Answer:
n = 4
Step-by-step explanation:
Use the explicit formula of a arthmetic sequence: an = a1 + d(n - 1)
a1 = -70
d = -10
an = -100
Do all of the steps and plug all the numbers with the formula.
So -100 = -70 - 10(n - 1)
-100 = -70 - 10n + 10
-100 = -60 - 10n
-100 + 60 = -40
-40 = -10n
-40/-10n = -10n/10
n = 4
So the final answer is n = 4. Just follow all of the steps and you will understand how I got my answer. Hope it helped!
Answer:
The correct option is (B) 69.7%.
Step-by-step explanation:
The table provided represents the probabilities of a positive response to two government programs from citizens in eight cities.
The probabilities mentioned in the table are conditional probabilities, i.e. the probability of a positive response for program 1, given that the individual is from city <em>x</em>.
The probability a positive response for program 1 from an individual from Houston is 69.7%.
Then the conditional probability of a positive response for program 1, given that the individual is from Houston is 69.7%.
Thus, the correct option is (B).
Answer: It will take 
of an hour to complete the test.
Step-by-step explanation:
We need to convert the mixed number 
to an improper fraction:
Now, we need to make the following add the fractions in order to calculate how many hours will it take to complete the test. Then, we get:
Therefore, it will take of an hour to complete the test.
ANSWER
EXPLANATION
The given function is
We rewrite this function to obtain,
We now compare this function to
We have
This implies that,
The vertex is (2,-11).
The focus is
Answer:
- y = 50·3^x
- (2, 450), (3, 1350), (4, 4050), (5, 12150)
Step-by-step explanation:
The problem statement tells you each observed count is 3 times the last one.
__
Expressed as an exponential function with an initial value of 50 and a growth factor of 3, the formula is ...
y = (initial value)×(growth factor)^x
y = 50·3^x
