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Questions in mathematics

[Jawaban] 1) 6 + (9 ÷ 3 × 4) 2) 3 × [(9 + 15) ÷ 8] 3) 4 × [18 ÷ 2 × (10 - 8)] 4) (15 - 6) + (4 - 1) × 8 5) 2 × [3 + 2 × (10 - 9)] A. 9 B. 35 C. 10 D. 18 E. 72 F. 71

[Jawaban] The table shows the numbers of students at a college who study maths or not. | Study Maths | Male | Female | |----------------------|------|--------| | Do Not Study Maths | 110 | 90 | | Study Maths | 130 | 170 | a) A student is selected at random. Find the probability that i) the student is male; ii) the student is a female who studies maths; iii) the student is a male, given that they study maths.

[Jawaban] Manuela solved the equation $3-2|0.5 x+1.5|=2$ for one solution. Her work is shown below. $3-2|0.5 x+1.5|=2$ $-2|0.5 x+1.5|=-1$ $|0.5 x+1.5|=0.5$ $0.5 x+1.5=0.5$ $0.5 x=-1$ $x=-2$ What is the other solution? A. $x=-6$ B. $x=-4$ C. $x=2$ D. $x=4

[Jawaban] Select the correct answer. The difference of a number and 6 is the same as 5 times the sum of the number and 2. What is the number? A. -4 B. -2 C. -1 D. 1

[Jawaban] Work out the answers to: a) $6 \times(-5)$ b) $(-5) \times 8$ c) $(-9) \times(-7)$

[Jawaban] Which inequality graph is the solution to $x / 3<-2$? A) B) $-\sqrt{10 \cdot 9 \cdot 8 \cdot 7 \cdot 6 \cdot 5 \cdot 4 \cdot 3 \cdot 2 \cdot 1012345678910}$ C) $-109 \cdot 8 \cdot 7 \cdot 6 \cdot 5 \cdot 4 \cdot 3 \cdot 2 \cdot 1012345678910$ D)

[Jawaban] Which of the following represents the factorization of the trinomial below? [tex]$x^2+9 x-22$[/tex] A. [tex]$(x+11)(x-2)$[/tex] B. [tex]$(x+20)(x-2)$[/tex] C. [tex]$(x-20)(x-2)$[/tex] D. [tex]$(x-11)(x-2)$[/tex]

[Jawaban] $A$ and $B$ are mutually exclusive events. [tex] \begin{array}{l} P(A)=0.50 \\ P(B)=0.20 \end{array} [/tex] What is $P(A$ and $B)$?

[Jawaban] If the altitude of an isosceles right triangle has a length of x units, what is the length of one leg of the triangle in terms of [tex]$x$[/tex]? A. [tex]$x$[/tex] units B. [tex]$x \sqrt{2}$[/tex] units C. [tex]$x \sqrt{3}$[/tex] units D. [tex]$2x$[/tex] units

[Jawaban] Melissa has a bag that contains 6 red marbles, 8 yellow marbles, and 18 blue marbles. If she chooses one marble from the bag, what is the probability that the marble is not blue? A. $\frac{2}{9}$ B. $\frac{7}{9}$ C. $\frac{7}{16}$ D. $\frac{9}{16}$