It is almost certain that the Fisher LSD confidence interval and t-test confidence interval are slightly different. Why

For the polygon the individual value of the interior angles.

a) 15 sides is 145°

b) 20 sides is 108°

c) 3 sides is 60°

d) 4 sides is 90°

e) 100 sides is 18°

A regular polygon is one where all sides are the same length and all interior angles are the same. The number of sides of a regular polygon can affect the value of its interior angles.

a) 15 sides: The sum of the interior angles of a regular polygon with 15 sides is equal to 2180 degrees. To find the individual value of each angle, divide the sum by the number of sides. In this case,

=> 2180 / 15 = 145 degrees per angle.

b) 20 sides: The sum of the interior angles of a regular polygon with 20 sides is equal to 2160 degrees. To find the individual value of each angle, divide the sum by the number of sides. In this case,

=> 2160 / 20 = 108 degrees per angle.

c) 3 sides: The sum of the interior angles of a regular polygon with 3 sides is equal to 180 degrees. To find the individual value of each angle, divide the sum by the number of sides. In this case,

=> 180 / 3 = 60 degrees per angle.

d) 4 sides: The sum of the interior angles of a regular polygon with 4 sides is equal to 360 degrees. To find the individual value of each angle, divide the sum by the number of sides. In this case,

=> 360 / 4 = 90 degrees per angle.

e) 100 sides: The sum of the interior angles of a regular polygon with 100 sides is equal to 1800 degrees. To find the individual value of each angle, divide the sum by the number of sides. In this case,

=> 1800 / 100 = 18 degrees per angle.

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This type of validity is called concurrent validity.

Concurrent validity refers to the extent to which a new test measures the same construct as an established, well-validated test. In this scenario, the newly developed test is being compared to a traditional intelligence test that has already been shown to be valid, and the hypothesis is that there will be no significant differences between the results obtained from the two tests. By comparing the scores of the two groups, the researchers are attempting to determine whether the new test is measuring the same construct (intelligence) as the established test.

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The additional amount she needs to buy the new car is $18,027

From the question, we have the following parameters that can be used in our computation:

The cost of the new car = $25,025.

The worth of the car now =  $6998.

Using the above as a guide, we have the following:

The amount needed is the difference between the above costs

So, we have

Difference = 25,025 - 6998

Evaluate

Difference = 18027

Hence, she needs $18,027 to buy the new car

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Answer:

31.99, 34.23

Step-by-step explanation:

39.99 x .20=8 discount

39.99-8=31.99 tot price after discount

31.99x 1.07 (sales tax added)=34.23 total price with tax included.

Answer:

12% Increase of people from the previous year

Step-by-step explanation:

12,500 X P = 14,000

P = 14,000/12,500 = 1.12 = 112%

No, the maximum demand for bracelets will not be met if the store produces the optimal number of bracelets and necklaces. This is because the optimal solution is determined by the store’s profit, which is contingent on the cost of production and the demand for the product.

The optimal number of bracelets and necklaces produced is the point where the cost of production is minimized while the demand for the product is maximized. In this case, the optimal solution will not be enough to meet the maximum demand for bracelets.

If the store does not produce any bracelets, the resulting profit from the necklaces will depend on the demand for necklaces. If the demand is high enough, the store could make a higher profit from necklaces than if it were to produce bracelets.

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Answer:

D. Their addiction to nicotine.

Explanation:

Nicotine is a type of drug which makes it tough for smokers to stop smoking and this is what makes them attracted most. The more nicotine you inhale, the better you feel - giving pleasure. Nicotine is harmful for the body and increases possibility of heart attack.

