Answer: t=−10h+20
Step-by-step explanation:
Answer:
The desired radius is r = 7.5 inches
Step-by-step explanation:
The formula for the volume of a sphere of radius r is V = (4/3)πr³. A hemisphere is half a full sphere, so the formula for the volume of a hemisphere of radius r is (4/3)(1/2)πr³, or (2/3)πr³.
We know that the volume of the hemisphere is 885 in³:
885 in³ = (2/3)πr³ and need to solve this first for r³ and then for r.
This is equivalent to:
885 in³ = (2π/3)r³.
We can now isolate r³ by multiplying both sides of this equation by (3 / [2π]):
(3 / [2π])(885 in³) = (3 / [2π])(2π/3)r³ = r³
Then r³ = 422.556 in³
Finally, we find the desired hemisphere radius by taking the cube root of both sides of the above equation:
r = ∛(422.556 in³) = 7.5 in (which is to the nearest tenth of an inch)
The desired radius is r = 7.5 inches
Answer with Step-by-step explanation:
Contain Buy Do not contain Buy Total
Spam 48 12 60
Not Spam 4 36 40
P(it contains the word buy and it is spam)=48/100
P(It is spam)=60/100
Baye's theorem states that:
P(A given B)=P(A∩B)/P(B)
P( it contains the word buy, Given that an email is spam)
=P(it contains the word buy and it is spam)/P(It is spam)
= 0.48/0.60
=0.80
Hence, Correct option is:
A.] 0.80
I only know the y intercept which is 0,3
Answer:
The function touches the damping factor
at x=
and x=
The x-intercept of f(x) is
at x=
Step-by-step explanation:
Given function is f(x)=
and damping factor as y=
and y=
To find when function touches the damping factor:
For f(x)= and y=
Equating the both the equation,
x=
For f(x)= and y=
Equating the both the equation,
x=
Therefore, The function touches the damping factor x= and x=
To find x-intercept of f(x):
For x-intercept, y=0
f(x)=
y=
Hence, is always greater than zero.
Therefore,
x=
Thus,
The x-intercept of f(x) is at x=
