Two sides of a triangle measure 25 cm and
35 cm. Which of the following could be
the measure of the third side?
0 11 cm
O 6cm
O 8 cm
O 3 cm

a. The probability of success (hitting the target) is constant for each trial (88% or 0.88).

b. The probability of hitting the 6th target is:

P(X = 1) = C(1, 1) * 0.88^1 * (1 - 0.88)^(1 - 1) = 0.88

c. Using the binomial probability formula as before, with p = 0.88 and n = 3:

P(X = 1) = C(3, 1) * 0.88^1 * (1 - 0.88)^(3 - 1)

P(X = 2) = C(3, 2) * 0.88^2 * (1 - 0.88)^(3 - 2)

P(X = 3) = C(3, 3) * 0.88^3 * (1 - 0.88)^(3 - 3)

a) The three characteristics of this scenario that indicate we are working with Bernoulli trials are:

The experiment consists of a fixed number of trials (eight shots).

Each trial (shot) has two possible outcomes: hitting the target or missing the target.

The probability of success (hitting the target) is constant for each trial (88% or 0.88).

b) To find the probability of hitting the 6th target (considered as a single trial), we can use the binomial probability formula:

P(X = k) = C(n, k) * p^k * (1 - p)^(n - k)

where:

P(X = k) is the probability of getting exactly k successes,

C(n, k) is the binomial coefficient or number of ways to choose k successes out of n trials,

p is the probability of success in a single trial, and

n is the total number of trials.

In this case, k = 1 (hitting the target once), p = 0.88, and n = 1. Therefore, the probability of hitting the 6th target is:

P(X = 1) = C(1, 1) * 0.88^1 * (1 - 0.88)^(1 - 1) = 0.88

c) To find the probability that the first time hitting the target is not until the 4th shot, we need to consider the complementary event. The complementary event is hitting the target before the 4th shot.

P(not hitting until the 4th shot) = P(hitting on the 4th shot or later) = 1 - P(hitting on or before the 3rd shot)

The probability of hitting on or before the 3rd shot is the sum of the probabilities of hitting on the 1st, 2nd, and 3rd shots:

P(hitting on or before the 3rd shot) = P(X ≤ 3) = P(X = 1) + P(X = 2) + P(X = 3)

Using the binomial probability formula as before, with p = 0.88 and n = 3:

P(X = 1) = C(3, 1) * 0.88^1 * (1 - 0.88)^(3 - 1)

P(X = 2) = C(3, 2) * 0.88^2 * (1 - 0.88)^(3 - 2)

P(X = 3) = C(3, 3) * 0.88^3 * (1 - 0.88)^(3 - 3)

Calculate these probabilities and sum them up to find P(hitting on or before the 3rd shot), and then subtract from 1 to find the desired probability.

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Answer:

Hi, there for x it will be x=−2y+6

But if your solving for y it will be \(y=-\frac{1}{2}x+3\)

Hope this Helps :)

Step-by-step explanation:

Let's solve for x.

2x+4y=12

Step 1: Add -4y to both sides.

2x+4y+−4y=12+−4y

2x=−4y+12

Step 2: Divide both sides by 2.

\(\frac{2x}{2}=\frac{-4y+12}{2}\)

x=−2y+6

2.

Let's solve for y.

2x+4y=12

Step 1: Add -2x to both sides.

2x+4y+−2x=12+−2x

4y=−2x+12

Step 2: Divide both sides by 4

\(\frac{4y}{4} =\frac{-2x+12}{4}\)

\(y=-\frac{1}{2} x+3\)

Total distance of the triathlon race is 23.34 kilometers.

Reg enters a triathlon race. He swims 1.25 kilometers, bikes 20.5 kilometers, and runs 1.59 kilometers.

The total distance of the race is 23.34 kilometers.

Reg enters a triathlon race.

He swims 1.25 kilometers, bikes 20.5 kilometers, and runs 1.59 kilometers.

In order to calculate the total distance of the race, we need to find the sum of the distance Reg swam, biked and ran. Therefore, Total distance = Distance swam + Distance biked + Distance ranTotal distance = 1.25 + 20.5 + 1.59 km

Total distance = 23.34 km.

The summary of this problem is that the total distance of the triathlon race is 23.34 kilometers.

