FREE NBPTS Mathematics Questions and Answers
Depending on the individual's income, a specific community is divided into three classes: lower, middle, and higher. You want to research the community's residents' standard of living. Which sampling strategy should be employed to produce a result representative of the entire population?
Explanation:
Stratified sampling is the best sampling technique to ensure that the study results are representative of the entire population with regards to income classes. In stratified sampling, the population is divided into homogeneous subgroups or strata based on a specific characteristic, in this case, the income classes (lower class, middle class, and upper class).
Calculate the total of 13 + 9 + 5 +... + (-99) +. (-103).
Pigs to goats are a 3:5 ratio, while goats to cows are a 4:9 ratio. Given that there are eight pigs, how many cows are there?
Explanation:
To solve the problem, we need to find the number of cows based on the given ratios.
Given that the ratio of pigs to goats is 3:5, we can set up a proportion:
Pigs/Goats = 3/5
If there are 8 pigs, we can substitute the value:
8/Goats = 3/5
Cross-multiplying, we get:
5 * 8 = 3 * Goats
40 = 3 * Goats
Now, we need to find the number of goats based on the second ratio. The ratio of goats to cows is 4:9, so we set up another proportion:
Goats/Cows = 4/9
Substituting the value of goats from the previous equation (Goats = 40/3):
(40/3)/Cows = 4/9
To solve for the number of cows, we can cross-multiply:
9 * (40/3) = 4 * Cows
120 = 4 * Cows
Cows = 120/4
Cows = 30
Therefore, if there are 8 pigs, the number of cows would be 30.
What practical applications of mathematics did the Babylonians have in antiquity?
Explanation:
While the Babylonians did not have algebra in the modern sense, they did develop mathematical techniques and methods that allowed them to solve day-to-day problems. One way mathematics helped the Babylonians was through the use of numerical calculations and systematic methods for solving practical problems.
A team of five medical personnel from a hospital will travel to a far-off island. There are 12 nurses and eight doctors available at the facility. How many five-person teams are possible if each team must have at least one doctor and two nurses?
Three hundred fifty feet separate you from the cliff's base when you are looking at it. What is the ridge's height if the elevation angle from your location to its peak is 60 degrees?
Which of the following uses of a line's slope is practical?
Explanation:
Interpolating values from data that follows a linear trend is a practical application of the slope of a line.
The slope of a line represents the rate of change between two variables. In the context of data that follows a linear trend, the slope can provide valuable information about how one variable changes with respect to another.