Answer:
Step-by-step explanation:
1) Previous concepts
The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".
2) Solution to the problem
The probability in favor of the regulation based on the recent survey is:
Let X the random variable of interest "Number of favor respondents about the regulation", on this case we now that:
The probability mass function for the Binomial distribution is given as:
Where (nCx) means combinatory and it's given by this formula:
And we want to find this probability:
If we use X= "Number of respondednts opposed to the regulation we got the same answer", but on this case p = 1-0.68=0.32, and we want this probability:
Answer:
I think I know the answer but not 100% sure
Step-by-step explanation:
Step 1: Complete the scatter plot
Step 2: After you get done, submit the answer and see what grade you get.
Answer:
The compounded annually account will earn more interest over 10 years
Step-by-step explanation:
The rule of the simple interest is I = Prt, where
The rule of the compounded interest is A = P
, where
- n is the number of periods
The interest I = A - P
∵ Each account start with $200
∴ P = 200
∵ They have an interest rate of 5%
∴ r = 5% = 5 ÷ 100 = 0.05
∵ One account earns simple interest and the other is compounded
annually
∴ n = 1 ⇒ compounded annually
∵ The time is 10 years
∴ t = 10
→ Substitute these values in the two rules above
∵ I = 200(0.05)(10)
∴ I = 100
∴ The simple interest = $100
∵ I = A - P
∵ A = 200
∴ A = 325.7789254
∵ I = 325.7789254 - 200
∴ I = 125.7789254
∴ The compounded interest = $125.7789254
∵ The simple interest is $100
∵ The compounded interest is $125.7789254
∵ $125.7789254 > $100
∴ The compounded annually account will earn more interest
over 10 years
P(B|A) = P(B), based on your description, it does not indicate any relationship between A and B, so P(B) is irrelevant with P(A)
Answer: A. 1 pound of cabbage will cost 40 cents. B. (10,4) means that 10 pounds of cabbage will cost 4 dollars.
Step-by-step explanation:
If it is proportional that means the y value divided by the x value will give you a constant slope.
So using that use the coordinates (5,2) to find the cost of 1 pound of cabbage.
2/5 = 0.4
so you could write the equation y= 0.4x where x is the number of pound.
Part A: y= 0.4(1)
y= $0.40 which means one pound of cabbage will cost 40 cents.
Part B. (10,4) in this case it will means that for 10 pounds of cabbage it will cost $4.
Plot it into the equation and find out
in the coordinates (10,4) 4 is the y and 10 is the x
4= 0.4(10)
4= 4
Which means it true that 10 pounds of cabbage will cost 4 dollars.
