Solve the following, and express your answer in scientific notation.
(7.66 x 10^4) - (5.4 x 10^4)

The decimal number of bits required to store a + b or a - b is 17 bits.

The number of bits required to store the result of the operations equal.

For the given 4-digit hex numbers a and b, convert them to binary to determine the number of bits required. Each hexadecimal digit corresponds to 4 binary bits.

Therefore, the number of bits required to store a is 4 ×4 = 16 bits, and the number of bits required to store b is also 16 bits.

To calculate the number of bits required to store a + b or a - b, to consider the maximum value that can result from these operations. The maximum value will occur when both a and b have their highest possible values.

For a 4-digit hex number, the highest value is "FFFF" in hexadecimal or 65535 in decimal. When performing addition or subtraction, the maximum result will be 2 ×65535 = 131070, which represented by 17 bits.

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Answer:

the probability of landing a 5 is unlikely

Step-by-step explanation:

Answer:

\(\frac{10\sqrt{6} }{3}\) and \(\frac{11\sqrt{3} }{3}\)

Step-by-step explanation:

(a)

A = \(\frac{1}{2}\) × 4\(\sqrt{2}\) × \(\frac{5}{\sqrt{3} }\)

   = 2\(\sqrt{2}\) × \(\frac{5}{\sqrt{3} }\)

   = \(\frac{10\sqrt{2} }{\sqrt{3} }\) × \(\frac{\sqrt{3} }{\sqrt{3} }\) ← rationalise the denominator

= \(\frac{10\sqrt{6} }{3}\) units²

(b)

Using Pythagoras' identity in the right triangle

let hypotenuse be h , then

h² = (4\(\sqrt{2}\) )² + (\(\frac{5}{\sqrt{3} }\) )²

    = 32 + \(\frac{25}{3}\)

    = \(\frac{96}{3}\) + \(\frac{25}{3}\)

    = \(\frac{121}{3}\) ( take the square root of both sides )

h = \(\sqrt{\frac{121}{3} }\) = \(\frac{11}{\sqrt{3} }\) × \(\frac{\sqrt{3} }{\sqrt{3} }\) ← rationalise the denominator

h = \(\frac{11\sqrt{3} }{3}\)

Answer:

125917682

Step-by-step explanation:

Add them

Answer:

125917682.

Step-by-step explanation:

The correct option for the given problem is  the statistic is biased which is (e) option.

The central limit theorem states that in the event that you have a populace with mean μ and standard deviation σ and take adequately enormous irregular examples from the populace with substitution , then, at that point, the conveyance of the example means will be roughly regularly circulated.

By using above central limit theorem establishes that for a proportion p in a sample of size n.

The expected value is μ = p

The standard error is s = \(\sqrt{\frac{p(1-p)}{n} }\)

Now, in this problem the expected d value is different from the expected of μ = p.

Thus,  the statistic is biased, and the correct option is E.

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Correct question:

A certain statistic d hat is being used to estimate a population parameter D. The expected value of d hat is not equal to D. What property does d hat exhibit?

A. The sampling distribution of d hat is normal.

B. The sampling distribution of d hat is binomial.

C. The sampling distribution of d hat is uniform.

D. d hat is unbiased.

E. d hat is biased.

The correct answer is 3.6 because you only divide 18 by 5 and you'll get your answer.

The decimal equivalent of 18/5 is 3.6.

To convert a fraction to a decimal, you divide the top number by the bottom number. In this situation, you take the number 18 and divide it by the number 5.

When you divide, you get 3 as your answer and you have 3 left over. So, the decimal equivalent is 3. 6

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Answer:

To transform a figure from Quadrant II to Quadrant IV, we need to reflect it across the x-axis and then rotate it 180 degrees counterclockwise. Therefore, the sequence of transformations is:

Reflect the figure across the x-axis

Rotate the reflected figure 180 degrees counterclockwise

Note: It's important to perform the transformations in this order since rotating the figure first would change its orientation before the reflection.

Answer:

there are 16 cast members.

