Answer:
First is irrational, second is rational, third is rational, fourth is irrational and fifth is irrational
Step-by-step explanation:
Rational Number is defined as the number which can be written in a ratio of two integers. An irrational number is a number which cannot be expressed in a ratio of two integers. In rational numbers, both numerator and denominator are whole numbers, where the denominator is not equal to zero.
btw please correct me if i'm wrong
The Verdicts on each value of u according to the given inequality are as follows; 11, 13 and 8.
<h3>What values ares solutions to the inequality; u ≤ 13?</h3>
It follows from the task content that the values which are solutions to the inequality; u ≤ 13 are to identified.
To determine the solution of an inequality on a number line, the number line representation of such inequality is very pivotal.
Therefore, the inequality given; u ≤ 13 simply implies that; the solution set of u includes 13 and all numbers to the left of 13 on the number line.
Hence, by considering each of the given values of u; we have;
- 11 ≤ 13?; Yes.
- 13 ≤ 13?; Yes.
- 8 ≤ 13?; Yes.
- 18 ≤ 13?; No.
Ultimately, the solutions to the inequality among the answer choices are; 11, 13 and 8 respectively.
Read more inequality solutions;
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<h2>
Ordered triple are (4,-2,1)</h2>
Step-by-step explanation:
We need to find ordered triple of 2x + 5y - 3z = -5 , 3x + 2y + 7z = 15 and 5x - 4y + 6z = 34
2x + 5y - 3z = -5 -------------------------eqn 1
3x + 2y + 7z = 15 -------------------------eqn 2
5x - 4y + 6z = 34 -------------------------eqn 3
eqn 1 + eqn 2
5x + 7y + 4z = 10 -------------------------eqn 4
eqn 4 - eqn 3
11y - 2z = -24 -------------------------eqn 5
eqn 1 x 3
6x + 15y - 9z = -15 -------------------------eqn 6
eqn 2 x 2
6x + 4y + 14z = 30 -------------------------eqn 7
eqn 7 - eqn 6
-11y + 23z = 45 -------------------------eqn 8
eqn 5 + eqn 8
21 z = 21
z = 1
Substituting in eqn 8
-11y + 23 x 1 = 45
-11 y = 22
y = -2
Substituting in eqn 1
2x + 5 x -2 - 3 x 1 = -5
2x = 8
x = 4
Ordered triple are (4,-2,1)
Answer:

Step-by-step explanation:
Given information:
- Total number of pupils = 20
- 3 pupils play the flute
- 6 pupils play the piano only
- 6 play both instruments
We can assume that 3 pupils play the flute <u>only</u> as we have also been told that 6 pupils play both instruments.
To calculate the probability that a randomly chosen pupil plays neither instrument, first determine how many pupils do not play an instrument by subtracting the number of pupils who do play an instrument from the total number of pupils:
⇒ total number of pupils - pupils who play instruments
⇒ 20 - (3 + 6 + 6)
⇒ 20 - 15
⇒ 5
Therefore, 5 pupils do not play the piano and/or flute.
To calculate probability:

Therefore:

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