For your speech to be effective, you must carefully consider what your specific _____________ is. a. purpose b. audience c. thesis d. research Please select the best answer from the choices provided A B C D

The length of the zip line should be about 181.4 feet.

We need to first calculate the vertical drop from the top of one tree to the bottom of the other. We can use the Pythagorean theorem for that:

a^2 + b^2 = c^2

Where

Plugging in the numbers, we get:

40^2 + 130^2 = c^2

Simplifying and solving for c, we get:

c = sqrt(40^2 + 130^2) ≈ 136.42 feet

Next, we need to calculate the length of the zip line with the 5% slack and the 6-8 feet rule. Let's use x to represent the length of the zip line.

To account for the 5% slack, we need to add 5% of the length of the zip line to the vertical drop we calculated earlier:

vertical drop with slack = 1.05 * 40 = 42 feet

Now, we can use the rule of 6-8 feet of horizontal change per 100 feet of vertical change to calculate the horizontal distance that the zip line needs to cover. For every 100 feet of vertical drop, we need between 6 and 8 feet of horizontal distance. So for a vertical drop of 42 feet, we need between:

6/100 * 42 = 2.52 feet

8/100 * 42 = 3.36 feet

So the horizontal distance that the zip line needs to cover is between 2.52 and 3.36 times the vertical drop. Let's take the average of those two numbers to get a reasonable estimate:

(horizontal distance) ≈ 2.94 * (vertical drop with slack)

(horizontal distance) ≈ 2.94 * 42 = 123.48 feet

Finally, we can calculate the total length of the zip line by using the Pythagorean theorem again, this time with the horizontal distance and the distance between the trees:

x^2 = (horizontal distance)^2 + c^2

Plugging in the numbers, we ge:

x^2 = 123.48^2 + 136.42^2

Simplifying and taking the square root, we get:

x ≈ 181.4 feet

Therefore, the length of the zip line should be about 181.4 feet.

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Answer:

The correct answer is c.) 3/36.There are three favorable outcomes (2, 11, and 12) out of a total of 36 possible outcomes (assuming a fair six-sided number cube). Therefore, the probability of X being a 2, 11, or 12 is 3/36, which can be simplified to 1/12.

Step-by-step explanation:

The 96% confidence interval for the fraction of the voting population favoring the suit is 0.498< p< 0.642.

Here we have to find the confidence interval.

Given

Sample, n = 200 voters

Let x represent those that support the annexation suit.

x = 114

First, we have to calculate the probability of supporting the annexation suit.

Let p represent the probability of supporting the annexation suit.

p = x/n

p = 114/200

p = 0.57

From elementary probability;

p + q = 1 where q represents the probability of failure.

In this case, q represent the probability of not supporting the annexation suit

Substitute 0.57 for p

0.57 + q = 1

q = 1 - 0.57

q = 0.43

To find the 96% confidence interval for the fraction of the voting population favoring the suit;

The confidence interval is bounded by the following;

^p - z(α/2) √(pq/n) < p < ^p + z(α/2) √(pq/n)

At this point, we have values for p,q, and n.

Next is to solve z(α/2)

First, we'll find the value of α/2 using

C.I = 100%(1 - α) where C.I = 96%

96% = 100%(1 - α)

1 - α = 96%

1 - α = 0.96

α = 1 - 0.96

α = 0.04

So,

α/2 = 0.04/2

α/2 = 0.02

So, z(α/2) = z(0.02)

Using a normal probability table

z0.02 = 2.055 --- This is the closest value which leaves an area of 0.02 to the right and 0.98 to the left

Recalling our formula to solve 96% interval;

^p - z(α/2) √(pq/n) < p < ^p + z(α/2) √(pq/n)

By substitution, we have

0.57 - 2.055 * √(0.57*0.43/200) < p < 0.57 + 2.055 * √(0.57*0.43/200)

0.57 - 0.071939677073920 < p < 0.57 + 0.071939677073920

0.498060322926079 < p < 0.641939677073920 ---- Approximate

0.498 < p < 0.642

Therefore the confidence interval is 0.498<p<0.642.

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Answer:

23*3.324 is 76.452 yes

Step-by-step explanation:

The numbers that are definitively irrational from the given options are √0.156. Option A.

We can use the definition of irrational numbers to determine which numbers among the available possibilities are irrational. A real number that cannot be stated as a terminating or repeating decimal or as a ratio of two integers is said to be irrational.

Let's examine each choice:

√0.156: It is impossible to utilise the square root of 0.156 as a fraction, making it an irrational number. Thus, 0.156 is an irrational number.

14.19274128...: This number is expressed as a decimal with no discernible pattern or repetition. We cannot, however, conclusively decide if it is unreasonable in the absence of more details. This decimal might ultimately recur or come to an end. It would be a rational number if it did repeat or come to an end.

77.65488319: This number is expressed as a decimal with no discernible pattern or repetition. Similar to the last option, we need more information to say for sure if this one is irrational or rational.

√4/9: 4/9 has a square root of 2/3, which is a rational number. Thus, 4/9 is a rational number.

The decimal representation of this number, 253,897,615.3, suggests that it is a finite decimal. Finite decimals can be expressed as fractions, making them rational values. 253,897,615.3 is a rational number as a result.

368.5468432: This number is expressed as a decimal with no discernible pattern or repetition. Similar to the earlier instances, we lack sufficient information to say with certainty whether it is irrational or rational. The best choice is A.

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-13578 is the correct information

No , it is not possible to form a triangle with side lengths 3.5, 3.5, and 9 , because of the rule that sum of any two sides must be greater than other side. So, Option D is correct.

A triangle is a two-dimensional shape formed by three line segments connecting three points. In order to form a triangle, a necessary and sufficient condition is that the sum of the lengths of any two sides must be greater than the length of the third side. This is known as the triangle inequality theorem.

If the sum of the lengths of any two sides is less than or equal to the length of the third side, then the three line segments will not be able to form a closed shape, and therefore cannot form a triangle.

In the case of the triangle with side lengths 3.5, 3.5, and 9, the sum of the lengths of the first two sides is 7, which is less than the length of the third side, 9. Hence, these three side lengths do not satisfy the triangle inequality theorem, and therefore cannot form a triangle.

In general, to determine the type of triangle that can be formed with three given side lengths, it is necessary to compare the lengths of the sides and check if any two sides are equal in length (isosceles), or if all three sides are equal in length (equilateral). If none of the sides are equal, then the triangle is called scalene.

In this case, since it is not possible to form a triangle with the given side lengths, it is not possible to determine the type of triangle that would be formed.

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Answer:

Step-by-step explanation:

True

TRUE   AHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHH

Answer:

2p − 1

Step-by-step explanation:

I think, sry is its wrong. Do you have possible answrs?

-4p - (1 - 6p) = -4p - 1 + 6p = -4p + 6p - 1 = 2p - 1

Given:-

Solution:-

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Therefore , it will take her to read 1428 pages in 34 days.

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hope it helps! :)

Answer:

y= -x+6

Step-by-step explanation:

Answer:

3c2  + 4c − 15

Step-by-step explanation:

I tried my best if this is correct please sub to m YT I am a aspiring small creator

my YT is YoungGodlyFN.

Applying distributive property, the product of the given expression,

(3c-5)(c+3) is  3c² + 4c - 15.

In mathematics, the outcome of multiplying two integers is their product.

The given expression is,

(3c-5)(c+3)

Expanding this expression as,

3c(c+3) - 5(c+3)

Distribute the number inside the bracket we get,

3c² + 3x3c - 5c - 5x3

⇒ 3c² + 9c - 5c - 15

Combine like terms,

3c² + (9 - 5)c - 15

⇒ 3c² + 4c - 15

Thus,

(3c-5)(c+3) = 3c² + 4c - 15

Hence,

The product of the given expression is  3c² + 4c - 15.

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The equation of the line of fit, obtained from the points on the line and the point-slope form of the equation of a line is; y = -50·x/3 + 3950/3

The equation of the line of fit is the equation that best fits the data points on the graph.

