When playing a game Emily had six more properties than Terry together they owned at least twenty of the properties. What is the smallest number of properties that Terry had

Answer:

1/5

Step-by-step explanation:

Answer:

C. Use a compass and draw an arc across both the legs of the given angle.

Step-by-step explanation:

Answer:

as the situation shows the formula

\((a + b) ^{2} \)

so the value of K is 1

Answer:

\(A=\frac{2d-g^3}{h}\)

Answer:

6+3

Step-by-step explanation:

Since it is a right triangle, we can use the Pythagorean Theorem. This one states that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse. In algebraic notation:

So, in this case, we have:

Therefore, the measure of the other leg rounded to the nearest hundredth is 11.49 centimeters.

Answer:

5 times

Step-by-step explanation:

Jenna wil most likely pull a yellow marble 1/3 of the time, because the total number of marbles is 6, and there are 2 yellow marbles, 2/6 which is 1/3. 1/3 times 15 is 5. So Jenna will most likely pull a yellow marble 5 times.

Based on the given data, the process is out of control.

To determine if the process is still in control, we need to compare the new sample measurements to the control limits established in the X-bar and R control charts.

For the X-bar chart:

The UCL (Upper Control Limit) is calculated as the grand average (X-Double Bar) plus A2 times R-Bar:

UCL = 25 + (0.483 * 5) = 27.415

The LCL (Lower Control Limit) is calculated as the grand average (X-Double Bar) minus A2 times R-Bar:

LCL = 25 - (0.483 * 5) = 22.585

For the R chart:

The UCL (Upper Control Limit) for the R chart is calculated as D4 times R-Bar:

UCL = 2.004 * 5 = 10.020

The LCL (Lower Control Limit) for the R chart is 0.

Given the new sample measurements: 33, 37, 25, 35, 34, and 32, we can determine if any of the measurements fall outside the control limits. If any data point falls outside the control limits, it indicates that the process is out of control.

Upon comparing the new sample measurements to the control limits, we find that the measurement 37 exceeds the UCL of the X-bar chart. Therefore, the process is considered out of control.

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Answer: $ 1361.04

Step-by-step explanation:

Discount will be 1060 * 20% = 212

Sales price 1060 + 212 = 1272

Tax 7% = 89.04

Kelly paid 1272 + 89.04 = 1361.04

Answer:

Mark them in a gtaph paper.

Step-by-step explanation:

Tke a graph paper and draw the x and y axis in the middle of the graph.

If u hv learned coordinates mark the points and count the boxes in between.

That will be ur answer

Thank me later

The required  limit of f(x) as x approaches 7 is -2.

The given table and the limit can be completed as shown below:\(x 6.9 6.99 6.999 7.001 7.01 7.1f(x) 61.61 60.8393 60.8039 60.8041 60.8389 61.61limit x → 7 f(x) = [latex]\color{blue}\text{-2}[/latex].\)

In the given problem, we need to complete the table and predict the limit if it exists.

First, let's plug in the values of x into the given function \(f(x) = 63 - 2x - x²/x - 7\) and fill the table as shown:x\(f(x)6.9 61.616.99 60.83936.999 60.80397.001 60.80417.01 60.83897.1 61.61\)

Now, we need to determine the limit of f(x) as x approaches 7.

To find the limit of f(x) as x approaches 7, we can either factor or use L'Hopital's rule.

Here, we will use factorization as shown below:\(f(x) = 63 - 2x - x²/x - 7= [(9 - x)(7 + x)]/[(x - 7)(1)] (x ≠ 7)\)

By canceling the common factor (x - 7) from the numerator and the denominator of the function f(x), we can simplify the function as shown:\(f(x) = -(x + 9) (x ≠ 7).\)

The limit of the function f(x) as x approaches 7 can now be calculated as follows\(:lim x → 7 f(x) = lim x → 7 -(x + 9) (x ≠ 7) = -(7 + 9) = -16\)

Thus, the limit of f(x) as x approaches 7 is -16.

Hence, the  answer is -2. Therefore, the limit of f(x) as x approaches 7 is \([latex]\color{blue}\text{-2}[/latex].\)

Thus, the limit of f(x) as x approaches 7 is -2.

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Answer:

13

Step-by-step explanation:

it is hard

The following can be shown about the diagonals of parallelogram PQRS to compare the proof that diagonals of a parallelogram bisect each other: B. PR and SQ have the same midpoint.

In Mathematics and Geometry, a parallelogram is a geometrical figure (shape) and it can be defined as a type of quadrilateral and two-dimensional geometrical figure that has two (2) equal and parallel opposite sides.

In order for any quadrilateral to be considered as a parallelogram, two pairs of its parallel opposite sides must be equal (congruent). This ultimately implies that, the diagonals of a parallelogram would bisect one another only when their midpoints are the same:

(Line segment PR)/2 = (Line segment SQ)/2

Line segment PR = Line segment SQ

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Answer:

When f(x) is 0, then x is -1.8.

Step-by-step explanation:

To find this, you simply have to look for the place where the line crosses the x axis. This is where y (or f(x)) is equal to 0. Since this graph only crosses that axis at x = -1.8, that is the number we are looking for.

Answer:

.02

Step-by-step explanation:

The number of sixth - grade students who are taking choir, given the graph on the fine-arts enrollment of the sixth-grade students at Aiyana’s school is 30 students .

The number of students who are taking choir in the sixth - grade in Aiyana's school is :

= Percentage of students in the choir x Total enrollment of students

Percentage of students in the choir - 15 %

Total enrollment of students  = 200 students

The students taking choir are therefore :

= 15 % x 200

= 30 students

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To show that the total charge contained in the charge distribution is Q, we integrate the charge density over the entire volume. The charge density is given by:

ρ(r) = ρ₀(1 - r/R) for r ≤ R,

ρ(r) = 0 for r > R,

where ρ₀ = 3Q/πR³.

To find the total charge, we integrate ρ(r) over the volume:

Q = ∫ρ(r) dV,

where dV represents the volume element.

Since the charge density is spherically symmetric, we can express dV as dV = 4πr² dr, where r is the radial distance.

The integral becomes:

Q = ∫₀ᴿ ρ₀(1 - r/R) * 4πr² dr.

Evaluating this integral gives:

Q = ρ₀ * 4π * [r³/3 - r⁴/(4R)] from 0 to R.

Simplifying further, we get:

Q = ρ₀ * 4π * [(R³/3) - (R⁴/4R)].

Simplifying the expression inside the parentheses:

Q = ρ₀ * 4π * [(4R³/12) - (R³/4)].

Simplifying once more:

Q = ρ₀ * π * (R³ - R³/3),

Q = ρ₀ * π * (2R³/3),

Q = (3Q/πR³) * π * (2R³/3),

Q = 2Q.

Therefore, the total charge contained in the charge distribution is Q.

To show that the electric field in the region r > R is identical to that created by a point charge Q at r = 0, we can use Gauss's law. Since the charge distribution is spherically symmetric, the electric field outside the distribution can be obtained by considering a Gaussian surface of radius r > R.

By Gauss's law, the electric field through a closed surface is given by:

∮E · dA = (1/ε₀) * Qenc,

where ε₀ is the permittivity of free space, Qenc is the enclosed charge, and the integral is taken over the closed surface.

Since the charge distribution is spherically symmetric, the enclosed charge within the Gaussian surface of radius r is Qenc = Q.

For the Gaussian surface outside the distribution, the electric field is radially directed, and its magnitude is constant on the surface. Hence, E · dA = E * 4πr².

Plugging these values into Gauss's law:

E * 4πr² = (1/ε₀) * Q,

Simplifying:

E = Q / (4πε₀r²).

This is the same expression as the electric field created by a point charge Q at the origin (r = 0).

To derive an expression for the electric field in the region r ≤ R, we can again use Gauss's law. This time we consider a Gaussian surface inside the charge distribution, such that the entire charge Q is enclosed.

The enclosed charge within the Gaussian surface of radius r ≤ R is Qenc = Q.

By Gauss's law, we have:

∮E · dA = (1/ε₀) * Qenc.

Since the charge distribution is spherically symmetric, the electric field is radially directed, and its magnitude is constant on the Gaussian surface. Hence, E · dA = E * 4πr².

Plugging these values into Gauss's law:

E * 4πr² = (1/ε₀) * Q.

Simplifying:

E = Q / (4πε₀r²).

This expression represents the electric field inside the charge distribution for r ≤ R.

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Answer:

The amount of interest paid is $22,500

Step-by-step explanation:

Firstly, we need the number of $1 in $450,000

That would simply be $450,000/$1 = 450,000

5 cents is same as 5/100 = $0.05

so we have to multiply 450,000 by 0.05

we have this as;

450,000 * $0.05 = $22,500

Answer: The appropriate hypotheses for this significance test are:

Null hypothesis (H0): The true mean travel time for all students who attend this school is equal to 20 minutes.

Alternative hypothesis (Ha): The true mean travel time for all students who attend this school is greater than 20 minutes.

The null hypothesis states that there is no difference between the claim (20 minutes) and the sample mean (22.4 minutes). The alternative hypothesis states that there is a difference and the sample mean is greater than the claim. The student will use the sample data and a chosen significance level (such as α = 0.05) to decide whether to reject or fail to reject the null hypothesis.

Step-by-step explanation:

The solution of the system of equations; \( y = \frac{1}{2}\cdot x - 1 \) and x = 4, represented on the graph is the point (4, 1)

The graphs are straight line graphs that can be represented with linear functions.

The points on the graph with blue line are; (2, 0), (0, -1)

The slope, m, is therefore;

m = (0 - (-1))/(2 - 0) = 0.5

From the point, (2, 0), we have;

y = 0.5•(x - 2) = 0.5•x - 1

y = 0.5•x - 1...(1)

\( y = \frac{1}{2}\cdot x - 1 \)

The equation of the graph that is constructed with red line is x = 4...(2)

The solution is given by equation (1) when x = 4 as follows;

The solution satisfies both lines, and it is the point of intersection. At the solution, therefore;

y = 0.5•x - 1 and x = 4

Which gives;

y = 0.5 × 4 - 1 = 1

At the solution, x = 4, and y = 1, which gives the point, (4, 1)

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Answer:

Step-by-step explanation:

-3 + 4i

value = square( (-3)^2 + (4i)^2 ) = sqr(9 + 16) = sqr(25) = 5

The absolute value is like the Pythagoras theorem

(a) Forecast: Linear regression  the next year is approx 191.6007.

(b) MSE: Mean Squared Error is approximately 249.1585.

(c) MAPE: Mean Absolute Percent Error is approximately 10.42%.

(a) (a) Forecast using linear regression:
To forecast the number of disk drives for the next year, we can use linear regression to fit a line to the given data points. The linear regression equation is of the form y = mx + b, where y represents the number of disk drives and x represents the year.

Calculating the slope (m):
m = (Σ(xy) - n(Σx)(Σy)) / (Σ(x^2) - n(Σx)^2)

Σ(xy) = (1)(140) + (2)(160) + (3)(190) + (4)(200) + (5)(210) = 2820
Σ(x) = 1 + 2 + 3 + 4 + 5 = 15
Σ(y) = 140 + 160 + 190 + 200 + 210 = 900
Σ(x^2) = (1^2) + (2^2) + (3^2) + (4^2) + (5^2) = 55

m = (2820 - 5(15)(900)) / (55 - 5(15)^2)
m = (2820 - 6750) / (55 - 1125)
m = -3930 / -1070
m ≈ 3.6729

Calculating the y-intercept (b):
b = (Σy - m(Σx)) / n
b = (900 - 3.6729(15)) / 5
b = (900 - 55.0935) / 5
b ≈ 168.1813

Using the equation y = 3.6729x + 168.1813, where x represents the year, we can predict the number of disk drives for the next year. To do so, we substitute the value of x as the next year in the equation. Let's assume the next year is represented by x = 6:

y = 3.6729(6) + 168.1813
y ≈ 191.6007

Therefore, according to the linear regression model, the predicted number of disk drives for the next year is approximately 191.6007.

(b) Calculation of Mean Squared Error (MSE):

To calculate the Mean Squared Error (MSE), we need to compare the predicted values obtained from linear regression with the actual values given in the data.

First, we calculate the predicted values using the linear regression equation: y = 3.6729x + 168.1813, where x represents the year.

Predicted values:

Year 1: y = 3.6729(1) + 168.1813 = 171.8542
Year 2: y = 3.6729(2) + 168.1813 = 175.5271
Year 3: y = 3.6729(3) + 168.1813 = 179.2000
Year 4: y = 3.6729(4) + 168.1813 = 182.8729
Year 5: y = 3.6729(5) + 168.1813 = 186.5458
Next, we calculate the squared difference between the predicted and actual values, and then take the average:

MSE = (Σ(y - ŷ)^2) / n

MSE = ((140 - 171.8542)^2 + (160 - 175.5271)^2 + (190 - 179.2000)^2 + (200 - 182.8729)^2 + (210 - 186.5458)^2) / 5

MSE ≈ 249.1585

The Mean Squared Error (MSE) for the linear regression model is approximately 249.1585.

This value represents the average squared difference between the predicted values and the actual values, providing a measure of the accuracy of the model.

(c) Calculation of Mean Absolute Percent Error (MAPE):

To calculate the Mean Absolute Percent Error (MAPE), we need to compare the predicted values obtained from linear regression with the actual values given in the data.

First, we calculate the predicted values using the linear regression equation: y = 3.6729x + 168.1813, where x represents the year.

Predicted values:

Year 1: y = 3.6729(1) + 168.1813 ≈ 171.8542
Year 2: y = 3.6729(2) + 168.1813 ≈ 175.5271
Year 3: y = 3.6729(3) + 168.1813 ≈ 179.2000
Year 4: y = 3.6729(4) + 168.1813 ≈ 182.8729
Year 5: y = 3.6729(5) + 168.1813 ≈ 186.5458

Next, we calculate the absolute percent error for each year, which is the absolute difference between the predicted and actual values divided by the actual value, multiplied by 100:

Absolute Percent Error (APE):

Year 1: |(140 - 171.8542) / 140| * 100 ≈ 18.467
Year 2: |(160 - 175.5271) / 160| * 100 ≈ 9.704
Year 3: |(190 - 179.2000) / 190| * 100 ≈ 5.684
Year 4: |(200 - 182.8729) / 200| * 100 ≈ 8.563
Year 5: |(210 - 186.5458) / 210| * 100 ≈ 11.682
Finally, we calculate the average of the absolute percent errors:

MAPE = (APE₁ + APE₂ + APE₃ + APE₄ + APE₅) / n

MAPE ≈ (18.467 + 9.704 + 5.684 + 8.563 + 11.682) / 5 ≈ 10.42

The Mean Absolute Percent Error (MAPE) for the linear regression model is approximately 10.42%.

This value represents the average percentage difference between the predicted values and the actual values, providing a measure of the relative accuracy of the model.

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Given that,

Each person in the family got 1/4 of the cake.

Cake is cut in 8 slices.

To find,

How much of the cake did the person get?

Solution,

To find the cake the person get can be calculated by finding 1/4th of 8 slices. Let the result is x.

x = (1/4) 8

= 2 slices

Hence, the person will get 2 slices.

Step-by-step explanation:

x^2 + 3x - 28 = 0

x^2 - 7x + 4x - 28 = 0

x(x-7) + 4(x-7) = 0

(x+4)(x-7)= 0

x+4=0 or x-7=0

x= -4 or x=7

Within sample variance occurs within a single sample or group.

Within sample variance refers to the variation or dispersion of values within a single sample or group. It measures how much the individual data points deviate from the mean or central tendency within that specific sample. This variance is calculated by taking the average of the squared differences between each data point and the sample mean.

For example, let's say we have a sample of test scores for a group of students. Within sample variance would help us understand how much the individual test scores vary within that particular group. If the test scores are tightly clustered around the mean, the within sample variance would be low, indicating a high level of similarity among the scores. Conversely, if the test scores are widely spread out, the within sample variance would be high, suggesting a greater diversity or variability among the scores.

In summary, within sample variance occurs within a single sample or group and quantifies the dispersion of values around the mean within that sample. It helps assess the level of variation or homogeneity within the data set.

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if they were to choose the 1 penny doubled every day for 30 days, they would earn a total of $5,368,709.12.

If given the choice between $50,000 for 30 days of work or 1 penny doubled every day for 30 days, the option to choose would depend on a variety of factors.

The first thing to consider is the total amount of money that would be earned. If one were to choose the $50,000 for 30 days of work, they would earn a flat rate of $50,000. However, if they were to choose the 1 penny doubled every day for 30 days, they would earn a total of $5,368,709.12.

The second factor to consider is the amount of time and effort required for each option. If one were to choose the $50,000 for 30 days of work, they would be required to work for 30 days, which could be a significant commitment of time and effort. On the other hand, if they were to choose the 1 penny doubled every day for 30 days, they would not have to work at all, but they would have to wait 30 days to receive their payment.

Another factor to consider is the potential risks involved. If one were to choose the $50,000 for 30 days of work, they would be guaranteed to receive that amount of money. However, if they were to choose the 1 penny doubled every day for 30 days, there would be some level of uncertainty involved. While it is mathematically certain that the amount of money would double each day, there is always the possibility of unforeseen circumstances that could impact the final payout.

In conclusion, the decision of whether to choose the $50,000 for 30days of work or 1 penny doubled every day for 30 days ultimately depends on personal preferences and circumstances. While the potential payout of the penny-doubling option is significantly higher, it also requires patience and carries a degree of risk

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Answer:

It's exactly normal, because both populations are normally distributed.

Step-by-step explanation:

khan :)

Answer:

D.

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

There are 3 out of 8 shaded in the box, and there are two whole ones, making it:

2 × 3/8

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Have a good day :)