Answer:
<u>aₙ = aₙ₋₁ + 4</u>
Step-by-step explanation:
Finding the common difference (d) :
- d = f(2) - f(1)
- d = 7 - 3
- d = 4
Hence, the recursive formula :
Answer:
a) P=0.8
b) P=0.67
c) P=0.05
d) P=0.33
e) P=0.45
Step-by-step explanation:
a. What is the probability that the household has only a cell phone and has high-speed Internet?
This probability is stated in the question: "Suppose of U.S. households having only a cell phone, 80% have high-speed Internet", so the probability is P=0.8.

b. What is the probability that the household has only a cell phone or has high-speed Internet?
This probability is equal to the sum of the probability of having only a cell phone and the probability of having high-speed internet, less the probability of having both (to avoid counting this household twice).

c. What is the probability that the household has only a cell phone and does not have high-speed Internet?
This is equal to the probability of not having high-speed internet given that it has a cell phone (complementaty of the proability of Point (a)) multiplied by the probability of having a cell phone.

d. What is the probability that the household does not have just a cell phone and does not have high-speed Internet?
This probability is complementary of the one calculated in Point (c).

e. What is the probability that the household does not have just a cell phone and does have high-speed Internet?
This is equal to the probability of having high-speed internet less the probability it has both (cell phone and internet).

Answer:
The answer would be 50
Step-by-step explanation:
.20 x 250 = 50
Answer:
1/3n-3<6
Step-by-step explanation:
One third of a number: 1/3
3 is subtracted from 1/3 of a number n: 1/3n -3
Result is less than 6: less is represented with the symbol <. So, the result of the expression 1/3n-3 is less (<) than 6.
The final expression:
1/3n-3<6
Feel free to ask for more if needed or if you did not understand something.
Answer:

Step-by-step explanation:
Let the points be A and B
A ( -13 , 15 ) ⇒( x₁ , y₁ )
B ( 20 , -7 )⇒( x₂ , y₂ )
<u>Finding</u><u> </u><u>the</u><u> </u><u>slope</u><u> </u> :

plug the values
⇒
We know that, 
⇒
Calculate the sum
⇒
Reduce the numbers with G.C.F 11
⇒
Hope I helped !
Best regards!!