Answer:
no solution
Step-by-step explanation:
For getting the nature of solution of the quadratic equation of the form:
ax² + bx + c = 0
We need to find Discriminant which is:
Discriminant (D) = b² - 4ac
- If D < 0, there is no solution of equation.
- If D = 0, there are two equal and real solution of equation
- If D < 0, there are two real and distinct solution of equation
Here we have equation is:
2x² - 9x + 12 = 0
∴ a=2, b = -9, c = 12
⇒ D = 81 - 4 × 2 × 12 = -16 < 0
Hence, there is no solution of given equation.
Answer:
Step-by-step explanation:
- <u>Solve equation to find answer(s)</u>
<u></u>
Combine: 6z - 3z = 3z
Add: -2 + 3 = 1
Add 7 to both sides:
Simplify:
Divide both sides by 3:
Simplify:
- M -
Answer:
The last one
Step-by-step explanation:
Answer:
d. Cluster
Step-by-step explanation:
Random: Random is asking a group of people from a population. For example, to estimate the proportion of Buffalo residents who are Bills fans, you ask 100 Buffalo residents and estimate to the entire population.
Systematic: Similar to random. For example, you want to estimate something about a population, and your sample is every 5th people you see on the street.
Cluster:Divides the population into groups, with geographic characteristics.. Each element is the groups is used. Suppose you want to study the voting choices of Buffalo Bills players. You can divide into offense, defense and special teams, and ask each player of these 3 groups.
Stratified: Done on a group of clusters, that is, from each cluster(group), a number of people are selected.
In this problem, we have that:
All employees at three stores of a large retail chain were asked to fill out a survey.
Divided by clusters(stores).
So the orrect answer is:
d. Cluster
Mean = (8 + 9 + 10 + 16 + 17) / 5 = 60/5 = 12.
x - mean:
8 - 12 = -4, -4² = 16
<span>9 - 12 = -3, -3² = 9
</span>
<span>10 - 12 = -2, -2² = 4
</span>
<span>16- 12 = 4, 4² = 16</span>
<span>17- 12 = -5, -5² = 25
</span>
Sum of the squares = 16 + 9 + 4 + 16 +25 = 70
Variance = 70/5 = 14
Variance = 14