Answer: (x+5)(x+2)^2

Step-by-step explanation: Expanding (x+5)(x+4)(x+4) gives:

(x+5)(x+4)(x+4) = x(x+4)(x+4) + 5(x+4)(x+4)

= x^2(x+4) + 4x(x+4) + 5x(x+4) + 20(x+4)

= x^3 + 4x^2 + 5x^2 + 20x + 16x^2 + 80x + 20x + 80

= x^3 + 9x^2 + 45x + 80

Fully simplifying this expression gives:

x^3 + 9x^2 + 45x + 80 = (x+5)(x^2+4x+16)

= (x+5)(x+2)^2

An argument in which the reasons support the conclusion so that the conclusion follows from the reasons offered is called a valid argument.

In logic and critical thinking, an argument consists of two main components, premises and a conclusion.

The premises are statements or reasons put forth as evidence or support for the conclusion.

The conclusion is the statement that is being asserted or inferred based on the premises.

A valid argument is one in which the logical relationship between the premises and the conclusion is such that if the premises are true.

Then the conclusion must also be true.

In other words, the conclusion logically follows from the premises.

When an argument is valid, it means that the truth or validity of the premises guarantees the truth or validity of the conclusion.

It does not necessarily mean that the premises are true in reality, but rather that if they were true, the conclusion would be true as well.

Here is an example to illustrate a valid argument,

Premise 1

All mammals are warm-blooded animals.

Premise 2

Dogs are mammals.

Conclusion,

Therefore, dogs are warm-blooded animals.

In this example, if we assume that the premises are true, the conclusion logically follows.

The truth of Premise 1 establishes that all mammals are warm-blooded, and Premise 2 identifies dogs as mammals.

This implies, the conclusion that dogs are warm-blooded animals logically follows from the given premises.

A valid argument can still have false premises or a false conclusion.

The validity of an argument simply relates to the logical relationship between the premises and the conclusion.

Rather than the truth or accuracy of the statements themselves.

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Answer:

40 degrees

Step-by-step explanation:

We need to find angle 3

Since angle 2 and angle 4 are vertical angles, they will be congruent

To solve for x we can make the following equation:

x+70=2x

x=70

In this problem angles 2 and 3 are supplementary (they add to 180)

Angle 2 is 140 degrees

We can now make the following equation to find angle 3 using measures addition postulate

let angle 3 be x

180-140=x

The 140 is angle 2

x=40

Answer:

Step-by-step explanation:

1. For there to be an infinite number of solutions, both sides of the equation need to have the same values.

  21x +14 = 21x +7a

That is, 7a must be 14. For a = 2, there are infinite solutions.

__

2. To find the value of b, we can substitute for a in the second equation using the value of a we find from the first equation:

  a = 6 -b . . . . . . . expression for a

  (6 -b) -b = 4 . . . . substituted into the second equation

  2 -2b = 0 . . . . . . subtract 4

  1 - b = 0 . . . . . . . divide by 2

  b = 1 . . . . . . . . . . add b

We want 2a +3b = 2(a+b) +b = 2(6) +1 = 13. The value of 2a +3b is 13.

Answer:  The compound interest formula is an equation that lets you estimate how much you will earn with your savings account.

Step-by-step explanation:

Answer:

  \(\textbf{A. }0.25^{3/2}\)

Step-by-step explanation:

Perhaps your answer choices are ...

  \(\textbf{A. }0.25^{3/2}\\\textbf{B. }(\sqrt[3]{4})^2\\\textbf{C.}\sqrt[3]{16}\\\textbf{D. }0.25^{-2/3}\)

Of these, the one that is not equivalent to 4^(2/3) is ...

  \(\boxed{\textbf{A. }0.25^{3/2}}\)

The value of this is ...

  \(\left(\dfrac{1}{4}\right)^{3/2}=\sqrt{\dfrac{1}{4^3}}=\dfrac{1}{8}\ne4^{2/3}=\sqrt[3]{16}=(\sqrt[3]{4})^2\)

Answer:

5/8 - 1/4 = 3/8

Step-by-step explanation:

1 x 2 = 2, 4 x 2 = 8, so we're left with 2/8

Answer:

3/8

Step-by-step explanation:

5/8 - 1/4

to be able to compare fractions or add/subtract them directly, we need to bring them all to the same denominator (the bottom part of the fractions).

it is usually easier to bring the smaller to a larger number than the other way around, because of the existing numerators (the top part of a fraction).

since we are dealing with fractions (divisions !), the best way to manipulate them is by multiplying or dividing them by a factor.

so, what do we need to multiply with 4 to get 8 (the other denominator) ?

2, as 4×2 = 8.

aha.

but now careful, we cannot just multiply the denominator by 2. that would change the value of the whole original fraction.

we have to multiply denominator AND numerator by the same factor. that way the original value of the fraction remains the same, because we are essentially multiplying the whole fraction just by 1.

so,

1/4 × 2/2 = 2/8

and now we can easily use it in a calculation with other 8ths :

5/8 - 2/8 = 3/8

a) Zeroes of function is,

x = 3/2

b) Zeroes of function is,

x = 0, 0

c) Zeroes of function is,

x = 2

x = - 3

Given that;

Functions are,

a) f(x) = 2x-3

(b) h(x) = x²

(c) g(x) = x² + x - 6​

Now, We can find all the zeroes as;

a) f(x) = 2x-3

Substitute f (x) = 0

2x - 3 = 0

2x = 3

x = 3/2

(b) h(x) = x²

Substitute h (x) = 0

x² = 0

x = 0, 0

(c) g(x) = x² + x - 6​

Substitute g (x) = 0

x² + x - 6 = 0

x² + 3x - 2x - 6 = 0

x (x + 3) - 2 (x + 3) = 0

(x - 2) (x + 3) = 0

x = 2

x = - 3

Thus, WE get;a) Zeroes of function is,

x = 3/2

b) Zeroes of function is,

x = 0, 0

c) Zeroes of function is,

x = 2

x = - 3

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Answer:

(xy - 4)(xy + 4)

Step-by-step explanation:

x²y² - 16 ← is a difference of squares and factors in general as

a² - b² = (a - b)(a + b), thus

x²y² - 16

= (xy)² - 4²

= (xy - 4)(xy + 4)

Answer:

(2, 0) and (6, 0)

Step-by-step explanation:

\(y = x^2 - 8 x + 12\)

To get the x intersept put y = 0

\(x^2 - 8 x + 12 = 0 \\\\x^2 - 6 x - 2 x + 12 = 0 \\\\x(x- 6) - 2(x - 6) = 0 \\\\(x - 2) (x - 6) = 0 \\\\x = 2 and x = 6\)

So, the intersepts are

(2, 0) and (6, 0)

Planets around other stars can be detected by carefully measuring the "brightness" or "light intensity" of stars.

When a planet orbits a star, it causes a slight change in the brightness or light intensity of the star. This is known as the transit method of planet detection. As the planet passes in front of the star from our line of sight, it blocks a small portion of the star's light, causing a temporary decrease in its brightness. By carefully measuring these changes in brightness over time, scientists can infer the presence and characteristics of planets orbiting the star. This method has been instrumental in the discovery of numerous exoplanets in recent years.

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The vertices of the feasible region are (0,0), (3,0), (1.5,2), and (0,2.5).

To find the vertices of the feasible region for the given constraints 4x+3y≤12, 2x+6y≤15, x≥0, y≥0, follow these steps:
1. Convert inequalities into equalities to find boundary lines:
  4x+3y = 12
  2x+6y = 15
  x = 0
  y = 0

2. Draw the lines on a coordinate plane:
  Plot the lines for 4x+3y = 12, 2x+6y = 15, x = 0, and y = 0.

3. Determine the feasible region by finding the area that satisfies all the constraints:
  Identify the region where 4x+3y≤12, 2x+6y≤15, x≥0, y≥0 are all true.

4. Find the vertices of the feasible region by identifying the points where the boundary lines intersect:
  The vertices are the points where the lines meet within the feasible region.

After following these steps, the vertices of the feasible region for the given constraints are (0,0), (3,0), (1.5,2), and (0,2.5).

