Assume that the birth weight in grams of a baby born in the united states is $n(3315, 525^2)$ for boys and girls combined. let x equal the weight of a baby girl who is born at home in ottawa county, and assume that the distribution of x is $n(\mu_x, \sigma^2_x)$. using 11 observations of x, test $h_0: \mu_x=3315$ against the alternative hypothesis $h_1: \mu_x > 3315$ (home-born babies are heavier) if $\alpha$= 0.01. (note: keep at least 3 significant digits in your answer.)

You will get 25 points an image of a rectangular prism is shown below: part a: a cross section of the prism is cut with a plane parallel to the base. what is the name of the shape created by the cross section? explain your answer. (5 points) part b: if a cross section of the prism is cut perpendicular to the base, what would be the shape of the resulting cross section? explain your answer. (5 points)

The classrooms are trying to raise $1,200.00 for charity. mrs. leblanc's class has raised 50%. mr. patel's class has raised $235.14 ms. warner's class has raised 1/3 as much as mrs. leblanc's class. how much more money is needed to reach the goal of $1,200.00?

The avenues in a particular city run north to south and are numbered consecutively with 1st avenue at the western border of the city. the streets in the city run east to west and are numbered consecutively with 1st street at the southern border of the city. for a festival, the city is not allowing cars to park in a rectangular region bordered by 5th avenue to the west. 9th avenue to the east, 4th street to the south, and 6th street to the north. if x is the avenue number and yis the street number, which of the following systems describes the region in which cars are not allowed to park? 5th ave 9th ave