Use the Composite Midpoint Method with 2 subintervals to approximate the definite integral of a function: \( f(x)=(1+x) /(2+3 x)^{2} \) from \( a=1 \) to \( b=3 \). Enter your answer with 3 decimal places. Type your numeric answer and submit

4) If \( \left[\Omega, \mathscr{A}=2^{\Omega}, P\right] \) is a probability space of tossing three identical fair coins at the same time. Then: a) Determine \( \Omega \) and \( P \) for this random experiment. b) Calculate the probability of getting one or two heads. c) If we know that we had at least one tail, what is the probability that we have two tails ?

Due to a variety of factors including fuel prices and adverse weather patterns, the cost of many groceries is expected to increase by a Let's illustrate the effects on consumers using the example of a frozen pizza that currently costs \( \$ 5.10 \). Part: \( 0 / 2 \) Part 1 of 2 (a) If the price of the pizza does go up by \( 5 \% \) next year, find the amount of increase.

Which is a true statement about an exterior angle of a triangle? A. It is complementary to one of the interior angles of the triangle. B. It is formed by two segments that are not sides of the triangle. C. It is formed by two segments that are sides of the triangle. D. It forms a linear pair with one of the interior angles of the triangle.

ACTIVIDAD Realice una en la cual analice, según su opinión, la principal causa del conflicto interno que aún se vive Coiombia. ANTECEDENTES

1. Use the Trapezoidal Rule to estimate the value of \( \int_{0}^{2}\left(2 x^{2}+1\right) d x \) using \( n=4 \) steps. 2. A rectangular swimming pool is 20 ft wide by 40 ft