What you can use for this case is a function of the potential type.
We have then
y = a (b) ^ x
Where we have:
Walker starts the fund by depositing $ 5
a = 5
Each week the balance of the fund is twice the balance of the previous week:
b = 2
The function is:
y = 5 (2) ^ x
The number of weeks to reach $ 1280 is 8 weeks.
Check:
y = 5 (2) ^ 8
y = 1280
Answer:
An equation can be used to find the number of weeks, x, after which the balance of the fund will reach $ 1,280 is:
y = 5 (2) ^ x
The number of weeks that it takes to reach the class goal is
8 weeks
Answer:
The probability that all three have type B+ blood is 0.001728
Step-by-step explanation:
For each person, there are only two possible outcomes. Either they have type B+ blood, or they do not. The probability of a person having type B+ blood is independent of any other person. So we use the binomial probability distribution 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.
The probability that a person in the United States has type B+ blood is 12%.
This means that 
Three unrelated people in the United States are selected at random.
This means that 
Find the probability that all three have type B+ blood.
This is P(X = 3).
The probability that all three have type B+ blood is 0.001728
Answer:
The probability of not rain during the entire festival is 0.19
Step-by-step explanation:
The Complement Rule states that the sum of the probabilities of an event and its complement must equal 1.
In this case we have the probability of raining of each day, we need the probability of NOT raining.
First day= 45% chance of rain, the complement is 55%
Second day 55% chance of rain, the complement is 45%
Third day a 10% chance of rain, the complement is 90%
Fourth day a 10% chance of rain, the complement is 90%
Fifth day 5% chance of rain, the complement is 95%
To get the probability of NOT raining in the entire festival is the multiplication of all the complements.
P(not raining) = 0.55 x 0.45 x 0.90 x 0.90 x 0.95= 0.19
Answer:
Range = [- 2.5, 0.5] = [ - 5/2, 1/2]
Step-by-step explanation:
Smallest value of cos α = - 1,
largest value of cos α = 1.
When cos 4x = - 1, y=3/2cos4x-1 = 3/2*(-1) - 1 = - 5/2 = - 2 1/2 = - 2.5
When cos 4x = 1, y=3/2cos4x-1 = 3/2*1 - 1 = 1/2 = 0.5
Range = [- 2.5, 0.5] = [ - 5/2, 1/2]
Answer:
Step-by-step explanation:
4x² - 9
(2x)² - 3²
(2x + 3)(2x - 3)
Factor 1 spot:
2 tiles of x
3 tiles of positive 1
Factor 2 spot:
2 tiles of x
3 tiles of negative 1
