Read the proof. Given: AE LEC; BDL DC Prove: AAEC ~ ABDC A E B D C Statement 1. AE LEC;BD 1 DC 2. ZAEC is a rt. Z; ZBDC is a rt. Z 3. ZAEC ZBDC Reason 1. given 2. definition of perpendicular ZACE ZBCD OZEAB≈ ZDBC O ZEAC ≈ ZEAC OZCBD ZDBC 3. all right angles are congruent 4. ? 5. AAEC ~ ABDC What is the missing statement in step 4? 4. reflexive property 5. AA similarity theorem​

To construct a 90% confidence interval for the difference in the means between the two displays, we will collect data on the speed of both types of displays, determine the mean difference in speed, and use a statistical formula to calculate the 90% confidence interval for this difference.

Based on the given information, the agencies are more interested in the practical importance of the difference in speed rather than statistical significance. The market research has indicated that in order to justify the higher price of color displays, they must be faster by at least 10 seconds per transaction on average.

To construct a 90% confidence interval for the difference in the means between color and black and white displays, we need to gather data on the speed of both types of displays in similar transaction scenarios. Once we have this data, we can calculate the mean difference in speed between the two groups.

Next, we can use a statistical formula to calculate the 90% confidence interval for this difference. The formula takes into account the sample size, standard deviation, and degree of freedom of the data.

The resulting confidence interval will give us a range of values within which we can be 90% confident that the true difference in speed between color and black and white displays lies. If this range includes the value of 10 seconds or higher, it would indicate that the practical importance threshold set by the agencies has been met.

In conclusion, constructing a 90% confidence interval for the difference in means between color and black and white displays can help determine if the practical importance threshold set by the agencies has been met. The agencies are more concerned with the practical importance of the difference in speed rather than statistical significance.

Note: The question is incomplete. The complete question probably is: The agencies, however, are not concerned with statistical significance. The agencies would like to know if the difference in speed is of practical importance to them. Market research has shown that in order to justify the higher price of color displays, they must be faster by an average of at least 10 seconds per transaction. Construct a 90% confidence interval for the difference in the means (color minus black and white).

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In the case of John, he typically receives account statements from bias bank on a monthly basis.

Therefore, the correct option is C. Monthly.

An account statement is a record of all transactions that have occurred in a customer's account over a given period. Bank accounts, credit card accounts, investment accounts, and other financial accounts all have account statements. The frequency with which customers receive these statements varies depending on the financial institution and the type of account.

An account statement is a useful tool for monitoring account activity and verifying transactions.

It provides information about transactions, such as the date, amount, and description of each transaction, as well as the account balance at the end of the period.

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To calculate the values of y for the given function \(y = sin^2(x) / (1.55sin(x) + cos^2(x))\)  at x = 20°, 30°, 40°, 50°, 60°, 70°, and 80°, perform the calculations using a calculator or mathematical software.

To calculate the value of y for the given function\(y = sin^2(x) / (1.55sin(x) + cos^2(x)),\) we can substitute the given values of x into the equation and evaluate it using element-by-element operations.

For x = 20°:

\(y = sin^2(20) / (1.55sin(20) + cos^2(20))\)

For x = 30°:

\(y = sin^2(30) / (1.55sin(30) + cos^2(30))\)

For x = 40°:

\(y = sin^2(40) / (1.55sin(40) + cos^2(40))\)

For x = 50°:

\(y = sin^2(50) / (1.55sin(50) + cos^2(50))\)

For x = 60°:

\(y = sin^2(60) / (1.55sin(60) + cos^2(60))\)

For x = 70°:

\(y = sin^2(70) / (1.55sin(70) + cos^2(70))\)

For x = 80°:

\(y = sin^2(80) / (1.55sin(80) + cos^2(80))\)

By evaluating these equations using a calculator or mathematical software, we can find the respective values of y for each given value of x.

Note: Due to the complexity of the calculations involved, it is recommended to use a scientific calculator or mathematical software to obtain accurate results.

