Answer:
28.26
Step-by-step explanation:
A = r^2
So the equation is. Area of circle = pi(3.14) * radius(3) to the power of 2 (^2)
A = 3.14(3)^2
A = 3.14(9)
A = 28.26
Answer:
P(K > 2.2) = 0.1375
Step-by-step explanation:
We have that:
P(-2.2 ≤ K ≤ 2.2) = 0.725
P(K < -2.2) = P(K > 2.2)
It means that the distribution is symmetric.
The sum of all the probabilities is decimal 1.
We have the following probabilities:
P(K < 2.2)
P(-2.2 ≤ K ≤ 2.2)
P(K > 2.2)
So
P(K < 2.2) + P(-2.2 ≤ K ≤ 2.2) + P(K > 2.2) = 1
Since P(K < 2.2) = P(K > 2.2)
P(K > 2.2) + P(-2.2 ≤ K ≤ 2.2) + P(K > 2.2) = 1
2P(K > 2.2) + 0.725 = 1.
2P(K > 2.2) = 1 - 0.725
2P(K > 2.2) = 0.275
P(K > 2.2) = 0.275/2
P(K > 2.2) = 0.1375
Answer:
The area of the circle is 19.5 in²
Step-by-step explanation:
First of all to solve this problem we have to know the formula to calculate the volume of a cone
v = volume = 52 in³
r = radius
h = height = 8 in
π = 3.14
v = 1/3 * π * r² * h
we solve r
3 * v /h * π = r²
we replace the known values
3 * 52 in³ / 3.14 * 8 in = r²
156 in³ / 25.12 in = r²
6.21 in² = r²
√6.21 in² = r
2.49 in = r
now that we have the radius we need to use the area formula of a circle:
a = area
r = radius = 2.49 in
π = 3.14
a = π * r²
we replace the known values
a = 3.14 * (2.49 in)²
a = 3.14 * 6.21 in²
a = 19.5 in²
The area of the circle is 19.5 in²
Answer:
15 units
Step-by-step explanation:
Calculate the distance d using the distance formula
d = 
with (x₁, y₁ ) = (0, - 2) and (x₂, y₂ ) = (9, 10)
d = 
= 
= 
= 
= 15
Answer:
or 
Step-by-step explanation:
We need to divide 300 by 20.
We get
or
.