Researchers presented two groups of physicians with information regarding a surgical procedure. Half the plysicians were told that o tesult of the surgery; the remaining physicians were told that on average 85 out of 100 people survive the surgery. Based on the framu Select one: a. the second group of physicians would be more likely to recommend the surgical procedure to their patients b. the first group of physicians would be more likely to recommend the surgical procedure to their patients c. both groups of plysicians would recommend the surgical procedure to their patients. d. neither group of physicians would recommend the surgical procedure to their patients

Solve the following system of equations. \[ \begin{array}{l}4 x-8 z=32 \\ 6 x-y+3 z=-5 \\ 2 x+y=-45\end{array} \] Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. A. There is one solution. The solution is ( (Type integers or simplified fractions.) B. There are infinitely many solutions. The solution set is \( \{(x, y, z) \mid 2 x+y=-45\} \). The solution set is \( \varnothing \).

Si \( |x+1|=2 \), se cumple Marca la respuesta correcta. Ninguna respuesta es correc \( x=-1-2 \) \( x=1-2 \) \( x=-1 \pm 2 \) \( x=1+2 \)

Use the elimination method to find a general solution for the given linear system, where differentiation is with respect to \( t \). \( x^{\prime}=5 x-6 y+\sin t \) \( y^{\prime}=3 x-y-\cos t \) Eliminate \( x \) and solve the remaining differential equation for \( y \). Choose the correct answer below. A. \( y(t)=C_{1} e^{2 t}+C_{2} t e^{2 t}+\frac{19}{40} \cos t+\frac{7}{40} \sin t \) B. \( y(t)=C_{1} e^{-2 t} \cos 3 t+C_{2} e^{-2 t} \sin 3 t+\frac{19}{40} \cos t+\frac{7}{40} \sin t \) C. \( y(t)=C_{1} e^{-2 t}+C_{2} t e^{-2 t}+\frac{19}{40} \cos t+\frac{7}{40} \sin t \) D. \( y(t)=C_{1} e^{2 t} \cos 3 t+C_{2} e^{2 t} \sin 3 t+\frac{19}{40} \cos t+\frac{7}{40} \sin t \) E. The system is degenerate.

Suppose babies born in a large hospital have a mean weight of 3366 grams, and a variance of 244,036 . If 118 bables are sampled at random from the hospital, what is the probability that the mean weight of the sample babies would differ from the population mean by less than 45 grams? Round your answer to four decimal places.

Suppose that the walking step lengths of adult males are normally distributed with a mean of 2.3 feet and a standard deviation of 0.4 feet. A sample of 83 men's step lengths is taken. Step 2 of 2 : Find the probability that the mean of the sample taken is less than 2.1 feet. Round your answer to 4 decimal places, if necessary.