Which lines are which EF and CDGH and EFAB and CDParallel lines Perpendicular lines Neither parallel or perpendicular lines

The statement correctly describes the perpendicular bisector construction below The construction of JK to bisect GH: Option D is the correct answer

The term perpendicular bisector refers to the line that divides another line into two equal parts, making an angle of 90 degrees. The term is made up of two words, perpendicular and bisector.

Perpendicular refers to angle 90 degrees, while the bisector refers to dividing into two equal parts.

In the picture, the main line is GH while JK is the line constructed to bisect the main line

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Answer:

See below.

Step-by-step explanation:

1)

So we have:

\(\exists x\in\mathbb{N},y\in\mathbb{Z}|x^2=y^2\)

This can be interpreted as:

"There exists a natural number x and an integer y such that x² is equal to y²."

2)

So we want even numbers are in the set of integers.

\(\{2n:n\in\mathbb{Z}\}\in\mathbb{Z}\)

This is interpreted as:

"The set of even numbers (2n such that n is an integer) is in the set of integers"

Answer:

30 units^2

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

Multiply length times width

Each side is 6 units. That would be your length

And both the top and bottom are 5 units each. This would be your width.

5 times 6= 30

(a) The value of test statistic is 2.6795.

(b) The critical value is 2.1578 and p value is 0.0062.

(c) We conclude that if we have enough evidence to support the claim that first population has a large mean.

Given that,

mean(x)=12

standard deviation, sd(1)=3

number n(1)=20

mean y=10

standard deviation, sd(2)=1.5

number n(2)=21

null, H(0): μ1-μ2 = 0

Alternate, H(1): μ1-μ2 > 0

We use test statistic (t) = \((x-y)/\sqrt{(sd(1)^2/n(1))+(sd(2)^2/n(2))}\)

t(0) =\(\frac{12-10}{\sqrt{9/20+2.25/21}}\)

t(0) =2.6795

t(0) =2.6795

critical value

level of significance, alpha = 0.02

degrees of freedom (df) = \(\frac{sd(1) ^2/n(1)+sd(2) ^2/n(2))^2}{(s(1)^4/n(1)^2(n(1)-1) + (s(2)^4/n(2)^2(n(2)-1)}\)

df = \(\frac{((3^2/20)+(1.5^2/21))^2}{(3^4/20^2(20-1))+(1.5^4/21^2(21-1))}\)

df = 27.6364

df = 27(approx)

From standard normal table,right tailed t(a/2) =2.1578

Since our test is right-tailed,

Reject H(0), if t(0) > 2.1578

we got t(0) = 2.67946 and |t(a)| = 2.1578

make decision

Hence value of |t(0)| > | t(a)| and here we reject H(0)

p-value: right tail H(a): (p > 2.6795) = 0.0062

Hence value of p(0.02) > 0.0062, here we reject H(0)

H0: μ1-μ2 = 0

H1: μ1-μ2 > 0

test statistic: 2.6795

b. We have to find the t critical value for a significance level of 0.02 for an alternative hypothesis that the first population has a larger mean.

critical value: 2.1578

p value: 0.0062

c. We have to find the conclusion.

We have enough evidence to support the claim that first population has a large mean.

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The right question is:

Answer: x= 25 · 4 ÷ 10 + 100 -10

Step-by-step explanation:

The system of linear equations that can be solved from the matrices is given as follows:

Considering that the row [3, -6] is common to matrices Ax and Ay, the matrix A is given as follows:

A = [-5 4; -8 1]

Hence the multiplication of matrices representing the system is given as follows:

[-5 4; -8 1][x; y] = [3; -6]

Applying the multiplication of matrices, the system of equations is given as follows:

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The employer will charge $55 for 5 hours

The first step is to calculate the amount charged for an hour

22= 2

x= 1

cross multiply

2x= 22

x= 22/2

x= 11

The amount charged for 5 hours can be calculated as follows

11= 1

y= 5

cross multiply

y= 55

Hence $55 will be charged for 5 hours

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Answer:

c number because even or odd numbers are equal i hope help you

please mark me brainlist

Answer:

C is the Correct answer.

Step-by-step explanation:

The circled portion in the confidence interval formula p ± z represents the Margin of Error, which plays a crucial role in interpreting the range of plausible values for the population parameter.

In the confidence interval formula p ± z, the circled portion represents the Margin of Error.

The Margin of Error is a critical component of a confidence interval and quantifies the level of uncertainty in the estimate.

It indicates the range within which the true population parameter is likely to fall based on the sample data.

The Margin of Error is calculated by multiplying the critical value (z) by the standard deviation of the sampling distribution.

The critical value is determined based on the desired level of confidence, often denoted as (1 - α), where α is the significance level or the probability of making a Type I error.

The Margin of Error accounts for the variability in the sample and provides a measure of the precision of the estimate.

It reflects the trade-off between the desired level of confidence and the width of the interval.

A larger Margin of Error indicates a wider confidence interval, implying less precision and more uncertainty in the estimate.

Conversely, a smaller Margin of Error leads to a narrower confidence interval, indicating higher precision and greater certainty in the estimate.

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The function y = -x² + 3x + 4 is negative when - 1 > x > 4.

A function is made up of three parts: a set of inputs, a set of outputs, and a rule that links the components of the input set to the components of the output set so that each input is paired with exactly one output.

Consider the function,

y = - x² + 3x + 4

For the function to be negative y < 0.

Therefore,

- x² + 3x + 4 < 0

- ( x² - 3x - 4 ) < 0

- (  x² - 4x + x - 4 ) < 0

- [ x ( x - 4 ) + 1 ( x - 4 ) ] < 0

- ( x + 1 ) ( x - 4 ) < 0

Multiplying by -1 on each side of the inequality.

- ( x + 1 ) ( x - 4 )(-1) > 0( - 1 )

( x + 1 ) ( x - 4 ) > 0

x < - 1 or x > 4

Therefore, the function is negative when - 1 > x > 4.

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Answer:

53.6 inches

p = 4s

Step-by-step explanation:

The perimeter of a square is four times the side

The direct variation equation is

p = 4s

p = 4 * 13.4

p = 53.6 inches

Using it's concept, it is found that the period of the function is of 20 units.

The period of a function is given by the distance between it's repetitions.

Looking at the graph, the distance between the repetitions is of 20 units, which is the period of the function.

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Answer:

125 ft^3

Step-by-step explanation:

V = length x width x height so for a cube V= side^3

V= 5 x 5 x 5 or 5^3 = 125

Hope this helps!

This set {σ ∈ S4 : σ(1) = 3} contains the following elements of S4: (13), (23), (34), (24), (14), (12)(34), (13)(24), (14)(23) and  {σ ∈ S4 : σ(2) = 2} this set contains the following elements of S4: (12), (21), (13)(24), (24)(13).

The group S4 is the symmetric group on 4 elements and has 24 elements. We can list all of its subgroups as follows:

Now, let's consider the sets (a) and (b) and see if they are subgroups of S4:

(a) {σ ∈ S4 : σ(1) = 3}

This set contains the following elements of S4: (13), (23), (34), (24), (14), (12)(34), (13)(24), (14)(23). We can check that this set is not a subgroup of S4 because it is not closed under composition. For example, (13)(14) = (134) is not in the set.

(b) {σ ∈ S4 : σ(2) = 2}

This set contains the following elements of S4: (12), (21), (13)(24), (24)(13). We can check that this set is a subgroup of S4. It is closed under composition, inverses, and contains the identity element e. Therefore, it is a subgroup of S4 and is isomorphic to the cyclic group of order 2.

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The total value of the loan with quarterly compounded interest is approximately $45,288.38, while the total value of the loan with monthly compounded interest is approximately $45,634.84. The difference in total interest accrued is approximately $346.46.

Part A: To determine the total value of the loan with quarterly compounded interest, we can use the formula for compound interest:

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

where:

A is the total value of the loan,

P is the principal amount (initial loan amount),

r is the interest rate (in decimal form),

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

and t is the number of years.

Given:

P = $20,000,

r = 9% or 0.09,

n = 4 (quarterly compounding),

t = 10 years.

Substituting the values into the formula, we have:

A = 20000(1 + 0.09/4)^(4*10).

Calculating this value, we find:

A ≈ $45,288.38.

Therefore, the total value of the loan with quarterly compounded interest is approximately $45,288.38.

Part B: To determine the total value of the loan with monthly compounded interest, we follow the same formula but with a different value for n:

n = 12 (monthly compounding).

Substituting the values into the formula, we have:

A = 20000(1 + 0.09/12)^(12*10).

Calculating this value, we find:

A ≈ $45,634.84.

Therefore, the total value of the loan with monthly compounded interest is approximately $45,634.84.

Part C: The difference between the total interest accrued on each loan can be calculated by subtracting the principal amount from the total value of each loan.

For the loan with quarterly compounding:

Total interest = Total value - Principal

Total interest = $45,288.38 - $20,000

Total interest ≈ $25,288.38.

For the loan with monthly compounding:

Total interest = Total value - Principal

Total interest = $45,634.84 - $20,000

Total interest ≈ $25,634.84.

The difference between the total interest accrued on each loan is approximately $346.46.

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Answer:

Step-by-step explanation:

Range is largest value - smallest value. 12-3=9! EZ

Therefore, the probability of getting exactly 3 successes in 10 independent trials of a binomial probability experiment with probability of success 0.35 is approximately 0.213.

Probability is a branch of mathematics that deals with the measurement and analysis of random events. It is a way of quantifying the likelihood of an event occurring. Probability can be expressed as a number between 0 and 1, with 0 indicating that an event is impossible and 1 indicating that an event is certain to occur.

The concept of probability is used in a wide range of fields, including statistics, physics, engineering, economics, and finance. It helps us make predictions about the likelihood of future events and make informed decisions based on those predictions.

by the question.

To compute the probability of X successes in N independent trials of a binomial experiment, we use the following formula:

\(P(X = x) = (N choose x) * p^x * (1-p)^(N-x)\)

where "N choose x" is the binomial coefficient, given by:

\((N choose x) = N! / (x!(N-x)!)\)

In this case, we are given that:

N = 10 (number of independent trials)

p = 0.35 (probability of success in each trial)

X = 3 (number of successes)

Therefore, we can compute the probability of X successes as:

\(P(X = 3) = (10 choose 3) * 0.35^3 * (1-0.35)^(10-3)\)

Using a calculator, we can calculate:

\((10 choose 3) = 120 / (3! * 7!) = 120 / (6 * 5040) = 0.1666666670.35^3 = 0.042875(1-0.35)^(10-3) = 0.338915\)

Putting it all together:

\(P(X = 3) = 0.166666667 * 0.042875 * 0.338915 = 0.00240157\)

Substituting these values into the formula, we get:

\(P(X = 3) = (10 choose 3) * 0.35^3 * (1-0.35)^(10-3)\)

\(= (10! / (3! * 7!)) * 0.35^3 *0.65^7\)

≈ 0.213

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Answer:

The correct answer is C.

Explanation:

A. 3.5 = 8/10 is not true because 3.5 is equivalent to 7/2, which is not the same as 8/10 (which reduces to 4/5).

B. 35 > 3/10 is true because 35 is a larger number than 3/10.

C. 35/100 < .35 is true because 35/100 reduces to 7/20, which is less than .35.

D. 3 3/10 = .35 is not true because 3 3/10 is equivalent to 33/10, which is not the same as .35 (which is equivalent to 7/20).

Answer:

31/80

Step-by-step explanation:

2/10 + 3/16

Answer:

2 hours

Step-by-step explanation:

Answer:

do it in thirds so 10/6 and 5/6 now simplify = 2/6= 1/6 of the story so full story would be 12/6=6/3=2 hours

Step-by-step explanation:

Answer:

Find the area of the rectangle. Then, find the area of the circle. The diameter is given, so take half that to get the radius. Multiply the area of the circle by half. Subtract the area of the half circle from the area of the rectangle.

Step-by-step explanation:sample

The perimeter of the regular polygon with 15 sides, each measuring 11 cm and an apothem of 18.4 cm, is approximately 166.05 cm.

What is polygon?

A polygon is a two-dimensional geometric shape that is made up of straight lines connecting a sequence of points, which are called vertices.

To find the perimeter of a regular polygon with 15 sides, we need to know the length of each side. However, we are given the apothem, which is the distance from the center of the polygon to the midpoint of any side.

We can use the apothem and the number of sides to find the length of each side using the formula:

length of each side = 2 × apothem × tan(π/n)

where n is the number of sides and π is the mathematical constant pi (approximately equal to 3.14159).