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The ratio of shots made to the shots missed for each player will be:

Angela = 4:1

Emily.= 3:1

Christina = 7:3

It should be noted that from the information given, Angela made 12 shots and missed 3 shots. Therefore the ratio is:

= 12/3

= 4/1

= 4:1

Emily made 15 shots and missed 5 shots. Therefore the ratio is:

= 15/5

= 3/1

= 3:1

Christina made 21 shots and missed 9 shots. Therefore the ratio is:

= 21/9

= 7/3

= 7:3

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Answer:

Dilation of 0.5.

Step-by-step explanation:

Dilations are basically scale factors. If you multiply both x and y by 0.5, you get the transformation.

Example:

E (-5 ·0.5 , -3 · 0.5)

E' (-2.5, -1.5)

77.2 percent of mothers with children under age 6 work in the United states.

Mothers are less likely to work when their children are young than when they are older: In 2019, women with children under the age of six had a labor force participation rate of 66.4%, while those with children aged six to seventeen had a rate of 76.8%.

Among mothers with children under the age of three, married mothers were less involved than mothers of other marital situations — 62% versus 66%.

Working women confront child care challenges: According to a Center for American Progress poll, half of American families reported trouble getting child care.

Based on the amount of time and resources based on the amount of time based on the amount of time based on the length of time based on the length of time based on the length of time based on the duration of time based on the amount of time.

More over two-thirds of homemakers indicated they would "search for employment" if they could find more affordable child care. One-third of part-time parents stated they would work more hours if child care was available.

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The GCD of a and b in the ring of integers is the same as their GCD in the ring of Gaussian integers because both conditions of Gaussian integers are satisfied.

To show that the greatest common divisor (GCD) of integers a and b is the same in the ring of integers and the ring of Gaussian integers, we need to prove two things:

1. GCD(a, b) in the ring of integers divides both a and b.
2. Any common divisor of a and b in the ring of Gaussian integers also divides a and b in the ring of integers.

Let's start with the first point. If GCD(a, b) in the ring of integers divides a and b, it must also divide any linear combination of a and b. Since the ring of Gaussian integers is a subset of the ring of integers, any linear combination of a and b in the ring of Gaussian integers is also a linear combination of a and b in the ring of integers. Therefore, GCD(a, b) in the ring of integers divides any linear combination of a and b in the ring of Gaussian integers.

For the second point, any common divisor of a and b in the ring of Gaussian integers also divides a and b in the ring of integers because the ring of Gaussian integers is a subset of the ring of integers.

In conclusion, the GCD of a and b in the ring of integers is the same as their GCD in the ring of Gaussian integers because both conditions are satisfied.

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The perimeter and area of the given composite figure are:

Area = 50 cm²

Perimeter = 42 cm

To find the total surface area of the composite figure, we will find the area of each individual surfaces and then add them together.

Formula for area of a triangle is:

Area = ¹/₂ * base * height

Formula for area of a rectangle is:

Area = Length * Width

Thus:

T.S.A = 2(¹/₂ * 4 * 5) + (10 * 3)

T.S.A = 20 + 30

T.S.A = 50 cm²

The perimeter will be the sum of the entire boundary length. Thus:

Perimeter = 3 + 10 + 10 + 3 + 3 + 3 + 5 + 5

Perimeter = 42 cm

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The total amount that would be found in the account after 4 years, would be $ 641. 69

The total amount after 4 years in Arik's account can be found by the formula :

= A = Amount invested x ( 1 + r /n )ⁿ

The variables are:

Amount invested = $ 500

r = 6.25% = 0. 0625

n = 12

t = 4 years

The total amount is then :

A = 500 x ( 1 + 0. 0625 / 12 ) ^ ⁽¹² ˣ ⁴ ⁾

A = $ 641. 69

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Answer:

i think x = 7 y = 11

Step-by-step explanation:

have a nice dae

Regression equation is an important concept used in statistics. It is used to determine the relationship between a dependent variable and one or more independent variables. In this question, we are given data of 25 weddings and we need to develop a simple linear regression model to predict the cost of the wedding using attendance as the independent variable.

