the range of plausible values for the population parameter.

In the confidence interval formula p ± z, the circled portion represents the Margin of Error.

The Margin of Error is a critical component of a confidence interval and quantifies the level of uncertainty in the estimate.

It indicates the range within which the true population parameter is likely to fall based on the sample data.

The Margin of Error is calculated by multiplying the critical value (z) by the standard deviation of the sampling distribution.

The critical value is determined based on the desired level of confidence, often denoted as (1 - α), where α is the significance level or the probability of making a Type I error.

The Margin of Error accounts for the variability in the sample and provides a measure of the precision of the estimate.

It reflects the trade-off between the desired level of confidence and the width of the interval.

A larger Margin of Error indicates a wider confidence interval, implying less precision and more uncertainty in the estimate.

Conversely, a smaller Margin of Error leads to a narrower confidence interval, indicating higher precision and greater certainty in the estimate.

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Answer: We will start by using the identity cos² A + sin² A = 1 to replace sin² A with cos² A - 1 in the expression 1 - 2sin A sin B sin C:

1 - 2sin A sin B sin C = 1 - 2sin A (cos B cos C - sin B sin C) [Using the product-to-sum formula for sin (B + C)]

= 1 - 2sin A cos B cos C + 2sin A sin B sin C

Now, we will use the identity cos (180° - x) = -cos x to replace cos C with -cos (A + B):

cos² A + cos² B - cos² C = cos² A + cos² B - cos² (A + B)

= cos² A + cos² B - (cos² A cos² B - 2cos A cos B sin A sin B)

= cos² A + cos² B - cos² A cos² B + 2cos A cos B sin A sin B

= (cos² A)(1 - cos² B) + (cos² B)(1 - cos² A) + 2cos A cos B sin A sin B

= cos² A + cos² B - cos² A cos² B + 2cos A cos B sin A sin B

Now, we will use the identity sin (A + B) = sin A cos B + cos A sin B to rewrite the last term:

cos² A + cos² B - cos² A cos² B + 2cos A cos B sin A sin B

= cos² A + cos² B - cos² A cos² B + 2sin A sin B cos A cos B

= (cos² A)(1 - cos² B) + (cos² B)(1 - cos² A) + 2sin A sin B cos A cos B

= (cos² A + cos² B - 1) + (1 - cos² A)(1 - cos² B) + 2sin A sin B cos A cos B

= 2sin² A sin² B + 2sin A sin B cos A cos B

= 2sin A sin B (sin A cos B + cos A sin B)

= 2sin A sin B sin (A + B)

= 2sin A sin B sin (180° - C) [Using A + B + C = 180°]

= -2sin A sin B sin C

Substituting this expression back into the original equation, we get:

cos² A + cos² B - cos² C = 1 - 2sin A sin B sin C

Therefore, the expression is proved.

Step-by-step explanation:

Answer:

180

Step-by-step explanation:

Answer:

Step-by-step explanation:

1.25/.8=a

\(\frac{5}{4} /\frac{4}{5}\)

1.25/4/5

Answer: $120

Step-by-step explanation:Quick maths.

X/5 -1/2 = x/6

Find the least common denominator of the 3 denominators:5,2,6

The limited is 30

Multiply all 3 fractions by 30:

6x -15 = 5x

Subtract 6x from both sides:

-15 = -x

Multiply both sides by -1:

X = 15

The best way to fold the side x to minimize y is by drawing a line of symmetry from the right angle to the side y thereby dividing y into 2.

A line of symmetry is a line that divides a shape into similar shapes that are symmentrical. In the figure find the mid-point of y, then take the side x to divide y into to symmetrical parts. also, take the remaining part of x to the full length of the object.

That is to say: 13" x 10"  = 130 " /2  to give 60"  let the area of the figure be reduced to 60 inches by reducing each length by 2

In conclusion, reduce each of the length by 2 to get the best folding.

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Based on the information, we can infer that the salary a worker earns depends on the hourly wage they earn. In this case we will have to multiply the value of each hour by the number of hours worked. Additionally, I would agree to have a higher minimum wage to benefit workers.

Based on the information in the graph, we can infer that workers will have wages of $5.2, $6.0, and $6.6. According to the above, the salary varies depending on the number of hours.

On the other hand, I believe that you would agree to a salary increase because this would benefit workers who would be better paid for each hour of work.

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The variance of Billy's grades obtained from his test scores is 15.76

The variance is a measure of variability or spread a dataset. The variance can be calculated from the sum of the square of the differences of the data points from the mean divided by the number or count of the data points.

