in a chi-square test of a 5 × 5 contingency table at α = .05, the critical value is 37.65. true or false?

The correct option is last one  77 degrees.

Therefore the measure angle W is 77 degrees.

Step-by-step explanation:

Given:

Exterior angle = 122°

∠W = (2x-13)°

∠Y= x°

To Find:

∠W = (2x-13)° = ?

Solution:

Exterior Angle Property:

An exterior angle of a triangle is equal to the sum of the opposite interior angles.

Angle W and Angle Y are the interior angles of Exterior angle 122°.

∴

Substituting the values we get

Now Substitute 'x' in angle W we get

Therefore the measure angle W is 77 degrees.

Step-by-step explanation:

Answer:

- The angles in the triangle DEF must all be acute angles- angles smaller than a right angle (90 degrees) to prove an acute isosceles triangle. - The angles in the triangle DEF must all be acute angles- angles smaller than a right angle (90 degrees) to prove an acute isosceles triangle

Answer:

Question: Which characteristics will prove that ΔDEF is an acute, isosceles trianglle?

Step-by-step explanation:

Correct Choice: segment DE and segment EF are congruent to each other but not to segment DF, and their slopes are not related.

I took the test and got it right.

Answer:

Step-by-step explanation:

Straight line.

Answer:

the y-intercept is (0,4) because it's the point that's sitting on the y-axis (the one going up and down)

Step-by-step explanation:

Answer:

0.3%

Step-by-step explanation:

Answer:

0.3%

Step-by-step explanation:

Divide 6 by 2000

6/2000 = 0.003

One Way to Solve:

To convert any percentage to a decimal, move the decimal point two spaces back from the percentage

0.003 = 000.3%

Answer: Hi!

To solve this equation, we first distribute to the terms inside of the parentheses.

10*4 = 40

10*-3i = -30i

Our equation now looks like this:

40 - 30i

There is nothing left to simplify, so you're done!

Hope this helps!

Answer:

the first step is to change the mixed fraction into an improper fraction so 4 and 1/5 will be 21/5 so then you question will be three times 21/5 and the answer is 12 and 3/5

Answer:

B. 320 inches cubed

Step-by-step explanation:

A pyramid's volume is denoted by: V = (1/3) * B * h, where B is the base area and h is the height.

Here, the base is a rectangle with dimensions 10 inches by 8 inches. The area of a rectangle is denoted by: A = lw, where l is the length and w is the width. The length is 8 and the width is 10, so plug these in:

A = lw

A = 8 * 10 = 80

So, we know that B = 80.

We are also given that the height is h = 12, so plug these values into the volume formula:

V = (1/3) * B * h

V = (1/3) * 80 * 12 = 320

The answer is thus B.

Answer:b

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

28 mm is the diameter of the button, so we have to find the radius, which is half of the diameter.

28/2=14

So, the radius of this button is 14 mm

Answer:

Step-by-step explanation:

The width of a rectangle is 4 meters less than twice the length. The area is 96 square meters. Find dimensions

The estimated probability that the candidate obtains a score greater than or equal to 10 is 0.7234, rounded to four decimal places, so the answer is (A).

The number of correct answers that the candidate gets is a binomial random variable with parameters n = 40 (number of trials) and p = 1/5 (probability of success). We want to find the probability that the candidate gets a score greater than or equal to 10, which is equivalent to getting 10 or more questions correct.

Using the normal approximation to the binomial distribution with continuity correction, we can approximate the distribution of the number of correct answers by a normal distribution with mean μ = np = 40 * 1/5 = 8 and variance σ^2 = np(1-p) = 40 * 1/5 * 4/5 = 6.4.

To find the probability that the candidate gets 10 or more questions correct, we can standardize the normal distribution and use the standard normal distribution table or R to find the probability.

Let X be the number of correct answers. Then, we have:

P(X >= 10) = P((X - μ) / σ >= (10 - μ) / σ)

= P(Z >= (10 - 8) / sqrt(6.4)), where Z is a standard normal random variable.

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The person's total salary over the first 6 years is $231,750.

To determine the person's total salary over the first 6 years, we need to calculate the sum of the salary for each year.

Given information:

- Initial salary: $34,000

- Annual raise: $1,850

- Number of years: 6

To calculate the total salary, we can use the arithmetic progression formula:

[ S = frac{n}{2} left(2a + (n - 1)dright) ]

Where:

- ( S ) is the sum of the salaries

- ( n ) is the number of terms (years)

- ( a ) is the first term (initial salary)

- ( d ) is the common difference (annual raise)

Substituting the given values, we have:

[ S = frac{6}{2} left(2(34000) + (6 - 1)(1850)right) ]

Simplifying the expression:

[ S = 3 left( 68000 + 5 times 1850 right) ]

[ S = 3 left( 68000 + 9250 right) ]

[ S = 3 times 77250 ]

[ S = 231750 ]

Therefore, the person's total salary over the first 6 years is $231,750.

