Using the probability concept, the correct statement is:
B. P(hibiscus|red) = P(hibiscus).
<h3>What is a probability?</h3>
A probability is given by the <u>number of desired outcomes divided by the number of total outcomes</u>.
For item a, the probabilities are:
- P(yellow|rose) = 45/105 = 0.4286.
- P(yellow) = 135/315 = 0.4286.
Same probabilities, hence the statement that they are different is false.
For item b, the probabilities are:
- P(hibiscus|red) = 80/120 = 2/3.
- P(hibiscus) = 210/315 = 2/3.
Equal, hence this is the correct statement.
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area of a triangle is base times height, then you divide that by 2
so:
6/5 x 4/3
24/15 (simplify this to 8/5)
8/5 x 1/2
8/10 = 4/5 ft
Tax is 1.54
Including tax = 39.99
Excluding tax= 38.5
Hope this helps
Annually The amount after 10 years = $ 7247.295
quarterly compound after 10 years = $7393.5
Continuously interest =$7,419
Given:
P = the principal amount
r = rate of interest
t = time in years
n = number of times the amount is compounding.
Principal = $4500
time= 10 year
Rate = 5%
To find: The amount after 10 years.
The principal amount is, P = $4500
The rate of interest is, r = 5% =5/100 = 0.05.
The time in years is, t = 10.
Using the quarterly compound interest formula:
A = P (1 + r / 4)4 t
A= 4500(1+.05/4)40
A= 4500(4.05/4)40
A= 4500(1.643)
Answer: The amount after 10 years = $7393.5
Using the Annually compound interest formula:
A = P (1 + r / 100) t
A= 4500(1+5/100)10
A= 4500(105/100)10
Answer: The amount after 10 years = $ 7247.295
Using the Continuously compound interest formula:
e stands for Napier’s number, which is approximately 2.7183
A= $2,919
Answer: The amount after 10 years = $4500+$2,919=$7,419
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