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.
The answer is the 2nd one because you can only fold this object like this and no other way.
The angle that is obtuse is 1, because it is greater than 90°.
Hope this helps and have a nice day:)
Answer:
Rate in relationship A = (6 - 3)/(8 - 4) = 3/4 = 0.75
For Table A: Rate = (3 - 1.2)/(5 - 2) = 1.8/3 = 0.6
For table B: Rate = (3.5 - 1.4)/(5 - 2) = 2.1/3 = 0.7
For table C: Rate = (4 - 1.6)/(5 - 2) = 2.4/3 = 0.8
For table D: Rate = (2 - 1.5)/(4 - 3) = 0.5/1 = 0.5
Therefore, the correct answer is option C.
The expression r - 5√r+r² is a polynomial.
<h3>What is a polynomial?</h3>
Mathematical expressions called polynomials have one variable and many exponents.
The algebraic expression must have all of its exponents be non-negative integers in order for it to be a polynomial. As a general rule, an algebraic expression isn't a polynomial if it contains a radical.
No part of an algebraic expression should be - Variables' square roots. variable powers that are fractional. variable powers that are negative. variables in any fraction's denominator.
Exponents, variables, and constants make up a polynomial. The amount of terms a polynomial has determines its name.
Polynomials come in various varieties. Monomial, binomial, and trinomial, respectively.
The idea of the graph of a polynomial equation was first introduced by René Descartes in La géometrie, published in 1637.
To learn more about polynomial refer to:
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