2. Consider the matrix equation V' = [M10]v where 1 M= 5 4 3 3 8.5 and M10 - 5ło ( 83')( 1 8%)(: 3:)...(43) 10 instances
(a) Solve for v = (X', y') when v= (1,1). (b) Calculate the ratio y'/x'. (c) How does your answer to (b) compare to yı/21 and y2/22 from the components of the eigenvectors Vị and v2 of the matrix M? (d) Using a discrete phase portrait and words, explain why close association between y' /x' and eigenvalue ratios for M that you found in part (c) makes sense.

The probability that a repair takes at least 1212 hours is 0.67.

With a mean of 2.5 hours, the repair time is treated as an increasingly random variable.

Because the inverse of the mean is the parameter of the exponential distribution, λ = 0.4 \(h^{-1}\).

The probability that a repair duration will transcend k hours may well be described as follows:

P(t > K) = \(e^{-\lambda t}\) = \(e^{-0.4t}\)

Given that a repair takes over 11 hours, the conditional likelihood that it will take at least 12 hours,

The exponential distribution has a discrete-time feature, which means that the probability of future events is not affected by previous events.

In this example, the conditional chance that a repair will take at least 10 hours is equal to the possibility that a repair will take at least (12 - 11) = 1 hour.

P(t > 12| t > 11) = P(t > 1)

P(k > 1) = \(e^{-0.4 * 1}\) = 0.67

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Answer:

1539/4 (improper fraction) or 384 3/4 (simplified fraction)

Step-by-step explanation:

To find the improper fraction, write 384.75 as a fraction:

384.75/1

Then, since you have 2 decimal places after the ., multiply the entire fraction by 100:

38475/100

Next, find the GCF, which is 25, and simplify this fraction to find the final improper fraction:

1539/4

To find the simplified fraction, we already have the whole number, 384, so we have to convert 0.75 to a fraction which is 3/4, because 0.75 is 3/4 of 100:

384 3/4

Hope this helps :)

Answer:

1). Option (A)

2). Option (A)

Step-by-step explanation:

1). A worker bee has the mass = 0.00011 kg

   In scientific notation we can convert the mass of bee as,

   0.00011 = \(\frac{1.1}{10000}\)

                 = \(1.1\times 10^{-4}\)

   Since 1.1 ≈ 1,

   Therefore, 1.1 × 10⁻⁴ ≈ 1 × 10⁻⁴ kg

   Option (A) is the answer.

2). An African elephant has a mass = 8139 kg

    In scientific notation,

    8139 = 8.139 × 10³

    Since, 8.139 ≈ 8

    Therefore, 8139 kg = 8.139 × 10³ kg

    Option (A) is the answer.

Step-by-step explanation:

h(-1) simply means that x=-1, and we use that everywhere in the function, where x appears, and simply calculate the result.

that is how a function works. out of an input value (x) we generate/calculate a result value (y).

(2x - 6) / (4x² + 8)

x = -1

(2×-1 - 6) / (4×-1² + 8) = (-2 - 6) / (4×1 + 8) = -8 / (4+8) =

= -8/12 = -2/3

h(-1) = -2/3

Luke will have amount of £43,292.17 in his account after 6 years and 3 months.

To solve this problem, we need to use the compound interest formula:

A = P(1 + r/n)^(nt)

where:

A = the final amount of money in the account

P = the initial amount of money invested

r = the annual interest rate (as a decimal)

n = the number of times per year the interest is compounded

t = the number of years

For the first two years, the interest rate is 3.4% per annum, compounded monthly. So we have:

P = £34,000

r = 0.034/12 = 0.0028333 (monthly interest rate)

n = 12 (monthly compounding)

t = 2 (years)

Using the formula, we can calculate the amount of money in the account after two years:

A1 = £34,000(1 + 0.0028333/12)^(12*2) ≈ £37,144.14

After the first two years, the interest rate is 2.3% per annum, compounded monthly. So we have:

P = £37,144.14

r = 0.023/12 = 0.0019167 (monthly interest rate)

n = 12 (monthly compounding)

t = 4.25 (years)

Note that we need to use 4.25 years for the remaining time because 6 years and 3 months is equivalent to 6.25 years, and we have already accounted for the first 2 years.

Using the formula, we can calculate the amount of money in the account after the remaining 4.25 years:

A2 = £37,144.14(1 + 0.0019167/12)^(12*4.25) ≈ £43,292.17

Therefore, the total amount of money in the account after 6 years and 3 months is approximately £43,292.17.

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Answer:

4/9

Step-by-step explanation:

The only other recurring decimal would be 4/3 but that's greater than 1.

Answer:

4/9

Step-by-step explanation:

1/2 is 0.5

4/3 doesn't matter. It's an improper fraction, so it's above 1.

9/10 is 0.9

So, the only one left is 4/9, which is 0.44 repeating.

En route at FL290, the altimeter is set correctly, but not reset to the local altimeter setting of 30. 57" Hg during descent. If the field elevation is 650 feet and the altimeter is functioning properly, the approximate indication upon landing is 715 feet's.

Flight levels are used to provide safe vertical separation between aircraft despite natural variations in local atmospheric pressure. Historically, altitude was measured with a barometric altimeter, which is essentially a calibrated barometer. The altimeter measures ambient air pressure which, according to the barometric formula, decreases as altitude increases. The corresponding height is then calculated and displayed. If the altimeter calibrations of different aircraft are inconsistent, two aircraft may be flying at the same altitude even though their altimeters indicate they are at different altitudes.

Flight altitude solves this problem by defining altitude in terms of standard atmospheric pressure at sea level. All aircraft operating at flight altitude are calibrated to this setting, regardless of the actual pressure

To display true altitude, the pilot must calibrate the altimeter to the local atmospheric pressure at sea level to account for natural variations in atmospheric pressure over time and across a region.

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Answer:

Step-by-step explanation:

3x + 2 = (2x + 13)/3

9x + 6 = 2x + 13

9x - 2x = 13 - 6

7x = 7

x = 7 : 7

x = 1

Answer:

$79.53

Step-by-step explanation:

78.27 + 1.26 = 79.53

I dont know sorry but i bet someone else knows

Based on the number of people who are older than 35 years and the people with a hemoglobin level between 9 and 11, the probability is 0.531.

This question does not have the relevant data attached so I will use a similar question.

The probability that a person is older than 35 and has a hemoglobin level of between 9 and 11 can be found as:

= Person who has hemoglobin level of between 9 and 11 and is above 35 years / Total number of people older than 35 years

= (162 - 40 - 76) / 162

= 0.531

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Using FOIL method for the multiplication, we have:

1: 3x (5x - 4) = 15x² - 12x

2: x²(5x² + 3y + 1) = 5x⁴ + 3x²y + x²

3: (4x + 3)(4x -5)  = 16x² - 8x - 15

4: (7x - 3)(4x - 5) = 28x² - 47x + 15

FOIL is an acronym that stands for "First, Outer, Inner, Last". It is a mnemonic device that is commonly used to remember the process of multiplying two binomials.

No. 1

3x (5x - 4) = 3x*5x + 3x*(-4)

                 = 15x² - 12x

No. 2

x²(5x² + 3y + 1) = x²*5x² + x²*3y + x²*1

                        = 5x⁴ + 3x²y + x²

No. 3

(4x + 3)(4x -5) = 4x(4x-5) + 3(4x-5)

                    = 4x*4x + 4x*(-5) + 3*4x + 3*(-5)

                    = 16x² - 20x + 12x - 15

                    = 16x² - 8x - 15

No. 4

(7x - 3)(4x - 5) = 7x(4x - 5) - 3(4x - 5)

                      = 7x*4x  + 7x*(-5) - 3*4x - 3*(-5)

                      = 28x² - 35x -12x + 15

                      = 28x² - 47x + 15

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The scale factor of dilation can be found by using the formula\((x_0=\frac{kx_1-x_2}{k-1}, y_0=\frac{ky_1-y_2}{k-1})\).

What is dilation?

A dilation is a transformation that creates an image that has the same shape as the original but is larger.

• An enlargement is a dilation that produces a larger image.

• A reduction is a dilation that produces a smaller image.

• A dilation expands or contracts the original figure.

A dilation is a stretch or a shrink in the size and location of a figure or point.

The scale factor in a dilation is the amount by which the figure is stretched or shrunk.

The center of dilation is a reference point used to appropriately scale the dilation of a figure. Given a point on the pre-image, \((x_1, y_1)\)and a corresponding point on the dilated image \((x_2, y_2)\)and the scale factor,

k, the location of the center of dilation, \((x_0,y_0)\) is

\((x_0=\frac{kx_1-x_2}{k-1}, y_0=\frac{ky_1-y_2}{k-1})\)

Hence, the scale factor of dilation can be found by using the formula\((x_0=\frac{kx_1-x_2}{k-1}, y_0=\frac{ky_1-y_2}{k-1})\).

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\((2x^5)^3\implies \left(2^3x^{5\cdot 3} \right)\implies 8x^{15}\)

Therefore, the compound interest of the annuity due of BD 400 paid each 4 months for 6.2 years at a nominal rate of 3% per annum is BD 40,652.17.

Compound interest of an annuity due can be calculated using the formula:A = R * [(1 + i)ⁿ - 1] / i * (1 + i)

whereA = future value of the annuity dueR = regular paymenti = interest raten = number of payments First, we need to calculate the effective rate of interest per period since the nominal rate is given per annum. The effective rate of interest per period is calculated as

:(1 + i/n)^n - 1 = 3/1003/100 = (1 + i/4)^4 - 1

(1 + i/4)^4 = 1.0075i/4 = (1.0075)^(1/4) - 1i = 0.0303So,

the effective rate of interest per 4 months is 3.03%.Next, we can substitute the given values in the formula:

A = BD 400 * [(1 + 0.0303)^(6.2 * 3) - 1] / 0.0303 * (1 + 0.0303)A = BD 400 * [4.227 - 1] / 0.0303 * 1.0303A = BD 400 * 101.63A = BD 40,652.17

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The value of x is 51⁰ and the exterior angle is 131⁰.

What is an angle?

An angle is a figure in Euclidean geometry made up of two rays that share a common terminal and are referred to as the angle's sides and vertices, respectively. Angles created by two rays are in the plane where the rays are located. The meeting of two planes also creates angles. We refer to these as dihedral angles.

Given equation is

80 + x = 3x - 22

Subtract 80 from both sides:

x = 3x - 102

Subtract 3x from both sides:

-2x = -102

Divide both sides by -2:

x = 51

The value of exterior angle is 3x - 22 = (3×51) -22 = 131⁰.

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Question:

Find the measure of the exterior angle shown.

80 + x = 3x - 22

Answer:

the 3rd

Step-by-step explanation:

Answer:

When you are adding a negative number to a positive number you are effectively subtracting the second number from the first. ... And then you add the negative number, which means you are moving to the left – in the negative direction. Basically you are subtracting the 2. The answer is 2.

Step-by-step explanation:

Results would you expected to see at testing is one group of participants who is told to try to understand the structure of the geometry problem to solve it will be able to get good marks in the test.

One group of participants is who told to try to understand the structure of the problem will be able solve the problem by analyzing and geometry problem.

The other group who is asked to try to memorize the problem may not be able to solve the test because they will not be able to understand the  problem as the question will be different and will not get good marks in the test.

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Given:

A fraction is greater than \(\dfrac{3}{12}\), is less than \(\dfrac{75}{100}\).

The fraction has 6 as a denominator.

To find:

The fraction value.

Solution:

Let x be the required fraction.

According to the given information, we get

\(\dfrac{3}{12}<x<\dfrac{75}{100}\)

\(\dfrac{1}{4}<x<\dfrac{3}{4}\)

We know that, \(\dfrac{1}{4}<\dfrac{2}{4}<\dfrac{3}{4}\). So,

\(x=\dfrac{2}{4}\)

\(x=\dfrac{1}{2}\)

We need 6 as the denominator.

Multiply the numerator and denominator by 3.

\(x=\dfrac{1\times 3}{2\times 3}\)

\(x=\dfrac{3}{6}\)

Therefore, the required fraction is \(\dfrac{3}{6}\).

The fraction that Greg wrote is 3/6.

A fraction is a quantity that is not a whole number. A fraction usually has a numerator and a denominator. The numerator is the number above. While the denominator is the number below. An example of a fraction is 1/2.

The first step is to express 3/12 and 75/100 in its simplest form.

3/12 = 1/4

75/100 = 3/4

The second step is to determine the difference between the fractions

3/4 - 1/4

\(\frac{3 - 1}{4}\) = \(\frac{2}{4} = \frac{1}{2}\)

The third step is to multiply by 3

3/6

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The total number of fishes present in the lake on my 1 is 840.

The given data for the question-

September is equivalent to a percentage of tagged fish in May.

3/42 = 60/x

x = 60 *42 / 3

x = 840

Thus, the total number of fishes present in the lake on my 1 is 840.

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Answer:

10 years

Step-by-step explanation:

Let the age of the remaining student be x years.

\(Average \:of\:ages = \frac{Sum \: of \: ages }{No. \: of \: students} \\ \\ 9 = \frac{5 + 7 + 8 + 15 + x}{5} \\ \\ 9 = \frac{35+ x}{5} \\ \\ 9 \times 5 = 35 + x \\ \\ 45 = 35 + x \\ \\ 45 - 35 = x \\ \\ x = 10 \: years\)

Answer:

The age of the remaining student = 10 years

Step-by-step explanation:

Let the age of the remaining student = x

Average age of 5 students  = 9 year

Sum of the age of 5 students  = 9*5 = 45 years

5 + 7 + 8 + 15 + x = 45

               35 + x = 45

                        x = 45 - 35

                        x = 10

The age of the remaining student =  10 years

Random sampling is a part of the sampling technique in which each sample has an equal probability of being chosen. A sample chosen randomly is meant to be an unbiased representation of the total population. If for some reasons, the sample does not represent the population, the variation is called a sampling error.

Researchers often start with a simple random sample. This allows them to statistically measure a subset of individuals selected from a larger group or population to approximate a response from the entire group.

1. Lack of Bias :

The use of simple random sampling removes all hints of bias—or at least it should. Because individuals who make up the subset of the larger group are chosen at random, each individual in the large population set has the same probability of being selected. In most cases, this creates a balanced subset that carries the greatest potential for representing the larger group as a whole.

Here's a simple way to show how a researcher can remove bias when conducting simple random sampling. Let's say there are 100 bingo balls in a bowl, from which the researcher must choose 10. In order to remove any bias, the individual must close their eyes or look away when choosing the balls.

2. Simplicity : -

As its name implies, producing a simple random sample is much less complicated than other methods. There are no special skills involved in using this method, which can result in a fairly reliable outcome. This is in contrast to other sampling methods like stratified random sampling. This method involves dividing larger groups into smaller subgroups that are called strata. Members are divided up into these groups based on any attributes they share. As mentioned, individuals in the subset are selected randomly and there are no additional steps.

3. Less Knowledge Required : -

We've already established that simple random sampling is a very simple sampling method to execute. But there's also another, similar benefit: It requires little to no special knowledge. This means that the individual conducting the research doesn't need to have any information or knowledge about the larger population in order to effectively do their job. Be sure that the sample subset from the larger group is inclusive enough. A sample that doesn't adequately reflect the population as a whole will result in a skewed result.