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The interval of probability at the confidence interval is 95% is 0.3329 , 0.4043 and the margin of error is 0.0357.

The complete question is

A survey conducted by Conquest Communications Group randomly sampled 700 registered voters in the U.S. 258 of the 700 sampled voters correctly answered that fourth graders in the U.S. are above average for overall education compared to other countries.

Choose a number between 80 and 96. This is the level of confidence you will use for this section of problems. What is your number?

It is defined as the margin by which the values calculated will differ from the real values .

Let the chosen number is 95  %

95% Confidence Interval ,

\(\rm p = p \pm \dfrac{Z_{0.05}}{2} \sqrt \dfrac{p(1-p)}{n}}\\\\= \dfrac{258}{700} \pm 1.96 \sqrt \dfrac{\dfrac{258}{700}(1-\dfrac{258}{700})}{700}}\\\)

Therefore p at 95% Confidence Interval is given by 0.3329 , 0.4043

The margin of error is given by  0.4043-0.3329

= 0.0357

Therefore the interval of probability at the confidence interval is 95% is 0.3329 , 0.4043 and the margin of error is 0.0357.

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Using the formula of volume of rectangular prism;

1. The volume of the rectangular prism is 3672cm³

2. The volume of the rectangular prism is 630in³

3. The volume of the rectangular prism is  3744ft³

The volume of a rectangular prism can be calculated by multiplying its length (l), width (w), and height (h). The formula for the volume of a rectangular prism is:

Volume = length × width × height

V = l × w × h

By substituting the given values for the length, width, and height into the formula, you can calculate the volume of the rectangular prism.

1. To find the volume of the rectangular prism, we have to substitute the value into the formula;

v = 9 * 24 * 17

v = 3672cm³

2. The volume of the rectangular prism is given as;

v = 4.5 * 14 * 10

v = 630in³

3. The volume of the rectangular prism is given as;

v = 8 * 12 * 39

v = 3744ft³

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6) m<ABC = m<ABK + m<CBK

157° = (4x + 10) + (14x +3)

157° = 18x + 13

x = 8°

m<CBK = 14(8°) + 3

m<CBK = 115°

7) am not sure, i think b

the maximum height of a quadratic equation can be find Use the formula: x = -b / (2a) then Substitute the value of x back into the quadratic equation to find the corresponding maximum height.

To find the maximum height of a quadratic equation, you need to determine the vertex of the parabolic curve. The vertex represents the highest or lowest point of the quadratic function, depending on whether it opens upward or downward.

A quadratic equation is generally written in the form of y = ax² + bx + c, where "a," "b," and "c" are coefficients.

The x-coordinate of the vertex can be found using the formula: x = -b / (2a). This formula gives you the line of symmetry of the parabola.

Once you have the x-coordinate of the vertex, substitute it back into the original equation to find the corresponding y-coordinate.

The resulting y-coordinate represents the maximum height (if the parabola opens downward) or the minimum height (if the parabola opens upward) of the quadratic equation.

Here's an example:

Consider the quadratic equation y = 2x² - 4x + 3.

1. Identify the coefficients:

a = 2

b = -4

c = 3

2. Find the x-coordinate of the vertex:

x = -(-4) / (2 * 2) = 4 / 4 = 1

3. Substitute x = 1 back into the equation to find the y-coordinate:

y = 2(1)² - 4(1) + 3 = 2 - 4 + 3 = 1

Therefore, the maximum height of the quadratic equation y = 2x² - 4x + 3 is 1.

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The maximum height of a quadratic equation can be found by determining the vertex of the parabolic shape represented by the equation. The x-coordinate of the vertex can be found using the formula x = -b / (2a), and the corresponding y-coordinate represents the maximum height.

To find the maximum height of a quadratic equation, we need to determine the vertex of the parabolic shape represented by the equation. The vertex is the point where the parabola reaches its highest or lowest point.

The general form of a quadratic equation is ax^2 + bx + c, where a, b, and c are constants. To find the x-coordinate of the vertex, we can use the formula x = -b / (2a).

Once we have the x-coordinate, we can substitute it back into the equation to find the corresponding y-coordinate, which represents the maximum or minimum height of the quadratic equation.

Let's take an example to illustrate this process:

Suppose we have the quadratic equation y = 2x^2 + 3x + 1. To find the maximum height, we first need to find the x-coordinate of the vertex.

