what is the difference (7² + 8² + 9²) - (6² + 5² + 4²)

Answer:

1/2 dozen of one score is 30%.

Step-by-step explanation:

As we know that 1 dozen = 12 units.

1/2 dozen = 1/2 times 12=6 units

1 score = 20 units.

By using this conversion, we get

6/2 times 100=30%

So 1/2 dozen of one score is 30%

Rounding to the nearest tenth, the yield on a 2-year Treasury note is approximately 7.3%. Option b

The yield on a 2-year Treasury note can be calculated by adding up the various components that contribute to the yield. The real risk-free rate is given as 3%, and the inflation rates for this year and next year are 4% and 5% respectively. Additionally, the maturity risk premium is estimated to be 0.20(t-1)%, where t is the number of years to maturity.

To calculate the yield on a 2-year Treasury note, we need to consider the real risk-free rate, inflation expectations, and the maturity risk premium. The yield will be the sum of these components.

In this case, since the maturity is 2 years (t = 2), the maturity risk premium would be 0.20(2-1) = 0.20%.

Therefore, the yield on a 2-year Treasury note would be:

Yield = Real risk-free rate + Inflation rate + Maturity risk premium

= 3% + 4% + 0.20%

= 7.30%

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Answer:

E

Step-by-step explanation:

they have the same dimensions it is just flipped around

Answer: 113.04 cm^3

Step-by-step explanation:

The surface area of a cube is:

S = 6*L^2

then:

216 = 6*L^2

216/6 = L^2

L = √(36) = 6

So the length of the side of this square is L = 6cm

Then the diameter of the sphere is also 6 cm, and the radius is half the diameter, so the radius is 3cm.

Now the volume of a sphere is:

V = (4/3)*pi*r^3 = (4/3)*3.14*3^3 = 113.04 cm^3

Answer:

A

Step-by-step explanation:

Point A, C and F lies on the given line y = \((\frac{1}{4} )^{x}\) .

Given in question,

y = \((\frac{1}{4} )^{x}\)

y = \(4^{-x}\)

Points A(-2,16),  B(2,8),  C(-1,4), D(0,4), E(1,4), F(0,1) and G(-2,0)

We will points in the equation.

For point A(-2,16)

\(16 = 4^{-(-2)}\)

    \(= 4^{2}\)

    \(16=16\)       True

For point B(2,8)

\(8= 4^{-2}\)

  \(=\frac{1}{4^{2} }\)

  \(=\frac{1}{16}\)

\(8=\frac{1}{16}\)            False

For point C(-1,4)

\(4=4^{-(-1)}\)

  \(=4^{1}\)

\(4=4\)             True

For point D(0,4)

\(4=4^{-0}\)

\(4= 1\)            False

For point E(1,4)

\(4=4^{-1}\)

\(4=\frac{1}{4}\)           False

For point F(0,1)

\(1=4^{-0}\)

\(1=1\)            True

For point G(-2,0)

\(0=4^{-(-2)}\)

  \(= 4^{2}\)

\(0=16\)          False

Hence, only point A,C and F satisfies the equation.

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The difference in the proportion of males and the proportion of females that smoke is 0.08

In a sample of 61 males, 15 smoke, while in a sample of 48 females, 8 smoke.

The given parameters are:

                             Male           Female

Sample                  61                  48

Smokers               15                   8

The proportion is calculated using:

p = Smoker/Sample

So, we have:

Male = 15/61 = 0.25

Female = 8/48 = 0.17

The difference is then calculated as:

Difference = 0.25 - 0.17

Evaluate

Difference = 0.08

Hence, the difference in the proportion of males and the proportion of females that smoke is 0.08

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Answer: size and shape

Step-by-step explanation:i got it right on the quiz

The features of figure JKLM that would be preserved after any rigid transformation are: its shape and size.

A rigid transformation, include the following forms of transformations that preserves the size and size of the orginal figure before transformation: translation, reflections, and rotations.

The shape and size of a fugure are preserved after a rigid transformation.

Therefore, the features of figure JKLM that would be preserved after any rigid transformation are: its shape and size.

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Answer:

C point product of a vector.

Step-by-step explanation:

Got it right on Odyssey ware

We can compute various descriptive statistics such as the mean, median, mode, range, variance, standard deviation, sum of values, and sum of squared deviations.

The sample mean, also known as the average, provides information about the central tendency of the variable X. It represents the typical or average number of coupons used by the shoppers in the sample. In this case, calculating the mean of the given data would provide an estimate of the average number of coupons used over the 6-month period.

The sample standard deviation measures the dispersion or variability of the data points around the mean. It indicates how much the individual observations deviate from the mean value. A higher standard deviation implies greater variability, indicating a wider range of coupon usage among the shoppers in the sample.

By computing the sample mean and standard deviation, we can understand the average coupon usage and the degree of variability in the data. These statistics help us summarize and interpret the characteristics of the variable X, allowing us to make comparisons, identify outliers, assess the spread of the data, and make inferences about the larger population from which the sample was drawn.

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Answer:

75%

increase

Hello!

\(\large\boxed{\text{Infinitely many solutions.}}\)

-3(x - 14) + 9x = 6x + 42

Distribute the coefficient of the parenthesis:

-3(x) - 3(-14) + 9x = 6x + 42

-3x + 42 + 9x = 6x + 42

Combine like terms:

6x + 42 = 6x + 42

Both sides of the equation are the same, therefore:

There are infinitely many solutions.

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______________________

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For solving such problems we need to recall equations .

⠀⠀⠀⠀

When the value of two variable comes equal and zero in an equation then that equation is said to have infinitely many solutions . If the value of a variable have any particular constant then the equation is said to have one solution . If the value of of any variable comes undefine then the equation is said to have no solution .

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➠ - 3 ( x - 14 ) + 9x = 6x + 42

➠ -3x + 42 + 9x = 6x + 42

Now, we will bring the variable on left hand side and constants on right hand side

➠ -3x + 9x - 6x = 42 - 42

➠ -9x + 9x = 42 - 42

➠ 0 = 42 - 42

➠ 0 = 0

As we can see the equation have end with a zero the equation have indefinitely many solutions

➠ Indefinity many solutions

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The height of the school football goal post is approximately 0.909 meters or 0.91 meters when rounded to the nearest hundredth which is obtained by using equation.

To determine the height of the goal post, Tom used the concept of similar triangles. When Tom stood 12.65 meters away from the mirror on the ground, he marked the center of the mirror with an "x." He then continued walking an additional 6.3 meters past the mirror. By turning around and looking down at the mirror, he could see the top of the goal post, also marked with an "x."

The key to solving this problem lies in the similarity of the triangles formed. The height of the goal post can be represented as 'h,' the distance between the mirror and Tom's eyes as 'd,' and the distance between Tom and the mirror as 'x.'

Using similar triangles, we can set up the following proportion:

h / (d - x) = x / d

Given that Tom's partner measured the distance from Tom's eyes to the ground as 1.45 meters, we substitute 'd' with 1.45 meters. Rearranging the equation, we can solve for 'h':

h = (x * 1.45) / (d - x)

Plugging in the values, we find:

h = (6.3 * 1.45) / (12.65 + 6.3) ≈ 0.909 meters

Therefore, the height of the school football goal post is approximately 0.909 meters or 0.91 meters when rounded to the nearest hundredth.

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Answer:

multiplication 4(3x-1)

12x-4

The measure of angle JKL is 105⁰.

The measure of angle KJM is  75⁰.

In an isosceles trapezoid, the property of opposite angles is that they are congruent or equal in measure. Specifically, the two angles that are formed by the intersection of the non-parallel sides with the bases of the trapezoid are opposite angles, and they have the same measure.

The measure of angle JKL is calculated as;

m∠JKL = 27⁰ + 78⁰ = 105⁰

m∠JKL = 105⁰

The measure of angle KJM is calculated as;

m∠KJM = ¹/₂ (360 -  2x105)

m∠KJM = 75⁰

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Answer:

65

Step-by-step explanation:

65 + 50 + x = 180

115 + x = 180

x = 65

If Kevin works two more hours than Emily, the correct number of hours that complete the table are 6, 5, 8, and j.

The number of hours can be expressed as:

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Answer:

E

Step-by-step explanation:

Have a good day :)

Answer:

Un excursionista camina por un prado llano, observando una montaña a

lo lejos. Mide que el ángulo de elevación entre el suelo

y la cima de la montaña es de 25 grados. Camina 5 millas y luego

mide el ángulo de elevación nuevamente, ahora es de 40 grados. ¿Qué altura tiene

la montaña?

Step-by-step explanation:

A man is picked up with a bac of 0. 18. He drank 12 standard drinks over a period of 4hours. So to determine the appropriate formula for calculating blood alcohol concentration (BAC), the values "n" (number of standard drinks) and "h" (time period in hours) need to be substituted.

