The diameter of a circle is 5 in. Find its area to the nearest hundredth.
2 answers:
Answer:
19.63 in²
Step-by-step explanation:
Given:
<u>Determine the radius of the circle:</u>
The relationship between the diameter and the radius of the circle is that the diameter is two times larger than the radius. Thus, the diameter needs to be divided by two to obtain the radius of the circle.
- ⇒ Diameter/2 = Radius
- ⇒ 5 inches/2 = Radius
- ⇒ 2.5 inches = Radius
<u>Determining the area of the circle:</u>
The area of the circle is πr². Let's substitute the measure of the radius to determine the area of the circle.
- ⇒ πr² = Area of circle
- ⇒ π(2.5)² = Area of circle
Simplify the square of 2.5:
- ⇒ π(2.5)(2.5) = Area of circle
- ⇒ 6.25π = Area of circle
Replace π with 3.14 (Approx.):
- ⇒ 6.25(3.14) = Area of circle
- ⇒ 19.625 in² = Area of circle
Furthermore, the question said to round to nearest hundredth...
⇒ 19.63 in² = Area of circle
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Answer:
0.6125
Step-by-step explanation:
We have,
P(ripe avocados) = 0.45 , n = 5
by binomial distribution,
P(x=k) =
P(2 ≤ x ≤ 3) = P(x=2) + P(x=3)
P(x=2) =
= 10 x (0.45)² x (0.55)³
= 0.3369
P(x=3) =
= 10 x (0.45)³ x (0.55)²
= 0.2756
So, P(2 ≤ x ≤ 3 ) = 0.3369 + 0.2756
= 0.6125