Substituting the given values, we get:

length of each side = 2 × 18.4 cm × tan(π/15)

length of each side ≈ 11.07 cm

Now that we know the length of each side, we can find the perimeter by multiplying it by the number of sides:

perimeter = number of sides × length of each side

perimeter = 15 × 11.07 cm

perimeter ≈ 166.05 cm

Therefore, the perimeter of the regular polygon with 15 sides, each measuring 11 cm and an apothem of 18.4 cm, is approximately 166.05 cm.

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Answer:

417.62

\(A=πr(r+\sqrt{x} h2+r2)\)Step-by-step explanation:

because radius is half of diameter and then you would use this equation to solve

Since the discriminant is negative, the equation has two complex conjugate roots is -19.

To find complex conjugate roots of a polynomial, you can follow these steps:

Identify the complex roots of the polynomial: Use the quadratic formula or any other method to find the roots of the polynomial. If the roots are complex, they will be of the form a + bi, where a and b are real numbers and i is the imaginary unit.

Check for conjugate pairs: If a complex root is of the form a + bi, then its complex conjugate will be a - bi. Check if the polynomial has any other root of the form a - bi. If so, then the two roots are complex conjugates.

For example, suppose you have a polynomial with the equation:

\(x^3 - 4x^2 + 7x - 10 = 0\)

Using a calculator or other methods, you can find that one of the roots of this polynomial is approximately 1.72 + 0.98i. To check if this is part of a complex conjugate pair, you can check if the polynomial has another root of the form a - bi.

One way to do this is to use polynomial long division to divide the original polynomial by the quadratic factor (x - (1.72 + 0.98i)) (x - (1.72 - 0.98i)).

To determine the number and type of roots of the equation x^2 - 3x + 7 = 0, we need to use the discriminant, which is given by the formula b^2 - 4ac.

In this case, a = 1, b = -3, and c = 7. Substituting these values into the formula, we get:

\(b^2 - 4ac = (-3)^2 - 4(1)(7) = 9 - 28 = -19\)

Since the discriminant is negative, the equation has two complex conjugate roots.

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Answer:

1/10

Step-by-step explanat

I know it

The required mixed number is 1 1/10 which is equivalent to 110%.

The percentage is defined as a ratio expressed as a fraction of 100.

We have to write 110% as a mixed number in simplest form.

To convert a percent to a fraction you first convert the percent to a decimal and then use the same procedure as converting a decimal to a fraction.

As per the question, we have

⇒ 110%

To convert the percentage, we have to divide by 100

= 110/100

Rewrite the decimal number as a fraction (over 1)

= 1 .1/1

Multiply the numerator and denominator by 10 to remove decimal places

= 1.11 × 10/10

= 11/10

= 1 1/10

Therefore, 110% is written as 1 1/10 mixed number in simplest form.

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Answer:

a

Step-by-step explanation:

Complete Question

The complete question is shown on the first uploaded image

Answer:

a

 center is  0.275

 \(SE = 0.063\)

b

 center is  0.275

 \(SE = 0.020\)

Step-by-step explanation:

considering question a

From the question we are told that

   The sample size is  n  =  50

 The proportion of  US adults are college graduates is  p = 0.275

Generally the center is equivalent to the proportion so the center is  0.275

Generally the standard error is  

      \(SE =  \sqrt{\frac{p *  (1- p)}{ n} }\)

=>   \(SE =  \sqrt{\frac{0.275 *  (1- 0.275)}{ 50} }\)

=>   \(SE = 0.063\)

considering question b

    The sample size is  n  =  500

      The proportion of  US adults are college graduates is  p = 0.275

     Generally the center is equivalent to the proportion so the center is  0.275

     Generally the standard error is  

      \(SE =  \sqrt{\frac{p *  (1- p)}{ n} }\)

=>   \(SE =  \sqrt{\frac{0.275 *  (1- 0.275)}{ 500} }\)

=>   \(SE = 0.020\)

In the sampling distribution, the center of the sampling distribution is 0.275 and the standard error is 0.063.

A sampling distribution simply means the probability distribution that is gotten from a larger number of samples that are drawn from a population.

In this case, the center of the sampling distribution is 0.275 and the standard error is 0.063. The standard error will be:

= [p × (1 - p)]/n

= [0.275 × (1 - 0.275)]/50

= 0.0039875

= ✓0.0039875

= 0.063

Also, when the sample is 500, the center of the sampling distribution is 0.275 and the standard error is 0.020.

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