. A social psychologist who is designing a study to see whether people who see a particular film are more likely to use violence as a solution to a problem plans to use a scale that assesses this construct and has a population mean of 78 with a standard deviation of 14. The psychologist expects an increase of 8 points above the population mean the predicted mean of the research population is 86). Which of the following is closest to the expected effect size? A)-1 B) - 5 C) 0
D) 5 E) 1

The cash price of the bond is $10,898.92.The accrued interest is $315.32.

The cash price of the bond, we need to determine the present value of the bond's future cash flows. The bond has a face value (redeemable at par) of $22,000 and a coupon rate of 5.3%. Since the interest is payable semi-annually, each coupon payment would be half of 5.3%, or 2.65% of the face value. The bond matures on May 12, 2008, and the purchase date is June 07, 2001, which gives a total of 28 semi-annual periods.

Using the formula for present value of an annuity, we can calculate the present value of the coupon payments. The yield is 9.8% compounded semi-annually, so the semi-annual discount rate is half of 9.8%, or 4.9%. Plugging in the values into the formula, we get:

Coupon payment = $22,000 * 2.65% = $583

Present value of coupon payments = $583 * [(1 - (1 + 4.9%)^(-28)) / 4.9%] = $10,315.32

To calculate the present value of the face value, we need to discount it to the present using the same discount rate. Plugging in the values, we get:

Present value of face value = $22,000 / (1 + 4.9%)^28 = $5883.60

Finally, we add the present value of the coupon payments and the present value of the face value to obtain the cash price of the bond:

Cash price = Present value of coupon payments + Present value of face value = $10,315.32 + $5,883.60 = $10,898.92.

Accrued interest refers to the interest that has accumulated on the bond since the last interest payment date. In this case, the last interest payment date was on June 7, 2001, and the purchase date is also June 7, 2001, so no interest has accrued yet.

The accrued interest can be calculated by multiplying the coupon payment by the fraction of the semi-annual period that has elapsed since the last interest payment. Since no time has passed between the last interest payment and the purchase date, the fraction is 0. Thus, the accrued interest is $583 * 0 = $0.

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The expression for the area under the graph of f(x) over the interval [2, 4] is given by the limit as n approaches infinity of the Riemann sum: A = lim(n→∞) Σ[f(xi)Δx].

To express the area under the graph of f(x) as a limit, we divide the interval [2, 4] into n subintervals of equal width Δx = (4 - 2)/n = 2/n.

Let xi be the right endpoint of each subinterval, with i ranging from 1 to n. The area of each rectangle is given by f(xi)Δx.

By summing the areas of all the rectangles, we obtain the Riemann sum: A = Σ[f(xi)Δx], where the summation is taken from i = 1 to n.

To find the expression for the area under the graph of f(x) as a limit, we let n approach infinity, making the width of the rectangles infinitely small.

This leads to the definite integral: A = ∫[2, 4] f(x) dx.

In this case, the expression for the area under the graph of f(x) over the interval [2, 4] is given by the limit as n approaches infinity of the Riemann sum: A = lim(n→∞) Σ[f(xi)Δx].

Evaluating this limit would yield the actual value of the area under the curve.

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Answer:

23x+1........ .... .........

The value of y when x=12 is 600

The values of y vary directly with x

y α x

y = kx

where k is the proportationality constant

The values of y=425 when x=8.5

y = kx

425 = k (8.5)

k = 50

We need to find the value of y when x=12

y = kx

y = 50 x 12

y = 600

Therefore,  the value of y when x=12 is 600

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Answer:

D

Step-by-step explanation:

8 3/5 is a number greater than 8 but minor than 9

Answer:-9.9   -7 7.9 9.7

Step-by-step explanation:

Answer:

x = 0

Step-by-step explanation:

It would cost €27 to buy a sheet of area 4 meters by 75 centimeters.

We solve this problem easily by employing the unitary method. To answer this question, we need to first calculate the area of the metal sheet being sold and the area of the metal sheet being purchased.

