Joseph measures the ropes used to tie boats to a dock. He records the lengths of the ropes in feet and then makes a line plot.

A line plot named

Joseph concludes that the difference between the longest and shortest lengths is
2
1
2
feet.
Marta disagrees and says that there is no difference. Who is correct?
Use the drop-down menus to show and explain your answer.


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is correct because you
Choose...
the greatest and least lengths represented by the
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, not the number of
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at the greatest and least lengths.

Answer:

this question a little confusing but i think its b= when u multiply

Answer:

so basically Write a factor

Step-by-step explanation:

1 - write a factor and then multiply then divide that's all hopefully this is helpful:)

.

Answer:

$37.96

Step-by-step explanation:

$9.49 x 4 = $37.96

Answer:

work sh bf nd diu xd vs a wish even den dvs dneirgrvvdndkddvdvndkdosuehebdno he be bes be nah be even be bed buddy be end

Answer:

10t2+ 2

Step-by-step explanation:

9t^{2} x (t^{2} + 2) add 9t2, and t2 to get 10t2 + 2

To determine the critical value(s) and whether to reject or fail to reject the claim, we need more information about the specific hypothesis being tested and the significance level.

The test statistic z is commonly used in hypothesis testing for proportions. It measures how many standard deviations the observed proportion is from the hypothesized proportion.

a. To find the critical value(s), we need to know the significance level (often denoted as α). The critical value(s) can be obtained from the standard normal distribution table or using statistical software. The critical value(s) determine the rejection region(s) for the test. If the test statistic falls within the rejection region, we reject the null hypothesis; otherwise, we fail to reject the null hypothesis.

b. The decision to reject or fail to reject the null hypothesis depends on the calculated test statistic and its comparison to the critical value(s). If the test statistic falls within the rejection region (i.e., it is greater than or less than the critical value(s)), we reject the null hypothesis. If the test statistic does not fall within the rejection region (i.e., it is less than or greater than the critical value(s)), we fail to reject the null hypothesis.

In summary, to determine the critical value(s) and make a decision regarding the null hypothesis, we need to know the significance level and compare the test statistic to the critical value(s) based on the specific hypothesis being tested.

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Answer:

Step-by-step explanation:

im not sure but yea

The slope is the ratio of the vertical change between two points the rise to the horizontal change between the same two points.The slope of a line is respresented with (\(x_{1}\),\(y_{1}\)) represents the first point whereas (\(x_{2}\),\(y_{2}\)) represents the second point.

we find the slope of the graph of the function at the specified point firstly we pick two points on the given line and determine the cordinates.find out the difference in y coordinates of two points and also find out the difference in x coordinates of two points ,than divided the difference in y coordinates by the difference in x coordinates.

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y = 3x + 2

To find the equation of a straight line passing through two given points, we can use the point-slope form of the equation:

y - y₁ = m(x - x₁)

where (x₁, y₁) and (x, y) are the coordinates of the points, and m is the slope of the line.

Given the points (1, 5) and (2, 8), we can substitute these values into the equation:

y - 5 = m(x - 1)

Next, we need to find the value of the slope, m. The slope is given by the formula:

m = (y₂ - y₁) / (x₂ - x₁)

Substituting the values of the points into the formula:

m = (8 - 5) / (2 - 1)

m = 3 / 1

m = 3

Now we can substitute the value of the slope, m = 3, into the equation:

y - 5 = 3(x - 1)

Simplifying the equation:

y - 5 = 3x - 3

Adding 5 to both sides:

y = 3x + 2

So, the equation of the straight line passing through the points (1, 5) and (2, 8) is y = 3x + 2.  

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Performing a Chi-Square test is a statistical tool used to determine if there is a significant difference between observed and expected data. The test helps to analyze categorical data by comparing observed frequencies to the expected frequencies. The p-value in a Chi-Square test refers to the probability of obtaining the observed results by chance alone.

If a p-value lower than 0.01 is obtained in a Chi-Square test, it means that the results are statistically significant. In other words, there is strong evidence to reject the null hypothesis, which states that there is no significant difference between the observed and expected data. This means that the observed data is not due to chance alone, but rather to some other factor or factors.

The mean, or average, is not directly related to the Chi-Square test or the p-value. The Chi-Square test is specifically used to determine the significance of the observed data. However, the mean can be used as a measure of central tendency for continuous data, but it is not applicable to categorical data.

In conclusion, obtaining a p-value lower than 0.01 in a Chi-Square test means that there is strong evidence to reject the null hypothesis, and that the observed data is statistically significant.

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The probability of selecting a human character randomly in the game is \(\frac{1}{3}\)

The probability that a human character will be chosen when the player selects a character randomly can be calculated by dividing the number of human characters by the total number of available characters.

There are 8 animal characters and 4 human characters, making a total of 12 characters to choose from. Therefore, the probability of selecting a human character randomly is:

P(Human) = Number of human characters / Total number of characters

P(Human) = 4 / 12

Simplifying this fraction, we find:

P(Human) = 1 / 3

Therefore, the probability of selecting a human character randomly is 1/3 or approximately 0.333.

In the given scenario, there are a total of 8 animal characters and 4 human characters, making a total of 12 characters to choose from. When a player selects a character randomly, each character has an equal chance of being chosen. Since there are 4 human characters, the probability of selecting one of them is determined by dividing the number of human characters (4) by the total number of characters (12).

When we simplify the fraction 4/12, we find that it is equal to 1/3.

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Answer:

43/90

Step-by-step explanation:

We want to express 0.47777... as a ratio of two integers. To do so, we need to multiply by 10^n, where n is the number of repeating decimals. Only 7 is repeating so we multiply 0.47777... by 10. The trick to do this is to let x=0.47777... In other words, what we are doing is the following:

\(x=0.47777...\\10x=4.7777....\\\text{Subtract x}\\10x-x=4.7777...-x\\9x=4.7777...-0.4777...\\9x=4.3\\x=4.3/9=43/90=0.4\overline{7}\)

Answer:

$15.30

Step-by-step explanation:

8.50+3.75+4.75=$17

100-10=90

17x0.90=

15.3

Answer:

$15.3

Step-by-step explanation:

15.3 because if you add up all the earnings and then calculate 10%of 17 you get 1,7. 17-1.7=15.3

Answer:

2 is the answear

Step-by-step explanation:

The concept of independent assortment is one of the fundamental principles of genetics that was first proposed by Gregor Mendel. According to Mendel's postulate of independent assortment, the alleles of different genes segregate independently of one another during the formation of gametes. This means that the inheritance of one trait does not affect the inheritance of another trait.

To test this postulate, Mendel conducted numerous experiments on pea plants and observed that the inheritance of different traits followed a predictable 1:2:1 ratio. This ratio indicated that the alleles for each trait were segregating independently of each other.

Overall, the content loaded Mendel's postulate of independent assortment is an important concept in genetics that helps explain how genetic variation is generated. The 1:1:1:1 testcross ratio is one of the many ways in which this postulate can be tested and supported.

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Answer:the answer is -1,-2

Step-by-step explanation:you add y to 2x-y and x-1 to 0, getting 2x=x-1. You go on from there, and the answer is x=-1, y=-2. Hope that helped

Answer:

top-left and bottom-right are decreasing

Step-by-step explanation:

Decreasing means as you move to the right, the function gets smaller (as x increases, y decreases).

There are 864 number of ways the Smith family can be seated in a row of 7 chairs such that at least 2 boys are next to each other.

To determine the number of ways the Smith family can be seated in a row of 7 chairs such that at least 2 boys are next to each other, we can consider different cases based on the arrangement of boys and girls.

Case 1: Two boys are seated together:

In this case, we can consider the two boys as a single entity.

Therefore, we have 6 entities: BB (boys together), B (single boy), B (single boy), G (girl), G (girl), G (girl). These entities can be arranged in 6! ways.

Case 2: Three boys are seated together:

In this case, we can consider the three boys as a single entity.