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Vertices of the feasible region (0, 0), (0, -4/3), (-3, 1), and (-5/2, 0) under constraints

4x + 3y < -12

2x + 6y < -15

x > 0

y > 0

We can start by graphing the two inequalities on the same coordinate plane. To do this, we'll first graph the boundary lines:

4x + 3y = -12

2x + 6y = -15

To graph these lines, we can find their x- and y-intercepts:

4x + 3y = -12

4(0) + 3y = -12

y = -4

4x + 3y = -12

4x + 3(0) = -12

x = -3

So the line 4x + 3y = -12 passes through the points (0, -4) and (-3, 0).

2x + 6y = -15

2(0) + 6y = -15

y = -2.5

2x + 6y = -15

2x + 6(0) = -15

x = -7.5

So the line 2x + 6y = -15 passes through the points (-7.5, 0) and (0, -2.5).

Next, we'll shade in the regions that satisfy the inequalities:

4x + 3y < -12

This inequality represents the region below the line 4x + 3y = -12.

2x + 6y < -15

This inequality represents the region below the line 2x + 6y = -15.

x > 0

This inequality represents the region to the right of the y-axis.

y > 0

This inequality represents the region above the x-axis.

The vertices of the feasible region are the corners of the shaded area. From the graph, we can see that the vertices are:

(0, 0), (0, -4/3), (-3, 1), and (-5/2, 0)

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Shown & Given:

The dartboard holds 5 in the maximum space.

Known:

Out of 100, it is know that they will hit 5 more than 50 times.

Possible Answers:

55, 66, or 77.

The most likely one is:

66

Jeff places a pineapple with a mass of 890 grams on one side of a balanced scale. To balance the scale, he places 2 oranges, an apple, and a lemon on the other side.

In order to balance the scale, the total mass on each side must be equal. Since the pineapple has a mass of 890 grams, the sum of the masses of the 2 oranges, apple, and lemon on the other side must also be 890 grams.

Let's assume the masses of the oranges, apple, and lemon are x grams each. Therefore, the equation to balance the scale is: x + x + x + x = 890.

Simplifying the equation, we have: 4x = 890.

Dividing both sides by 4, we find that x = 222.5 grams.

So, each orange, the apple, and the lemon have a mass of 222.5 grams.

In this arrangement, the pineapple with a mass of 890 grams is balanced by 2 oranges, an apple, and a lemon, each weighing 222.5 grams, on the other side of the scale.

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Answer:

B. -2

Step-by-step explanation:

Answer:

\(\displaystyle \int^x_0\sin(3t^2)\,dt\approx x^3-\frac{27}{42}x^7\)

Step-by-step explanation:

Recall the MacLaurin series for sin(x)

\(\displaystyle \sin(x)=x-\frac{x^3}{3!}+\frac{x^5}{5!}-...\)

Substitute 3t²

\(\displaystyle \displaystyle \sin(3t^2)=3t^2-\frac{(3t^2)^3}{3!}+\frac{(3t^2)^5}{5!}-...=3t^2-\frac{3^3t^6}{3!}+\frac{3^5t^{10}}{5!}-...\)

Use FTC Part 1 to find degree 7 for F(x)

\(\displaystyle \int^x_0\sin(3t^2)\,dt\approx\frac{3x^3}{3}-\frac{3^3x^7}{7\cdot3!}\\\\\int^x_0\sin(3t^2)\,dt\approx x^3-\frac{27}{42}x^7\)

Hopefully you remember to integrate each term and see how you get the solution!

Answer:

Total = $10,248.69

Step-by-step explanation:

 $1,548.62

 $321.05

 $87.65

       $245.10

       $100.00

         $32.22

         $12.32

          $9.90

       $4,598.00

       $468.21

12 $100.00 $1,200.00

11 $50.00 $550.00

31 $20.00 $620.00

17 $10.00 $170.00

45 $5.00 $225.00

36 $1.00 $36.00

5 $1.00 $5.00

28 $0.50 $14.00

11 $0.25 $2.75

22 $0.10 $2.20

7 $0.05 $0.35

32 $0.01 $0.32

Total = $10,248.69

Set up a spreadsheet (attached).

We have inequality. So, we have to take a test point (0,0) and as the statement is true therefore Graph will shade towards the test point (0,0).

2(0)+3(0) ≤ 30 => 0≤ 30

An inequality in mathematics depicts the connection between two values in an algebraic statement that are not equal. One of the two variables on the two sides of the inequality may be greater than, greater than or equal to, less than, or less than or equal to another value, according to inequality signals.

A family of 3 children and 2 adults visited a health club. The club charges $y an hour for each child and $x an hour for each adult.

First we make inequality according to question.

In a family number of children 3

Charge for 1 child = $y per hour

Charge for 3 children = 3y

Charge for 1 Adult = $x per hour

Charge for 2 adults = 2x

If the family does not want to spend more than $30 an hour at health club.

2x+3y≤30

Where, x and y should be greater than 0.

x≥0 and y ≥0

Now we make the graph of this inequality.

First we take equality of equation and then find x and y table.

2x+3y=30

x        y

0        10

6        6

15      0

Here we have inequality. So, we have to take a test point (0,0)

2(0)+3(0) ≤ 30 => 0≤ 30

This statement is true. So, Graph will shade towards the test point (0,0)

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Answer:

∠J is 68

Step-by-step explanation:

Let x be ∠J and y be ∠L

x=3y+2

x=90-y

90-y=3y+2

4y=88

y=22

x=90-22

x=68

Okay, here we have this:

Considering the provided information, we are going to calculate the requested probability, so we obtain the following:

Let us remember that in a 6-sided dice, the numbers it contains are (1,2,3,4,5,6), and of those 3 are odd, then we are going to substitute in the following formula of the simple probability of an event :

Probability of an event=Favorable Cases/Possible Cases

Probability of tossing an odd number with 6 sided number cube =3/6

Probability of tossing an odd number with 6 sided number cube =1/2

Finally we obtain that the probability of tossing an odd number with 6 sided number cube is 1/2.

The annual rate of return on this motorcycle vending machine investment is 7.67%.

To determine the annual rate of return on a motorcycle vending machine that costs $187,400 and generates $2,832 in monthly cash flows for 84 months, follow these steps:

Calculate the total cash flows by multiplying the monthly cash flows by the number of months.

$2,832 x 84 = $237,888

Find the internal rate of return (IRR) of the investment.

$187,400 is the initial investment, and $237,888 is the total cash flows received over the 84 months.

Using the IRR function on a financial calculator or spreadsheet software, the annual rate of return is calculated as 7.67%.

Therefore, the annual rate of return on this motorcycle vending machine investment is 7.67%.

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The number of fliers that she has still not broadcasted will be 48 fliers.

Algebra is the study of ideational characters, while logic is the manipulation of all those opinions.

Linda had 90 fliers to post around town. Last week, she posted 1/5 of them. Then the number of fliers staying is given as,

⇒ (1 - 1/5) x 90

⇒ (4/5) x 90

⇒ 72 fliers

This week, she posted 1/3 of the remaining fliers. Then the number of fliers that she has still not broadcasted is given as,

⇒ (1 - 1/3) x 72

⇒ (2/3) x 72

⇒ 48 fliers

The number of fliers that she has still not broadcasted will be 48 fliers.

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EXPLANATION

Since we have that the cost per linear foot is $110, and by applying the Pytagorean Theorem, we can get the value of the new street as shown as follows:

Where shorter leg = 6 , larger leg = 9 and Hypotenuse = New Street

Substituting terms:

Applying the square root to both sides:

Simplifying:

Representing the length in ft units:

Finally, the cost per linear foot will be:

The cost of the street will be of $6,284,256