Using synthetic division, finc' we quotient (the remainder will be 0) for x−53x4−21,+37x2−39x+20​

0.688 will be the probability of getting a nickel from the jar.

Given,

Probability;-

Simply put, probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes. Statistics is the study of events that follow a probability distribution.

Here,

The number of fortunate situations divided by the total number of coins would be the product between the probability of each occurrence and the likelihood of each event.

Therefore,

P(nickel) = 19/69

P(penny) = 17/68

That is,

P = 19/69 × 17/68

P = 323/4692

P = 0.0688

That is,

The probability of getting nickel from the jar is 0.06888

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H0:μ1≥μ2; Ha:μ1<μ2 are the null and alternative hypotheses for the scenario in question.

The alternative hypothesis is one of the offered propositions in statistical hypothesis testing.

An assertion used in statistical inference experiments is known as the alternative hypothesis.

It is indicated by Hₐ or H₁ and runs counter to the null hypothesis.

Another way to put it is that it is only a different option from the null.

An alternative theory in hypothesis testing is a claim that the researcher is testing.

So, the null and alternative hypotheses in the given situation:

The mean durability of running shoes 1 must be comparable to the mean durability of running shoes in order for them to be as durable as running shoes 2.

Since the null hypothesis must be equal in some way, Ha is equal to μ1≠μ2, and H0 is equal to μ1=μ2.

Therefore, H0:μ1≥μ2; Ha:μ1<μ2 are the null and alternative hypotheses for the scenario in question.

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Complete question:

Identify the null and alternative hypotheses in the following scenario:

To determine if running shoes 1 have the same durability as running shoes 2, the mean durability, in miles, of the two competing running shoes is compared. Fourteen runners are randomly assigned to test each type of shoe. Both populations have normal distributions with known standard deviations.

Step-by-step explanation:

Perfect squares = 1, 4,9

Probability = 3/ 10

Answer:

D. The money that Kai started with before he mowed any lawns.

Step-by-step explanation:

We Know

The equation is y = mx + b

The x represents the number of lawns that Kai mows.

What does the y-intercept represent in this equation?

The y-intercept is when the x = 0, meaning the y-intercept is the amount of money he has when mowing 0 lawn. So, the answer is D.

Answer:

The Answer is D

Step-by-step explanation:

Using off-colored language in speech is almost always a bad choice for the following reasons: it models inappropriate language in public, sets the speaker apart from other public speakers, and can be seen as disrespectful towards the audience.

However, one exception to this is that it cannot be known in advance to what extent the use of rude epithets might undermine the speaker's credibility with audience members. Using off-colored language in public speech is generally discouraged because it models inappropriate language and behavior. When we speak in public, we serve as models for how people ought to speak in public settings. By using foul language, we contribute to a culture of disrespectful and offensive communication, which is not conducive to maintaining a professional or respectful environment. Furthermore, the use of off-colored language can make a speaker stand out in a negative way. Public speakers often aim to be memorable for their ideas, expertise, and ability to engage the audience, rather than for their use of inappropriate language. By resorting to offensive language, a speaker risks being remembered primarily for their choice of words rather than the substance of their message. In addition, many people view the use of foul language as a sign of disrespect towards the audience. Such language can alienate listeners and create a sense of discomfort or offense. Public speaking is about establishing a connection with the audience, and using offensive language undermines this connection by conveying a lack of respect for the audience's sensibilities. However, there is one exception to the negative consequences of off-colored language in speech. It is difficult to predict in advance the extent to which the use of rude epithets might undermine a speaker's credibility with audience members. While it is generally advisable to avoid offensive language, there may be situations or specific audiences where the use of certain language is deemed acceptable or even expected. Nonetheless, it is crucial to exercise caution and consider the potential risks before deviating from appropriate and respectful speech.

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Answer:

c. $5 off

Step-by-step explanation:

If jasper buys 10 bagels $2 each then it'll cost $20. With a free bagel it'll deduct $2. With 10% off it'll deduct $2. Buy 8, get 2 free deducts $4. Therefore $5 off is the most

We have that, when testing a certain type of truck tire on rough terrain, it is observed that 25% of the trucks fail to complete the test without blowout, the probability that of the next 15 trucks tested, at least one will not able to complete the test run without an explosion is 0.987

Given that when testing a certain type of truck tire on rough terrain, it is found that 25% of the trucks do not complete the test without blowout.So, the probability that a truck completes the test without a blowout is:

P (A complete truck test without blowout) = 1 - P (A complete truck test without an explosion) = 1 - 0.25 = 0.75

Now, we need to find the probability that of the next 15 trucks tested, at least one will not complete the test without an explosion. This can be found using the complement rule. The complement of the probability that at least one truck does not complete the test without a blowout is the probability that all 15 trucks complete the test without a blowout.

