A pedagogical research institute wanted to test a new method for teaching geometry by assessing whether It helps students achieve higher grades. They decided to conduct a study using A volunteering high school with a total of 750 students At the beginning of the semester, 2 out of the 4 high schools were randomly picked to use the new teaching method, while the remaining 2 schools kept teaching with traditional methods. The first pair had a total of 400 students, and the second pair had a total of 350 students. By the end of the semester, the researchers compared the average scores in the geometry section of the final exam for each pair of schools. What type of statistical study did the researchers use

1a. The percentage total return is -19.56%

1b. The dividend yield is 2.42%.

1c. The capital gains yield is -21.98%.

2a. The arithmetic average annual return on large-company stocks in nominal terms is 14.5%.

2b. The arithmetic average annual return on large-company stocks in real terms is 9.67%.

3a. The real return on long-term government bonds is 3.195%

3b. The real return on long-term corporate bonds is 3.291%

In Financial accounting, the percentage total return (P) can be calculated by using this formula;

P = [(Ending price - Initial price) + Dividend] ÷ Initial price

P = [(71 - 91) + 2.20] ÷ 91

P = -0.1956 or -19.56%

1b. For the dividend yield, we have:

Dividend yield = Dividend ÷ Initial price

Dividend yield = 2.20 ÷ 91

Dividend yield = 0.0242 or 2.42%

1c. For capital gains yield, we have:

Capital gains yield = (Ending price - Initial price) ÷ Initial price

Capital gains yield = (71 - 91) ÷ 91

Capital gains yield = -0.2198 or -21.98%.

Part 2.

a. The arithmetic average of annual return on large-company stocks in nominal terms is equal to 14.5%.

b. For arithmetic average annual return in real terms, we have:

(1 + 0.145) = (1 + r)(1 + 0.044)

r = (1.145/1.044) - 1

r = 9.67%

Part 3.

a. For real return on the long-term government bonds, we would apply Fisher equation:

(1 + i) = (1 + r)(1 + h)

Where:

(1 + 0.066) = (1 + r)(1 + 0.033)

1 + r = 1.066/1.033

r = 3.195%

b. For real return on long-term corporate bonds:

(1 + 0.067) = (1 + r)(1 + 0.033)

1 + r = 1.067/1.033

r = 3.291%

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Answer:

Answer: A) 15

A natural number is basically a counting number {1, 2, 3, 4, 5, ...} so any positive whole number. That is why 15 is the answer. Choices B and D are fractional values, so we can rule them out. We can rule out choice C because this value is negative.

Step-by-step explanation:

We will assume that the total of the trip is paid with the credit card. Recall that the amount after t years, when the rate is compounded continously would be

where P is the principal, r is the rate and t is the amount of years.

In this case, we have r=38.99%, t =1 and P=5500. So we have that the amount of debt after one year would be

so after one year, the debt would be 8122.58

The number of inches Sami is taller to his younger sister as per their respective given heights is equal to 9 inches.

Height of Sami in feet and inches is equal to 5 feet 8 inches

Height of Sami's younger sister is equal to 4 feet 11 inches

Convert all height into inches we get,

1 feet = 12inches

5 feet = 5 × 12 inches

          = 60 inches

4 feet = 4 × 12 inches

          = 48 inches

Number of inches Sami's is taller than his younger sister is equal to

= ( 5 feet 8 inches ) - ( 4 feet 11 inches )

= ( 60 + 8 ) inches - ( 48 + 11 ) inches

= 68 inches - 59 inches

= 9 inches

Therefore, the number of inches Sami is taller than his younger sister is equal to 9 inches.

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Answer:

2

Step-by-step explanation:

The problem states that people bought different amounts of tickets, which means that they don’t have the same probability of winning. This eliminates options 1 and 4.
This leaves us with 2 options. Because probability always has to add up to 1, number 3 doesn’t work leaving us with Option 2.

