If a polygon has exactly 4 sides, it is a quadrilateral. State the contrapositive of the conditional statement. A) If a polygon is a quadrilateral, it has exactly 4 sides. B) If a polygon is a quadrilateral, it does not have exactly 4 sides. C) If a polygon is not a quadrilateral, it does not have exactly 4 sides. D) If a polygon does not have exactly 4 sides, it is not a quadrilateral.

The image showing the locus points equidistant from X, Y, and Z is B. See the attached image.

If the distances between a point and each object in the set are equal, the point is said to be equidistant from the set.

When a point is equidistant from two other points, it is at the same distance from both of them. The distance between two points may be computed using the distance formula and the coordinates of the two points.

In geometry, a locus is a set of points that satisfy a specific condition or circumstance for a form or figure. The locus is pluralized as loci. The region is the location of the locus. The term locus comes from the word location.

Thus, the point that is equidistant from X, Y, and Z is B.

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The contrast coefficients would be as follows:

The farmers are interested in whether there is any difference between the low-low combination (it is the cheapest) and the average of the remaining three levels. The hypotheses they want to test are:

To test this hypothesis, the following contrast would be used:

To compare the high- to low-nitrogen content fertilizers, the following contrast would be used:

To compare the high- to low-phosphorus content fertilizers, the following contrast would be used:

To compare the ll combination to the hh combination, the following contrast would be used:

For each of the contrasts above, the contrast coefficients would be as follows:

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Answer:

x=-5

Step-by-step explanation:

The of  alternative hypothesis, indicating that the mean level of the pollutant has indeed been reduced.

The hypotheses to test if the mean level of the pollutant has been reduced would be:

Null Hypothesis (H0): The mean level of the pollutant is not significantly different from the previous average level of 180 ppm.

Alternative Hypothesis (Ha): The mean level of the pollutant is significantly lower than the previous average level of 180 ppm.

The null hypothesis assumes that there is no significant reduction in the mean level of the pollutant, while the alternative hypothesis suggests that there is a significant decrease in the mean level.

By conducting a hypothesis test, statistical analysis can be used to determine if there is enough evidence to reject the null hypothesis in favor .

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Answer:

Step-by-step explanation:

Horizontal line:

Vertical line:

The intersection is (m, k)

No substitution is possible, as no variables to substitute

No

One is horizontal lines

That should be in this form

a is any number

A line is vertical

Look at both equations

a and b are not equal plus there is no x in horizontal line and no y in vertical line.

There is nothing to substitute

The solution will come (b,a)

Answer:

no outlier

Step-by-step explanation:

An outlier is basically a number that "different" or "outcast" in a group of numbers.

If we look at this data set, there are no particular outliers that are "different" or an "outcast."

Therefore, the answer is no outliers.

We would need to flip the coin 107 times to obtain a 90% confidence interval with a width of at most 0.16 for the probability of flipping a head.

To answer this question, we can use the formula for the margin of error in a binomial proportion confidence interval, which is:

Margin of Error = z*sqrt(p*(1-p)/n)

Here, z is the z-score corresponding to the desired level of confidence (90% = 1.645), p is the estimated probability of flipping heads (which we assume to be 0.5 for a fair coin), and n is the sample size we need to determine.

We want the margin of error to be at most 0.16, so we can plug in these values and solve for n:

0.16 = 1.645*sqrt(0.5*(1-0.5)/n)

Squaring both sides and rearranging, we get:

n = (1.645/0.16)^2 * 0.5*(1-0.5)

n ≈ 84.18

So we would need to flip the coin at least 85 times to obtain a 90% confidence interval for the probability of flipping a head with a width of at most 0.16. Note that this assumes that the coin is actually fair – if it is biased towards heads or tails, we may need a larger sample size to achieve the same level of precision.

To find the required number of coin flips for a 90% confidence interval with a width of at most 0.16, we can use the formula for the margin of error in a proportion:

Margin of Error = Z * sqrt(p * (1-p) / n)

Here, Z is the Z-score corresponding to the desired confidence level (90%), p is the suspected probability of flipping a head (0.5, since we suspect the coin is fair), and n is the number of flips we want to find.

For a 90% confidence interval, the Z-score is approximately 1.645 (you can find this from a Z-table). The margin of error is half the width of the confidence interval, so in this case, it's 0.16 / 2 = 0.08.

Now, we can plug these values into the formula and solve for n:

0.08 = 1.645 * sqrt(0.5 * (1-0.5) / n)

Squaring both sides, we get:

0.0064 = 2.706025 * (0.5 * 0.5) / n

To isolate n, we can rearrange the equation:

n = 2.706025 * (0.5 * 0.5) / 0.0064

n ≈ 106.09

Since we cannot have a fraction of a coin flip, we round up to the nearest whole number. Thus, we would need to flip the coin 107 times to obtain a 90% confidence interval with a width of at most 0.16 for the probability of flipping a head.

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Answer:

ummmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm

Step-by-step explanation:

yo bro math sucks you feel me

Answer:

4/5

Step-by-step explanation:

hope it helped :)

Answer:

1) z=?

using similar triangles:

x / z = (8+x) / 20

20x / (8+x) = z since x=8

z = 20(8) / (8+8) = 160 / 16 = 10

or

Midsegment theorem:

z = (1/2)(20) = 10

2) x = (1/2)(13) = 6.5

or

ratio of similar triangles:

4/ x = 8/13

x = 4(13)/8 = 6.5

3) x = 2(10) = 20

or

similar triangles:

a/10 = 2a/x

ax = 20a

x = 20

4) a/5 = 2a/(x+1)

a(x+1) = 10a

x+1 = 10

x = 10 -1 = 9

5)

similar triangles:

a/31 = 2a/2x

a(2x) = 62a

2x = 62

x = 31

midsegment theorem:

2x = 2(31)

2x = 62

x = 31

The total number of tickets they bought was 3.

What is a math riddle?

To solve a math riddle, children must translate a few sentences from a real-life scenario into the correct combination of mathematical equations. Children can decipher any code, including math riddles, using logic, creative problem-solving, and common sense.

Total 3 tickets-

Grandfather-Also Father of His son

Father-Also son of his father.

Son.

So Two fathers and two sons.

Hence, a total of 3 tickets were bought.

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The probability of 12 power failures occurring in a semester is approximately 0.065 or 6.5%.

To calculate the probability of 12 power failures occurring in a semester, we need to use the Poisson distribution, which models the number of events that occur in a fixed interval of time or space.

The Poisson distribution is appropriate when the events occur randomly and independently, and the rate of occurrence is constant.

The Poisson distribution has a single parameter, lambda (λ), which represents the mean and variance of the distribution. In this case, λ = 2 power failures per month * 6 months in a semester = 12 power failures per semester.

Using the Poisson probability mass function, we can calculate the probability of exactly 12 power failures in a semester:

P(X = 12) = (e^(-λ) * λ^12) / 12!

= (e^(-12) * 12^12) / 12!

≈ 0.065

This means that in a large number of semesters, we would expect to observe 12 power failures in about 6.5% of them.

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The confidence interval is used to estimate the average age of all Pokémon players. Option(a) is correct.

A confidence interval displays the probability that a parameter will fall between two values close to the mean. Confidence intervals express the degree of certainty or unpredictability of a sampling technique.

The importance of a proposed (hypothesized) relationship between population statistics (parameters) and their corresponding sample estimators is examined using a hypothesis test, a statistical inference technique.

We employ confidence intervals whenever we want to estimate any parameters.

To Calculate the estimated mean we use the confidence interval formula

(X bar ± Z*σ/√n)

So option (a) is correct.

Therefore confidence interval is used to estimate the average age of all Pokémon players.

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Answer:

Susan is typing 8 words per minutes because, if she is typing 64 words in 8 minutes, you have to divide 64 by 8 to get the answer 8

Mark as brainliest

Step-by-step explanation:

Answer:

8wpm

Step-by-step explanation:

all you have to do is find the unit rate so

64 ÷ 8 = 8

8/1

8 words per minute!

Let y = 4x + 9

4x = y - 9

x = (y-9) / 4

f(x) = (x-9) / 4

If the dog has a z-score of -1.09, his weight is 48.46kg but if the dog has a z-score of 1.09, his weight is 61.54kg according to given standard deviation.

What is standard deviation?

Standard Deviation is a measure that shows what quantity variation (such as unfold, dispersion, spread,) from the mean exists. the quality deviation indicates a “typical” deviation from the mean. it's a well-liked live of variability as a result of it returns to the first units of live of the info set.

