The hospital claims that the average time between births is 40 minutes and plans its resource allocation based on this claim. You want to test their claim. You select LaTeX: H_0H 0 : LaTeX: \mu=40μ = 40, LaTeX: H_aH a : LaTeX: \mu\ne40μ ≠ 40 with a level of significance LaTeX: \alpha=0.01α = 0.01. 59 14 37 62 68 2 15 9 157 27 37 2 55 86 14 4 40 36 47 9 61 What is the P-value?

Browning labs is testing a new growth inhibitor for a certain type of bacteria. the bacteria naturally grows exponentially each hour at a rate of 6.2%. the researchers know that the inhibitor will make the growth rate of the bacteria less than or equal to its natural growth rate. the sample currently contains 100 bacteria. the container holding the sample can hold only 300 bacteria, after which the sample will no longer grow. however, the researchers are increasing the size of the container at a constant rate allowing the container to hold 100 more bacteria each hour. they would like to determine the possible number of bacteria in the container over time. create a system of inequalities to model the situation above, and use it to determine how many of the solutions are viable.

Abarbecue sold 26 hamburgers and hot dogs. hamburgers sell for $3.50 each and hot dogs sell for $2.00 each. if the barbecue made $70 in sales, determine and state the number of hot dogs sold.

He mass of a single atom of carbon can be found by dividing the atomic mass (12.01 g) by 6.022 x 10^23. which is the mass of a single carbon atom, correctly written in scientific notation with the correct number of significant figures?