Let <em>X</em> be the random variable representing the amount (in grams) of nicotine contained in a randomly chosen cigarette.
P(<em>X</em> ≤ 0.37) = P((<em>X</em> - 0.954)/0.292 ≤ (0.37 - 0.954)/0.292) = P(<em>Z</em> ≤ -2)
where <em>Z</em> follows the standard normal distribution with mean 0 and standard deviation 1. (We just transform <em>X</em> to <em>Z</em> using the rule <em>Z</em> = (<em>X</em> - mean(<em>X</em>))/sd(<em>X</em>).)
Given the required precision for this probability, you should consult a calculator or appropriate <em>z</em>-score table. You would find that
P(<em>Z</em> ≤ -2) ≈ 0.0228
You can also estimate this probabilty using the empirical or 68-95-99.7 rule, which says that approximately 95% of any normal distribution lies within 2 standard deviations of the mean. This is to say,
P(-2 ≤ <em>Z</em> ≤ 2) ≈ 0.95
which means
P(<em>Z</em> ≤ -2 or <em>Z</em> ≥ 2) ≈ 1 - 0.95 = 0.05
The normal distribution is symmetric, so this means
P(<em>Z</em> ≤ -2) ≈ 1/2 × 0.05 = 0.025
which is indeed pretty close to what we found earlier.
Answer:
-3 or -3/1
Explanation:
It’s going down so it will be negative, it’s always rise over run so rise would be -6 (even tho it goes down which is why it’s a negative) run would be how much it goes over so it would be 2, so it’s -6 over 2 , but then you make the number smaller (simplify) , divide both sections by 2, it would come out to -3 over 1 but the one basically goes away
I want to say 5.5 because I did 11 / 2 and got that so i know it’s wrong but yea
Answer:
87.7 degrees.
Step-by-step explanation:
In triangle ABC, attached.
The height of the building |AB|=443 meters
The distance of the agent across the street , |BC|=18 meters
We want to determine the angle at C.
Now,
The agent should sfoot his laser gun at an angle of 87.7 degrees.
Answer:
9.53 cm2
Step-by-step explanation:
hope it helps
Here is the solution:
