Answer:
x = 269/15
Step-by-step explanation:
(3x - 5) / 6 - (4 + x) / 7 = 5
7(3x - 5) - 6(4 + x) = 5(42)
21x - 35 - 24 - 6x = 210
15x - 59 = 210
15x = 269
x = 269/15
Answer:
Step-by-step explanation:
Answer:
<h2>f(5) = 17</h2>
Step-by-step explanation:
f(x)=3x+2
To find f (5) replace every x in f(x) by 5
That's
f(5) = 3(5) + 2
= 15 + 2
<h3>= 17</h3>
Hope this helps you
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:
- Parallelogram has two pairs of parallel sides.
- Square has four right angles, two pairs of parallel sides, and all sides congruent.
- Trapezoid has only one pair of parallel sides.
Step-by-step explanation:
