How do you convert a percentage into a number that would be the rough estimate for how many times it could take to get something? Example being: 0.01% = 1 in 100,000

True.

The determinant  of a matrix A is defined as the scaling factor of the linear transformation determined by A.

The determinant  of a matrix A is defined as the scaling factor of the linear transformation determined by A. Geometrically, the absolute value of the determinant of a matrix A can be interpreted as the factor by which the linear transformation determined by A changes the volume of a unit cube.

Consider the columns of A as vectors in n-dimensional space. The parallelepiped determined by the columns of A is the n-dimensional generalization of a parallelogram in two dimensions or a parallelepiped in three dimensions. The volume of this parallelepiped can be computed as the absolute value of the determinant of A.

To see why this is true, consider the special case of a 2x2 matrix A:

```
A = [[a, c],
[b, d]]
```

The columns of A are the vectors `[a, b]` and `[c, d]`. The parallelogram determined by these vectors has area equal to the absolute value of the determinant of t of

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The value of c in the given function  f(x)={-x³, xc}  that makes the function f(x) continuous is calculated to be c = -1.

For the function f(x) to be continuous, it must be true that:

lim x→c- f(x) = lim x→c+ f(x) = f(c)

Let's first find lim x→c- f(x):

lim x→c- f(x) = lim x→c- (-x³) = -c³

Now, let's find lim x→c+ f(x):

lim x→c+ f(x) = lim x→c+ (xc) = c²

For f(x) to be continuous, it must be true that:

-c³ = c²

Multiplying both sides by -1, we get:

c³ = -c²

Dividing both sides by c² (note that c cannot be 0), we get:

c = -1

Therefore, the value of c that makes the function f(x) continuous is c = -1.

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The value of tan I = √12/9

To determine the value of tan I from the diagram, we have to take note of the different trigonometric identities in mathematics;

These includes;

Also, the ratios of these identities are;

sin θ = opposite/hypotenuse

cos θ = adjacent/hypotenuse

tan θ = opposite/adjacent

From the information given, we have;

Substitute the values

Opposite = √12

Adjacent = 9

Now, add the values, we get

tan I = √12/9

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The slope and y-intercept are 4.5 and 25 respectively.

A graph of the equation for the total shipping charges is shown below.

In Mathematics and Geometry, the slope-intercept form of the equation of a straight line is given by this mathematical expression;

y = mx + c

Where:

Based on the information provided about this freight company, the total shipping charges are given by;

C = 4.5n + 25

By comparison, we have the following:

Slope, m = 4.5.

y-intercept = 25.

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Using the empirical rule, we can estimate that 68% of the boys having height between 65 and 69 inches.

Since the heights of the student body are normally distributed, we can use the empirical rule to estimate the percentage of boys who are between 65 and 69 inches tall.

The empirical rule states that for a normal distribution:

Approximately 68% of the data falls within one standard deviation of the mean.

Approximately 95% of the data falls within two standard deviations of the mean.

Approximately 99.7% of the data falls within three standard deviations of the mean.

Since the mean height is 67 inches and the standard deviation is 2 inches, we can use this information to estimate the percentage of boys who are between 65 and 69 inches tall:

65 inches is 1 standard deviation below the mean (since 67 - 2 = 65).

69 inches is 1 standard deviation above the mean (since 67 + 2 = 69).

Therefore, using the empirical rule, we can estimate that 68% of the boys are between 65 and 69 inches tall.

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The calclated length of segment OG is 8 units

From the question, we have the following parameters that can be used in our computation:

DG = 4√5

DO = 4.

The length OG is calculated as

OG^2 = DG^2 - DO^2

substitute the known values in the above equation, so, we have the following representation

OG^2 = (4√5)^2 - 4^2

Evaluate

OG^2 = 64

So, we have

OG = 8

Hence, the solution is 8

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Answer: -1/3-(-3/5)=4/15

Step-by-step explanation:

P.S i'm emo

The information as shown in a pie chart is found in the attachment.

The population of England is 49.8 million.

The population of England is calculated as a percentage of the total population of the United Kingdom.

The data table given shows that England has 83% of the UK population and the total population of the UK is 60 million.

Hence, the population of England is calculated as follows:

The population of England = 83% of 60 million

The population of England = (83/100) x 60,000,000

The population of England = 49,800,000

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Answer:

4 units left

Step-by-step explanation:

Since you are changing the x value by negative 4, you move left towards the negatives 4 units.

Answer:  if the input value 55 were included in the table, we would expect the rule to assign an output value of 265. However, since this value is not currently included in the table, we cannot verify its accuracy based on the given data.

Step-by-step explanation: a. To complete the table using the equation y = 5x - 10, we can substitute each input value of x into the equation and solve for the corresponding output value of y:

Input, x Output, y

10 40

Copy code

2    |     0

-10 | -60

20 | 90

64 | 310

15 | 65

10 | 40

64 | 310

10 | 40

40 | 190

30 | 140

96 | 470

20 | 90

90 | 440

40 | 190

64 | 310

50 | 240

32 | 150

30 | 140

b. If the table included the input value 55, we can use the same equation to find the corresponding output value:

y = 5x - 10

y = 5(55) - 10

y = 275 - 10

y = 265

Therefore, if the input value 55 were included in the table, we would expect the rule to assign an output value of 265. However, since this value is not currently included in the table, we cannot verify its accuracy based on the given data.

In this scenario, we need to identify the null and alternative hypotheses. The null hypothesis represents the status quo or the current belief, while the alternative hypothesis represents the claim or what we want to test against the null hypothesis.

H0: The average time for Master's students to graduate is 4.9 years.
Ha: The average time for Master's students to graduate is less than 4.9 years (alternative hypothesis).

The null hypothesis (H₀) states that the average time it takes for students to graduate with a Master's degree is 4.9 years. The alternative hypothesis (Hₐ) represents the claim made by the dean, which is that Master's students at his university graduate earlier than 4.9 years.

So, the null and alternative hypotheses can be written as:

H₀: μ = 4.9
Hₐ: μ < 4.9

where μ represents the average time it takes for students to graduate with a Master's degree at the dean's university.

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The three possibilities that Damon can use as the common factor for equivalent expression are y(5xz + 3z + 2x), z(5xy + 3y + 2x) and  xy(5z + 3 + 2z).

To discover a common figure for 60xyz+36yz+24xy, we have to be discover the Greatest Common Factor (GCF) of the coefficients 60, 36, and 24, and the factors x, y, and z.

The GCF of the coefficients 60, 36, and 24 is 12. Able to calculate out 12 from each term:

60xyz+36yz+24xy = 12(5xyz + 3yz + 2xy)

Presently, we ought to discover a common calculate for the remaining components, 5xyz + 3yz + 2xy. Here are three conceivable outcomes:

Calculate out y:

5xyz + 3yz + 2xy = y(5xz + 3z + 2x)

Calculate out z:

5xyz + 3yz + 2xy = z(5xy + 3y + 2x)

Calculate out xy:

5xyz + 3yz + 2xy = xy(5z + 3 + 2z)

So, Damon may utilize any of these three conceivable outcomes as the common calculate for an proportionate expression.

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The original loan amount by the given rate was 38,000.

We are given that;

Cost of loan= 561.60

Rate= 9%

Now,

To use the PV function, we need to convert the interest rate and the loan term to monthly values.

The interest rate per month is 9% / 12 = 0.75%.

The number of payments is 8 * 12 = 96.

The payment amount is 561.60

The PV function would be:

=PV(0.75%, 96, -561.60)

=38,000.

Therefore, by the simple interest the answer will be 38,000.

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B. The statement is false. The transpose of the product of two matrices is the product of the transposes of the individual matrices in reverse order, or (AB)^T=B^TA^T.

Justification:
1. Let A and B be arbitrary matrices for which the product AB is defined.
2. To find the transpose of the product (AB)^T, we need to first understand the properties of transposes.
3. According to the property of transposes, (AB)^T is equal to the product of the transposes of the individual matrices in reverse order.
4. So, (AB)^T = B^TA^T, which contradicts the statement (AB)^T = A^TB^T.

Hence, the correct answer is option B.

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Distance and recession velocity the Hubble relation links two characteristics of distant objects in the universe:

their redshift and their distance from Earth. This relationship is crucial for understanding the expansion of the universe, as it helps us measure the distances to faraway celestial objects and study their motion relative to us.

What are Distance Sensors?

Distance sensors, as the name implies, are used to determine the distance of an object from another object or barrier without the use of physical touch (unlike a measuring tape, for example).

What is the sensor equation?

The sensor size may be estimated by multiplying the pixel size by the resolution along each of the two dimensions. The focal length may be computed using the formula: Focal Length x FOV = Sensor Size x Working Distance.

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The probability that the team will have exactly 8 turnovers during a game is approximately 0.035 or 3.5%.

Given that the number of turnovers per game follows the Poisson distribution and the team averaged 18 turnovers per game, we can use the Poisson distribution formula to find the probability of the team having exactly 8 turnovers during a game.

The Poisson distribution formula is: P(X = x) = (e^-λ * λ^x) / x!, where λ is the average number of turnovers per game and x is the number of turnovers we want to find the probability for.

a. Using the given information, we have: λ = 18 and x = 8.

Plugging these values into the formula, we get:

P(X = 8) = (e^-18 * 18^8) / 8!

Using a calculator, we can simplify this to:

P(X = 8) ≈ 0.035

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The probability that the sum of two rolls is 9 given that there is at least one 6 rolled is 1/11 or approximately 0.09. To see why, we can use conditional probability. Let A be the event that there is at least one 6 rolled, and let B be the event that the sum of two rolls is 9. We want to find P(B|A), the probability of B given A.

First, let's find P(A), the probability of rolling at least one 6. The only way to not roll a 6 is to roll two non-6 numbers, which has a probability of (5/6)*(5/6) = 25/36. So the probability of rolling at least one 6 is 1 - 25/36 = 11/36.

Next, let's find P(B and A), the probability of rolling a 9 and at least one 6. There are four ways to roll a 9: (3,6), (4,5), (5,4), and (6,3). In each case, one of the dice is a 6, so the probability of rolling a 9 and at least one 6 is 4/36.

Finally, we can use the formula

[tex]P(B|A) = P(B and A) / P(A)[/tex]

to find the desired probability:

[tex]P(B|A) = P(B and A) / P(A)[/tex] = (4/36) / (11/36) = 4/11

So the probability that the sum of two rolls is 9 given that there is at least one 6 rolled is 4/11 or approximately 0.09.

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Step-by-step explanation:

There are  5 p 5 = 120 ways to line up    ( = 5!)

   only ONE will be shortest to tallest

1/120

From Week 3 to Week 5, Gym A membership increases at a rate of 32 people per week,  and Gym B membership increases at a rate of 34 people per week. So, Gym B is growing faster.

The average rate of change of a function is given by the change in the output of the function divided by the change in the input of the function. Hence we must identify the change in the output, the change in the input, and then divide then to obtain the average rate of change.

From Week 3 to Week 5, the change in the input is given as follows:

5 - 3 = 2.

From the table for Gym A and graph for Gym B, the change in the output for each gym is given as follows:

Hence the rates are given as follows:

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The width of the original piece of sheet metal is (w^2 - l^2)/(3w + 3l), and the length is (l^2 - w^2)/(3w + 3l).

To solve this problem, we can use the formula for the volume of a rectangular box, which is V = lwh, where l is the length, w is the width, and h is the height.

First, let's find the height of the box. Since we cut squares from each corner, the height of the box is the length of the square that was cut out. Let's call this length x.

The width of the box is the original width minus the lengths of the two squares that were cut out, which is w - 2x.

Similarly, the length of the box is the original length minus the lengths of the two squares that were cut out, which is l - 2x.

Now we can write the volume of the box in terms of x, w, and l:

V = (w - 2x)(l - 2x)(x)

Expanding this expression, we get:

V = x(4wl - 4wx - 4lx + 8x^2)

Simplifying further:

V = 4x^3 - 4wx^2 - 4lx^2 + 4wlx

To find the dimensions of the original piece of sheet metal, we need to maximize this volume. We can do this by taking the derivative of the volume with respect to x and setting it equal to zero:

dV/dx = 12x^2 - 8wx - 8lx + 4wl = 0

Solving for x, we get:

x = (2wl)/(3w + 3l)

Now we can use this value of x to find the width and length of the original piece of sheet metal:

w - 2x = w - 2(2wl)/(3w + 3l) = (w^2 - l^2)/(3w + 3l)

l - 2x = l - 2(2wl)/(3w + 3l) = (l^2 - w^2)/(3w + 3l)

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The median of the set of numbers after arranging them in order from least to greatest {0.6, 0.9, 1.7, 1.1, 2.5, 0.6} is 1.

To find the median of a set of numbers, we need to first arrange them in order from least to greatest.

The set of numbers given is 0.6, 0.9, 1.1, 1.7, 2.5, and 0.6.

Arranging them in order, we get 0.6, 0.6, 0.9, 1.1, 1.7, 2.5.

Since there are six numbers in this set, the median is the middle number when they are arranged in order. In this case, the middle numbers are 0.9 and 1.1. To find the median, we take the average of these two numbers:

Median = (0.9 + 1.1)/2 = 1.

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Step-by-step explanation:

0.6,0.6,0.9,1.1,1.7,2.5

The median is 0.9+1.1 / 2

2 /2 = 1

the median of the distribution is 1

The equation in point slope form is y -6 = 3(x + 3)

(x₁, y₁) = (-3, 6)

(x₂, y₂) = (-2, 9)

Slope of the line,

m = (y₂ - y₁)/(x₂ - x₁)

m = (9 - 6)/(-2 - -3)

m = 3

Therefore, the equation in point slope form is given as,

(y - y₁) = m(x - x₁)

y - 6 = 3(x - -3)

y -6 = 3(x + 3)

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The exact value of x that will allow the greatest amount of light to be admitted is 2 feet. This will give us a window with dimensions 2 feet by 2 feet, which has an area of 4 square feet.

Let's assume that the window is a rectangle, which means that opposite sides are equal in length. If the perimeter of the window is 8 feet, that means that the sum of all four sides is 8 feet.

Let's label the length of the two horizontal sides as x, and the length of the two vertical sides as y. That means that:

2x + 2y = 8

Simplifying that equation, we get:

x + y = 4

Now, we want to find the exact value of x that will allow the greatest amount of light to be admitted. We know that the area of a rectangle is length x width, so in this case:

Area = x * y

We want to maximize this area, so we need to express y in terms of x using the equation we derived earlier:

y = 4 - x

Substituting that into the area equation, we get:

Area = x * (4 - x)

Expanding that equation, we get:

Area = 4x - x^2

To maximize this area, we need to find the value of x that will give us the maximum value of Area. We can do this by taking the derivative of the area equation and setting it equal to zero:

d(Area)/dx = 4 - 2x = 0

Solving for x, we get:

x = 2

Substituting this value of x back into the equation for y, we get:

y = 4 - 2 = 2

So the exact value of x that will allow the greatest amount of light to be admitted is 2 feet. This will give us a window with dimensions 2 feet by 2 feet, which has an area of 4 square feet.

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Answer:

The answer to your problem is:

A = central tendency

B = extreme values

C = mean

D = median

E = mode

F = range

Step-by-step explanation:

Technically by looking at the question you can actually see the answer.

Definitions of; mean range median mode extreme values central tendency.

How to find mean: dividing the sum of all values in a data set by the number of values.

How to find range: first put all the numbers in order. Then subtract (take away) the lowest number from the highest.

How to find the median: ordering all data points and picking out the one in the middle

How to find the mode: put the numbers in order from least to greatest and count how many times each number occurs

How to find the extreme values: easy, just find the biggest value of the set.