The appropriate formula for calculating BAC is BAC = (n * 0.6) / h, where "n" represents the number of standard drinks consumed and "h" represents the time period in hours. In this case, the man drank 12 standard drinks over a period of 4 hours. Substituting these values into the formula, we have BAC = (12 * 0.6) / 4 = 1.8 / 4 = 0.45. Therefore, the man's BAC is 0.45.

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The equation of line in slope intercept form is y = -0.5x -3.

What is slope intercept form?

The graph of the equation y = mx + b is a line with slope m and y-intercept b. The slope-intercept method is used to depict the linear equation, where m and b are real numbers.

We are given a line on the graph.

Taking two points as (2, -4) and (-2, -2), we get the slope as

⇒m = \(\frac{-2 +4 }{-2-2}\)

⇒m = \(\frac{2 }{-4}\)

⇒m = \(\frac{-1 }{2}\)

⇒m = -0.5

Similarly,

b = -3

We know that slope intercept form is given by

y = mx + b

On substituting, we get

y = -0.5x -3

Hence, the equation of line in slope intercept form is y = -0.5x -3.

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Step-by-step explanation:

Let L and W be the length and width of the rectangle, respectively.

We know that the perimeter, P, of a rectangle is given by:

P = 2L + 2W

In this case, P = 16 cm, so we have:

16 = 2L + 2W

Simplifying, we get:

8 = L + W

To find the greatest area of the rectangle, we need to maximize the product of L and W, which is the formula for the area, A:

A = L * W

We can solve for one variable in terms of the other using the equation we found earlier:

L = 8 - W

Substituting this into the formula for the area, we get:

A = (8 - W) * W

Expanding and simplifying, we get:

A = 8W - W^2

To find the maximum value of A, we can use calculus or complete the square. Completing the square, we get:

A = -(W - 4)^2 + 16

Since the square of a real number is always nonnegative, the maximum value of A occurs when (W - 4)^2 = 0, which is when W = 4.

Substituting this value back into the equation for the perimeter, we get:

8 = L + 4

L = 4

Therefore, the rectangle with a perimeter of 16 cm and the greatest area is a square with sides of length 4 cm, and its area is:

A = L * W = 4 * 4 = 16 square centimeters.

Therefore, the value of n that makes the system of equations true is n = 10.

Given:

p = 2n

p - 5 = 1.5n

Substituting the value of p from the first equation into the second equation, we have:

2n - 5 = 1.5n

Next, we can solve for n by subtracting 1.5n from both sides of the equation:

2n - 1.5n - 5 = 0.5n - 5

Simplifying further:

0.5n - 5 = 0

Adding 5 to both sides of the equation:

0.5n = 5

Dividing both sides by 0.5:

n = 10

Therefore, the value of n that makes the system of equations true is n = 10.

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Answer:

Step-by-step explanation o:

Answer:

If the triangles are in agreement or harmony.

Step-by-step explanation:

Probability that exactly 8 online bankers have not profited from insider information is C(15, 8) * 0.3^8 * (1 - 0.3)^(15 - 8).

Using the binomial distribution formula and rounding to four decimal places, we can calculate these probabilities and expected values.

To solve these probability problems, we can use the binomial distribution formula:

P(x) = C(n, x) * p^x * (1 - p)^(n - x)

where:

P(x) is the probability of x successes,

C(n, x) is the number of combinations of n items taken x at a time,

p is the probability of success in one trial, and

n is the number of trials.

In this case, let's calculate the probabilities step by step:

Probability that exactly 8 online bankers have not profited from insider information:

n = 15 (number of trials), x = 8 (number of successes), p = 0.3 (probability of success)

P(8) = C(15, 8) * 0.3^8 * (1 - 0.3)^(15 - 8)

Probability that at most 5 online bankers have profited from insider information:

P(x ≤ 5) = P(0) + P(1) + P(2) + P(3) + P(4) + P(5)

= P(0) + P(1) + P(2) + P(3) + P(4) + P(5)

Probability that not all selected online bankers have profited from insider information:

P(not all) = 1 - P(all)

Probability that more than 12 online bankers have profited from insider information:

P(x > 12) = P(13) + P(14) + P(15)

Expected number of online bankers who have profited from insider information:

E(x) = n * p

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Answer:

8x-12

Step-by-step explanation:

Answer:

Step-by-step explanation:

\(4(2x-3)\)

Expand

\(4\times 2x = 8x\\\\4\times(-3)=-12\\\\8x-12\)