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Write down all elements of the set {XER: X3 -x = 0).

Answers

Answer 1

Answer:

Answer:

The elements of given set are -1, 0 and 1.

Step-by-step explanation:

The given set is

$\{x\in R:x^3-x=0\}$

We need to find all the elements of given set.

The given equation is

$x^3-x=0$ .... (1)

Solve this equation o find the value of x.

Taking out common factors.

$x(x^2-1)=0$

Using zero product property,

$x=0$

$x^2-1=0$

$x^2=1$

$x=\pm 1$

All rational and irrational numbers are real numbers.

On solving equation (1) we get x = -1, 0, 1. All these numbers are real number. So, the elements of given set are -1, 0 and 1. The set is defined as

{ -1, 0, 1}

Therefore, the elements of given set are -1, 0 and 1.

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Ashley has two coupons for a phone.Coupon A:
Coupon B:
65% off of a $65 phone
$45 rebate on a $65 phone
Choose the coupon that gives the lower price.
Then fill in the blank with the correct value.

Answers

I think it’s Coupon A because the price should be 42.25 or about 42 dollars

Which statement is true.?

Answers

Answer:

Step-by-step explanation:

there are 8 tennis balls in a bag.five of the balls are yellow and the other 3 are green, what's the probability of pulling out a green ball without looking? write your answer as a decimal

Answers

The probability of pulling out a green ball without looking is 3/8 or 0.375 as a decimal of the given problem there are 8 tennis balls in a bag.five of the balls are yellow and the other 3 are green

To find the probability of pulling out a green ball without looking, we need to determine the ratio of green balls to the total number of balls in the bag.

Given that there are 8 tennis balls in total, with 3 of them being green, the probability can be calculated as:

Probability = Number of green balls / Total number of balls

Probability = 3 green balls / 8 total balls

Simplifying this fraction, we have:

Probability = 3/8

Therefore, the probability of pulling out a green ball without looking is 3/8 or 0.375 as a decimal.

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I think
3/8 = 0.375
3 divide by 8 = 0.375

Which of the following is an example of inductive reasoning? A. The first eight marbles that Dexter has drawn from a bag containing red and blue marbles have been red. Dexter concludes that the next marble he draws will be red. B. Jacob knows that in order to get a half-hour lunch break, his work shift must be at least six hours. Jacob concludes that since he is scheduled to get a half-hour lunch break, then his work shift must be at least six hours. C. Alicia knows that in order for someone to be in band, they have to know how to play an instrument. Mindy is in band. Alicia concludes that Mindy must know how to play an instrument. D. Stewart uses the basketball rule book to determine that one point is awarded for each free throw that a player makes.

Answers

The answer should be option A "The first eight marbles that Dexter has drawn from a bag containing red and blue marbles have been red. Dexter concludes that the next marble he draws will be red." Inductive reasoning is a conclusion on some data and in this case it would be option A because it's a conclusion that the first eight marbles that Dexter has drawn from a bag containing red and blue marbles have been red. Dexter concludes that the next marble he draws will be red which is a conclusion.

Hope this helps!

1. Dyani says she identified a quantitative variable and conducted a survey when she asked her fellow classmates in her homeroom about their favorite style of sweatshirt from the categories: hoodie, pullover, or zip-up. Explain her error. 2. Suppose Hana wants to find out the most commonly driven type of the vehicle among the students at her high schoo;. Since 1,560 students attend her high school, she asks every tenth student who enters the building one morning what kind of vehicle he or she drives. What is the population in this scenario?

Answers

Problem 1

The variable "favorite style of sweatshirt" is a qualitative variable instead of a quantitative one. This is because the categories "hoodie", "pullover" and "zip-up" are not quantitative in nature. They are simply labels or names. Yes we can assign a frequency tally for each one, which is likely what she's doing, but that's a slightly different story from what your teacher is asking.

An example of a quantitative variable is "height". This variable can take on any positive numeric value, within realistic reason of course. Theoretically there are infinitely many possible height values if we allow as much precision as we want. Even in a more finitely restricted space, we still have a lot of values to work with. We don't consider each number a different label or category or class. It's just a number. So that's what makes "height" a quantitative variable.

Keep in mind that just because you have a number, doesn't mean it's automatically quantitative. A phone number or a basketball player jersey number are two examples of numbers that are labels. We cannot add up a bunch of phone numbers to get something meaningful. Ask yourself "can I do math operations on these numbers?". If the answer is "yes", then you have quantitative data. Be careful to ask this question for any kind of data you have. Going back to Dyani's data, the category names cannot have math operations applied to them, so that's more evidence we're not dealing with quantitative data.

In short, Dyani has qualitative data instead of quantitative data. Specifically, she has nominal data because each label can be thought of as a name. There is no order to each choice, which means the data is not ordinal.

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Problem 2

The answer to this question is found at the top, in the very first sentence. She wants to know what the most common car is. The population is the set of all student drivers at that school. Let's say there are 400 students who drive to school. That would mean the population would be those 400 people.

Because it's likely too time consuming to survey every member of the population, a sample is used instead to make the best estimate of what the population is. So this is what she's doing when she asks every 10th student to take part of the survey. This is known as systematic sampling because there's a pattern or rule to her choices. This form of sampling can be fairly unbiased assuming that she does this on various different days to get a good snapshot. If she only did it on one day, then it could be likely that some students skipped school or some were out sick. The more she samples, the better look she'll have at the population.

Final answer:

Dyani's mistake was identifying a categorical variable as quantitative. The population in Hana's scenario is 1,560 students.

Explanation:

1. Dyani's error: Dyani mistakenly identified the type of variable she collected as quantitative, when it is actually categorical. A quantitative variable represents numerical values that can be measured, while a categorical variable represents non-numerical values or categories. In this case, the variable is the style of sweatshirt, which falls under the categorical variable as it can be classified into distinct categories - hoodie, pullover, or zip-up.

2. Population in Hana's scenario: In Hana's scenario, the population refers to the total number of students at her high school. Since there are 1,560 students in total, that would be considered the population.

Learn more about Categorical and Quantitative Variables here:

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Hey can you please help me posted picture of question

Answers

The correct option is (B) $16x^2 + 8x + 1$

Explanation:
Add all the boxes:
There are 16 (x^2) boxes;
There are 8 (x) boxes;
And the constants = 1

So it becomes:
$16x^2 + 8x + 1$

And the product is (4x+1)(4x+1)
4x(4x+1) + 1(4x+1)
16x^2 + 4x + 4x + 1
$16x^2 + 8x + 1$ (Same)

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