The area of the metal sheet being sold is:

5 meters × 2 meters = 10 square meters

The area of the metal sheet being purchased is:

4 meters × 0.75 meters = 3 square meters

Now we can calculate the price per square meter of the metal sheet being sold:

€90 ÷ 10 square meters = €9 per square meter

Finally, we can calculate the cost of the metal sheet being purchased:

3 square meters × €9 per square meter = €27. Therefore, the cost to buy a sheet of area 4 meters by 75 centimeters which costs €90 to a metal of area 5 meters by 2 meters would be €27.

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we have the function

Part A

For t=0

substitute

Part B

For t=5 years -------> Convert to months

t=60 months

substitute

Part C

Determine horizontal asymptote

The horizontal asymptote is given by the ratio of

P(t)=2,400 ---------> horizontal asymptote

that means

as the value of time t increases ------> the value of the population tends to 2,400 insects

the population cannot be greater than 2400 insects

The range for the function P(t) is the interval [20, 2400)

All real numbers greater than or equal to 20 insects and less than 2400 insects

Part D

Using a graphing tool

The angle pairs by parallel lines cut by a transversal are corresponding angles, interior/exterior angles etc.

Many angle pairs are created when a transversal crosses a pair of parallel lines. They consist of the following:

Corresponding angles: The positions on either side of the transversal and on the opposing sides of the parallel lines are referred to as corresponding angles. If the parallel lines are sliced by the transversal, then the corresponding angles are congruent and have the same measure.

Interior angles: These are a pair of angles that are inside parallel lines and on the opposing sides of the transversal. If the transversal cuts the parallel lines, alternate inner angles are equivalent.

External angles: These are a pair of angles that are outside the parallel lines and on the opposing sides of the transversal. If the transversal cuts the parallel lines, then alternate exterior angles are congruent.

Vertical angles: These are opposite-to-each pairs of angles created by the junction of two lines. By definition, these are the angles that are congruent, which means having the same measure.

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The point of intersection between the line and the circle in the first quadrant is (6, 12).

To find the point of intersection between the line \(y = 1.5x + 3\) and the circle with radius 6 and center (0, 3), we can substitute the equation of the line into the equation of the circle and solve for the x-coordinate(s) of the intersection point(s).

The equation of the circle is given by:

\((x - h)^2 + (y - k)^2 = r^2\)

Substituting the values of the center (0, 3) and radius 6, we have:

\(x^2 + (y - 3)^2 = 6^2\)

Expanding and rearranging the equation, we get:

\(x^2 + y^2 - 6y + 9 = 36\)

\(x^2 + y^2 - 6y - 27 = 0\)

Substituting the equation of the line \(y = 1.5x + 3\) into this equation, we have:

\(x^2 + (1.5x + 3)^2 - 6(1.5x + 3) - 27 = 0\)

Expanding and simplifying, we get:

\(x^2 + 2.25x^2 + 9x + 9 - 9x - 18 - 27 = 0\)

Combining like terms, we have:

\(3.25x^2 - 36 = 0\)

To solve this quadratic equation, we can factor it:

\(3.25(x - 6)(x + 6) = 0\)

Setting each factor equal to zero, we find two possible values for x:

\(x - 6 = 0\) or \(x + 6 = 0\)

\(x = 6\) or \(x = -6\)

Since we are interested in the point in the first quadrant, we take \(x = 6\). Substituting this value into the equation of the line \(y = 1.5x + 3\), we can find the corresponding y-coordinate:

\(y = 1.5(6) + 3\)

\(y = 9 + 3\)

\(y = 12\)

Therefore, the point of intersection between the line and the circle in the first quadrant is (6, 12).

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Given that,

-12x² - 50x - 50​

=> 2 (-6x^2 - 25x - 25)

=> -2 (6x^2 + 25x + 25)

=> -2 (6x^2 + 15x + 10x + 25 )

=> -2 [ 3x (2x + 5) + 5 (2x + 5)]

=> -2 [(2x + 5) (3x + 5)]

Explanation:

The probability that a variable has a z-score less than a number - let's call this number 'a'- is represented on a z-score table. Each number in the table represents the area under the curve on to the left of 'a':

In other words, the numbers in the table are the probability of the variable being less than a:

If we multiply by 100 we have the probability expressed as a percent: 66.28%.

