The given in the problem above is an arithmetic sequence with the first term equal to 4 and the common difference is 5. To determine the number of seats on row 23, use the formula,
an = a1 + (n - 1) d
Solving for the 23rd term,
an = 4 + (22) 5 = 114 seats
Therefore, the answer is there are 114 seats on the 23rd row.
Answer:
6
Step-by-step explanation:
From the line plot, the length of wood measuring atleast 1/2 in length include :
Piece with length 1/2 and pieces with length 2/3
Number of pieces with length 1/2 feets = 4
Number of pieces with length 2/3 feets = 2
Pieces with atleast 1/2 feet length = 4 + 2 = 6
Answer:
4x + 4
Step-by-step explanation:
Answer:
It already shows the answers.
Step-by-step explanation:
I'm pretty sure you already submitted. The ones with check marks are correct and the ones with x marks are incorrect.
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.