P(All 15 trucks complete the test without a blowout) = P(One truck completes the test without a blowout) x P(A second truck completes the test without a blowout) x ... x P(The fifteenth truck completes the test without a blowout) = 0.75 x 0.75 x ... x 0.75 (15 times)= 0.75^15= 0.013

But we need the probability that at least one truck fails to complete the test without a blowout, which is the complement of the above probability.

P(At least one truck does not complete the test without blowout) = 1 - P(All 15 trucks complete the test without blowout)= 1 - 0.013= 0.987

Therefore, the probability that of the next 15 trucks tested, at least one will not be able to complete the test run without an explosion is 0.987.

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81 = x²

√81 = x

√9 × 9 = x

9 = x

Verification :-

9 × 9 = 81

9² = 81.

So, the value of x is 9.

______

Comment if you've any doubts!

RainbowSalt2222 ☔

Answer:

X = ± 9

Step-by-step explanation:

81 = x² , that is

x² = 81 ( take the square root of both sides )

x = ± \(\sqrt{81}\) = ± 9

As a check

9² = 9 × 9 = 81 and (- 9) × (- 9) = 81

Answer:

90

Step-by-step explanation:

180 divided by 2 is 90

Answer:

(0, 5)

Step-by-step explanation:

x = 0

y = 5

The given statement: The standard deviation is a resistant measure of spread is true.

Standard deviation is the measure of how spread out numbers are. It is a measure that is used to quantify the amount of variation or dispersion of a set of data values.

The standard deviation is a metric that reveals how much variance from the mean there is, including spread, dispersion, and spread. A "typical" variation from the mean is shown by the standard deviation. Because it uses the data set's original units of measurement, it is a well-liked measure of variability. When data points are closely spaced from the mean, there is a little variation, and when they are far spaced from the mean, there is a large variation. The standard deviation determines how much the data deviate from the mean.

When outliers are included, resistant statistics don't change (or vary very little). Resistance does not imply that anything is immobile; that would be "immovable." It implies that your results could fluctuate a bit, but not much.

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Answer: For the first part, her total savings would be $88, and for the second part, (let's pretend s = the total savings) the equation would be s = 40 + w x 6.

Step-by-step explanation: As for the first part, we would need to multiply her money per week times the amount of weeks she works. We can do this by simply multiplying the amount she makes (6) by the amount of weeks she works (8), resulting in 48, but we still have to add that number to the amount she already has, or 40, making $88 in total, as for the second part, this does a great job of explaining the reasoning behind that as well. Hope this answered your question!

The maximum height of the egg with an equation of h(t) = -16t² + 96t - 120.35 is 23.65 feet at 3 seconds

An equation is an expression used to show the relationship between two or more numbers and variables.

Let us assume the height of the egg (h) at time t is given by:

h(t) = -16t² + 96t - 120.35

The maximum height is at h' = 0, hence:

h' = -32t + 96 = 0

-32t + 96 = 0

t = 3 sec

h(3) = -16(3)² + 96(3) - 120.35 = 23.65

The maximum height of the egg with an equation of h(t) = -16t² + 96t - 120.35 is 23.65 feet at 3 seconds

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Answer:

Step-by-step explanation:

y = -⅗x + 17

-⅗·10 + 17 = 11 miles

Answer:

4

Step-by-step explanation:

1 pi is not rationa;

2. sqrt20 is not rationa;

3.sqrt7 is not rational

4 is the answer

Number four is rational

The Binary Search Tree is as follows:

                                                   E

                                            /            \

                                         S                T

                                        /                    \

                                      I                       W

                                   /                            \

                                A                               M

                              /                                    \

                             C                                     G

                              \

                                D

The set of letters is {I, D, S, A, E, T, C, G, M, W} and len (I, D, S, A, a) = 5

Binary Search Tree:The binary search tree based on the alphabetical ordering of the letters is:

post-order sequence is: C, D, A, G, M, I, W, T, S, E.

To draw the binary search tree for the given post-order sequence, follow the steps below:

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Answer:

e is the answer i think.

Step-by-step explanation:

Answer:

E. 200 boys

Step-by-step explanation:

there are 2 boys for every 3 girls

so if we multiply the amount of girls by 100 to get 300 girls

then we need to multiply the amount of boys by 100 too because what you do to one side you have to do to the other

2*100= 200

200 boys for 300 girls can be simplified to the ratio 2:3 by dividing by 100 so we know our answer is correct

hope this helps babe <3

Answer:

A function corresponds to one unique value of x and y hence A

Answer:

-1

Step-by-step explanation:

-1 x (-0.1 x -5 + 0.5)

= -1 x 1

= -1

a. The decimal is terminating and the rational number is 0.

b. The decimal is terminating and the rational number is 0.

c. The decimal is repeating and the rational number is 0.161616...

d. The decimal is terminating and the rational number is 0.

To write a rational number as a decimal, you need to divide the numerator by the denominator. Let's go through each option to determine which decimal is repeating or terminating.

a. 0: This decimal is terminating because there are no numbers after the decimal point. The rational number is 0.

b. 0: This decimal is also terminating because there are no numbers after the decimal point. The rational number is 0.

c. 0.16 overbar: This decimal has a line over the 16, indicating that it is repeating. The rational number is 0.161616...

d. 0: This decimal is terminating because there are no numbers after the decimal point. The rational number is 0.

So, to summarize:

a. The decimal is terminating and the rational number is 0.

b. The decimal is terminating and the rational number is 0.

c. The decimal is repeating and the rational number is 0.161616...

d. The decimal is terminating and the rational number is 0.

.

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1) There exists a 3.82% probability that at least one right-handed student in this class is forced to utilize a seat designed for a left-hander.

2) There exists a 68.35% probability that at least one left-handed student in this class is forced to use a seat designed for a right-hander.

The binomial probability exists the probability of exactly x successes on n repeated trials, and X can only contain two outcomes.

\($P(X=x)=C_{n, x} \cdot \pi^x .(1-\pi)^{n-x}$$\)

In which \($C_{n, x}$\) exists the number of different combinations of x objects from a set of n elements, given by the following formula.

\($C_{n, x}=\frac{n !}{x !(n-x) !}\)

And π exists the probability of X happening.

Given: 13 % of the students are left-handed and 100 - 13 = 87 % are right handed.

There are 220 sets. Of them, 25 exists designed for left handers and 220-25 = 195 for right handers.

There are 215 students, so n = 215.

In this case, a success is a student being right-handed. So \($\pi=0.87$\).

There are 195 seats for right handed students. If there are 196 or more right handed students, they will have to use a seat designed for a left hander. We have to find \($P(X \geq 196)$\). Utilizing a binomial probability calculator, we find that \($P(X \geq 196)=0.0382$\)

So, there is a 3.82 % probability that at least one right-handed student in this class exists forced to utilize a seat designed for a left-hander.

There are 25 seats for left-handed students. If there exists 26 , or more, at least one exists going to be forced to utilize a seat designed for a right-hander.

In this case, a success is a student being left-handed. So \($\pi=0.13$\).

We have to find \($P(X \geq 26)$\).

Using a binomial probability calculator, we have that \($P(X \geq 26)=0.6835$\)

There exists a 68.35 % probability that at least one left-handed student in this class is forced to utilize a seat designed for a right-hander.

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Answer: 42 minutes

Step-by-step explanation:

To find 7/10 of an hour, you can multiply 7/10 by 60 (the number of minutes in an hour) to get 420/10 minutes which simplifies to 42.

Women make up 64% of the sample and are typically the household's main investment.

There is a correlation between American women and being the main provider in their home.

Descriptive statistics, also known as brief informative coefficients, are used to summarize a specific data collection, which may be a sample of a population or a representation of the entire population. Descriptive statistics include measures of variability and central tendency (spread). Measures of central tendency include the mean, median, and mode, whereas measures of variability include the standard deviation, variance, minimum and maximum variables, kurtosis, and skewness.

For instance, the sum of the following data set is 20: (2, 3, 4, 5, 6). A 4 (20/5) is the mean. A data set's mode is the number that appears most frequently, while its median is the value that is in the middle of the range of values. It is the value that separates a data set's higher values from lower values. There are many less common ways to use descriptive statistics, but they are nevertheless essential.

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The correct question is - Suppose a survey of 580 women in the United States found that more than 64​% are the primary investor in their household. Which part of the survey represents the descriptive branch of​ statistics? Make an inference based on the results of the survey.

The cost of the pass was $21, the cost of the souvenir was $14, and the cost of the burger was $3.50.

Let's first assign variables to represent the cost of each item. Let x be the cost of the pass.

Then, the cost of the souvenir would be 2/3 of x, which can be written as (2/3)x.

And the cost of the burger would be 1/4 of the souvenir, which can be written as (1/4)(2/3)x or (1/6)x.

We also know that $2.00 were left over from the total cost.

We can now create an equation to represent the total cost:

x + (2/3)x + (1/6)x + 2.00 = 40.50

To solve for x, we need to simplify the equation:

(11/6)x = 38.50

x = 21

So, the pass cost $21.

Using this information, we can find the cost of the souvenir and the burger:

The souvenir cost (2/3)x = (2/3)(21) = $14.

And the burger cost (1/6)x = (1/6)(21) = $3.50.

Check by adding up the costs:

21 + 14 + 3.50 + 2 = $49.50

Note: The question is incomplete. The complete question probably is: Hannah brought $40.50 to the state fair. She bought a burger, a souvenir, and a pass. The burger was 1/4 as much as the souvenir, and the souvenir cost 2/3 the cost of the pass. Hannah had $2.00 left over after buying these items. What was the cost of each item?

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The instantaneous rate of change at\(`h = 9 cm` is `f'(9) = 1`.\)

A simpler algebraic form for this function is given by `f(h) = 2/r + h`, where `r = 7 cm` is the radius of the cylinder. This is obtained by substituting the given value of the volume `V = πr²h` and surface area `S = 2πrh + 2πr²` of a cylinder in terms of `r` and `h`, and solving for `h/V`. The ratio of surface area to volume at a height of 4 cm is given by `f(4) = 2/7 + 4/49π = (2π + 28)/49π`. The average rate of change as height changes from 4 cm to 9 cm is \(`(f(9) - f(4))/(9 - 4) = [2/7 + 9/49π - (2/7 + 4/49π)]/5 = 1/49π`.\)

The instantaneous rate of change at 9 cm is given by the derivative of `f(h)`, which is `f'(h) = 1/49π`. Therefore, the instantaneous rate of change at `h = 9 cm` is `f'(9) = 1/49π`. the ratio of surface area to volume of a cylinder of radius `r = 7 cm` is given by the function` f(h) = (2πrh + 2πr²)/(πr²h) = 2/r + h`. To find a simpler algebraic form for this function, we substitute the value of the volume of a cylinder `V = πr²h` and the surface area `S = 2πrh + 2πr²` in terms of `r` and `h`, and simplify.

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If the resulting F-statistic is less than the critical value, we fail to reject the null hypothesis and conclude that there is not enough evidence to suggest that the variances are significantly different.

The F-test is a statistical test used to compare the variances of two groups.

In this problem, we will use it to compare the variance of the value added by the manufacturer and the variance of the cost of materials in manufacturing. The F-test is performed by dividing the larger variance by the smaller variance. The resulting F-statistic is then compared to the critical value of an F-distribution with degrees of freedom equal to the sample size minus one for each group.

Before we can perform the F-test, we need to determine which variable will be group 1. Typically, the variable with the smaller mean is designated as group 1. This is because we want to minimize the chance of making a type II error, which is failing to reject the null hypothesis when it is false. If we designated the variable with the larger mean as group 1, we might not detect a significant difference between the groups, even if one exists.

Once we have designated which variable will be group 1, we can perform the F-test. If the resulting F-statistic is greater than the critical value of the F-distribution, we reject the null hypothesis and conclude that the variances are significantly different.

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Answer:

About $9360

Step-by-step explanation:

There's about 52 weeks in one year, so if you multiply 52 by your weekly gain, your annual income will be approximately $9360.

I hope this is helpful ^^

SOLUTIONS

Solve a given equations or algebraic symbols?

(A)

(B)

(C)

(D)