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Q:
List all the prime numbers less than 20.
Q:
\( 0.7 km + 15 m = cm \)
Q:
Ahmad and Benson spent a total of \( \$ 148 \). Which one of the following is not a possible ratio of the amount spent by Ahmad to the amount spent by Benson?
Q:
The average of 4 numbers is 95 . One of the numbers is 68 what is the total of the other 3 numbers?
Q:
Solve the following expres3ion \( \sin 20^{\circ}+\sqrt{3} \sin 70^{\circ}= \) ?
Q:
Calculate the value of \( a^{-2}b^{4} \) when \( a = 2 \) and \( b = 3 \).
Q:
Ecrire sous forme des intervalles les ensembles suivants : \( \left\{x \in \mathbb{R} / \frac{-3}{2} \leq x \leq \frac{-1}{2}\right\} ; J=\left\{x \in \mathbb{R} / x<\frac{-3}{2}\right\} ; M=\left\{x \in \mathbb{R} /-4<x \leq \frac{1}{2}\right\} ; L=\{x \in \mathbb{R} / x \geq-2\} \) Déterminer \( I \cap J \) et \( I \cup J \) dans les cas suivants : \( =] 1 ; 4] ; J=[-1 ; 3[\quad ; \quad \) b) \( I=]-\infty ; 2] ; J=]-2 ;+\infty[ \) \( =]-1 ;+\infty[; J=]-\infty ;-2] \quad \); d) \( I=\mathbb{R} ; \quad J=\mathbb{R}: \)
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4. In triangle \( A B C \), points \( D \) and \( E \) lie on \( A B \) and \( A C \), respectively, such that \( A D=D E=E B=B C \) and \( \angle A B \bar{C}=144^{\circ} \). Determine \( \angle A \). In driehoek \( A B C \) lê punte \( D \) en \( E \) op onderskeidelik \( A B \) en \( A C \), sodat \( A D=D E=E B=B C \) en \( \angle A B C=144^{\circ} \). Bepaal \( \angle A \).
Q:
Comparer \( a \) et \( b \) dans les cas suivants : a) \( a=\frac{2-\sqrt{2}}{\sqrt{2}-1} ; \quad b=\frac{\sqrt{2}-1}{\sqrt{2}+1} \) b) \( a=\sqrt{9 n^{2}+1} ; \quad b=3 n+1 \) avec \( n \in \mathbb{R}^{-} \) c) \( a=x^{2}+4 \quad ; \quad b=4 x \) avec \( x \in \mathbb{R} \) d) \( a=\frac{4 x+2 y}{5 y} \quad ; \quad b=\frac{8 x}{5 x+2 y} \) avec \( (x \in \mathbb{R}: \) et \( y \in \mathbb{R}:) \) Soient \( x \) et \( y \) deux nombres réels tels que \( x \leq y \leq 2 \) a) Montrer que \( x+y-4 \leq 0 \) b) Comparer \( x^{2}-4 x+3 \) et \( y^{2}-4 y+3 \) Soient \( x \) et \( y \) deux nombres réels tels que \( \frac{5}{2} \leq x \leq \frac{7}{2} \) et \( \frac{4}{3} \leq y \leq \frac{8}{3} \) incadrer \( x+y ; x-y ; x \times y ; \frac{x}{y} \) et \( \frac{y-2 x}{x} \)
Q:
Explain how the probability of two independent events occurring together is calculated.
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