Answer:
Step-by-step explanation:
Use the trigonometry formula
You are given that
Substitute into the first formula
Angle 
is acute angle, then the sine of this angle is positive and
Answer:32-10x
Step-by-step explanation:
The answer would have to be B because of the pi.
<h3>Answer :- </h3>
- Let the three consecutive numbers be x -2 , x and x + 2
- Their sum = ( x - 2 ) + ( x + 2 ) = 3x
- This is the given equal to 54
- 3x = 54 or x = 54/3
- x = 18
<em>Thus </em><em>,</em><em> </em><em>the </em><em>required </em><em>numbers </em><em>are </em><em>1</em><em>6</em><em> </em><em>,</em><em> </em><em>1</em><em>8</em><em> </em><em>,</em><em> </em><em>2</em><em>0</em><em> </em>
Answer: 135 days
Step-by-step explanation:
Since the amount of time it takes her to arrive is normally distributed, then according to the central limit theorem,
z = (x - µ)/σ
Where
x = sample mean
µ = population mean
σ = standard deviation
From the information given,
µ = 21 minutes
σ = 3.5 minutes
the probability that her commute would be between 19 and 26 minutes is expressed as
P(19 ≤ x ≤ 26)
For (19 ≤ x),
z = (19 - 21)/3.5 = - 0.57
Looking at the normal distribution table, the probability corresponding to the z score is 0.28
For (x ≤ 26),
z = (26 - 21)/3.5 = 1.43
Looking at the normal distribution table, the probability corresponding to the z score is 0.92
Therefore,
P(19 ≤ x ≤ 26) = 0.92 - 28 = 0.64
The number of times that her commute would be between 19 and 26 minutes is
0.64 × 211 = 135 days
