The vertex angle of any triangle of the dodecagon formed by radii and a side is 360/12=30º.
The half-length of the base of the triangle is sin15=0.2588 approx.
Since there are 12 sides there are 24 half-sides in the perimeter=6.2117.
Answer:
3.69 C.
Step-by-step explanation:
if u use the calculator it will have a lot of numbers but to the nearest hundreth it is 68 rounded is 69
Let the four numbers be A,B,C,D in ascending order.
The key is in conditions 2 & 3.
B-C=-4, and B+C=0
therefore B=-2, C=2 by solving the two previous equations.
Given that the product of the two greatest numbers is 6, we have C*D=6, or
D=6/C=6/2=3
Now since the sum of all the four numbers is -6, we have
A+B+C+D=-6
A-2+2+3=-6
A=-6+2-2-3=-9
Check: we were told smallest divided by greatest = A/D=-9/3=-3 ok.
So the numbers are
A=-9, B=-2, C=2, D=3.
Answer: (a) mean = 32.00
(b)Standard error = 0.068
It is expected that the shape will approximately large because n is large.
(c)P(z< 0.60)= 0
Step-by-step explanation:
a. Mean = nP= 0.64× 50 = 32.00(2dp)
P= 0.64
b. Standard error = √ p(1-p)/n
= √0.64(0.36)/50
= 0.068(3dp)
c. Using P(Z<X - U/S)
Where S = standard error
U = mean = 0.64
(c)P(z< 0.60)=
= P( z< 0.60 - 0.64/0.068)
= P( z < -5.88)
= 0.
Steps:
1. Multiply 4 by 1.5 which equals 6
2. Do 6 times 8
3. Your answer is 48
With volume you have to multiply the length x width x height