The points on the graph are; (28, 850), (16, 1,050)

The above points indicates that the slope of the graph is; (1050 - 850)/(16 - 28) = -50/3

The equation of the graph in point-slope form using the point (28, 850), therefore is; (y - 850) = (-50/3)·(x - 28)

Therefore; y = -50·x/3 + 28 × 50/3 + 850

The equation of the line of fit is; y = -50·x/3 + 3950/3

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This fails to reject the null Hypothesis.

What is z test?

If the data is distributed normally, a z test can be used to determine whether the means of two populations differ from one another. The z test statistic's value must be determined, together with the null hypothesis and alternative hypothesis setups, for this reason. On the z critical value, the decision criterion is based. The distribution graph is divided into acceptance and rejection zones during hypothesis testing by the z critical value. The null hypothesis can be rejected if the test statistic lies inside the rejection region; otherwise, it cannot.

a recent survey reported that small businesses spend 24 hours a week marketing their business.

these businesses are spending less than 24 hours a week on marketing. the chamber conducts a survey of 58 small businesses within their state and finds that the average amount of time spent on marketing is 22.7 hours a week.

assuming that the population standard deviation is 6.1 hours.

z = x'- u / α(/√n) = (5.05-4.50/1.83/√38) = 1.85

Hence, This fails to reject the null Hypothesis.

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Answer:

r=7cm

Step-by-step explanation:

the diameter (distance from one side of the circle to the opposite side) is given in the picture. the radius is 1/2 the diameter, so r=7cm

*i'm assuming the 14cm given is referring to the straight line in the circle and not the circumference

Answer:

(2+3)+4 = 2+(3+4) this is an example of associative property

To calculate the probabilities in this scenario, we need to understand the concept of combinations. A combination is the number of ways to choose a specific number of objects from a larger set, without regard to the order in which the objects are chosen. In this case, we can use the formula for combinations to determine the probabilities.

(a) To find the probability that the number 3 appears at least once, we need to calculate the probability of drawing at least one 3 in four draws without replacement. We can calculate this by finding the probability of drawing no 3's and subtracting that from 1. The probability of not drawing a 3 in the first draw is 7/10, and this decreases by 1/9 in each subsequent draw. So the probability of not drawing any 3's in four draws is (7/10) x (6/9) x (5/8) x (4/7) = 0.252. Subtracting this from 1 gives us the probability of drawing at least one 3, which is 0.748.

(b) To find the probability of drawing four numbers in a strictly increasing order, we need to consider the number of ways this can be done. There is only one way to choose four numbers in a strictly increasing order, so the probability is 1/10 x 1/9 x 1/8 x 1/7 = 0.00018.

(c) To find the probability of drawing four numbers with a sum of 13, we need to consider the combinations of numbers that could add up to 13. These are: 1+2+5+5, 1+3+4+5, 2+3+4+4. For each of these combinations, we can calculate the probability of drawing them by multiplying the probabilities of each individual draw. For example, the probability of drawing 1+2+5+5 is (1/10) x (2/9) x (1/8) x (1/7) = 0.000028. The probability of drawing 1+3+4+5 is (1/10) x (2/9) x (3/8) x (1/7) = 0.000054. The probability of drawing 2+3+4+4 is (1/10) x (2/9) x (2/8) x (1/7) = 0.000042. Adding these probabilities together gives us the total probability of drawing numbers with a sum of 13, which is 0.000124.

In summary, the probabilities in this scenario can be calculated using the concept of combinations. The probability of drawing at least one 3 is 0.748, the probability of drawing four numbers in a strictly increasing order is 0.00018, and the probability of drawing numbers with a sum of 13 is 0.000124.

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Answer:

false

Step-by-step explanation:

Answer:

False, it has no solution if the lines are parallel.

Answer:

x ≈ 14.7

Step-by-step explanation:

Assuming the triangle is right then use Pythagoras' identity.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

x² + 15² = 21²

x² + 225 = 441 ( subtract 225 from both sides )

x² = 216 ( take the square root of both sides )

x = \(\sqrt{216}\) ≈ 14.7 ( to the nearest tenth )

The probability that a package of 5 tasks is processed in less than 8 minutes is 0.963.

