Answer: T T > T
Step-by-step explanation:
Step 1: Determine if the statements are true or false.
1) January is the first month of the year---statement is true
2) December is the last month of the year---statement is true
With this, the truth value will be:
T T > T
The two statements are true, therefore, conjunction of both statements will also be true.
I hope this helps.
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:
SA = 202
Step-by-step explanation:
Surface area = Sum of all 6 areas of each side of the cuboid
SA = 2 (4·5 + 5·9 +9·4), because there are 2 of each kind of sides
SA = 2 (20+ 45 + 36)
SA = 2·101
SA = 202
Answer:
Answer C:
Cannot be true because 
is greater than zero in quadrant 2.
Step-by-step explanation:
When the csc of an angle is negative, since the cosecant function is defined as:
that means that the sin of the angle must be negative, and such cannot happen in the second quadrant. The sine function is positive in the first and second quadrant.
Therefore, the correct answer is:
Cannot be true because is greater than zero in quadrant 2.
Answer:
x= -2
Step-by-step explanation:
-3x+6x+3=x-1
3x-x= -1-3
2x= -4
x= -2
