Answer:
x = 5
Step-by-step explanation:
The difference between consecutive terms will be equal , then
a₂ - a₁ = a₃ - a₂ , that is
x + 9 - (3x - 2) = 2x + 5 - (x + 9) ← distribute parenthesis on both sides
x + 9 - 3x + 2 = 2x + 5 - x - 9 , simplify both sides
- 2x + 11 = x - 4 ( subtract x from both sides )
- 3x + 11 = - 4 ( subtract 11 from both sides )
- 3x = - 15 ( divide both sides by - 3 )
x = 5
Answer:
The Susana swam the fastest.
Step-by-step explanation:
<u>Speed</u> : It is defined as the distance traveled per unit time.
<u>Formula used</u> : 
First we have to determine speed of the following persons.
<u>For Tawni :</u>
Distance = 50 m
Time = 40.8 s
1.225 m/s which is the speed of Tawni.
--
<u>For Pepita :</u>
Distance = 100 m
Time = 60.2 s
1.661 m/s which is the speed of Pepita
--
<u>For Susana :</u>
Distance = 200 m
Time = 112.4 s
1.779 m/s which is the speed of Susana
From this we conclude that, in this problem meter affects the response and the speed of Susana is more than the Pepita and Tawani.
Thus, Susana swam the fastest.
- 4 w - 4 = - 24
- 4w = - 20
w = 5
Answer: 0.1840
Step-by-step explanation:
The binomial probability formula :-
, here n is the number total of trials , p is the probability of getting success in each trial and P(x) is the probability of getting success in x trial.
Given : The probability of the community favored building a police substation in their neighborhood = 0.64
If 14 citizens are chosen, then the probability that exactly 8 of them favor the building of the police substation will be :-

Hence, the probability that exactly 8 of them favor the building of the police substation = 0.1840
The answer is (0,-4),(1,0)