Answer:
x = 7.2
Step-by-step explanation:
a² + b² = c²
x² + (19.2/2)² = (24/2)²
x² + 9.6² = 12²
Subtract 9.6² from both sides
x² = 12² - 9.6²
x² = 51.84
x = 7.2
That is the simplest form
Answer:
The area of the rectangular coral = 2,976 ft²
Step-by-step explanation:
Bryce has 220 ft of fencing to fence a rectangular coral.
Let the dimensions of the corral be x ft. × y ft.
One side of the coral is 48 ft. long
A rectangle has 4 sides, with each of the two opposite sides with the same dimension. Hence, the perimeter of the rectangular coral = 2(x + y) = 2x + 2y.
Total length of material for fencing = 220 ft.
Hence the perimeter of the reef = 220 ft.
2x + 2y = 220
And one length of the rectangular coral = x = 48 ft.
We can solve for the remaining dimension of the rectangular coral this way.
2(48) + 2y = 220
2y = 220 - 96 = 124
y = (124/2) = 62 ft.
Hence, the area of the rectangular coral = xy = 48 × 62 = 2,976 ft²
Hope this Helps!!!
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
The answer would be the median because you use the box plot to find the median. its the whole point of a box plot :)
