Answer: 2.75 minutes
Step-by-step explanation:
It is the same process because ratios and fractions are the same. For example, ratio 1 : 3 can be written in the form of fractions as 1/3. Ratio 1 : 4 is fraction 1/4, and so on. So, if you want to find equivalent ratios, you will use the same process as for finding equivalent fractions.
Answer: for how fast paint dries problem the answer is 68% with A confidence interval of 44.5 to 45.5
Step-by-step explanation: apex
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: -8 is the answer.
Step-by-step explanation:
according to the question:
{{(8+4)*5}/(-10)}-2
= {[12*5}/(-10)]-2
= [60/(-10)]-2
= -6-2 = -8
