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Dima020 [189]
4 years ago
9

The diagram below represents three groups of students:

Mathematics
1 answer:
Savatey [412]4 years ago
8 0
The data is shown in the Venn diagram below

The probability of students traveling to Spain GIVEN that they took Spanish Class is 8 out of 24

The probability of students traveling to Spain GIVEN they did not take Spanish class is 8 out of 80

Hence the probability that a student travels to Spain given that the student took Spanis class is \frac{1}{3}÷\frac{1}{10}=\frac{10}{3} or 3.33 times likely

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Question 5 Multiple Choice Worth 1 points) (04.05 MC) Determine if the ordered pair (-1 , -5) is a solution to the inequality y≤
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Answer:

(-1, -5) satisfies the inequality and will be the solution to the inequality.

From the attached figure, it is clear that  (-1, -5) is below the line.

Therefore, the correct option is:

''Yes, because 1-1, 5) is on the line​''.

Step-by-step explanation:

Given the inequality

y\le -\frac{3}{4}x-1

substituting (-1, -5)  to check whether it satisfies the inequality or not

-5\le \:-\frac{3}{4}\left(-1\right)-1

-5\:\le \:\frac{3}{4}-1

-5\:\le -\frac{1}{4}

TRUE

Thus, (-1, -5) satisfies the inequality and will be the solution to the inequality.

From the attached figure, it is clear that  (-1, -5) is below the line.

Therefore, the correct option is:

''Yes, because 1-1, 5) is on the line​''.

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Answer:

12x=4y........................................

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Need help finding the domain and range
pogonyaev

Here are a few things you'll need to know for this question:

  • Domain: <u>The list of x-values that are possible on a line.</u>
  • Range: <u>The list of y-values that are possible on a line.</u>
  • Interval Notation: <u>Shows the domain/range using the endpoints</u>. Brackets mean that the endpoint is included, parentheses mean the endpoint is excluded. Ex: (2,10]. 2 is excluded, 10 is included.
  • Closed Circles: <u>The endpoint is included.</u>
  • Open Circles: <u>The endpoint is excluded.</u>

So firstly, let's look at the domain. We see that there is a closed circle at x = -2 and an open circle at x = 5. Using what we know, <u>the interval notation of the domain is [-2,5).</u>

Next, let's look at the range. We see that there is a closed circle at y = -5 and an open circle at y = 2. Using what we know, <u>the interval notation of the range is [-5,2).</u>

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