Answer: the answer is B

got it correct on edge

Step-by-step explanation:

answer:

\(15 + 7 \times = - 41 \\ 7 \times = - 41 - 15 \\ 7 \times = - 56 \\ \times = - 8\)

Answer:

Step-by-step explanation:

I believe you need to just combine like terms:

5 + 7x +10 = -41

Try to get the 7x alone:

7x + 15= -41

To get 7x alone completely have it alone on the side move the 15 to the other side of the =.

7x +15 = -41

    -15     -15

you'll get

7x= -55

then you need to get x all alone so divide the 7from both sides

7x=-55

/7    /7

Your solution will be:

x=-7.857 round to whichever place you need

Answer:

i think that to many but the answer is 5

Step-by-step explanation:

qwerty

Answer:

K′(−4, 8)

Step-by-step explanation:

Polygon JKLM is drawn with vertices J(−4, −4), K(−4, −6), L(−1, −6), M(−1, −4). Determine the image coordinates of K′ if the preimage is reflected across y = −7.

K′(−4, −4)

K′(−4, −5)

K′(−4, 6)

K′(−4, −8)

The total area of the composite figure which has triangle and rectangle is  24.41 square inches

The given composite figure has two triangles and one rectangle

Area of rectangle =length × width

=4.6×3.15

=14.49 square inches

Area of left side triangle, it has base of 3.3 in and height 3.15 inches

Area of triangle = 1/2×3.3×3.15

=5.1975 square inches

Area of triangle on right side

Base = 3 in

Height = 6.3-3.15=3.15 in

Area of triangle = 1/2×3×3.15

=4.725 square inches

Total area = 14.49 + 5.1975  + 4.725

=24.41 square inches

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Answer:

Step-by-step explanation:

Answer:need help with what question?

Step-by-step explanation: what question?

20%. percent

Im just trying its 20 percent

Answer:

2,082 computers were made

Step-by-step explanation:

Take the total amount of units that were installed (8,328) and divide by how many makes one computer (4) to get the amount of computers made (2,082)

Answer:

angle 2

Step-by-step explanation:

they aren't equal.

Angle 3 is not equal to angle 2.

Properties of Parallel Lines Cut by a Transversal

For the parallel lines cut by a transversal, the following properties hold true:

As,

angle 3 = angle 1    (Corresponding angle)

angle  3 = angle 6  ( alternate interior angle)

angle 3= angle 8  (vertically opposite angle)

But there is no relation between angle 3 and angle 2.

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Answer:

D

Step-by-step explanation:

A and D are both equidistant from the x- axis, that is

A is 3 units above the x- axis and D is 3 units below the x- axis

then the x- axis is the line of symmetry

Answer:

Step-by-step explanation:

by finding unit price and multiply

u wouldn't timea by 4

Answer:

E. 1/3

Step-by-step explanation:

In this sequence, the numbers are descending and are 1/3 of the previous number.

243 / 3 = 81

81 / 3 = 27

9 / 3 = 3

3 / 3 = 1

1 / 3 = 1 / 3 (the next term)

The absolute value of the elevation difference between the valley and sea level is 94 feet.

The absolute value of a number is the distance of that number from zero on the number line. It represents the magnitude or size of a quantity without considering its direction. In the given scenario, we are dealing with the elevation difference between a valley and sea level.

The valley is described as being 94 feet below sea level. To find the absolute value of the elevation difference, we need to ignore the negative sign and consider the magnitude of the difference.

In this case, since the valley is below sea level, the elevation difference is negative. However, when we take the absolute value, we disregard the negative sign and focus solely on the numerical value of the difference.

By applying the absolute value to the elevation difference of -94 feet, we remove the negative sign and consider only the magnitude. Thus, the absolute value of -94 is simply 94.

Therefore, the absolute value of the elevation difference between the valley and sea level is 94 feet. It indicates that the valley is 94 feet away from sea level in terms of elevation, regardless of the direction (above or below sea level). The absolute value provides a measure of the magnitude of the difference while disregarding the direction or sign associated with it.

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The equation z = 30x represents a direct variation the two variables, z and x, are directly proportional to each other. a.