Answer:

Rounded to the nearest percent, P( Z < 0.42) = 66%

Answer:

Step-by-step explanation:

51.1

Answer:

Step-by-step explanation:

answer: 51.1

The values for a and b in the expression for the area of the rhombus, a·√b, where the area of the regular hexagon that forms the rhombus that has an area of 24·√3, are; a = 8, b = 3

a + b = 8 + 3 = 11

A rhombus is a quadrilateral in which the length of the each of the four sides are the same.

Coprime integers integers are two integers that have 1 as their only common divisor

The area of the hexagons = 24·√3

The formula for the area of regular  hexagon, A = 3·√3×s²/2

Where;

s = The sider length of the regular hexagon

Therefore; 24·√3 = 3·√3×s²/2

The division property indicates that dividing booth sides of the above equation by √3, we get;

24 = 3×s²/2

2 × 24/3 = s²

16 = s²

s² = 16 (symmetric property)

s = ±√(16) = ±4

The possible value for the side length of the regular hexagon is +4

The formula for the area of a rhombus = s²·sin(θ)

Where;

θ = The interior angle of a regular hexagon = 120°

Therefore; A = 4² × sin(120°) = (16 × √3)/2 = 8·√3

Therefore; a·√b = 8·√3

a = 8, b = 3

a + b = 8 + 3 = 11

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Answer:

the last one (-14)+(-8)

Step-by-step explanation:

-14 - -8 any time you have minus a negative it's a + sign

so

-14+8 therefore it's the first one.

All rectangles are square is a false statement

The given statement is false statement.

What is a rectangle and square?

A rectangle is a quadrilateral with opposite sides parallel and equal and each angle is a right angle, where as a square is quadrilateral with opposite sides parallel and each side is equal. and every angle is a right angle.

We are given a statement All rectangle are squares.

As every side of a square is of equal length And only opposite sides are of equal length in rectangle

All rectangles are not square

Hence the statement is not true

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Answer:

123 degrees

Step-by-step explanation:

Angles in a quadrilateral add up to 360 degrees

so we add all the angles

114 + 80 + 43 which is 237

360 - 237 is 123

so angle x is 123 degrees

The slope of the line is undefined.

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

Two points on the line are (-4, 6) and (-4, 1)

Now,

Since, The equation of line passes through the points (-4, 6) and (-4, 1)

So, We need to find the slope of the line.

Hence, Slope of the line is,

m = (y₂ - y₁) / (x₂ - x₁)

m = (1 - 6) / (-4 - (-3))

m = - 5 / 0

m = ∞

Thus, The slope of the line is undefined.

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Answer:11/57

Step-by-step explanation:

Answer:

8 hours

Step-by-step explanation:

In 2 hours, the clerical secretary can do 1/4 of the job. (The executive secretary does 3/4 of the job - or 3 times as much - in the same 2 hours.)

Since it takes the clerical secretary 2 hours to do 1/4 of the job, it will take them four times that to do it themselves. 2x4=8.

There are 364 different committees of 3 people. There are 436 different committees of 4 people.

There are different scenarios for which we can calculate the number of possible committees. Here are a few examples:

To calculate the number of different committees of 3 people, we can use the combination formula, which is:

\(${n \choose k} = \frac{n!}{k!(n-k)!}$\)

where n is the total number of people and k is the number of people needed for the committee. Using this formula, we get:

\(${14 \choose 3} = \frac{14!}{3!(14-3)!} = \frac{14!}{3!11!} = 364$\)

Therefore, there are 364 different committees of 3 people that can be formed from this group.

