Answer:
y=20
Step-by-step explanation:
Divide by 5 on both sides
y=20
(-5,2) is located in the II quadrant because the x is negative and the y is positive.
(5,-5) is located in the IV quadrant because the x is positive and the y is negative.
(2,-5) is also located in the IV quadrant because the x is positive and the y is negative.
(-4,-5) is located in the III quadrant because both x and y are negative.
Answer:
The general rule for the nth term of this sequence will be:
Step-by-step explanation:
Given the sequence
12a, 15a, 18a, 21a, 24a,...
An arithmetic sequence has a constant difference 'd' and is defined by
Here,
a₁ = 12a
computing the differences of all the adjacent terms
d = 15a-12a = 3a, d = 18a-15a=3a, d=21a-18a=3a, d=24a-21a=3a
using the nth term formula
substituting a₁ = 12a, d = 3a
Therefore, the general rule for the nth term of this sequence will be:
Answer: The examples that use the stratified method are: (1). A questionnaire is created to gauge student opinion on a new university cafeteria. A sample of 40 eshmen, 50 sophomores, 60 juniors, and 50 seniors is selected to fill out the questionnaire. (2). A potato field is believed to be infected with a plant disease. The field is divided into 10 equal areas, and 25 potatoes are selected from each area to be tested for the disease.
Step-by-step explanation: Stratified sampling technique is a type of sampling where the population under study has a number of distinct categories or sub-groups in which it is divided into. These categories or sub-groups are called strata and are defined by certain characteristics related to the variable or particular finding under interest. The sampling frame can be organized into separate mutually exclusive strata and then each ‘stratum’ is being sampled as an independent sub-population out of which individual elements can be randomly selected. In this case, each unit in a stratum, that is, each element in a group has a chance of being selected. With stratified sampling, the best result occurs when elements within strata are internally homogenous.