The variance of Billy's test scores can be calculated by finding the mean or the average of the scores, then finding the sum of the squares of the differences of each score from the mean as follows;

The mean score = (89 + 88 + 93 + 90 + 81)/5 = 88.2

The square of the differences of the values from the mean can be calculated as follows;

(89 - 88.2)² = 0.64, (88 - 88.2)² = 0.04, (93 - 88.2)² = 23.04, (90 - 88.2)² = 3.24, and (81 - 88.2)² = 51.84

The sum of the square of the differences is therefore;

0.64 + 0.04 + 23.04 + 3.24 + 51.84 = 78.8

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There are no two Real numbers that add up to -2 and multiply to 10.

The numbers that add up to -2 and multiply to 10, we can use algebraic methods. Let's denote the two numbers as x and y. Based on the given conditions, we can set up two equations:

Equation 1: x + y = -2

Equation 2: x * y = 10

To solve this system of equations, we can use substitution or elimination methods. Let's solve it using the substitution method:

1. Solve Equation 1 for x:

  x = -2 - y

2. Substitute the value of x in Equation 2:

  (-2 - y) * y = 10

3. Simplify the equation:

  -2y - y^2 = 10

4. Rearrange the equation to standard form:

  y^2 + 2y + 10 = 0

5. Since the equation is a quadratic equation, we can apply the quadratic formula:

  y = (-b ± √(b^2 - 4ac)) / (2a)

  In this case, a = 1, b = 2, and c = 10.

6. Calculate the discriminant: b^2 - 4ac:

  2^2 - 4(1)(10) = 4 - 40 = -36

7. Since the discriminant is negative, the quadratic equation does not have real solutions. Therefore, there are no real numbers that satisfy both conditions of adding up to -2 and multiplying to 10.

In conclusion, there are no two real numbers that add up to -2 and multiply to 10.

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Based on the net present value profile, Project H has a higher NPV than Project E.

To compare the net present value (NPV) of Project E and Project H, we need to calculate the present value of cash flows for each project and determine which one has a higher NPV. The cash flow patterns for the two projects are as follows:

Project E:

Initial investment: -$100,000

Cash flows for Year 1: $40,000

Cash flows for Year 2: $50,000

Cash flows for Year 3: $60,000

Project H:

Initial investment: -$120,000

Cash flows for Year 1: $60,000

Cash flows for Year 2: $50,000

Cash flows for Year 3: $40,000

To calculate the present value of cash flows, we need to discount them using an appropriate discount rate. The discount rate represents the required rate of return or the cost of capital for the company. Let's assume a discount rate of 10%.

Using the formula method, we can calculate the present value (PV) of each cash flow and sum them up to obtain the NPV for each project:

For Project E:

PV = $40,000/(1 + 0.10)^1 + $50,000/(1 + 0.10)^2 + $60,000/(1 + 0.10)^3

PV = $36,363.64 + $41,322.31 + $45,454.55

PV = $123,140.50

For Project H:

PV = $60,000/(1 + 0.10)^1 + $50,000/(1 + 0.10)^2 + $40,000/(1 + 0.10)^3

PV = $54,545.45 + $41,322.31 + $30,251.14

PV = $126,118.90

Using the financial calculator method, we can input the cash flows and the discount rate to calculate the NPV directly. By entering the cash flows for each project and the discount rate of 10%, we find that the NPV for Project E is approximately $123,140.50 and the NPV for Project H is approximately $126,118.90.

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Answer:

36.3636364%

or 36.36

Step-by-step explanation:

Answer:

Option 2: \(f^{(-1)}(x) = -\frac{3}{4x}\) is the correct answer.

Step-by-step explanation:

Given function is:

\(f(x) = -\frac{3}{4x}\)

There are few steps to find inverse of a function. We will apply them one by one onto the function

Step 1: Replacing f(x) with y

\(y = -\frac{3}{4x}\)

Step 2: Replacing y with x and x with y

\(x = -\frac{3}{4y}\)

Step 3: Solving the equation in step 2 for y

\(x = -\frac{3}{4y}\\y = -\frac{3}{4x}\)

Step 4: Replacing y with inverse of f

\(f^{(-1)}(x) = -\frac{3}{4x}\)

Hence,

Option 2: \(f^{(-1)}(x) = -\frac{3}{4x}\) is the correct answer.

Answer:

1/4 in fraction form, and 0.25 in decimal form.

Step-by-step explanation:

Answer:

Count them?