Direct variation can be defined as a relationship between two variables where their values increase or decrease at the same rate.

In the case of the given equation, as x increases, z also increases proportionally.

Similarly, if x decreases, z will also decrease proportionally.

Direct variation can be represented as y = kx, where y and x are the variables, and k is the constant of variation.

In the given equation, we can see that z is the dependent variable, and x is the independent variable.

We can rewrite the equation as z = kx, where k = 30.

To understand how direct variation works, let's consider an example. Suppose we have an equation y = 5x, where y represents the cost of buying x apples at $5 per apple.

Here, the cost of buying apples is directly proportional to the number of apples purchased.

For instance, if we buy 10 apples, the total cost will be 10 × $5 = $50.

Similarly, if we buy 20 apples, the total cost will be 20 × $5 = $100.

Thus, we can see that the cost increases as the number of apples purchased increases, and vice versa.

The given equation z = 30x represents a direct variation is a type of relationship between two variables where their values increase or decrease proportionally.

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Estimated volume of the tree as per given height and circumference using trapezoidal rule is equal to 30907.5 cubic inches.

As given in the question,

Given height 'x' and circumference 'y=f(x)',

Height (inches)  'x'            :       0    15     30    45      60      75      90

Circumference (inches) 'y=f(x)':      31   28    21    17      12      8        2

Trapezoidal rule :

Δx = (b - a ) n

Here b = 90

a = 0

n =6

Δx = ( 90 - 0)/6

    = 15

Substitute the value to get the volume using trapezoidal rule:

T₆=(Δx/2)[f(x₀)²+ 2{f(x₁)²+ f(x₂)²+f(x₃)² + f(x₄)²+f(x₅)²}+ f(x₅)²]

   = (15/2)[ 31² + 2 (28² + 21² + 17² + 8²) + 2² ]

   = ( 15/2) [961 + 2{ 784+ 441 + 289 + 64} + 4]

   = 15 × 2060.5

   =   30907.5 cubic inches

Therefore, the volume of the tree as per given given table using trapezoidal rule is equal to 30907.5 cubic inches.

The above question is incomplete , the complete question is:

The circumference of a tree at different heights above the ground is given in the table below. Assume that all horizontal cross-sections of the tree are circles. Estimate the volume of the tree using the trapezoid rule. There needs to be six subdivisions in the trapezoid rule.

Height (inches) :                  0    15     30    45      60      75      90

Circumference (inches):      31   28    21    17      12      8        2

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Answer:

21=2w+2w+3    18=4w     w=4.5

Answer:

The numbers are 6 and 7.

Step-by-step explanation:

4² = 16

5² = 25

6² = 36

7² = 49

√36 = 6

√42 = ?

√49 = 7

The numbers are 6 and 7.

Answer:

The mode of a data set is the number that occurs most frequently in the set. To easily find the mode, put the numbers in order from least to greatest and count how many times each number occurs. The number that occurs the most is the mode!

Step-by-step explanation:

internet.

Step-by-step explanation:

<QPR = <RST(given)

<PRQ = <TRS(vertically opposite angles)

<PQR = < STR (remaining angles)

triangles PQR~TRS (by A.A.A. axiom)

now

PR/RS = PQ/ST=QR/RT (corresponding sides of similar triangles are proportional)

or, 15/6=PQ/(2x-4)=x/RT

or, 15/6 = = PQ.RT=x.(2x-4)

or,, 15/6 = 2x²-4x

or, 15= 12x²-24x

or, 12x²-24x-15 = 0

or, 12x²-(30-6)x-15=0

or, 12x²-30x+6x-15=0

or, 2x(6x-15)+1(6x-15)=0

or, (6x-15)(2x+1)=0

Either,

6x-15 = 0

or, 6x = 15

so, x = 15/6

so, x = 2.5

or,

2x+1=0

2x=-1

or, x = -1/2

Value of x is either 2.5 or -1/2

Answer: Answer C

Step-by-step explanation:

Because it is a reflection of the Y-axis, the X-coordinates would remain the same but the Y-coordinates would change.