Researchers have noted that children who learn to play a musical instrument through taking lessons have higher average SAT scores, higher average GPAs, and higher average class ranks. This is an example of: the establishing of a causal relationship through correlation. a block design, with music and no-music groups as blocks. an observational study. an experiment.

a) Stel de formule op van de lijn \( p \) die door het punt \( A(-8,8) \) gaat met \( r c_{p}=\frac{1}{4} \). b) Bereken van lijn \( p \) het snijpunt \( R \) met de \( y-a s \). c) De lijn \( q \) gaat door de punten \( B(2,13) \) en \( C(4,23) \). Stel de formule op van lijn \( q \). d) Bereken van lijn \( q \) het snijpunt \( T \) met de \( x-a s \).

Calcular la velocidad con que se propaga una onda longitudinal cu frecuencia es de 140 ciclos/seg. Y su longitud de onda es de 15 m .

Resuclue los siguientes problemas: 1. Determina el volumen del solido que se obtiene al hacer girar la región limitada por la curva \( y=\sqrt{x} \) de 0 a 4 alrededor del cje \( X \).

\( \left. \begin{array} { l } { f ^ { \prime } ( x ) = \frac { 6 ( \ln ( x ) ^ { 5 } ) } { x } - } \\ { f ^ { \prime } ( e ^ { 3 } ) = \square } \end{array} \right. \)

3. It can be found that a candy bar's weight in grams is related to the amount of calories in it. The line of best fit to predict the number of calories \( (y) \) is \( y=2.599 x+107.274 \), where \( x \) is the weight of the candy bar in grams. a. Use the line of best fit to predict the weight of a candy bar if it contains 200 calories.