A genetic experiment with peas resulted in one sample of offspring that consisted of 417 green peas and 155 yellow peas. a. Construct a \( 95 \% \) confidence interval to estimate of the percentage of yellow peas. b. Based on the confidence interval, do the results of the experiment appear to contradict the expectation that \( 25 \% \) of the offspring peas would be yellow? a. Construct a \( 95 \% \) confidence interval. Express the percentages in decimal form. \( <\mathrm{p}<\square \) (Round to three decimal places as needed.)

Determine the inverse function of \( f(x)=6^{x-4} \). Question Help: fread

Simplify the expressions: a. \( \left(4 t^{4}\right)^{7}=\square \) b. \( \left(x^{6} y^{8}\right)^{4}=\square \) c. \( \left(-4 z^{6}\right)^{3}=\square \)

Solve Systems of Linear Equations: Elimination - Quiz - Level H -1) Consider the following system of equations. \( \begin{array}{l}4 x-8 y=20 \\ 3 x+4 y=5\end{array} \) 4) How can you eliminate the \( y \)-terms in this system? \( \begin{array}{l}4 x-8 y=20 \\ 3 x+4 y=5\end{array} \)

Dados los vectores \( \vec{u}=(5,-1,2) \) y \( \vec{v}=(-1,2,-2) \) a) Calcular el ángulo entre ambos vectores. b) ¿Cuánto tiene que valer \( k \) para que el vector \( \vec{w}=(7,2, k) \) sea perpendicular al vector \( \vec{u} \) ?

Solve the polynomial inequality: \( -2(x-2)^{2}(x-1)(x-9)<0 \) Give your answer in interval notation. Enter DNE if there is no solution.