Answer:
51
Step-by-step explanation:
Answer: 
Step-by-step explanation:
Given : In a sociology class there are 14 sociology majors and 11 non-sociology majors.
Total students = 14+11=25
Number of students are randomly selected = 3
Then, the number of ways to select 3 students from 25 students :-

Number of ways to select at least 2 of the 3 students re non-sociology majors :-

The probability that at least 2 of the 3 students selected are non-sociology majors will be :-

Answer:
0.6 feet
Step-by-step explanation:
We solve this question using the Trigonometric function of Tangent.
tan θ = Opposite/Adjacent.
Where:
Opposite = Height /Length of the ramp = ?
Adjacent = Distance from the base of the ramp = 4 feet
θ = 8.1°
Therefore,
tan 8.1° = x/4
Cross Multiply
x = tan 8.1 × 4
x = 0.5692843028 feet
Approximately = 0.6 feet
Length of the ramp = 0.6 feet.
We know this angle is a 90° or a right angle. So another words we know adding these 2 expressions equals to 90°.
(4x + 3) + (x - 8) = 90°
Remove the parentheses and combine the like-terms:
5x - 5 = 90°
Add 5 on both sides:
5x = 95°
Divide 5 on both sides
x = 19
You answer is x = 19.
Answer:
23.1m
Step-by-step explanation:
we define x to be the actual distance, y to be the distance on map (y=15.4cm)
if the map scale is 3:750, then by definition of scaling, x and y must satisfy:

we isolate x:
