This value is in the positive quadrant meaning that all values remain positive. To answer this problem you must have an understanding of trig ratios being that tangent is opposite/adjacent. When you plot the points and draw a triangle using the origin of the point, you find that the adjacent value is 5 and opposite value is 15
If a 4 sided figure has 360°...for each side we add, we add 180°.
you have a 7 sided figure (360° + 3(180°) = 900°)
adding up your angles (781) and subtract it from 900 =
x = 119°
Answer: in order to qualify, the time must be at least 15.93 minutes
Step-by-step explanation:
Let x be a random variable representing the average response times of fire departments to fire calls. Since it follows a normal distribution, we will determine the z score by applying the formula,
z = (x - µ)/σ
Where
x = sample mean
µ = population mean
σ = population standard deviation
From the information given,
µ = 12.8 minutes
σ = 3.7 minutes
in order to qualify for the special safety award, the probability value would be to the right of the z score corresponding to 80%
The z score corresponding to 80% on the normal distribution table is 0.845
Therefore,
0.845 = (x - 12.8)/3.7
0.845 × 3.7 = x - 12.8
3.13 = x - 12.8
x = 12.8 + 3.13 = 15.93
