Shortly after the introduction of a new currency to a certain country, newspapers around the world published articles claiming the coin was biased. The stories were based on reports that someone had spun the coin 290 times and gotten 165 heads - that's about \( 57 \% \) heads. Do you think this is evidence that spinning the coin is unfair? Explain.

3. En una bolsa se tienen 5 tornillos de acero, 7 de titanio y 10 de silicio. Si se extraen 4 tornillos al arar, calaita probabilidad de que sean de acero a) Si se regresa cada tornillo antes de sacar el otro (5\%) b) Si no se regresa cada tornillo antes de sacar el otro

Use an identity to solve the following equation on the interval \( [0,2 \pi) \). \[ \cos (2 x)=-\cos x \]

(1 point) Find all exact solutions on the interval \( 0 \leq \theta<2 \pi \). If there is more than one answer, enter them as a comma separated list. \( 2 \sin (\theta)=\sqrt{3} \) \( \theta=\square \) help (angles)

\( \operatorname { ta } \alpha = \frac { ( \frac { 3 } { 1 } - \frac { 1 } { 10 } ) } { 1 + i \frac { 1 } { 10 } ) ( \frac { 3 } { 7 } ) } \)

Question Becca is stringing a 28 -foot floral garland along the 2 sides and top of a rectangular pergola to prepare for a wedding. The height of the pergola is 4 feet less than the width. Find the height and width of the pergola.