Step-by-step explanation:

7(210-c)=1358 multiply everything in the parentheses by 7

1470-cx=1358

-7c=-112 subtract 1470 from both sides

c=16 divide -112 by -7

c=16

The solution to the given initial-value problem is :y(t) = - (1/3) \(e^-^3^t\) + (1/2)t \(e^-^3^t\) + \(e^-^2^t\)

The Laplace transform is used to solve the given initial-value problem y'' + 9y' = δ(t − 1), y(0) = 0, y'(0) = 1.

The solution to this equation is derived as follows:L(y) = Y(s)Y''(s) + 9Y'(s) + Y(s) = \(e^-^s\) Y(s)L(δ(t-1))

Taking Laplace transforms of both sides, we get:Y(s) = 1/s² + 9/s +  \(e^-^s\) /sL(δ(t - 1))

To solve this expression, we first need to find L(δ(t - 1)). We know that:L(δ(t - 1)) = ∫(from 0-∞) \(e^-^s^t\) δ(t-1) dt=  \(e^-^s\)

Step 2 involves substituting the Laplace transforms of Y(s) and δ(t - 1) into the equation to get:Y(s) = 1/s²+ 9/s +  \(e^-^s\) /s * \(e^-^s\)

This simplifies to:Y(s) = 1/s² + 9/s + \(e^-^2^s\) /sFinally, we use partial fractions to solve this equation as follows:Y(s) = A/s + B/s² + C/(s+3) + D/(s+3)² + E \(e^-^2^s\)

After solving for A, B, C, D and E, we substitute the solutions back into Y(s) to get the final solution as:y(t) = A + Bt + C/3 ( \(e^-^3^t\)  - 1) + D/2 t( \(e^-^3^t\)  - 1) + E \(e^-^2^t\)

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In total, there are 1 + 4 + 6 = 11 outcomes in which at most two of the coins turn up as heads.

Four coins are tossed simultaneously, the number of outcomes in which at most two of the coins turn up as heads can be calculated by considering the cases with 0, 1, or 2 heads.
For 0 heads (all tails): There is only 1 outcome, TTTT.

For 1 head: There are 4 outcomes, as the head can be in any of the 4 coin positions: HTTT, THTT, TTHT, and TTTH.
For 2 heads: There are 6 outcomes, determined by the different head positions: HHTT, HTHT, HTTH, THHT, THTH, and TTHH.

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To find the general solutions of the given differential equations using D-operator methods, we will first find the characteristic equation and its roots.

3.1 (D² - 5D + 6)y = e^(-2x) + sin(2x). The characteristic equation is obtained by replacing D with λ: (λ² - 5λ + 6) = 0.  Factoring the quadratic equation, we get: (λ - 2)(λ - 3) = 0. The roots of the characteristic equation are λ₁ = 2 and λ₂ = 3. Therefore, the general solution of the homogeneous equation is: y_h = C₁e^(2x) + C₂e^(3x). To find the particular solution, we will assume a particular form of y_p: y_p = Ae^(-2x) + Bsin(2x) + Ccos(2x). Differentiating y_p twice:

y'_p = -2Ae^(-2x) + 2Bcos(2x) - 2Csin(2x)

y''_p = 4Ae^(-2x) - 4Bsin(2x) - 4Ccos(2x). Substituting these derivatives into the differential equation:(4Ae^(-2x) - 4Bsin(2x) - 4Ccos(2x)) - 5(-2Ae^(-2x) + 2Bcos(2x) - 2Csin(2x)) + 6(Ae^(-2x) + Bsin(2x) + Ccos(2x)) = e^(-2x) + sin(2x). Simplifying the equation and equating coefficients of the same terms:(4A - 10A + 6A)e^(-2x) + (-4B + 10B - 6B)sin(2x) + (-4C + 10C - 6C)cos(2x) = e^(-2x) + sin(2x). -2A + 4B + 4C = 1 (coefficients of e^(-2x))