Step-by-step explanation:

Answer:

The scale factor is 2

Step-by-step explanation:

After the transformation point A will be at (5, 6.586), point B will be at (5.121, 7.121) and point C will be at (6.121, 5.121).

The coordinates of a triangle after rotation and translation can be found using the following steps:

       x' = (x - a) * cos(θ) - (y - b) * sin(θ) + a

       y' = (x - a) * sin(θ) + (y - b) * cos(θ) + b

        x' = x + dx

        y' = y + dy

       x' = (1 - 2) * cos(45) - (3 - 4) * sin(45) + 2 = -1.121 + 1.121 + 2 = 2.000

       y' = (1 - 2) * sin(45) + (3 - 4) * cos(45) + 4 = -0.707 - 0.707 + 4 = 2.586

      x' = 2 + 3 = 5

      y' = 2.586 + 4 = 6.586

     similarly for point B(2,5) will be (5.121,7.121)

     and for point C(3,3) will be (6.121,5.121)

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Answer: A cylindric section is the intersection of a plane with a right circular cylinder.

If we cut a cylinder perpendicularly to its base, the figure formed is a rectangle with a length equal to the height of the cylinder and a length equal to its diameter.

Answer:

The Energizer Pack

Step-by-step explanation:

To figure this out I would divide to find the price per thing then compare.

So 2.97 divided by 4 is 0.7425. We'll round that later if we have to.

12. 39 divided by 10 is 1.239

Now we compare. Which is cheaper, or less - 0.74 or 1.24?

0.74 is less, so that means the Energizer pack is the better buy since it's cheaper.

Please mark brainliest if possible and i hope you get a good grade on youe homework! :)

Answer:

Step-by-step explanation:

We know that:

Solution:

Looking at the cost per battery pack, we can say that 4 packs of Energizer is a better buy because its cost per pack is lower than the cost of 10 packs of Duracell batteries.

Hoped this helped!

Answer:

A

Step-by-step explanation:

6x3x3 equals 54 which is also the total surface area of the rectangle.

Answer:

Answer choice = A. 6 x 3 x 3

Let f(x) = lnx and g(x) = log₂x. for all 0 < x < 1, f(x) < g(x): True.

In this scenario and exercise, we would determine the corresponding output value for the functions f(x) and g(x) under the given mathematical operation and independent variables.

When x = 1, the output value for f(x) based on the table of values is given by;

f(x) = lnx

f(1) = ln(1).

f(1) = 0.

When x = 2, the output value for f(x) based on the table of values is given by;

f(x) = lnx

f(2) = ln(2).

f(2) = 0.69314718

When x = 1, the output value for g(x) based on the table of values is given by;

g(x) = log₂x

g(1) = log₂(1)

g(1) = 0.

When x = 2, the output value for g(x) based on the table of values is given by;

g(x) = log₂x

g(2) = log₂(2)

g(2) = 1.

In this context, we can logically deduce that the function f(x) is less than function g(x) for all 0 < x < 1.

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Answer:

(x - 4)^2 + (y - 6)^2 = 100

Answer:

A

Step-by-step explanation:

conjugate means we flip the sign between the two terms.

the two terms here are 5 and √(x+4), with a minus sign in between. we flip the minus sign to a plus sign to find the conjugate.

A fits this

The set of numbers that could not represent the sides of a right triangle is

To check if a set of numbers can represent the sides of a right triangle, we can use the Pythagorean theorem, which states that for a right triangle, the sum of the squares of the two shorter sides is equal to the square of the longest side (the hypotenuse).

We can start by checking the first set of numbers:

{40, 52, 65}

= 40² + 52²

= 1600 + 2704

= 4304, and 65² = 4225.

Since 4304 is not equal to 4225, this set of numbers could not represent the sides of a right triangle.

Next, we can check the second set of numbers:

{14, 48, 50}

= 14² + 48²

= 196 + 2304

= 2500, and 50² = 2500.

Since 2500 is equal to 2500, this set of numbers could represent the sides of a right triangle.

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Answer:

{40, 52, 65}

Step-by-step explanation:

A Pythagorean Triple is set of 3 positive integers, {a, b, c}, that satisfy the formula of the Pythagoras' Theorem, a² + b² = c².

A Pythagorean Triple always consists of all even numbers, or two odd numbers and an even number.

We can immediately see that {40, 52, 65} is not a Pythagorean Triple since a and b are both even, but c is odd.

Answer:

7/20

Step-by-step explanation:

your equation

4

the solution

  2

2

evaluate

4