Let x be the attendance and y be the cost of the wedding. Then the linear regression equation will be:y = mx + c
Where m is the slope of the line and c is the y-intercept. These values can be calculated using the following formulas:
m = (nΣxy - ΣxΣy) / (nΣx² - (Σx)²)c = (Σy - mΣx) / n
Where n is the number of data points, Σxy is the sum of the product of x and y values, Σx and Σy are the sum of x and y values, and Σx² is the sum of the squared x values. Substituting the values from the data in the attached file, we get:
n = 25Σx = 1625Σy = 104415Σxy = 11969360Σx² = 1434316
Substituting these values in the above formulas, we get:
m = (25*11969360 - 1625*104415) / (25*1434316 - 1625²) = 37.619c = (104415 - 37.619*1625) / 25 = 5467.2
Therefore, the regression equation is: y = 37.619x + 5467.2
In conclusion, the regression equation for predicting the cost of the wedding using attendance as the independent variable is y = 37.619x + 5467.2.

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Answer:

10x larger

The is like 300 something and Canada is 30 something

Answer:

Step-by-step explanation:

Confidence Level - "P" values  

99%  2.58

Confidence Interval - "P" values  

(0.5289 , 0.6097 )  

Reference=0.523 Reject H0

Answer:

ms baker

Step-by-step explanation:

9/10 = 90%

10/12= 83

Answer:

Ms.Baker

Step-by-step explanation:

9/10 > 10/12 or 0.9 > 0.833333. Next time try to make equivalent fractions with the same denominator or convert to decimal then compare.

Answer:

\(60cm^{2}\)

Step-by-step explanation:

The area is the total space taken up by a flat (2-D) surface or shape. The area is always measured in square units.

If we look at this shape, we can split it into 3 separate shapes (shown below)

The top rectangle in blue has a length of 2cm and a width of 10cm. We know the width is 10 because if we were to look at the width of the yellow rectangle and add on the original width you would get:

Now that we know that the length is 2 and the width is 10, we can use the following formula to solve for the area of a rectangle:

(Where l = length and h = height)

Inserting 2 in for our length and 10 for our width:

Therefore, the area of the blue rectangle is \(20cm^{2}\).

Looking at the bottom green rectangle, it has the same dimensions as the blue, so it will also have an area of \(20cm^{2}\).

The same goes for the yellow rectangle. It has a length of 10 and a width of 2. These are also the same dimensions as before, so we can once again conclude that the area of the yellow rectangle is \(20cm^{2}\)

We have 3 rectangles with areas of \(20cm^{2}\) each, so we can use either one of these expressions to solve for the entire area:

Or we can use:

Therefore the area of the entire shape is \(60cm^{2}\)

There is only 1 power of 7 contained in 10.

Students use powers of numbers to solve this problem and learn what is occurring to the numbers as a result.

Students also learn how to divide a seemingly vast and challenging equation into smaller, more accessible components. The pupils should understand that raising 7 to a power only produces a finite number of unit digits. Furthermore, as the power of 7 rises, these particular numbers "circle round." 7, 9, 3, and 1 make up this cycle.

The digit in the tens place is the same.

The total number of times we multiply a number is known as its exponent or power. For instance, 2 to the power 3 denotes a 3x3 multiplication of 2.

The largest power of 7 that is less than 10 is 7^1 = 7, therefore there is only 1 power of 7 contained in 10.

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There is only 1 power of 7 contained in 10.

Students use powers of numbers to solve this problem and learn what is occurring to the numbers as a result.

Students also learn how to divide a seemingly vast and challenging equation into smaller, more accessible components. The pupils should understand that raising 7 to a power only produces a finite number of unit digits. Furthermore, as the power of 7 rises, these particular numbers "circle round." 7, 9, 3, and 1 make up this cycle.