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Step-by-step explanation:

To find the common difference of the sequence subtract the previous term from the next term

That's

d = 9 - 5 = 4 or

d = 13 - 9 = 4 or

d = 17 - 13 = 4

Since it's the same for any of the terms chosen

The common difference = 4

The sequence above is an arithmetic sequence

For an nth term in an arithmetic sequence

A(n) = a + ( n - 1)d

where a is the first term

n is the number of terms

d is the common difference

From the question

a = 5

d = 4

We have

A(n) = 5 + ( n - 1)4

= 5 + 4n - 4

= 4n + 5 - 4

We have the answer as

To find the 25th term substitute the value of n that's 25 into the formula

We have

A(25) = 4(25) + 1

= 100 + 1

We have the final answer as

Hope this helps you

To ensure that the integral test can be applied to the series, it is necessary to verify that the function f is continuous, positive, and decreasing.

The integral test is a method used to determine whether an infinite series converges or diverges based on the convergence of the corresponding improper integral. Suppose that f is a positive, decreasing, and continuous function on [1, ∞) such that f(n) = a_n for each n ∈ ℕ. Then, the infinite series ∑a_n converges if and only if the improper integral ∫f(x) dx from 1  ∞ converges.

A few steps to be taken for applying the integral test:

Verify that the function f is continuous, positive, and decreasing on the interval [1, ∞).

Compute the integral ∫f(x) dx from 1 to ∞.

The integral ∫f(x) dx converges if and only if the series ∑a_n converges.

If the integral diverges, the series diverges.

If the integral converges, the series may converge or diverge.

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Answer:

y=-12+2x

Step-by-step explanation:

The equation was transformed step-by-step to isolate y on one side, and we obtained y = 2x - 12 as the final solution.

Hence, the correct answer is A. y = 2x - 12.

Given is an equation 6x - 3y = 36, we need to solve for y.

To solve the equation 6x - 3y = 36 for y, we need to isolate y on one side of the equation.

Here's the step-by-step process:

Start with the given equation: 6x - 3y = 36

Get rid of the constant term (36) on the right side by subtracting 36 from both sides:

6x - 3y - 36 = 36 - 36

6x - 3y = 0

Divide both sides of the equation by -3 to isolate y:

(6x - 3y) / -3 = 0 / -3

(6x)/(-3) - (3y)/(-3) = 0

-2x + y = 0

Add 2x to both sides to isolate y:

-2x + y + 2x = 0 + 2x

y = 2x

So, the equation was transformed step-by-step to isolate y on one side, and we obtained y = 2x - 12 as the final solution.

Hence, the correct answer is A. y = 2x - 12.

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Answer:

\(90 { \: cm}^{2} \)

Step-by-step explanation:

First, we can find one triangle's area (they are all the same and isosceles):

h = XY = 6 cm, a = BC = 5 cm

\(s(triangle) = \frac{1}{2} \times h \times a = \frac{1}{2} \times 6 \times 5 = 15\)

And now, multiply this number by 6 (since there are 6 of these identical triangles):

S(hexagon) = 15 × 6 = 90 cm^2

There are 5040 possible combination of 7 letter words using 3 vowels and 4 consonants.

We know that the word must have 4 consonants and 3 vowels. We have the following vowels in "mathisfun" : i, a, and u.

We have 7 letters that can be used as consonants: m,t,h,s,f,n.

First we need to find the number of ways to choose the 4 consonants out of 7 possible letters, which is 7C4 = 35.

Then we need to find the number of ways to arrange the 4 consonants and 3 vowels, which is 4!*3! = 144

Finally, we multiply those two values together: 35 * 144 = 5040.

So there are 5040 7 letter words that can be made from "mathisfun" if each word must have 4 consonants and 3 vowels.

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a) To determine if the treatment has a significant effect, we can perform a hypothesis test using the sample mean. The null hypothesis (H0) states that the treatment has no effect, while the alternative hypothesis (H1) states that the treatment does have an effect. In this case, we are conducting a two-tailed test with α = 0.05, meaning we are looking for extreme values in both tails of the distribution.

b) Using the same approach as in part a, we can calculate the z-score with a population standard deviation of σ = 12. Given M = 54, μ = 50, σ = 12, and n = 16, the z-score is calculated as z = (54 - 50) / (12 / √16) = 1.

To perform the test, we can calculate the z-score using the formula: z = (M - μ) / (σ / √n), where M is the sample mean, μ is the population mean, σ is the population standard deviation, and n is the sample size. In this case, M = 54, μ = 50, σ = 8, and n = 16.

Plugging these values into the formula, we get z = (54 - 50) / (8 / √16) = 2. Using a z-table or a statistical calculator, we find that the critical z-value for a two-tailed test with α = 0.05 is approximately ±1.96.

Since our calculated z-value of 2 is greater than the critical value of 1.96, we reject the null hypothesis. This means that the sample mean of 54 is statistically significant and provides evidence that the treatment has a significant effect.

Comparing the calculated z-value of 1 to the critical z-value of 1.96, we see that the calculated value is less than the critical value. Therefore, we fail to reject the null hypothesis.

In other words, the sample mean of 54 is not statistically significant when the population standard deviation is 12, and we do not have sufficient evidence to conclude that the treatment has a significant effect.

The magnitude of the standard deviation (σ) plays a crucial role in hypothesis testing. A larger standard deviation indicates that the data points are more spread out from the mean, resulting in a wider distribution. As a result, it becomes more challenging to detect a significant effect of the treatment, as the variability in the data increases. This is evident when comparing parts a and b of the question.

In part a, where the population standard deviation is σ = 8, the calculated z-value of 2 exceeds the critical value of 1.96. This indicates that the sample mean of 54 is statistically significant, suggesting a significant effect of the treatment.

On the other hand, in part b, where the population standard deviation is larger at σ = 12, the calculated z-value of 1 is smaller than the critical value.

Consequently, we fail to reject the null hypothesis, implying that the sample mean of 54 is not statistically significant, and we cannot conclude that the treatment has a significant effect.

Thus, a larger standard deviation reduces the ability to detect a  significant effect in a hypothesis test.

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Answer:on what

Step-by-step explanation: L

Answer:

1.8xN=10.62

Step-by-step explanation:

subtract the 1.8 from both sides

Then you have the answer

A fitness center is interested in finding a 90% confidence interval for the mean number of visits per week that Americans who are members of a fitness club go to their fitness center, a distribution is used.

To compute a confidence interval, a distribution is used. In this case, since the sample size is large (257 members), the distribution used is the standard normal distribution. The formula to calculate the confidence interval is:

Confidence Interval = sample mean ± (critical value) * (standard deviation / √n)

The critical value is determined based on the desired level of confidence. For a 90% confidence level, the critical value corresponds to the 5th percentile and the 95th percentile of the standard normal distribution.

Using the given information, the sample mean is 2.6, the standard deviation is 1.3, and the sample size is 257. Plugging these values into the formula, we can calculate the lower and upper bounds of the confidence interval.

The resulting confidence interval will provide an estimate of the range within which the true population mean number of visits per week is likely to fall, with 90% confidence.

If many groups of 257 randomly selected members are studied, each group will produce a different confidence interval. The true population mean number of visits per week will be contained within a certain percentage of these intervals, which is determined by the chosen confidence level (90% in this case). The remaining percentage of intervals will not contain the true population mean. The exact percentages can be calculated based on the properties of confidence intervals and the concept of coverage probability.

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Answer: 1) 8x + 2 = 90 1a. 11 2. 13x-10= 133 2a. 11

Both solve for 11.

Step-by-step explanation: 1) they’re both the same measure so they equal each other

Subtract 2 from each side 8x = 88 and x is 11

13x - 10 = 133 they’re both the same measures so they equal each other.

Add 10 to both sides because it’s already negative and 13x = 143 and you get 11

Answer:

11 for both

Step-by-step explanation:

The expression x² - 10x + 24 can be factored into two binomial factors: (x - 4)(x - 6).

To factor the expression x² - 10x + 24, we need to find two binomial factors that, when multiplied, result in the original expression.

First, we look for two numbers whose sum is equal to the coefficient of the middle term (-10) and whose product is equal to the constant term (24). In this case, the numbers are -4 and -6.

Next, we rewrite the middle term (-10x) as the sum of these two numbers: -4x - 6x.

Now, we can group the terms and factor by grouping:

x² - 4x - 6x + 24.

