Answer:
Step-by-step explanation:
According to the given box plot, the 25% point matches the number 2.
<u>It means the rest of the scores are 2 or more runs:</u>
- 100% - 25% = 75% = 0.75 = 3/4 of all the runs
We have the following equation:
y = 2 (2.71) ^ x
It is an equation of the form:
y = A (b) ^ x
Where,
A: initial amount
b: growth rate
We have then that the initial amount occurs for x = 0
Substituting:
y = 2 (2.71) ^ 0
y = 2 (1)
y = 2
Answer:
the initial value of and in the equation y = 2 (2.71) ^ x is:
y = 2
For this question, you must use the Pythagorean theorem.
a^2 + b^2 = c^2
In this situation c=16 and a=6
First do 16^2. This equals 256
Second do 6^2. This equals 36
Now, subtract 36 from 256 and fond the square root.
Your answer should be 14.8
Given:
mean, μ = 11 lb
Std. deviation, σ = 2.1
Let x = the weight that separates the top 5% of the crop.
The z-score is
z = (x - μ)/σ
= (x - 11)/2.1
From standard z-table for normal distribution,
P(z=1.645) = 0.95
Therefore
(x - 11)/2.1 = 1.645
x - 11 = 1.645/2.1 = 0.7833
x = 11.783
Answer: 11.8 lb (nearest tenth)
