Linear equation of plant height is h = (1/2)w + 3
Given:
Height of experimental plant = 3cm
Average growth = 0.5 cm per week
Find:
Linear equation of plant height
Computation:
Given;
h = Plant height
w = number of weeks
So,
Plant height = Height of experimental plant + (Average growth)(number of weeks)
h = 3 + (0.5)(w)
h = (1/2)w + 3
Option "J" is the correct answer to the following question.
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Answer:
a) P ( 3 ≤X≤ 5 ) = 0.02619
b) E(X) = 1
Step-by-step explanation:
Given:
- The CDF of a random variable X = { 0 , 1 , 2 , 3 , .... } is given as:
Find:
a.Calculate the probability that 3 ≤X≤ 5
b) Find the expected value of X, E(X), using the fact that. (Hint: You will have to evaluate an infinite sum, but that will be easy to do if you notice that
Solution:
- The CDF gives the probability of (X < x) for any value of x. So to compute the P ( 3 ≤X≤ 5 ) we will set the limits.
- The Expected Value can be determined by sum to infinity of CDF:
E(X) = Σ ( 1 - F(X) )
E(X) = Limit n->∞ [1 - 1 / ( n + 2 ) ]
E(X) = 1
Answer:
a) The formula for the area of a circle
Step-by-step explanation:
The formula for the area of a circle is
A = πr²
π is an irrational number and, no matter what value you use for r, the area will be an irrational number,
b) is wrong. A = ½(a + b)h.
c) is wrong. A = ½bh.
d) is wrong. A = bh.
All measurements are rational numbers, so the areas will be rational numbers.
Answer:
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