Answer:
a = 1, b = 1
Step-by-step explanation:
Expand the right side and compare the coefficients of like terms on both sides, that is
right side
(x - a)² + b ← expand factor using FOIL
= x² - 2ax + a² + b
Compare to left side x² - 2x + 2
Compare the coefficients of the x- term
- 2a = - 2 ( divide both sides by - 2 )
a = 1
Compare the constant terms
a² + b = 2 ( substitute a = 1 )
1² + b = 2
1 + b = 2 ( subtract 1 from both sides )
b = 1
Thus a = 1, b = 1
This is a good question!!
Answer:
0.1732 = 17.32% probability exactly 24 residents own a home.
Step-by-step explanation:
For each resident, there are only two possible outcomes. Either they own a home, or they do not. The probability of a resident owning a home is independent of any other resident. This means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

In which
is the number of different combinations of x objects from a set of n elements, given by the following formula.

And p is the probability of X happening.
78% of residents in Summerville own a home.
This means that 
30 residents are randomly selected:
This means that 
Find the probability exactly 24 residents own a home.
This is P(X = 24).


0.1732 = 17.32% probability exactly 24 residents own a home.
Answer:
7 girl gifts and 4 boy gifts
Step-by-step explanation:
7 girls gifts = $14
4 boy = $4
total = 18
Answer:
1. 32 inches = 81.28 centimeters
2.402 000 millimeters = 402 meters
3. 2.85 meters = 285 centimeters
4.2 kilometers= 2000000 millimeters
5. 71 meters = 0.071 kilometers
6. 8kg = 8000 g
7. 3000 g = 3 kg
8. 2.5 kg = 2500 g
9 850 mg = 9.85 g
10.75 dg = 1075 m