Answer & Step-by-step explanation:
We will only get a tornado if there is already a thunderstorm materializing
0.80 * 0.14 = 0.112
Probability of a tornado = 11.2%
There is a 100 - 14 = 86% chance of a tornado not being produced.
0.80 * 0.86 = 0.688
Probability of a storm and no tornado = 68.8%
The ratio of the circumference to the diameter is defined as pi
pi=circumference/diameter
that is how they got pi
in this question it woul be 15.7/5 which would be 3.14,
c=2pir
a=pir^2
c=2pir=16pi
divide both sides by 2pi
r=8
a=pir^2
a=pi8^2
a=pi64
a=64pi in²
a. Answer: D: (∞, ∞)
R: (-∞, ∞)
<u>Step-by-step explanation:</u>
Theoretical domain is the domain of the equation (without an understanding of what the x-variable represents).
Theoretical range is the range of the equation given the domain.
c(p) = 25p
There are no restrictions on the p so the theoretical domain is All Real Numbers.
Multiplying 25 by All Real Numbers results in the range being All Real Numbers.
a) D: (∞, ∞)
R: (-∞, ∞)
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b. Answer: D: (0, 200)
R: (0, 5000)
<u>Step-by-step explanation:</u>
Practical domain is the domain of the equation WITH an understanding of what the x-variable represents.
Practical range is the range of the equation given the practical values of the domain.
The problem states that p represents the number of cups. Since we can't have a negative amount of cups, p ≥ 0. The problem also states that Bonnie will purchase a maximum of 200 cups. So, 0 ≤ p ≤ 200
The range is 25p → (25)0 ≤ (25)p ≤ (25)200
→ 0 ≤ 25p ≤ 5000
b) D: (0, 200)
R: (0, 5000)
Answer:
p=122 q=80 r=80
Step-by-step explanation:
Answer:
A point on the ellipsoid is (-4,2,2) or (4,-2,-2)
Step-by-step explanation:
Given equation of ellipsoid f(x,y,z) :
Parametric equations:
x=-4t-1
y=2t+1
z=8t+3
Finding the gradient of function
So, The directions vectors=(-4,2,8)
Now the line is perpendicular to plane when direction vector is parallel to the normal vector of line
So, 
Substitute the value of x , y and z in the ellipsoid equation
With 
x=-2(2)=-4
y=2
z=2
With
x=-2(-2)=4
y=-2
z=-2
Hence a point on the ellipsoid is (-4,2,2) or (4,-2,-2)