Using the formula x = -b / (2a), we can substitute the values from our equation: x = -(3) / (2 * 2) = -3/4.

Now, we substitute this x-coordinate back into the equation to find the y-coordinate: y = 2(-3/4)^2 + 3(-3/4) + 1 = 2(9/16) - 9/4 + 1 = 9/8 - 9/4 + 1 = 9/8 - 18/8 + 8/8 = -1/8.

Therefore, the maximum height of the quadratic equation y = 2x^2 + 3x + 1 is -1/8.

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The perimeter of the rectangle with length 8x - 1 and width 10x + 3 is 20x + 6

What is perimeter of the rectangle?

The perimeter of the rectangle with length 8x - 1 and width 10x + 3 is 20x+ 6

The formula for calculating the perimeter of a rectangle is expressed as:

P = 2( l + w)

Given the following parameters

length l = 8x - 1

width w = 2x + 4

Substitute the expressions for the length and width into the formula;

P = 2(8x - 1 + 2x + 4)

P = 2(10x + 3)

Distribute 2 over each term in the parenthesis

P = 2(10x) + 2(3)

P = 20x + 6

Hence the perimeter of the rectangle with length 8x - 1 and width 10x + 3 is 20x + 6.

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The complete question is -

The perimeter formula for a rectangle is 2l + 2w, where l is the length and w is the width. Complete the steps to find an expression that represents the perimeter of the rectangle. Substitute the expressions for length and width into the formula 2l + 2w. Distribute 2 to each term in the parentheses. Combine like terms. inches

There are several different sampling methods that could be employed for this study, including:

Simple random sampling: This method involves randomly selecting a certain number of students from each campus and measuring the distance between their hometowns and their campuses.

Stratified random sampling: This method involves dividing the student population at each campus into different strata (e.g. by major or year in school) and then randomly selecting a certain number of students from each stratum.

Cluster sampling: This method involves randomly selecting a certain number of campuses and then measuring the distance between the hometowns of all students at those campuses and their respective campuses.

Multi-stage sampling: This method involves using a combination of the above methods, such as first using cluster sampling to select a certain number of campuses and then using stratified random sampling to select a certain number of students from each campus.

This study would be an enumerative study because it seeks to measure the characteristics of a population, in this case, the average distance between the hometowns of students and their campuses, by counting and measuring them.

It is not an analytic study because it doesn't involve testing a hypothesis or making causal inferences.

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Answer:

Amount earned = $151,113

Step-by-step explanation:

Here, we are interested in calculating the banker’s earnings rounded to the nearest dollar;

We proceed as follows; we have the following;

1. Annual salary of $75,000

2. 2.35% on approved loans.

Approved loans = 2.8 million

Commission = 2.35/100 * 2.8 million = $65,800

3. $3.75 for each processed loan application

Total = 2750

Amount = 3.75 * 2750 = $10,312.50

Total amount earned is thus;

$75,000 + $65,800 + $10,312.50 = 151,112.5 = 151,113 to the nearest dollar

Answer:

do r best the answer is i think is $151,113

Step-by-step explanation:

Answer: B and C

Step-by-step explanation: If you subtract 23 from 23/ 23-23=0 and 23-(-23)= 0. Hope this helps

Answer:

i would say its d. 80

Step-by-step explanation:

cause 24/3 is 8

so 10 x 8 is 80

The relational algebra operator that selects rows from a single table based on a specified condition is called the "selection" operator.

In relational algebra, the "selection" operator is used to filter rows from a single table based on a given condition or predicate. It is denoted by the Greek symbol sigma (σ). The selection operator allows us to retrieve a subset of rows that satisfy a particular condition specified in the query.

The selection operator takes a table as input and applies a condition to each row. If a row satisfies the specified condition, it is included in the output; otherwise, it is excluded. The condition can be any logical expression that evaluates to true or false. Commonly used comparison operators like equal to (=), not equal to (<>), less than (<), greater than (>), etc., can be used in the condition.

For example, consider a table called "Employees" with columns like "EmployeeID," "Name," and "Salary." To retrieve all employees with a salary greater than $50,000, we can use the selection operator as follows: σ(Salary > 50000)(Employees). This operation will return a new table containing only the rows that meet the specified condition.

Overall, the selection operator in relational algebra enables us to filter and extract specific rows from a table based on desired conditions, allowing for flexible and precise data retrieval.

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Answer:

it is a rational number, a integer, and a real number. It is NOT a whole number

Step-by-step explanation:

Answer:

It is not a whole number when compared to other answers.

Answer:

perimeter = 50.9

area = 113.73

Step-by-step explanation:

To calculate the perimeter, we can go ahead and add up each of the side lengths. Note that BC = 8.1 cm because it is congruent to HG.

To find AB, we can use the Pythagorean theorem on triangle ABH.

\(AB^2+7^2=8.3^2 \implies AB = 4.5\)

Adding up all these side lengths, we get:

P = 8.1 + 4.3 + 12.2 + 5.4 + 8.1 + 4.5 + 8.3 = 50.9

To calculate the area, we can calculate the area of each shape individually then add them up.

Area of ABH = 1/2 * 4.5 * 7 = 15.75

Area of HBGC = 8.1 * 7 = 56.7

Area of GCDF = 1/2 * (7 + 12.2) * 4.3 = 41.28

Adding up all these areas, we get:

A = 15.75 + 56.7 + 41.28 = 113.73

if this helps, it would help me out if you marked this brainliest :)

Answer:

1) associative property addition

2) The Distributive Property

3) associative property multiplication

4) Commutative property of multiplication

5) associative property addition

I hope this helps a little bit.

Answer:

11) 80°

12) 80°

13) 80°

14) 40°

15) 60°

16) 120°

17) 180°

18) 100°

19) 120°

20) 280°

Step-by-step explanation:

This will take awhile, so I will just give you the theorems I used to determine my answer.

11) Supplementary angles theorem

12) Central Angles/Arcs Theorem

13) Vertical Angles Theorem

14) Central Angles/Arcs Theorem

15) Vertical Angles Theorem (The vertical angle minus 40 would equal 60)

16) Supplementary Angles Theorem (Supplementary to 100 degrees)

17) Central Angles/Arc Theorem

18) Vertical Angles & Central Angles/Arc Theorem

19) Angle Addition Postulate, somewhat

20) Angle Addition Postulate

Have a nice day, fam. This problem really worked my brain. Spread The Love.

Answer:

16

Step-by-step explanation:

Answer:

To find the slope of the parallel and perpendicular lines to the equation y = 3/4x + 4, we need to use the fact that parallel lines have the same slope, while perpendicular lines have opposite reciprocal slopes.

The given equation is in slope-intercept form, y = mx + b, where m is the slope of the line and b is the y-intercept.

Therefore, the slope of the given line y = 3/4x + 4 is 3/4.

To find the slope of a line parallel to this one, we know that it must have the same slope. Therefore, the slope of the parallel line is also 3/4.

To find the slope of a line perpendicular to this one, we need to take the opposite reciprocal of the slope. The opposite reciprocal of 3/4 is -4/3. Therefore, the slope of the perpendicular line is -4/3.

In summary, the slope of the parallel line is 3/4, and the slope of the perpendicular line is -4/3.

To calculate the future value (FV) of $200 under different compounding periods, we can use the formula for compound interest:

FV = P(1 + r/n)^(nt)

where:

FV = Future Value

P = Principal amount (initial investment)

r = Annual interest rate (as a decimal)

n = Number of compounding periods per year

t = Number of years

Given:

P = $200

r = 4% = 0.04

t = 6 years

a. Compounded annually:

n = 1

FV = 200(1 + 0.04/1)^(1*6) = $200(1.04)^6 ≈ $251.63

b. Compounded semiannually:

n = 2

FV = 200(1 + 0.04/2)^(2*6) = $200(1.02)^12 ≈ $253.72

c. Compounded quarterly:

n = 4

FV = 200(1 + 0.04/4)^(4*6) = $200(1.01)^24 ≈ $254.92

d. Compounded monthly:

n = 12

FV = 200(1 + 0.04/12)^(12*6) = $200(1.0033)^72 ≈ $255.23

e. Compounded daily:

n = 365

FV = 200(1 + 0.04/365)^(365*6) = $200(1.0001096)^2190 ≈ $255.26

f. The observed pattern of future values (FVs) increasing with more frequent compounding is due to the effect of compounding interest more frequently. As the compounding periods increase (annually, semiannually, quarterly, monthly, daily), the interest is added to the principal more often, allowing for more significant growth over time. This compounding effect leads to slightly higher FVs as the compounding periods become more frequent.

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Answer:

B: 16

Step-by-step explanation:

The leg's lengths squared must add up to the hypotenuse squared.

12^2 = 144

20^2 = 400

400-144=256

16^2=256

So the answer is 16.

x=16

Answer:

y = 100,000 (1 + 0.04) ²⁰

Step-by-step explanation:

Here:

100,000 = original amount.

0.04 = rate (a percent)

and

20 = number of times you need to run the simulation.