To solve this problem, we can use the principle of inclusion-exclusion. First, we calculate the total number of committees of 4 people, which is:

\(${14 \choose 4} = \frac{14!}{4!(14-4)!} = \frac{14!}{4!10!} = 1001$\)

Next, we calculate the number of committees that do not include a freshman, which is:

\(${12 \choose 4} = \frac{12!}{4!(12-4)!} = \frac{12!}{4!8!} = 495$\)

Similarly, we calculate the number of committees that do not include a sophomore, a junior, and a senior, which are:

\(${11 \choose 4} = \frac{11!}{4!(11-4)!} = \frac{11!}{4!7!} = 330$\)

\(${10 \choose 4} = \frac{10!}{4!(10-4)!} = \frac{10!}{4!6!} = 210$\)

\(${9 \choose 4} = \frac{9!}{4!(9-4)!} = \frac{9!}{4!5!} = 126$\)

Now we can apply the principle of inclusion-exclusion, which is:

Total number of committees - (number of committees without a freshman + number of committees without a sophomore + number of committees without a junior + number of committees without a senior) + (number of committees without a freshman and without a sophomore + number of committees without a freshman and without a junior + number of committees without a freshman and without a senior + number of committees without a sophomore and without a junior + number of committees without a sophomore and without a senior + number of committees without a junior and without a senior) - number of committees without any freshmen, sophomores, juniors, or seniors.

Plugging in the values, we get:

$1001 - (495 + 330 + 210 + 126) + (66 + 120 + 165 + 84 + 55 + 35) - 1 = 436$

Therefore, there are 436 different committees of 4 people that can be formed, with at least one person from each grade level.

Note that for the last step, we subtracted 1 because there is only one committee that has no freshmen, sophomores, juniors, or seniors.

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In general, higher confidence levels provide wider confidence intervals.

What is the concept of confidence level and confidence interval?

Confidence level:

The confidence level refers to the long term success rate of the method , that is , how often this type of interval will capture the parameter of interest.

Confidence interval:

A specific confidence interval gives a range of plausible values for the parameter of interest.

As the confidence level increases, the width of confidence interval also increases.

A larger confidence level increases the chance that the correct value will be found in the confidence interval. This means the interval is larger.

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Answer:

3/128

Step-by-step explanation:

first term: 3/1

second term: 3/1*1/2 = 3/2

third term: 3/2*1/2 = 3/4

fourth term: 3/4*1/2 = 3/8

fifth term: 3/8 * 1/2= 3/16

sixth term: 3/16 * 1/2 = 3/32

seventh term: 3/32 * 1/2 = 3/64

eighth term: 3/64 * 1/2= 3/128

Answer:

\(\boxed {x = \frac{17}{10}}\)

Step-by-step explanation:

Solve for the value of \(x\):

\(3(5 - x) = 7x - 2\)

-Use Distributive Property:

\(3(5 - x) = 7x - 2\)

\(15 - 3x = 7x - 2\)

-Take \(7x\) and subtract it from \(-3x\):

\(15 - 3x - 7x = 7x - 7x - 2\)

\(15 - 10x = -2\)

-Subtract \(15\) to both sides:

\(15 - 15 - 10x = -2 - 15\)

\(-10x = -17\)

-Divide bot sides by \(-10\):

\(\frac{-10x}{-10} = \frac{-17}{-10}\)

\(\boxed {x = \frac{17}{10}}\)

So, the value of \(x\) is \(\frac{17}{10}\).

Answer:

2x(-2)+y= -1

Step-by-step explanation:

The possible outcomes are:

(1, R), (1, B) (2, R), (2, B), (3, R), (3, B)

It is the total number of possible outcomes from a given set.

We have,

One arrow possible outcomes.

= 1, 2, 3

Another- arrow possible outcomes.

= Red = R and Blue = B

Now,

The possible outcomes.

= (1, R), (1, B) (2, R), (2, B), (3, R), (3, B)

Thus,

(1, R), (1, B) (2, R), (2, B), (3, R), (3, B) are the possible outcomes.

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Answer:

\(12z^{2} -10z -12\)

Step-by-step explanation:

Let the number be z

2 more than 3 times z ==> 3z + 2

6 less than 4 times z ==> 4z - 6

Product of the above two is
\((3z + 2) (4z - 6) \\= (3z)(4z) + (3z)(-6) + (4z)(2) + (2)(-6)\\= 12z^{2} -18z + 8z - 12\\= 12z^{2} -10z -12\)