Answer:
The percent of the area under the density curve where 
is more that 3 is 25 %.
Step-by-step explanation:
Since the density curve is a linear function, the area under the curve can be calculated by the geometric formula for a triangle, defined by the following expression:
(1)
Where:
- Area, in square units.
- Base of the triangle, in units.
- Height of the triangle, in units.
The percent of the area is the ratio of triangle areas under the density curve multiplied by 100 per cent, that is:
The percent of the area under the density curve where is more that 3 is 25 %.
Check the picture below
notice, using the 30-60-90 rule, since that triangle is a 30-60-90 triangle, we get 11 = 2x
Answer:
4 weeks
Step-by-step explanation:
15 + 2x = 23
2x = 8
x = 4
The given scale for the map means that a distance of 1 cm between two locations on the map corresponds to a real distance between them of 600,000 cm = 6 km.
So, if the distance between two places in reality is 87 km, on the map this would be represented by a distance of 14.5 cm, since
87 = 84 + 3
87 = 6 • 14 + 6 • (1/2)
87 = 6 • (14 + 1/2)
< o and < m are congruent because opposite angles are congruent
3t - 15 = 2t + 10
3t - 2t = 10 + 15
t = 25
3t - 15 = 3(25) - 15 = 75 - 15 = 60...< m = 60
< m and < o are consecutive angles and they are supplementary....so they add up to 180
< m + < o = 180
60 + < o = 180
< o = 180 - 60
< o = 120
3s = 120
s = 120/3
s = 40
