A couple paid off their $234,000 mortgage in 5 years and are on track to be millionaires in their 30s. Here are the savings and investment strategies they use.

The given statement, "In a contingency table, when all the expected frequencies equal the observed frequencies the calculated statistic equals zero" is true because when all the expected frequencies equal the observed frequencies, the calculated statistic equals zero.

A contingency table is a table used in statistics that shows the distribution of one variable in rows and another variable in columns. It is also known as a cross-tabulation table or a two-way frequency table. In a contingency table, expected frequencies are calculated based on the assumption that there is no association between the variables being analyzed.

Observed frequencies, on the other hand, are the actual frequencies of the data being analyzed. When all the expected frequencies in a contingency table are equal to the observed frequencies, it means that there is no association between the variables, and the calculated statistic equals zero. This is because the difference between the observed and expected frequencies is used to calculate the statistic, and if there is no difference, the statistic will be zero.

Therefore, the statement "In a contingency table, when all the expected frequencies equal the observed frequencies the calculated statistic equals zero" is true.

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Answer:

Well, the answer is: it depends on what was printed in the problem. The principal square root symbol never has a negative output, so if the test maker printed that symbol, it’s restrictions have to be respected: all square roots then are positive.

Step-by-step explanation:

a number y whose square (the result of multiplying the number by itself, or y ⋅ y) is x. For example, 4 and −4 are square roots of 16, because 4² = (−4)² = 16. Every nonnegative real number x has a unique nonnegative square root, called the principal square root, which is denoted by √(x), where the symbol √( ) is called the radical sign or radix.

Answer/Step-by-step explanation:

The square root could be positive or negative because multiplying two negative numbers gives a positive number. The principal square root is the nonnegative number that when multiplied by itself equals a. The square root obtained using a calculator is the principal square root.

Answer:

please can u send me this question again

because I did not understood this question

Answer:

13

Step-by-step explanation:

The Z-score for 12 is -0.83.

Z-score is a statistical measurement that describes a value's relationship to the mean of a group of values. Z-score is measured in terms of standard deviations from the mean. If a Z-score is 0, it indicates that the data point's score is identical to the mean score.

The formula for calculating the Z-score of a data point x in a sample with mean μ and standard deviation σ is:

Z = (x - μ) / σ

Substituting the given values, we get:

Z = (12 - 17) / 6

Z = -0.83 (rounded to two decimal places)

Therefore, the Z-score for 12 in the given sample of data values is -0.83 (to the nearest 0.01).

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Answer:

\(x=1\)

Step-by-step explanation:

Step 1:  Cross-Multiply

What cross multiply basically means is that you take both sides of the equation and you multiply my the opposite sides.  So you take the top of the left fraction and multiply it by the bottom of the right fraction.  You then have an equal sign and then have the bottom of the left fraction multiplied by the top of the right fraction.

\(\frac{2}{7}=\frac{6x}{4x+17}\)

\(2(4x+17)=7(6x)\)

Step 2:  Distribute

\(2(4x+17)=7(6x)\)

\((2*4x)+(2*17)=(7*6x)\)

\(8x+34=42x\)

Step 3:  Subtract 8x from both sides

\(8x + 34- 8x = 42x - 8x\)

\(34=34x\)

Step 4:  Divide both sides by 34

\(34/34 = 34x/34\)

\(1=x\)

Answer:  \(x=1\)

we have that

Part 1

Remember that breakpoint is when the revenue (R) is equal to the cost (C)

so

C=7x+30,000

R=10x

equate both equations

10x=7x+30,000

solve for x

10x-7x=30,000

3x=30,000

x=10,000 units

Part 2

net profit of $ 21,000

so

R-C=21,000

10x-(7x+30,000)=21,000

10x-7x-30,000=21,000

3x=21,000+30,000

3x=51,000

Part 3

net profit equal to $ 60,000

so

R-C=60,000

10x-(7x+30,000)=60,000

10x-7x-30,000=60,000

3x=60,000+30,000

3x=90,000

The probability that the last passenger end up in his/her assigned seats is 0.20.

In the given question, there are 6 people in line to board a plane with 6 seats.

The first person has lost his boarding pass, so he takes a random seat.

Everyone that follows takes their assigned seat if it's available, but otherwise takes a random unoccupied seat.

We have to find the probability the last passenger ends up in his/her assigned seat.

Given 6 people with 6 Seats.