Let X denote the time required to process a package of five tasks. X is an exponentially distributed random variable with mean 2 minutes.

The probability of X being less than 8 minutes is given by:

P(X ≤ 8) = 1 - P(X > 8)

= \(1 - (1 - e^{(-8/2)}^{5}\)

= 0.963

Therefore, the probability that a package of 5 tasks is processed in less than 8 minutes is 0.963.

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Answer:

Hello,

\(\boxed{Answer: 75}\)

Step-by-step explanation:

x,y integers, x,y >0 ,x≠y

\(\dfrac{1}{x} +\dfrac{1}{y} =\dfrac{1}{18}\\\\\dfrac{x+y}{xy} =\dfrac{1}{18}\\\\x+y=\dfrac{xy}{18}\\\\x=\dfrac{18y}{y-18}\\x=\dfrac{18y-324 +324}{y-18}\\x=18+\dfrac{324}{y-18}\\\)

\(\dfrac{1}{x} +\dfrac{1}{y} =\dfrac{1}{18}\\\\\dfrac{x+y}{xy} =\dfrac{1}{18}\\\\x+y=\dfrac{xy}{18}\\\\x=\dfrac{18y}{y-18}\\x=\dfrac{18y-324 +324}{y-18}\\x=18+\dfrac{324}{y-18}\\\begin{array}{|c|c|c|c|}y-18&y&x&x+y\\---&---&---&---\\1&19&18+324=342&362\\2&20&18+162=180&200\\3&21&126&147\\4&22&99&121\\6&24&108&132\\12&30&45&75\\18&36&36&72\\\end{array}\\\\\\\boxed{Answer: 75}\\\\\)

The probability for an aircraft to experience crosswinds upon takeoff or landing is generally greatest during the months of spring and fall, specifically in March, April, September and October.

During these months, the transition from winter to summer or summer to winter can lead to greater temperature and pressure differences between the air masses, which can create stronger winds. Additionally, these seasons are also associated with increased storm activity, which can also lead to stronger winds.

However, the probability of experiencing crosswinds upon takeoff or landing can also be affected by regional weather patterns and location, and it's always best to consult with local weather forecast and airport meteorological services before planning any flight.

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Answer:

b.

Step-by-step explanation:

100x2−20x+1

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

= (10x - 1)^2.

Step-by-step explanation:

To find the value of x, we need to isolate it on one side of the equation.

First, we can subtract 3 from both sides:

8x + 3 - 3 = 14 - 3

This simplifies to:

8x = 11

Next, we can divide both sides by 8:

8x/8 = 11/8

This gives us:

x = 11/8

So the value of x that will get us to 14 is 11/8.

Hope this helps

Answer:

Elizabeth gave away 216 marbles out of a total of 360 marbles.

To find the percentage of marbles that Elizabeth gave away, we can use the formula:

percentage = (part/whole) x 100%

where "part" is the number of marbles Elizabeth gave away, and "whole" is the total number of marbles.

So, plugging in the values we have:

percentage = (216/360) x 100%

percentage = 0.6 x 100%

percentage = 60%

Therefore, Elizabeth gave away 60% of the marbles.

In order to get the value of n, which is what we are trying to find, it is important to know how to isolate the variable.

When something is added to n, you subtract to isolate n. Going with this logic, you would multiply by a number if you wanted to isolate n with a fraction.

\(\frac{n}{5}+4=-4\)

The first step would be to get rid of the 4 on the left side so we can work on the variable. We can do this by subtracting both sides by 4, so the left side cancels out to 0.

\(\frac{n}{5}+4-4=-4-4\)

\(\frac{n}{5} =-8\)

Next, we can multiply both sides by 5, so we can isolate the variable, because it is being divided by 5.

\(\frac{n}{5} *5=-8*5\)

n=-40

Answer:

x=10

Step-by-step explanation:

6x+4+12x-4=18x=180

18x=180

x=10

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