Answer:
0.053
Step-by-step explanation:
This is a geometric distribution problem.
I'm geometric distribution problem,
E(X) = 1/p
Where;
E(X) is expected value and p is probability of success
Thus;
1/p = 12.5
p = 1/12.5
p = 0.08
Now, to find the probability that the sixth person tested is the first one with high blood pressure, we will use the probability formula in geometric distribution which is;
P(X = k) = qⁿ•p
q = 1 - p
q = 1 - 0.08
q = 0.92
Thus;probability that the sixth person tested is the first one with high blood pressure will be expressed as;
P(X > 5) = (0.92^(5)) × 0.08
P(X > 5) = 0.053
Answer:
162.4 in²
Step-by-step explanation:
LETS GET INTOOOOEEETTT
Let's start with what we know:
Area of regular octagon = 1/2 x perimeter x apothem
We know the apothem, so all that we need to find to fill in the above equation is the perimeter:
perimeter = 8 x 5.8 = 46.4in
Now we can fill in our original equation and solve:
Area of regular octagon = 1/2 x perimeter x apothem
Formula = n (s/2)² divided by tan( π /n)
= 8 (5.8/2)² divided by tan ( π /8)
= 162.4283 in²
ORRR when rounded to the nearest tenth,
=162.4 in²
Answer:
surface area is 216 and the volume is 216
It’s D, when lines are perpendicular, the slopes of the lines are opposite reciprocals.
I.) (5x+3)/4-(2x-4)/3=5
Clear fractions:
3·((5x+3)/4)=15x+9
4·((2x-4)/3)=8x-16
15x+9-(8x-16)=5
15x+9-8x+16=5
Combine like terms:
7x+25=5
7x=-20
x=-20/7
II.) (3/11)·(5/6)-(9/12)·(4/3)+(5/13)·(6/15)
Remember PEMDAS
So first multiply:
3/11·5/6=15/66
9/12·4/3=3/3·1/1=3/3=1
5/13·6/15=1/13·6/3=6/39=2/13
(15/66)-1+(2/13)
Combine:
15/66-1/1=15/66-66/66=-51/66
-51/66+2/3=-51/66+44/66=-7/66
Answer: -7/66 :)