The probability that the last passenger end up in his/her assigned seats = 1/5

The probability that the last passenger end up in his/her assigned seats = 0.20.

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42 kilograms are equal to 6.6 stones.

A unit is a common element used to quantify similar physical quantities.

As per the given data:

1 kilogram = 2.2 pounds

1 stone = 14 pounds

For converting 42 kilogram to stones:

42 kilogram = 2.2 × 42 pounds

= 92.4 pounds

1 pound = (1/14) stone

= 92.4 × (1/14) stones

= 6.6 stones

Hence, 42 kilograms are equal to 6.6 stones.

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Answer:

90 minutes if the 3 copiers are copying 1000 copies too.

Step-by-step explanation:

a) True, b) False, c) False, d) True, e) False, f) False, g) True

a) The statement is true. The symbol "∅" represents the empty set, which does not contain any elements. Since 0 is not an element of the empty set, the statement "0 ∈ ∅" is false.

b) The statement is false. The symbol "{0}" represents a set containing the element 0. The empty set, represented by "∅", does not contain any elements. Therefore, the empty set is not an element of the set {0}.

c) The statement is false. The symbol "{0}" represents a set containing the element 0. However, the empty set, represented by "∅", does not contain any elements. Therefore, the set {0} is not a subset of the empty set.

d) The statement is true. The empty set, represented by "∅", does not contain any elements. Every set is a subset of the empty set, including the set {0}.

e) The statement is false. The symbol "{0}" represents a set containing the element 0. In this case, {0} is not an element of itself. Therefore, the statement "{0}∈{0}" is false.

f) The statement is false. The symbol "{0}" represents a set containing the element 0. In this case, {0} is not a proper subset of itself. Therefore, the statement "{0}⊂{0}" is false.

g) The statement is true. The symbol "{∅}" represents a set containing the empty set. In this case, {∅} is a subset of itself because it contains the element ∅. Therefore, the statement "{∅} ⊆ {∅}" is true.

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Answer:

n=225

Step-by-step explanation:

9 x n/5 = 9 divided by n/5

write 9/n/5 as 9 x 5/n

multiply the right side to get 9/1 times 5/n = 45/n

9n/5 = 45/n

multiple both sides by 5 to get    9n=225/9

divide both sides by 9

n= 2025/9

n=225

Answer:

Q1 35,145 145 Q2 27,153,153

Step-by-step explanation:

As opposite angles are the same.So for example on Q1, 35+35= 70

360-70=290

290÷2= 145

The measure of angle are:

<X= 145

<Y= 35

<Z =145

<U= 153

<V= 27

<W= 153

An angle is formed when two straight lines or rays meet at a common endpoint.

Given:

angle <1 = 35

<Y = 35 (Vertically opposite angle)

<X + 35 = 180 (Linear pair)

<X = 145

<Z = <X = 145 (Vertically opposite angle)

Now,

<V = 27 (Vertically opposite angle)

<U + 27 = 180 (Linear pair)

<U = 153

<U= <W =153 (Vertically opposite angle)

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Data:

• Odds in favor of a win are given as 67 to 33.

Procedure

• We have to find the total sample (,T,), which can be calculated as follows:

Then, to calculate the probability, we have to divide the odds in favor of a win by T.

Answer: 0.67

The length of the river in real life is 600000.

A map's scale is the ratio of a distance on the map to its equivalent distance on the ground. The curvature of the Earth's surface complicates this simple concept by forcing scale to vary across a map. Because of this variation, the concept of scale takes on two distinct meanings.

From the information, the scale on a map is 1 : 300,000 and the length of a river on the map is 2 cm.

In this case, the length on real life will be calculated thus:

= 2 ×300000

= 600000

It is 600000 in real life.

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Answer: C/ three times a number x fewer than seven.

Step-by-step explanation:

3x - 7 is basically (3 x number) minus seven and by looking at the answer choices C is correct because it says 3 times a number (x) then fewer seven which means minus seven. It wouldn't be B because it is not 3-7 and then multiply, that would give a totally different answer.

The indicated angles in the parallel lines cut by the transversal are as follows:

When parallel lines are cut by a transversal line, angle relationships are formed such as corresponding angles, alternate interior angles, linear angles, vertically opposite angles, alternate exterior angles etc.

Therefore, according to the diagram the two parallel lines are cut by a transversal. Let's use the angle relationships to find the m ∠1 and m∠3.

m ∠6 = 78 degrees.

m ∠1 = m ∠ 7 (alternate exterior angles)

Alternate exterior angles are congruent.

Hence,

m ∠7 = 180 - 78 = 102 degrees

m ∠ 1 = 102 degrees

m ∠ 1 = m ∠ 3 (vertically opposite angles)

vertically opposite angles are congruent.

m ∠ 3 = 102 degrees.

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Given that lim f(x) = 0 and lim g(x) = 0, we can use the product rule of limits to find lim [f(x)g(x)]. Overall, we have:
lim [f(x)g(x)] = 0, lim [g(f(x))] = 7 / [1 + 3^(1/2)].

We have:
lim [f(x)g(x)] = lim f(x) × lim g(x) (as long as both limits exist)
                 = 0 × 0
                 = 0
Next, we can use the chain rule of limits to find lim [g(f(x))]. We have:
lim [g(f(x))] = lim g(u) as u → 0 (where u = f(x))
               = lim g(f(x)) as x → c (where c is some constant)
Now, we're given that lim 9'(x) = 7 and x lim f'(x) = 4. We can use these to find lim g(u) as u → 0. We have:
lim g(u) = lim 9'(x) / [1 + (1 + x)^(1/2)] as x → 4 (by substitution)
        = 7 / [1 + (1 + 4)^(1/2)]
        = 7 / [1 + 3^(1/2)]
Finally, we can substitute this value back into our expression for lim [g(f(x))] to get:
lim [g(f(x))] = lim g(u) as u → 0
              = 7 / [1 + 3^(1/2)] as u → 0 (by substitution)
              = 7 / [1 + 3^(1/2)] (since the limit is independent of u)
So, overall, we have:
lim [f(x)g(x)] = 0
lim [g(f(x))] = 7 / [1 + 3^(1/2)]

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The equation of the curve that passes through the point (0, 1) and has a slope of 5xy at any point (x, y) is y = (5/2) * x^2y + 1. This equation represents a curve where the y-coordinate is a function of the x-coordinate, satisfying the conditions.

To determine an equation of the curve that satisfies the conditions, we can integrate the slope function with respect to x to obtain the equation of the curve. Let's proceed with the calculations:

We have:

Point: (0, 1)

Slope: 5xy

We can start by integrating the slope function to find the equation of the curve:

∫(dy/dx) dx = ∫(5xy) dx

Integrating both sides:

∫dy = ∫(5xy) dx

Integrating with respect to y on the left side gives us:

y = ∫(5xy) dx

To solve this integral, we treat y as a constant and integrate with respect to x:

y = 5∫(xy) dx

Using the power rule of integration, where the integral of x^n dx is (1/(n+1)) * x^(n+1), we integrate x with respect to x and get:

y = 5 * (1/2) * x^2y + C

Applying the initial condition (0, 1), we substitute x = 0 and y = 1 into the equation to find the value of the constant C:

1 = 5 * (1/2) * (0)^2 * 1 + C

1 = C

Therefore, the equation of the curve that passes through the point (0, 1) and has a slope of 5xy at any point (x, y) is:

y = 5 * (1/2) * x^2y + 1

Simplifying further, we have:

y = (5/2) * x^2y + 1

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Using it's concept, it is found that there is a 0.3043 = 30.43% probability of at least one O-ring failing.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, of the 23 flights, 7 had at least one failure, hence the probability is given by:

p = 7/23 = 0.3043.

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The left y-axis of the graph typically represents the values of the data that is being plotted.

The left y-axis of any graph normally represents the values of the data shown on the graph. This can be any type of data, such as numerical values, percentages, or even categorical data. The values are typically shown on the vertical axis on the left side of the graph.

The left y-axis of any graph is used to display the values of the data that is being plotted. The values are usually represented in numerical form, but may also be percentages or categorical data. The vertical axis on the left side of the graph is used to display these values. The left y-axis is important to understanding the data being shown, as it helps to contextualize the graph and provide a sense of scale. By looking at the left y-axis, viewers can quickly get an idea of the range of values that the data is displaying.

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Answer:

10

Step-by-step explanation:

Answer:

Step-by-step explanation:

f(x) = x2  ...  when 'x' is equal to 5

So...

1.) Plug in 5 for the variable 'x'

f(5) = (5) * (2)

2.) Simplify both sides of the equation

5f = 10

3.) Divide both sides by 5

5f /5  =  10/5

f = 2

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Hope I helped!!!

GL :)

The maximum tracking error is for Observation #7

The Tracking errors are as below: [see in attachemet 1]

The calculations are shown using the below formulas:  [see in attachemet 2]

The maximum tracking error is for Observation #7 , which is 1.9

Tracking error rates for classic active managers typically range from 4% to 7%. Tracking mistakes of 10% to 15% are possible for active managers who are ready to place larger bets away from an index. The tracking errors of absolute return, benchmark-free methods may be substantially larger.

A measurement of how closely a fund follows its benchmark throughout an investing term is called tracking error. It is a volatility indicator. While a significant tracking error suggests the opposite, a modest tracking error suggests that the passive fund will often follow its benchmark quite closely throughout.

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The measure of angle a is 15 degrees and this can be determined by using the properties of the isosceles triangle.

In geometry, interior angles are formed in two ways. One is inside a polygon, and the other is when parallel lines cut by a transversal. Angles are categorized into different types based on their measurements.

Given:

The following steps can be used in order to determine the measure of angle a:

Step 1 - According to the given data, it can be concluded that triangle PQR and triangle PSR are isosceles triangles.

Step 2 - Apply the sum of interior angle property on triangle PQR.

\(\angle\text{Q}+\angle\text{P}+\angle\text{R}=180\)

\(\angle\text{Q}+2\angle\text{R}=180\)

\(2\angle\text{R}=180-60\)

\(\angle\text{R}=60^\circ\)

Step 3 - Now, apply the sum of interior angle property on triangle PSR.

\(\angle\text{P}+\angle\text{S}+\angle\text{R}=180\)

\(\angle\text{S}+2\angle\text{R}=180\)

\(2\angle\text{R}=180-90\)

\(\angle\text{R}=45^\circ\)

Step 4 - Now, the measure of angle a is calculated as:

\(\angle\text{a}=60-45\)

\(\angle\text{a}=15\)

The measure of angle a is 15 degrees.

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The minimum distance the annihilation event could have occurred from the center of the machine is approximately 98.94 nanometers.

To determine the minimum distance the annihilation event could have occurred from the center of the machine, we can use the speed of light as a constant and the time difference between the collisions of the gamma rays.

The speed of light in a vacuum is approximately 299,792,458 meters per second (m/s).

Since the time difference between the collisions of the gamma rays is given as 0.33 nanoseconds, we need to convert this time to seconds. One nanosecond is equal to 1 × 10⁻⁹seconds.

0.33 nanoseconds is equal to 0.33 × 10⁻⁹ seconds.

Now, we can calculate the minimum distance using the equation:

Distance = Speed of light × Time

Distance = 299,792,458 m/s × 0.33 × 10⁻⁹ seconds

Distance ≈ 98.94 nanometers

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The unit price of the pairs of gloves is $6.39 per pair.

A unit rate is a rate that has a denominator of 1. It is a rate in which the second quantity in the comparison is 1 unit.

To find the unit price of the pairs of gloves, we need to divide the total cost by the number of pairs of gloves.

If 6 pairs of insulated gloves cost $38.34, then the cost of 1 pair of gloves is:

$38.34 ÷ 6 = $6.39 per pair

Hence, the unit price of the pairs of gloves is $6.39 per pair.

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To find the area of the region bounded by the two curves y = x^2 - 3 and y = -22, we need to determine the points of intersection and calculate the definite integral.

Step 1: Finding the points of intersection:

To find the points where the two curves intersect, we set the two equations equal to each other and solve for x: x^2 - 3 = -22

Rearranging the equation, we get:  x^2 = -19

Since the equation has no real solutions (taking the square root of a negative number), the two curves do not intersect, and there is no region to calculate the area for. Therefore, the area of the region is 0. Explanation of the Fundamental Theorem of Calculus The Fundamental Theorem of Calculus is used to evaluate definite integrals. It states that if F(x) is an antiderivative of f(x) on an interval [a, b], then the definite integral of f(x) from a to b is equal to F(b) - F(a). In other words, it allows us to find the area under a curve by evaluating the antiderivative of the function and subtracting the values at the endpoints.

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Answer:

If it's AL to A'L' then its 1/2

If it's A'L' to AL then its 2

Answer:

I can assist you in ur math.

Answer:

ask a question man! please