Answer:
Step-by-step explanation:
Answer:
x² + 7x + 10 = 0
Subtract 10 from both sides
x² + 7x = -10
Use half the x coefficent (7/2) as the complete the square term
(x + 7/2)² = -10 + (7/2)²
note: the number added to "complete the square" is (7/2)² = 49/4
(x + 7/2)² = -10 + 49/4
(x + 7/2)² = 9/4
Take the square root of both sides
x + 7/2 = ±3/2
Subtract 7/2 from both sides
x = -7/2 ± 3/2
x = {-5, -2}
Answer:
The Sample Size Need To be at least 114
Step-by-step explanation:
According to the Question,
- Given, A university dean of students wishes to estimate the average number of hours students spend doing homework per week. The standard deviation from a previous study is 6.2 hours.
The Maximum Error(E) is given as 1.5 hours and the standard deviation(σ) is 6.2 hours.
- Now, For 99% Confident the level of value α is 0.01.
α/2 = 0.01/2 ⇒ 0.005
- Thus, From The table, We get that the value of
is 2.58.
Hence, the sample size n can be found as
n = {
}²
n = {2.58 × 6.2}² / 1.5²
n = 113.72 .
So, The Sample Size Need To be at least 114.
Answer:
The equation would be x + 2y = -8
Step-by-step explanation:
To find the standard form of this line, start by using point-slope form with the given information. Then solve for the constant.
y - y1 = m(x - x1)
y + 3 = -1/2(x + 2)
y + 3 = -1/2x - 1
1/2x + y + 3 = -1
1/2x + y = -4
x + 2y = -8
Answer:
A significant antiquated Greek idea that impacted the arrangement of the United States government was the composed constitution. The U.S. Constitution goes about as the preeminent law of the country and builds up singular residents' privileges, like the option to free discourse or the privilege to a preliminary by a jury of one's companions. Alongside the Roman model, the majority rule model of old Greece's arrangement of self-government incredibly impacted how the initial architects set off to develop the new United States government. A government that was most directly influenced by Athenian democracy was representative democracy. Representative democracy is a framework where the chosen authorities make up the public authority and they address various types of gatherings. This is comparative however not quite the same as an immediate vote-based system.
One difference is that the U.S. has a delegate popular government and Athens has an immediate majority rules system. In Athens, just men that possess property are allowed to vote. In the U.S. any resident above the age of 18 can vote. Another difference between the Athens and U.S. democracy is that the U.S. has a representative democracy and Athens had a direct democracy. A third difference between the two democracies is that Greek thought of vote based system was not quite the same as the present-day majority rules system in light of the fact that, in Athens, all grown-up residents were needed to take a part in the government.
Step-by-step explanation:
Hope this helps