The digit in the tens place is the same.

The total number of times we multiply a number is known as its exponent or power. For instance, 2 to the power 3 denotes a 3x3 multiplication of 2.

The largest power of 7 that is less than 10 is 7^1 = 7, therefore there is only 1 power of 7 contained in 10.

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Therefore, the area between the large loop and the small loop of the curve r = 2 + 4cos(3θ) is 70π/3.

To find the area between the large loop and the small loop of the curve, we need to find the points of intersection of the curve with itself.

Setting the equation of the curve equal to itself, we have:

2 + 4cos(3θ) = 2 + 4cos(3(θ + π))

Simplifying and solving for θ, we get:

cos(3θ) = -cos(3θ + 3π)

cos(3θ) + cos(3θ + 3π) = 0

Using the sum to product formula, we get:

2cos(3θ + 3π/2)cos(3π/2) = 0

cos(3θ + 3π/2) = 0

3θ + 3π/2 = π/2, 3π/2, 5π/2, 7π/2, ...

Solving for θ, we get:

θ = -π/6, -π/18, π/6, π/2, 5π/6, 7π/6, 3π/2, 11π/6

We can see that there are two small loops between θ = -π/6 and π/6, and two large loops between θ = π/6 and π/2, and between θ = 5π/6 and 7π/6.

To find the area between the large loop and the small loop, we need to integrate the area between the curve and the x-axis from θ = -π/6 to π/6, and subtract the area between the curve and the x-axis from θ = π/6 to π/2, and from θ = 5π/6 to 7π/6.

Using the formula for the area enclosed by a polar curve, we have:

A = 1/2 ∫[a,b] (r(θ))^2 dθ

where a and b are the angles of intersection.

For the small loops, we have:

A1 = 1/2 ∫[-π/6,π/6] (2 + 4cos(3θ))^2 dθ

Using trigonometric identities, we can simplify this to:

A1 = 1/2 ∫[-π/6,π/6] 20 + 16cos(6θ) + 8cos(3θ) dθ

Evaluating the integral, we get:

A1 = 10π/3

For the large loops, we have:

A2 = 1/2 (∫[π/6,π/2] (2 + 4cos(3θ))^2 dθ + ∫[5π/6,7π/6] (2 + 4cos(3θ))^2 dθ)

Using the same trigonometric identities, we can simplify this to:

A2 = 1/2 (∫[π/6,π/2] 20 + 16cos(6θ) + 8cos(3θ) dθ + ∫[5π/6,7π/6] 20 + 16cos(6θ) + 8cos(3θ) dθ)

Evaluating the integrals, we get:

A2 = 80π/3

Therefore, the area between the large loop and the small loop of the curve r = 2 + 4cos(3θ) is:

A = A2 - A1 = (80π/3) - (10π/3) = 70π/3

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Cecelia is conducting a study on income inequality in Memphis. it is important to report the descriptive statistics of the sample and check if it provides an accurate reflection of the population.

Before she begins her main analyses, she wants to report her sample's descriptive statistics and make sure that it provides an accurate reflection of the population. Her sample consists of 1,000 Memphis residents. She knows from census data that the mean household income in Memphis is $32,285 with a standard deviation of $5,645.

Her sample mean is only $31,997 with a standard deviation of $6,005. Cecelia is conducting a study on income inequality in Memphis and she has collected the data for 1,000 Memphis residents. Before she begins her main analyses, she wants to report her sample's descriptive statistics and make sure that it provides an accurate reflection of the population.