How to find the central tendency: add up all the numbers in a set of data and then divide by the number of items in the set

Thus the answer to your problem is:

A = central tendency

B = extreme values

C = mean

D = median

E = mode

F = range

A plane intersects a cylinder perpendicular to its bases this cross section can be described as a rectangle. Therefore, the correct answer is option 1).

The cross section of a plane intersecting a cylinder perpendicular to its bases is a rectangle. This is because when a plane intersects a cylinder perpendicularly (at right angles) the cross-section area has the shape of a rectangle. The base of the rectangle is determined by the diameter of the cylinder and the height is determined by the length of the cylinder.

A parabola, triangle, and circle are not possible when the plane intersects the cylinder perpendicularly since their shapes cannot accurately represent the intersection of two geometric shapes.

Therefore, the correct answer is option 1).

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The correct statement regarding the domain and the range of the exponential function is given as follows:

An exponential function has the definition presented as follows:

[tex]y = ab^x[/tex]

In which the parameters are given as follows:

The function is in the standard format, meaning that the horizontal asymptote is y = 0, and thus the multiplication of a by zero does not change the horizontal asymptote, and the range stays the same.

The domain also remains the same, as an exponential function is defined for all real values.

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0.056 is  the probability of the Islanders winning at most two out of five games

Use the binomial probability formula:

P(X ≤ 2) = P(X = 0) + P(X = 1) + P(X = 2)

where X is the number of successes in five trials.

The probability of getting zero successes (the Islanders losing all five games) is:

P(X = 0) = (1 - 0.69)⁵ = 0.00028 (rounded to 3 decimal places)

The probability of getting one success (the Islanders winning one game and losing four) is:

P(X = 1) = ⁵C₁ * 0.69¹ * (1 - 0.69)⁴ = 0.0067 (rounded to 3 decimal places), where 5C1 is the binomial coefficient, which represents the number of ways to choose one success out of five trials.

The probability of getting two successes (the Islanders winning two games and losing three) is:

P(X = 2) = ⁵C₂ * 0.69² * (1 - 0.69)³ = 0.0495 (rounded to 3 decimal places).

Therefore, the probability of the Islanders winning at most two out of five games is:

P(X ≤ 2) = 0.00028 + 0.0067 + 0.0495 = 0.056 (rounded to 3 decimal places).

So, the probability of the Islanders winning at most two out of five games is approximately 0.056.

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The first term of the geometric series is 16.

Using the formula for the sum of a geometric series to solve for the first term (a₁):

Sn = a₁(1 - rⁿ)/(1 - r)

Substituting the given values, we get:

-26,240 = a₁(1 - (-3)⁸)/(1 - (-3))

Simplifying the exponent and denominator, we get:

-26,240 = a₁(1 - 6,561)/(4)

-26,240 = a₁(-6,560/4)

-26,240 = a₁(-1,640)

Dividing both sides by -1,640, we get:

a₁ = 16

Therefore, the first term of the geometric series is 16.

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Euler's method is useful when analytical solutions are impossible to obtain, quick estimate is required, we need to understand general behavior of system and numerical method.

Euler's method is a numerical approach to approximating the particular solution of a differential equation that passes through a particular point. This method is useful when:

1. Analytical solutions are difficult or impossible to obtain for the given differential equation.
2. A quick estimate of the solution is needed with a reasonable degree of accuracy.
3. You want to understand the general behavior of the system modeled by the differential equation.
4. You need a numerical method that is easy to implement and understand.

In such cases, Euler's method provides an efficient and straightforward way to approximate the solution to the differential equation.

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The Explanation for product of powers rule works and multiply exponents when raising a power to a power is shown below.

1. We know,

When the terms with the same base are multiplied, the powers are added.

So, 7² x 7³

Here the base is same (7) and multiplication applied here then the powers get added.

So, [tex]7^{2+3[/tex]

= [tex]7^5[/tex]

2. Now, According to the power to the power rule, when a base is raised to a higher power, the two powers are multiplied while the base stays the same.

So, (7²)³

= [tex]7^{2 .3}[/tex]

= [tex]7^6[/tex]

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