6A - 6B - 2C = 1 (coefficients of sin(2x)). 0A - 2B + 10C = 0 (coefficients of cos(2x)).  Solving these equations, we get A = -1/6, B = -1/2, and C = -1/10. Therefore, the particular solution is: y_p = (-1/6)e^(-2x) - (1/2)sin(2x) - (1/10)cos(2x). The general solution of the given differential equation is the sum of the homogeneous and particular solutions: y = y_h + y_p = C₁e^(2x) + C₂e^(3x) - (1/6)e^(-2x) - (1/2)sin(2x) - (1/10)cos(2x)

3.2 (D² + 2D + 4)y = e^(2x)sin(2x). The characteristic equation is: (λ² + 2λ + 4) = 0. Using the quadratic formula, we find the roots: λ = (-2 ± √(-16)) / 2 = -1 ± 2i.  The roots are complex, λ₁ = -1 + 2i and λ₂ = -1 - 2i. Therefore, the general solution of the homogeneous equation is:y_h = C₁e^(-x)cos(2x) + C₂e^(-x)sin(2x). For the particular solution, we will assume: y_p = Ae^(2x) + Bx e^(2x).  Differentiating y_p twice:y'_p = 2Ae^(2x) + Be^(2x) + 2Bxe^(2x). y''_p = 4Ae^(2x) + 2Be^(2x) + 4Bxe^(2x) + 2Be^(2x) + 2Bxe^(2x)

Substituting these derivatives into the differential equation: (4Ae^(2x) + 2Be^(2x) + 4Bxe^(2x) + 2Be^(2x) + 2Bxe^(2x)) + 2(2Ae^(2x) + Be^(2x) + 2Bxe^(2x)) + 4(Ae^(2x) + Bxe^(2x)) = e^(2x)sin(2x). Simplifying the equation and equating coefficients of the same terms: (8A + 8B)x e^(2x) + (6A + 6B)e^(2x) = e^(2x)sin(2x).  Equating the coefficients: 8A + 8B = 0 (coefficients of x e^(2x)).  6A + 6B = 1 (coefficients of e^(2x)). Solving these equations, we get A = -1/4 and B = 1/4.

Therefore, the particular solution is: y_p = (-1/4)e^(2x) + (1/4)x e^(2x).  The general solution of the given differential equation is the sum of the h homogeneous and particular solutions: y = y_h + y_p = C₁e^(-x)cos(2x) + C₂e^(-x)sin(2x) + (-1/4)e^(2x) + (1/4)x e^(2x)

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Answer:

The measure of C is 123°

The measure of B is 57

PLEAZE CORRECT IT OUT IM SORRY

Yes, S = {1, 1-x, (1-x)^2} is linearly independent in the vector space V = P^10(R).

To determine whether the set S = {1, 1-x, (1-x)^2} is linearly independent in the vector space V = P^10(R), we need to check if the only solution to the equation a(1) + b(1-x) + c((1-x)^2) = 0, where a, b, and c are scalars, is a = b = c = 0.

Let's expand the equation and simplify:

a(1) + b(1-x) + c((1-x)^2) = a + b - bx + c(1 - 2x + x^2)

= (a + b + c) + (-b - 2c)x + (c)x^2

For this equation to hold true for all values of x, each coefficient in front of x and x^2 must be equal to zero.

Setting the coefficients equal to zero, we have the following system of equations:

a + b + c = 0       (1)

-b - 2c = 0        (2)

c = 0              (3)

From equation (3), we find that c = 0. Substituting this result into equation (2), we get -b = 0, which implies b = 0. Finally, substituting c = 0 and b = 0 into equation (1), we have a + 0 + 0 = 0, which gives us a = 0.

Since the only solution to the equation is a = b = c = 0, we can conclude that the set S = {1, 1-x, (1-x)^2} is linearly independent in the vector space V = P^10(R). This means that no linear combination of the vectors in S can produce the zero vector, except when all the coefficients are zero.

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Women make up 64% of the sample and are typically the household's main investment.

There is a correlation between American women and being the main provider in their home.

Descriptive statistics, also known as brief informative coefficients, are used to summarize a specific data collection, which may be a sample of a population or a representation of the entire population. Descriptive statistics include measures of variability and central tendency (spread). Measures of central tendency include the mean, median, and mode, whereas measures of variability include the standard deviation, variance, minimum and maximum variables, kurtosis, and skewness.

For instance, the sum of the following data set is 20: (2, 3, 4, 5, 6). A 4 (20/5) is the mean. A data set's mode is the number that appears most frequently, while its median is the value that is in the middle of the range of values. It is the value that separates a data set's higher values from lower values. There are many less common ways to use descriptive statistics, but they are nevertheless essential.

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The correct question is - Suppose a survey of 580 women in the United States found that more than 64​% are the primary investor in their household. Which part of the survey represents the descriptive branch of​ statistics? Make an inference based on the results of the survey.

Answer;

WUV = 36

Explanation:

Here is what we get when we draw the figures

Now we know that the sum of the interior angles of a triangle must equal 180 degrees; therefore,

Also, angle y and VWX are supplementary; therefore,

Now, solving for y in the above gives

Putting this value of y in the first equation gives

Expanding and simplifying the left-hand side gives

Subtracting 214 from both sides gives

Finally, dividing both sides by -3 gives

With the value of x in hand, we now find the measurement of WUV:

Hence, WUV = 36,

Answer:

24

Step-by-step explanation:

Answer:

ASA

Step-by-step explanation:

The values of the function are q(2) = 21/4, q(0) = undefined and q(-x) = (4x^2 + 5)/x^2

The function definition is given as:

q(t) = (4t^2 + 5)/t^2

When t =2, we have:

q(2) = (4 * 2^2 + 5)/2^2

Evaluate

q(2) = (4 * 4 + 5)/4

This gives

q(2) = 21/4

When t = 0, we have:

q(0) = (4 * 0^2 + 5)/0^2

Evaluate

q(0) = (4 * 0 + 5)/0

This gives

q(0) = undefined

When t = -x, we have:

q(-x) = (4 * (-x)^2 + 5)/(-x)^2

Evaluate

q(-x) = (4x^2 + 5)/x^2

Hence, the values of the function are q(2) = 21/4, q(0) = undefined and q(-x) = (4x^2 + 5)/x^2

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The numeric values of the function are given as follows:

To find the numeric value of a function, we replace each instance of the variable by the desired value.

In this problem, the function is given by:

\(q(t) = \frac{4t^2 + 5}{t^2}\)

When t = 2, the numeric value is:

q(2) = [4(2)² + 5]/2² = 5.25.

When t = 0, the numeric value is:

q(0) = [4(0)² + 5]/0² = Undefined, as division by 0 does not exist.

When t = -x, the numeric value is:

q(-x) = [4(-x)² + 5]/(-x)² = (4x² + 5)/x².

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Answer:

\(\dfrac{15}{2}\)

Step-by-step explanation:

The average speed of the Erin is 120/16 mph

Here,

Numerator = 120

Denominator = 16

mph = miles per hour

We need to find an expression expressed as a decimal.

So,

\(\dfrac{120}{16}=\dfrac{2\times 3\times 2\times 2\times 5}{2\times 2\times 2\times 2}\\\\=\dfrac{15}{2}\)

So, the final answer is \(\dfrac{15}{2}\).

Step-by-step explanation:

Volume of a cylinder = pi r^2 h     <=====solve for 'h'

h = volume / (pi r^2)

  = 348.3 mm^3 / ( pi * 4.5^2)             ( I assumed the dimension mm^3 )

h = ~ 5.5 mm

If the RMS value of the sinusoidal input to a full wave rectifier is Vo / (2)^(1/2) then the RMS value of the rectifier’s output is  \(Vo * (2)^(1/2) / 2.\)

Full wave rectifier length = Vo / (2)^(1/2)

The peak value of the output voltage = Vo.

For a full-wave rectifier, the outcome voltage is the whole value of the input voltage.

The RMS value of a sinusoidal waveform can be calculated using the formula:

Vrms = Vp / \((2)^(1/2)\)

Vrms = Vo / \((2)^(1/2)\)

To simplify this equation, we can multiply both the numerator and the denominator by (2)^(1/2):

\(Vrms = (Vo / (2)^(1/2)) * ((2)^(1/2)/(2)^(1/2))\)

\(Vrms = Vo * (2)^(1/2) / 2\)

Therefore, we can conclude that the RMS value of the rectifier's output is \(Vo * (2)^(1/2) / 2.\)

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Answer:

here ,

question no. L the question is incomplete.

rest all are solved hope this helped u ☺️

The Hamiltonian Federalists, Wilsonian Democrats, and New Dealers all advocated for a significant government role in the American economy.

Hamiltonian Federalists aimed for a strong central government that would promote economic development, Wilsonian Democrats sought progressive reforms and economic regulation, while New Dealers aimed for government intervention and social welfare programs.

Hamiltonian Federalists, led by Alexander Hamilton, believed in a strong central government with the power to shape and promote economic development. They advocated for policies such as a national bank, protective tariffs, and infrastructure development to stimulate industry and trade. Wilsonian Democrats, influenced by President Woodrow Wilson, aimed for progressive price and economic regulation.

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Answer:

It c

Step-by-step explanation:

i had this question just a min ago

The perimeter of circle having radius 13 meter is 40.82 meter

Given that

Diameter of circle = 13 meters

We know that,

A circle is a closed, two-dimensional object where every point in the plane is equally spaced from a central point. The line of reflection symmetry is formed by all lines that traverse the circle. Additionally, every angle possesses rotational symmetry around the center.

Since we also know that,

Radius of circle is half of diameter,

Therefore,

Radius = r = 13/2

                 =  6.5 meters

Since, we know that,

Circumference of circles is = 2πr

                                             = 2x3.14x6.5

                                             = 40.82 meter

Hence perimeter = 40.82 meter

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The percentage of defective units is 2/40, which equals 0.05.

In mathematics and statistics, the concept of mean is crucial. The most typical or average value among a group of numbers is called the mean.

It is a statistical measure of a probability distribution's central tendency along the median and mode. It also goes by the name "anticipated value."

It is a statistical idea with significant financial implications. The idea is applied in a number of financial areas, such as business appraisal and portfolio management, although not exclusively.

There are several methods for calculating a set of values' central tendency. The mean can be calculated in a number of different methods. The top two are listed below:

The sum of all values in a group of numbers divided by the total number of numbers in the group is the arithmetic mean.

According to our question-

Point estimate of mean  = (39 + 31 + 38 + 40 + 29 + 32 + 33 + 39 + 35 + 32 + 32 + 27 + 30 + 31 + 27 + 30 + 29 + 34 + 36 + 25 + 30 + 32 + 38 + 35 + 40 + 29 + 32 + 31 + 26 + 26 + 32 + 26 + 30 + 40 + 32 + 39 + 37 + 25 + 29 + 34)/40

Point Estimate of the mean = 1292/40 = 32.3

Hence , The percentage of defective units is 2/40, which equals 0.05.

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Answer:

The point estimate of the population mean is

32.30

, and the point estimate of the proportion of defective units is

0.05

.

Step-by-step explanation:

i got it right

Answer:

You can use Protector' but dint have use this method:

Acute. Draw a vertical line connecting the 2 rays of the angle. To determine the number of degrees in an acute angle, connect the 2 rays to form a triangle. Line up the short end of your ruler with the bottom ray, then draw a vertical line intersecting the other ray using the long side of your ruler.

Answer:

Classify the sequence {1, 6, 11, 16, 21, …}.

The pattern is +5:

1 + 5 = 6

6 + 5 = 11

11 + 5 = 16

16 + 5 = 21

21 + 5 = 26

And so on

Step-by-step explanation:

You're welcome

To order a calzone with 6 distinct topping from available list of 8 vegetarian toppings, number of choices of calzone available is 28.

Therefore, the answer is 28.

Total number of available toppings equals 8 and the number of toppings selecting is 6.

The number of ways calzone can be chosen with 6 distinct topping from 8 vegetarian toppings can be obtained by combination formula.

nCm = n!/ (m! × (n - m)!)

Therefore, the number of ways = nCm

= 8C6

= 8!/ (6! × (8 - 6)!)

= 8!/ (6! × 2!)

= (8 × 7)/ 2

= 28

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