Answer:
The probability of the number of starfish dropping below 3 is 0.0463.
Step-by-step explanation:
Let X represent the number of starfish in the tide pool.
X follows a Poisson distribution with mean 6.4.
The formula for Poisson distribution is as follows.
![P(X=x) = e^{-6.4} * [6.4^{x} / x!] when x = 0, 1, ...](https://tex.z-dn.net/?f=P%28X%3Dx%29%20%3D%20e%5E%7B-6.4%7D%20%2A%20%5B6.4%5E%7Bx%7D%20%2F%20x%21%5D%20when%20x%20%3D%200%2C%201%2C%20...)
otherwise
We need to find the probability that the number of starfish in the tide pool drops below 3.
Therefore, the required probability is:
P(X < 3) = P(X = 0) + P(X = 1) + P(X=2)
P(X < 3) = 0.00166 + 0.01063 + 0.03403
P (X < 3) = 0.0463
Answer:
f(1) = 8
Common ratio: 0.5
Step-by-step explanation:
f(1) means the firs term in a sequence.
In the function f(n), represented by 8, 4, 2, 1, .., the first term is 8.
f(1) = 8
To find the common ratio, divide any term by the term before it.
We can use any two of the given terms in the sequence EXCEPT for 8 because it is the first term and does not have a term before it.
I choose to divide the second term by the first term:
4/8 = 1/2 = 0.5
To find the height of the cactus, make a ratio.
58 inches divided by 4 feet equals x inches divided by 8 feet.
58/4 = x/8
14.5 = x/8
116 = x
The height of the cactus is 116 inches.
To find the total cost of Roland's purchases, you will add $382 plus $12 plus $16.14 together to find the total spent.
$410.14.
Next will be to calculate the new price based on the sales tax rate. To do this you will multiply the cost by 1.0825. This includes everything you paid and the sales tax
410.14 x 1.0825 = $443.98
Roland's total price was $443.98.
