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Questions in mathematics

[Jawaban] Nov 2010 15. After some rain the depth of moisture, [tex]$X$[/tex] meters, in Arda Gardens can be taken as a continuous random variable with a probability density function [tex]$f(x)=\left\{\begin{array}{ll}\frac{12 x}{5}(b-x), & 0 \leq x \leq 1 \\ 0, & \text { otherwise }\end{array}\right.$[/tex] a) Find the value of [tex]$b$[/tex]. [3] b) Calculate the probability that the depth of moisture exceeds 0,9. [3] Nov 2014

[Jawaban] 1. What number comes next in the pattern? 2, 6, 12, 20, 30, 42 a) 36 b) 40 c) 42 d) 44 2. Which is the odd one out? a) 121 b) 144 c) 169 d) 152 3. Which one is not a shape? a) Circle b) Triangle c) Square d) Spoon 4. Which letter comes next? Z, X, V, T, Y a) Q b) R c) S d) P

[Jawaban] Add. Answer as a mixed number in lowest terms. 8 1/2 + 5 3/8 First, enter the whole number.

[Jawaban] Calculate: (-4 × 10^5)(-2 × 10^-6) Write your answer in scientific notation.

[Jawaban] (x - 8) - 5(y + 6) = 130 (x - 8) + 5(y + 6) = 435 The solution to the given system of equations is (x, y). What is the value of 4(x - 8)?

[Jawaban] An electric device delivers a current of [tex]$15.0 A$[/tex] for 30 seconds. How many electrons flow through it?

[Jawaban] Solve by factoring or finding square roots. [tex]x^2+2 x+1=0[/tex]

[Jawaban] Holly and Tamar completed the work in the table to determine if a triangle with side lengths of 40, 42, and 58 is a right triangle. | | | | :---------- | :---------- | | Holly's Work | Tamar's Work | | [$\begin{array}{l}(40+42)^2=58^2 \\ 82^2=3,364 \\ 6,724 \approx 3,364\end{array}$] | [$\begin{array}{l}42^2+40^2=58^2 \\ 1,764+1,600=3,364 \\ 3,364=3,364\end{array}$] | | The triangle is not a right triangle. | The triangle is a right triangle. |

[Jawaban] $\frac{11-x}{(2 x-1)(x+3)}$

[Jawaban] The product of a binomial and a trinomial is $x^3+3 x^2-x+2 x^2+6 x-2$. Which expression is equivalent to this product after it has been fully simplified? A. $x^3+5 x^2+5 x-2$ B. $x^3+2 x^2+8 x-2$ C. $x^3+11 x^2-2$ D. $x^3+10 x^2-2$