Answer:
A had 22 mangoes, B had 26 mangoes
Step-by-step explanation:
We can write the following system:
A + 10 = 2(B - 10) -- Equation 1
3(A - 10) = B + 10 -- Equation 2
A + 10 = 2B - 20 → A = 2B - 30 -- Equation 3 (Simplify Equation 1)
3(2B - 30 - 10) = B + 10 -- Equation 4 (Substitute 3 into 2)
3(2B - 40) = B + 10
6B - 120 = B + 10
5B = 130
B = 26 -- (Solve for B in Equation 4)
A = 2 * 26 - 30 = 22 -- (Substitute B = 26 into Equation 3)
Hello!
We are asked to find the number of lines the choir has to learn in time for a concert.
We're given that the concert is in 7 weeks, but they learn new lines each day, so we have to convert it to days. We know that there is 7 days in a week, we would multiply 7 weeks by 7 days, which is 49 days.
Now, we would take the total number of lines, which is 3016, and divide that by 49 days.
3016 lines / 49 days ≈ 61.55 lines/day
Since this is a real-world situation, we should round our answer is to nearest whole number, which would be 62 lines/day.
Therefore, Ester's choir needs to learn about 62 lines per day in time for the concert.
Answer:
Methods of obtaining a sample of 600 employees from the 4,700 workforce:
Part A: The type of sampling method proposed by the CEO is Convenience Sampling.
Part B: When there are equal number of participants in both campuses, stratification by campus would give a more precise approximation of the proportion of employees who are satisfied with the cleanliness of the breakrooms than stratification by gender. Another method to ensure that stratification by campus gives a more precise approximation of the proportion of employees who are satisfied with the cleanliness of the breakrooms than stratification by gender is to ensure that the sample is proportional to the proportion of each campus to the whole population or workforce.
Step-by-step explanation:
A Convenience Sampling technique is a non-probability (non-random) sampling method and the participants are selected based on availability (early attendees). The early attendees might be different from the late attendees in characteristics such as age, sex, etc. Therefore, sampling biases are present. All non-probability sampling methods are prone to volunteer bias.
Stratified sampling is more accurate and representative of the population. It reduces sampling bias. The difficulty arises in choosing the characteristic to stratify by.
If M is the midpoint, then LM = MN
3x - 2= 2x +1
x = 3
So LM = 3x - 2 = 9 -2 = 7
LM = 7
Answer:
just copy and paste below
Step-by-step explanation:
Step-by-step explanation:Sample Response: The equation could model a scenario determining the number of players on each team in a league of five teams, if 2 players have to be taken out of the possible players to be referees and to keep score. There will be 11 players on each team.