Main body:

The z score is used to determine by how many standard deviations the raw score is above or below the mean. It is given by:

z = x- υ/σ

Given that μ = 55, σ = 6;

For x = 49:

z = 49 - 55/6

z = -1

If the dog has a z-score of -1.09, his weight is:

-1.09 = x -55/6

x - 55 = -6.54

x = 48.46

If the dog has a z-score of 1.09, his weight is:

1.09 = x - 55/6

x -55 = 6.54

x = 61.54

Hence ,If the dog has a z-score of -1.09, his weight is 48.46kg but if the dog has a z-score of 1.09, his weight is 61.54kg

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Answer: angles EBA and HBI are congruent

Step-by-step explanation:

they are the congruent because they are verticle angles

Answer:

6x+9

(2x+3)3

you would distribute 3 into 3 and 2x to get...

6x+9

Answer:

Probability of an even number product as requested = 7/10 = .7 = 70%

Step-by-step explanation:

Combinations of 2 digits from among 5 = 5!/(3!)(2!) = 10. Those combinations of 2 digits resulting in an even number product are even*even and even*odd. There are 2 even digits, (2,4) and 3 odd digits, (1,3,5).

Combinations of 2 even digits and 3 odd digits = 3*2 = 6. Combinations of 2 exact digits = 1*1 = 1. Thus, 6+1 = 7 different 2-digit products result in even numbers from among 10 possible 2-digit products.

Probability of an even number product as requested = 7/10 = .7 = 70%

Answer:

? = 10

Step-by-step explanation:

Let " ? " be x.

5 / x = x / 20

x * x = 5 * 20

x² = 100

[ 100 = 10 x 10 = 10² ]

x² = 10²

x = 10

what is the ratio of the two people in simplest form

kojo s distance is to yaws distance

this is to say that 250m/ 60m. : 300m/60m

this is dividend by 60m because it is the same time

now divide by 60 each

4.2m. is to 5

put simply. that 4.2:5.0

Answer:

x = 25.540 degrees

Step-by-step explanation:

When computing the value of x, there are various ways to solve with given information.

The easiest way is to set up the equation: cos(20 degrees) = 24/x

Cosine is adjacent over the hypotenuse.

The given statement is true. If f '(x) < 0 for 7 < x < 10, then f is decreasing on (7, 10).

If f '(x) < 0 for 7 < x < 10, then f is decreasing on (7, 10).

Declining Function: A function f is said to be decreasing on an interval I if for any two values x₁ and x₂ in I, with x₁ < x₂, then f (x₁) > f (x₂).

Since f '(x) < 0 for 7 < x < 10, it implies that the slope of the tangent line to the curve at every point in the interval (7,10) is negative. That means the graph of f is declining in that interval.

Therefore, the given statement is true. If f '(x) < 0 for 7 < x < 10, then f is decreasing on (7, 10).
This is because a negative first derivative, f'(x), indicates that the function is decreasing. The fact that f'(x) < 0 for all values of x in the given interval (7, 10) implies that the function is continuously decreasing throughout that interval.

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The length of the rectangle is equal to \(L < 11\;inches\).

Given the following data:

To write an equation and solve for the length of the rectangle:

Mathematically, the area of a rectangle is given by this formula:

\(A=LW\)

Where:

Substituting the given parameters into the formula, we have;

\(5L < 55\\\\L < \frac{55}{5} \\\\L < 11\;inches\)

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Answer:

d. no; 0.7+1.4=2.1 is the answer...

because for forming a triangle the sum of two sides should be greater than the third side always.

while in this case it is equal so it is not possible to form a triangle...

Applying combinatorics without repetition, the championship has 18 participating teams (n = 18). A solution algorithm is shown to describe the steps for the calculation.

Definir n,fr,r,fn,fnr,nCr Como Real

fr <- 1

n <- 2 // Unknown variable (number of teams)

r <- 2 // Each match consists of 2 team

Para f<-r Hasta 1 Con Paso -1 Hacer

 fr <- fr*f

FinPara

Repetir

 fn <- 1

 fnr <- 1

 Para f<-n Hasta 1 Con Paso -1 Hacer

  fn <- fn*f

 FinPara

 Para f<-n-r Hasta 1 Con Paso -1 Hacer

  fnr <- fnr*f

 FinPara

 nCr <- fn/(fr*fnr)

 Escribir '**************'

 Escribir 'n! = ',fn

 Escribir 'r! = ',fr

 Escribir '(n-r)! = ',fnr

 Escribir 'nCr = ',nCr

 n <- n+1

Hasta Que nCr=153

Escribir 'Number of teams participating in the championship:: ',n-1

FinAlgoritmo

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