Answer:
Probability that detector B goes off is '0.615'
Step-by-step explanation:
Given that:
1) Probability that detector A goes off and detector B does not go off is 0.25.
2)Probability that detector A does not go off is 0.35.
3)Probability that detector A goes off is (1-0.35)=0.65
Assuming that
Probability that detector B goes off is 'p' Hence the probability that detector B does not goes off is (1-p)
Thus the probability that detector A goes off and detector B does not go off is product of the individual probabilities
Probability that detector B goes off is '0.615'
Hello from MrBillDoesMath!
Answer: radius = 20
Discussion:
The distance between two complex points z1 ( = x1 + i y1) and z2 ( = x2 + iy2) is
sqrt ( (x1-x2)^2 + (y1-y2)^2)
In our case z1 = -10 - 1i and z2 = 6 + 11i. Per the above formula, the distance, or radius of the circle, is given by
sqrt ( (-10 - 6)^2 + ( -1 - 11)^2 ) =
sqrt ( ( -16)^2 + (-12)^2) ) =
sqrt ( 256 + 144) =
sqrt(400) =
20
Thank you,
MrB
the answer would be 12 and 8
SOLUTION OF TRIANGLE:
a i) use this formula, a² = b² + c² - 2bc cos A
a² = 8² + 10² - 2(8)(10) cos 60
= 84
a = 9.17 cm
UW = 9.17 cm
ii) use formula no 12 as attached :
sin
to solve this,
( sin 40 / 11 ) x 9.17 = 0.5358511
press shift sin on ur calc & the answer is :
FUNCTION
a) f(x) = x-3
g(x) = x²-1
i) f(6) = 6-3
substitute x with the value given in the bracket into equation
f(6) = 6-3
= 3
ii) to do inverse function use this formula :
u = f(x)
u = x - 3
and then make x as the subject
x = u + 3
after that, just change u to x
f-1(x) = x + 3
iii) f [ g(2) ] = f [ g(-2) ] = 0
g(2) = (2)² - 1 g(-2) = (-2)² - 1
= 4 - 1 = 4 - 1
= 3 = 3
f(3) = 3-3
= 0
You need the first term and the common ratio.
