Answer:
<u>Mode = 1</u>
Step-by-step explanation:
<u>Relation between the Central Measures of Tendency</u>
- Mean, Median, and Mode are commonly referred to as the Central Measures of Tendency
- The formula between the three is given by :
- ⇒ <u>Mode = 3Median - 2Mean</u> or <u>Mode + 2Mean = 3Median</u>
<u></u>
<u>Solving</u>
- Median = 5
- Mean = 7
Therefore,
- Mode = 3(5) - 2(7)
- Mode = 15 - 14
- <u>Mode = 1</u>
6x+4=x-11
x=-3
needs to be 20 characters
Answer:
(x-1)²+ (y-0.5)²=6.25
Step-by-step explanation:
<u>The standard form of equation of a circle is;</u>
(x-a)²+(y-b)²=r² where (a,b) are the center of the circle and r is the radius
<u>Finding the mid-point of the given points</u>
(-1,2) and (3,-1)⇒midpoint will be 1/2(x₁+x₂) , 1/2(y₁+y₂)
midpoint= {1/2(-1+3), 1/2(2+-1)}
midpoint=(1,0.5)
<u>Finding the radius r; the distance from the center to either of the given two points</u>
Apply the distance formula d=√ (x₂-x₁)² +(y₂-y₁)²
Taking (x₁,y₁) as (1,0.5) and (x₂,y₂) as (-1,2) then
d=√ (-1-1)² +(2-0.5)²
d= √ (-2)²+(1.5)²
d=√4+2.25⇒√6.25⇒2.5
r=2.5
<u>Equation of the circle</u>
(x-1)² + (y-0.5)²=2.5²
(x-1)²+ (y-0.5)²=6.25
Neither inscribed in the circle, nor circumscribed about it! 2 if the sides of the triangle are TANGENT to the circle, which means just touching at one point
You have 40/16
simplified by 8 and you have 5:2
so the answer is d. 5:2