From the first two terms, we can factor out x: x(x - 4). From the last two terms, we can factor out -6: -6(x - 4).

Combining these factors, we get the factored expression: (x - 4)(x - 6).

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Answer:

48% of the ppulation would be incorrect

Step-by-step explanation:

goodluck finding  a answer tho

Answer:When planning your writing, it is important to consider the best way to communicate information to your audience, especially if you plan to use data in the form of numbers, words, or images that will help you construct and support your argument.  Generally speaking, data summaries may take the form of text, tables or figures. Most writers are familiar with textual data summaries and this is often the best way to communicate simple results. A good rule of thumb is to see if you can present your results clearly in a sentence or two. If so, a table or figure is probably unnecessary. If your data are too numerous or complicated to be described adequately in this amount of space, figures and tables can be effective ways of conveying lots of information without cluttering up your text. Additionally, they serve as quick references for your reader and can reveal trends, patterns, or relationships that might otherwise be difficult to grasp.

So what’s the difference between a table and a figure anyway?

Tables present lists of numbers or text in columns and can be used to synthesize existing literature, to explain variables, or to present the wording of survey questions. They are also used to make a paper or article more readable by removing numeric or listed data from the text. Tables are typically used to present raw data, not when you want to show a relationship between variables.

Figures are visual presentations of results. They come in the form of graphs, charts, drawings, photos, or maps.  Figures provide visual impact and can effectively communicate your primary finding. Traditionally, they are used to display trends and patterns of relationship, but they can also be used to communicate processes or display complicated data simply.  Figures should not duplicate the same information found in tables and vice versa.

Using tables

Tables are easily constructed using your word processor’s table function or a spread sheet program such as Excel. Elements of a table include the Legend or Title, Column Titles, and the Table Body (quantitative or qualitative data). They may also include subheadings and footnotes. Remember that it is just as important to think about the organization of tables as it is to think about the organization of paragraphs. A well-organized table allows readers to grasp the meaning of the data presented with ease, while a disorganized one will leave the reader confused about the data itself, or the significance of the data.

Title: Tables are headed by a number followed by a clear, descriptive title or caption. Conventions regarding title length and content vary by discipline. In the hard sciences, a lengthy explanation of table contents may be acceptable. In other disciplines, titles should be descriptive but short, and any explanation or interpretation of data should take place in the text. Be sure to look up examples from published papers within your discipline that you can use as a model. It may also help to think of the title as the “topic sentence” of the table—it tells the reader what the table is about and how it’s organized. Tables are read from the top down, so titles go above the body of the table and are left-justified.

Column titles: The goal of column headings is to simplify and clarify the table, allowing the reader to understand the components of the table quickly. Therefore, column titles should be brief and descriptive and should include units of analysis.

Table body: This is where your data are located, whether they are numerical or textual. Again, organize your table in a way that helps the reader understand the significance of the data. Be sure to think about what you want your readers to compare, and put that information in the column (up and down) rather than in the row (across). In other words, construct your table so that like elements read down, not across. When using numerical data with decimals, make sure that the decimal points line up. Whole numbers should line up on the right.

Other table elements

Tables should be labeled with a number preceding the table title; tables and figures are labeled independently of one another. Tables should also have lines demarcating different parts of the table (title, column headers, data, and footnotes if present). Gridlines or boxes should not be included in printed versions. Tables may or may not include other elements, such as subheadings or footnotes.

Quick reference for tables

Tables should be:

Centered on the page.

Numbered in the order they appear in the text.

Referenced in the order they appear in the text.

Labeled with the table number and descriptive title above the table.

Labeled with column a

Step-by-step explanation:

Answer:

Its A k = -18

Step-by-step explanation:

Because since angle 1 and 8 are the same your equation is 3k-7 = 5k+29. and then you solve and get k = -18.

When one randomly samples from a population, the total sample variation in xj decreases without bound as the sample size increases: (A) TRUE

When one randomly samples from a population, the total sample variation in xj decreases without bound as the sample size increases.

This is because as the sample size increases, the likelihood of getting a representative sample of the population also increases.

This reduces the variability in the sample and provides a more accurate estimate of the population parameters.

However, it is important to note that this decrease in sample variation does not necessarily mean an increase in accuracy as other factors such as bias and sampling error can also impact the results.

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Answer:

The answer is B. 283.8 miles.\(\sqrt{b^2\)

Step-by-step explanation:

Using the cosine rule:

b^2 = a^2 + p^2 - 2ap(cosB)

b^2 = 172.20^2 + 111.64^2 - 2 x 172.20 x 111.64(cos177.29)

b^2 = 42,116.33 - 38,448.82(cos177.29)

b^2 = 42,116.33 - (-38,405.82)

b^2 = 42,116.33 +38,405.82

b^2 = 80,522.15

\(\sqrt{b^2\) = \(\sqrt{80,522.15}\)

b = 283.76 miles = 283.8 miles

The spot referred to in the statement is Macau, which became part of mainland China in 1999. Macau is famous for being a former Portuguese colony and a major center for tourism and gambling in Asia.

Macau, known as the "Las Vegas of Asia," has a reputation for its vibrant and bustling casino industry. It attracts millions of tourists from around the world who visit to try their luck at the numerous casinos and experience the lively entertainment and nightlife. The city's skyline is adorned with iconic casino resorts and luxury hotels, contributing to its reputation as a premier destination for entertainment and leisure. Apart from its gambling scene, Macau also holds historical and cultural significance. The city's unique blend of Chinese and Portuguese influences is evident in its architecture, cuisine, and traditions. Macau's historic center, with its well-preserved colonial buildings and landmarks, has been designated as a UNESCO World Heritage site, attracting visitors interested in exploring the city's rich cultural heritage. The Chinese government's reforms since Macau's integration into mainland China have aimed to diversify its economy, enhance its tourism sector, and promote sustainable development. These efforts have included initiatives to strengthen cultural preservation, improve infrastructure, and expand the range of attractions beyond just gambling, making Macau a more well-rounded and appealing destination for visitors.

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Answer:

Step-by-step explanation:

3(x - 2) = -27

3x - 6 = -27

3x = -21

x = -7

Answer:

  circumcenter

Step-by-step explanation:

You want to know the name of the point equidistant from the vertices of a triangle.

The circle that passes through the vertices of a triangle is called a "circumcircle". It circumscribes the triangle. Its center is equidistant from all points on the circle, so is equidistant from the triangle's vertices.

The point equidistant from the vertices of a triangle is the circumcenter.

__

Additional comment

The circumcenter is at the intersection of the perpendicular bisectors of the sides of the triangle.

Answer:

100

Step-by-step explanation:

it is 50 when he sees it in a horizontal line so double it to see how much it is if it where straight

Answer:

(x+3)^2 = 16

Step-by-step explanation:

x^2+6x = 7

We are trying to complete the square

The first step is to 6ake the coefficient of the x term,

6

and then divide by 2

6/2 =3

Square it

3^2

Add this to each side

x^2 + 6x+9 = 7+9

Then, we have ( x+(6/2)) ^2 is on the left

(x+3)^2 = 16

Answer:

last one (4,1)

Step-by-step explanation:

The probability of an event not occurring refers to the probability of all other possible outcomes except for the event in question.

The odds for rolling a 6-sided die and getting a 2 are 1:5 or 1/5. This means that the probability of rolling a 2 is 1/6, and the probability of not rolling a 2 is 5/6. To find the odds against rolling a 6-sided die and getting a 2, we simply invert the odds for rolling a 2, which gives us the odds of rolling any number other than 2. The odds against rolling a 6-sided die and getting a 2 are therefore 5:1 or 5/1. This means that the probability of not rolling a 2 is 5/6, and the probability of rolling a 2 is 1/6. It's important to note that the odds against an event are not the same as the probability of that event not occurring. The odds against an event refer to the ratio of the number of unfavorable outcomes to the number of favorable outcomes, while the probability of an event not occurring refers to the probability of all other possible outcomes except for the event in question.

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Answer:

3 cookies

Step-by-step explanation:

After he gave nine cookies to teachers,he have 39 cookies left.He shared 36 cookies to his 18 classmates at the rate of 2 cookies per person.Then,3 cookies remained.I may be wrong but,it is answer according to me.

hope it helps u and keep smiling :)

Answer:

\(1\frac{3}{5}\) or 1.4 as a decimal

since i don't know which way you need

Step-by-step explanation: