Answer:

Step-by-step explanation:
If the center of the circle is (1,-2) and the circle passes through the point (4,2), then the radius of the circle is

The equation of the circle with center
and radius r is

In your case, the equation is

Answer:
s = 2t₁ + t₂
3 possible combinations:
t₁ = 0 min , t₂ = 8 min
t₁ = 1 min , t₂ = 6 min
t₁ = 2 min , t₂ = 4 min
Step-by-step explanation:
The distance covered by a body in uniform motion is given by the following equation:
s = vt
where,
s = distance
v = speed
t = time
For running:
s = s₁
t = t₁
v = 2 miles/min
Therefore,
s₁ = 2t₁
For walking:
s = s₂
t = t₂
v = 1 miles/min
Therefore,
s₂ = t₂
And the total distance will be:
s = s₁ + s₂
<u>s = 2t₁ + t₂</u>
where,
s = total distance covered in miles
t₁ = running time in min
t₂ = walking time in min
Now, the total distance is given as 8 miles:
8 = 2t₁ + t₂
So, the 3 possible combinations of time to satisfy this equation can be:
<u>t₁ = 0 min , t₂ = 8 min</u>
<u>t₁ = 1 min , t₂ = 6 min</u>
<u>t₁ = 2 min , t₂ = 4 min</u>
Answer:
a) modal number of teachers in a car is 3
b) median number of teachers in a car is 3
c) mean number of teachers in a car is 2.5
Step-by-step explanation:
- modal number is 3 because that is the highest frequency of numbers of cars
- median number is 3 because it is the middle number when you expand the frequency table.
- mean number is 2.5 because that is the approximate average of all the numbers.