1.  Difficulty Accessing Lists of the Full Population : -

An accurate statistical measure of a large population can only be obtained in simple random sampling when a full list of the entire population to be studied is available. Think of a list of students at a university or a group of employees at a specific company. The problem lies in the accessibility of these lists. As such, getting access to the whole list can present challenges. Some universities or colleges may not want to provide a complete list of students or faculty for research. Similarly, specific companies may not be willing or able to hand over information about employee groups due to privacy policies.

2. Time Consuming : -

When a full list of a larger population is not available, individuals attempting to conduct simple random sampling must gather information from other sources. If publicly available, smaller subset lists can be used to recreate a full list of a larger population, but this strategy takes time to complete.

Organizations that keep data on students, employees, and individual consumers often impose lengthy retrieval processes that can stall a researcher's ability to obtain the most accurate information on the entire population set.

3. Costs :

In addition to the time it takes to gather information from various sources, the process may cost a company or individual a substantial amount of capital. Retrieving a full list of a population or smaller subset lists from a third-party data provider may require payment each time data is provided.

If the sample is not large enough to represent the views of the entire population during the first round of simple random sampling, purchasing additional lists or databases to avoid a sampling error can be prohibitive.

4. Sample Selection Bias : -

Although simple random sampling is intended to be an unbiased approach to surveying, sample selection bias can occur. When a sample set of the larger population is not inclusive enough, representation of the full population is skewed and requires additional sampling techniques.

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Answer:

97

Step-by-step explanation:

|5-18|+81+3

|-13|+81+3

13+81+3

97

Answer:

97

Step-by-step explanation:

I hope this helps!

According to the given statement the thermal conductivity is :

0.0003(W/(m* c))

Thermal conductivity is defined as the rate at which heat is transported by conduction through a unit cross-section surface of a material that whenever a temperature gradient exists perpendicular to the area.

The material's thermal conductivity is defined as the ratio of the rate of heat flow per unit area to the negative of the temperature gradient: dQdt=KAdTdx.

0.03 watts (W) per meter (m) per degree Celsius as a result, thermal conductivity is:

= 0.03(W/(m* c))

while we want the heat conductivity of the batting in w/cm•c

The only distinction is between metre and cm.

As a result, we must convert meter's to centimeters.

we are aware

1m =100cm

As a result, thermal conductivity may be written as.

= 0.03(W/(m* c))

we can replace 1m as 100cm.

= 0.03(W/(100m* c))

No simplifying the equation we get:

=  0.0003(W/(m* c))

According to the given statement the thermal conductivity is :

0.0003(W/(m* c)).

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Answer:

A

Step-by-step explanation:

I think

Step-by-step explanation:

3 blue

4 red

2 yellow

in total 9 marbles.

when looking at the 3 blue marbles that leaves 9-3 = 6 others (red and yellow).

so, the ratio is

3:6 = 1:2

remember, a ratio is a fraction and follows the same rules of calculation, simplification, ...

Base, Exempt. The source from which property tax revenue can be obtained is the value of the total tax base less the value of property that is exempt from property taxes.

Property tax is a tax on the value of real estate or other property. The tax base for property tax is the total value of all taxable property in a jurisdiction, such as a city or county. This tax base is used to calculate the amount of property tax revenue that can be collected.

However, not all property is subject to property tax. Some types of property may be exempt from property taxes, such as government-owned property, religious properties, or properties used for charitable purposes. The value of exempt property is subtracted from the total tax base to determine the taxable value of property, which is then used to calculate the amount of property tax revenue that can be obtained.

Therefore, the source from which property tax revenue can be obtained is the value of the total tax base less the value of property that is exempt from property taxes.

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First term (a1) = -7

Second term (a2) = -2

Common difference: a2 - a1 = -2-(-7) = 5

Hence, Fifth term = a1 + 4d = -7 + 4(5) = 13