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Answer:

alot

Step-by-step explanation:

i cant understand this

Answer:

13

Step-by-step explanation:

13 times 3 = 39

40-39=1

Answer:

66.5

Step-by-step explanation:

Step-by-step explanation:

roots as exponents are fractions

if there is no root number next to the radical sign its assumed that its 1/2

3√2 is 2^(1/3)

√3 is 3^(1/2)

4√3 is 3^(1/4)

5√2 is 2^(1/5)

Based on the length and width of the rectangular lawn, and the percentage the man has mowed, the strip width would be 40.5 m.

first, find the area of the lawn:

= 100 x 200

= 20,000 ft²

the area mowed is:

= 40.5% x 20,000

= 8,100 ft²

the width is therefore:

= 8,100 / 200

= 40.5 m

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Answer:cost of each donut =$4

and cost of each cup of hot chocolate =$2

Step-by-step explanation:

Step 1

Let donuts be represented as d

and cups of hot chocolate be rep as c so that

5 donuts and 2 cups of hot Chocolate costing 24$ will be expressed as

5 d+ 2 c= 24

And 2 donuts and 3 cups of hot chocolate costing  14$ will be expressed as

2d +3 c= 14

Step 2

Using elimination method,Multiply equation 1 by 3 and equation 2 by 2

15d+ 6c= 72----equation 3

4d+ 6c= 28-----equation 4

Subtracting equation 4 from equation 3 gives us

11 d=44

d= 44/11

d= 4

To find c, using equation 1

5 d+ 2 c= 24

5 x 4+ 2c=24

20+2c=24

2c=24-20

2c=4

c=4/2 =2

cost of each donut =$4

and cost of each cup of hot chocolate =$2

Answer: the last question at the very bottom

Step-by-step explanation:

the graph is not a scatter plot, so its a line plot .

Although part of your question is missing, you might be referring to this full question: If the 1st person saves 1/4 of total, 2nd person saves 2/3 of total, and 3rd person saves 1/10, which fraction left to pay for the birthday party?

The fraction left to pay for the birthday party is 17/30.

The calculation is as follows:

1 * 1/4 = 1/4 … (1)

1/4 * 2/3 = 2/12 … (2)

2/12 * 1/10 = 2/120 … (3)

Fraction left to pay:

= 1 - (1/4 + 2/12 + 2/120)

= 1 - (30/120 + 20/120 + 2/120)

= 1 - (52/120)

= 1 - 13/30

= 30/30 - 13/30

= 17/30

Thus, the fraction left to pay for the birthday party is 17/30.

A fraction is a part of a whole. In arithmetic, the number is expressed as a quotient, where the numerator is divided by the denominator. In a simple fraction, both are integers. A complex fraction has a fraction in the numerator or denominator. In a proper fraction, the numerator is less than the denominator.

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The test statistic for a sample with correlation coefficient r = 0.5 and sample size n = 30 is 3.06.

To test whether a correlation is significant, we need to calculate the test statistic using the correlation coefficient (r) and the sample size (n). The formula for the test statistic is:

t = r * sqrt(n-2) / sqrt(1-r^2)
Here, r is the correlation coefficient (0.5) and n is the sample size (30).
Plugging in the given values of r = 0.5 and n = 30, we get:

t = 0.5 * √((30 - 2) / (1 - 0.5^2))
t = 0.5 * √(28 / 0.75)
t = 0.5 * √(37.33)
t = 0.5 * 6.11
t ≈ 3.06

Thus, the test statistic for this sample is approximately 3.06. To determine whether the correlation is significant, we would need to compare this test statistic to a critical value from a t-distribution with n-2 degrees of freedom at the desired significance level.

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Answer:

x = 20°

explanation:

solve:

5x + 35 + 45 = 180°

5x + 80° = 180°

5x = 100°

x = 20°

There are infinitely many even integers that are divisible by 5.

By considering how any even integer can be represented as 2m, where m is an integer, it becomes evident that if 2m happens to be divisible by 5, then m will also have this quality because 5, which is a prime number, cannot divide into 2.

As a result, all even integers that aredivisible by 5 can be expressed in the format of 10n, with any n being acceptable. Examples of such numbers include:

0 (from 10 x 0 = 0)

10 (from 10 x 1 = 10)

-10 (through 10 x -1 = -10)

20 (by evaluating 10 x 2 = 20)

And similarly when exploring negative values:  

-20 (since 10 x -2 = -20), and so on.

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