Answer:
1440
Step-by-step explanation:
We can solve this problem by applying the rule of three.
In fact, we know that:
- Over a package of 210 candies,
- The number of brown candies is 63
- Here we want to find what is the number of brown candies when the total number of candies contained in the package is 4800
So we can set up the following rule of three:
where
x = number of brown candies when the total number of candies contained in the package is 4800
Solving the expression for x, we find:
So, Sarah can expect to find 1440 brown candies in a package of 4800 pieces.
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:
The value after three years is $137,027.97
Step-by-step explanation:
Here, we want to get the value of the home after 3 years
Generally, we have the exponential formula as follows;
y = P(1 + r)^t
where P is the original cost which is $124,400
r is the rate of increase which is 3% = 3/100 = 0.03
t is the time which is 3 years
Substituting these values;
y = 125400(1 + 0.03)^3 = $137,027.97
If m ACD = 30 => m DCB = 60.
In triangle ACD:
AC^{2}+CB^{2}=AB^{2} => AB=
=32.
=> P=16+32+
=48 +
.