We have 5 entities: BBB (boys together), B (single boy), G (girl), G (girl), G (girl). These entities can be arranged in 5! ways.

Case 3: Four boys are seated together:

In this case, we can consider the four boys as a single entity.

We have 4 entities: BBBB (boys together), G (girl), G (girl), G (girl). These entities can be arranged in 4! ways.

To find the total number of arrangements, we sum up the arrangements from each case:

Total arrangements = 6! + 5! + 4!

Calculating the values:

6! = 720

5! = 120

4! = 24

Total arrangements = 720 + 120 + 24 = 864

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Answer:

3/4 and -4/5.

Step-by-step explanation:

I hope this helped

The rational roots of the polynomial given in the question are -4/5 and 3/4.

Given-

Given polynomial function is,

\(20x^4+x^3+8x^2+x-12\)

The given polynomial function has the four-degree equation in which the greatest power of the variable is four. Suppose one root of x is 1 to solve it further. So one factor is,

\(x-1\)

Rewrite the given equation,

\(20x^4+8x^2-12+x^3+x\)

\((20x^4+8x^2-12)+(x^3+x)\)

\((20x^4+20x^2-12x^2-12)+(x^3+x)\)

\((4x^2+4)(5x^2-3) +(x^3+x)\)

\(4(x^2+1)(5x^2-3) +x(x^2+1)\)

On the factor above equation, we get.

\([4(5x^2-3)+x](x^2+1)\)

\([20x^2-12+x](x^2+1)\)

On the factor, we get,

\((5x+4)(4x-3)(x^2+1)\)

\(x=-\dfrac{4}{5} , \dfrac{3}{4}\)

Hence, the rational roots of the polynomial given in the question are -4/5 and 3/4.

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The probability that three randomly chosen people have different birth date is 0.9918.

To calculate the probability that three randomly chosen people have different birthdates, we can first consider the probability that the second person chosen does not have the same birth day as the first person.

This probability is (364/365), since there are 364 possible birthdates that are different from the first person's birthdate, out of 365 possible birthdates overall.

Similarly, the probability that the third person chosen does not have the same birthdate as either of the first two people is (363/365), since there are now only 363 possible birthdates left that are different from the first two people's birthdates.

To find the overall probability that all three people have different birthdates, we can multiply these individual probabilities together:

(364/365) x (363/365) = 0.9918

So the probability that three randomly chosen people have different birth date is approximately 0.9918, or about 99.2%.

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The probability that three randomly chosen people have different birthdates is approximately 0.9918, or 99.18%.

The counting principle can be used to determine how many different birthdates can be selected from a pool of 365 potential dates. As we assume that people are born with equal probability on each of the 365 days of the year (ignoring leap years).

The first individual can be born on any of the 365 days. The second individual can be born on any of the remaining 364 days. The third individual can be born on any of the remaining 363 days. Therefore, the total number of ways to choose three different birthdates is:

365 x 364 x 363

Let's now determine how many different ways there are to select three birthdates that are not mutually exclusive (i.e., they can be the same). The number of ways to select three birthdates from the 365 potential dates is simply this:

365 x 365 x 365

Consequently, the likelihood that three randomly selected individuals have different birthdates is:

(365 x 364 x 363) / (365 x 365 x 365) ≈ 0.9918

Therefore, the likelihood is roughly 0.9918, or 99.18%.

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-1/7, since parallel lines have equal slopes.

The measure of the arc KL and MJ in the given attached figure is equal to = 20° and 80°.

Measure of angle MEJ = 30 degrees

Measure of angle MFJ = 50 degrees

In the attached figure apply angle intersecting secant theorem we get,

m∠MEJ = 1/2(MJ - KL)

Substitute the value of m∠MEJ = 30 degrees we get,

⇒30° = 1/2(MJ - KL)

Multiply both the side by 2 we get,

⇒60° = MJ - KL

⇒ KL = MJ - 60°

Now , we have from the attached figure,

m∠MFJ = 1/2(MJ + KL)

⇒50° = 1/2(MJ + MJ - 60°)

⇒100° = 2MJ - 60°

⇒2MJ = 100° + 60°

⇒2MJ = 160°

⇒MJ = 160°/2

⇒MJ = 80°

⇒KL = MJ - 60°

       = 80° - 60°

This implies that,

KL = 20°

Therefore, the measures of the arcs are equal to measure of arc KL = 20° and MJ = 80°.

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The above question is incomplete, the complete question is:

Given: m∠MEJ=30, m∠MFJ=50

Find the measure of the arc KL, MJ.

Attached figure.

Answer:

y = 5/4x -7

Step-by-step explanation:

5x - 4y = 28

Move 5x to the other side of the equation.
- 4y = - 5x + 28
Divide both sides by - 4.

y = 5/4x -7

For the markov chain will end up in state 2, the probability that when the process moves into state 2, it does so from state 1 will be calculated as:

Let,

\(\tau = \min\{n: X_{n+1}= 2\}\)

Now,

\(p_{i,j} = P(X_{\tau}=i|X_{0}=j)\)

We can observe that,

\(p_{0,0} = P(X_{\tau}=0|X_{0}=0) = \sum_{k=0}^{2}{P(X_{\tau}=0,X_{1}=k|X_{0}=0)} \)

\(=\sum_{k=0}^{2}{P(X_{1}=k|X_{0}=0)P(X_{\tau}=0|X_{1}=k,X_{0}=0)}\)

A Markov chain or Markov process is a stochastic model that depicts a series of potential events where each event's likelihood is solely determined by the state it reached in the previous event. This can be thought of colloquially as, "What happens next depends only on the situation right now. Discrete-time Markov chains (DTMC) are produced by a countably infinite sequence where the chain changes state at distinct time steps. A continuous-time Markov chain (CTMC) is a continuous-time process. It bears the name Andrey Markov after the Russian mathematician. As statistical representations of processes in the real world, Markov chains have numerous uses.

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Answer:

Step-by-step explanation:

Right is into positive territory.

y = x^2

Going right into positive territory means that the function becomes

y = (x - 12)^2

You need the value that will make x - 12 = 0. That number is 12.

The side measures that could form a right triangle are B (24 in, 34 in, 28 in) and C (55 ft, 45 ft, 35 ft).

What is the right triangle is triangle?

A right triangle is a triangle in which one angle measures 90 degrees. The sides of a right triangle can be used to determine if a triangle is a right triangle using the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

Using this information, we can determine which of the given sets of side measures could form a right triangle:

A. 61 m, 60 m, 11 m: We can use the Pythagorean theorem to see if these sides could form a right triangle. We'll let the hypotenuse be the side with a length of 61 m, and the other two sides are the ones with lengths of 60 m and 11 m. Plugging these values into the Pythagorean theorem, we get:

(61 m)² = (60 m)² + (11 m)²

61² = 60² + 11²

61² ≠ 60² + 11²

Since the left side does not equal the right side, these sides cannot form a right triangle.

B. 24 in, 34 in, 28 in: Using the Pythagorean theorem, we can see that these sides could form a right triangle:

(34 in)² = (24 in)² + (28 in)²

34² = 24² + 28²

34² = 24² + 28²

The left side equals the right side, so these sides could form a right triangle.

C. 55 ft, 45 ft, 35 ft: Using the Pythagorean theorem, we can see that these sides could form a right triangle:

(55 ft)² = (45 ft)² + (35 ft)²

55² = 45² + 35²

55² = 45² + 35²

The left side equals the right side, so these sides could form a right triangle.

D. 48 cm, 46 cm, 15 cm: Using the Pythagorean theorem, we can see that these sides could not form a right triangle:

(48 cm)² ≠ (46 cm)² + (15 cm)²

48² ≠ 46² + 15²

Since the left side does not equal the right side, these sides cannot form a right triangle.

Hence, The side measures that could form a right triangle are B (24 in, 34 in, 28 in) and C (55 ft, 45 ft, 35 ft).

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