Answer:
66.341 Feet
Step-by-step explanation:
length 819
width 818
(Length x width)
divide both by 100.5
819/100.5
818/100.5
8.14925373134
8.13930348259
round
8.15
8.14
length times width
8.15*8.14
66.341
Answer:
a) probability that is cracked=1/30 (3.33%)
b) probability that is discoloured = 29/600 (4.83%)
c) probability that is cracked and discoloured = 11/600 (1.83%)
Step-by-step explanation:
assuming that each stone is equally likely to be chosen then defining the events C= the stone is cracked , D= the stone is discoloured , N= the stone is neither cracked or discoloured, then
P(C)= number of favourable outcomes/total number of outcomes = 20 stones/600 stones = 1/30 (3.33%)
P(D)= number of favourable outcomes/total number of outcomes = 29 stones/600 stones = 29/600 (4.83%)
the probability that is discoloured and cracked is P(C∩D) , where
P(C∪D)=P(C) + P(D)-P(C∩D)
and
P(C∪D)= 1- P(N)
thus
1- P(N)=P(C) + P(D)-P(C∩D)
P(C∩D)= P(N)+P(C)+P(D) -1
replacing values
P(C∩D)= P(N)+P(C)+P(D)=562/600 + 20/600 + 29/600 -1= 611/600 -1 = 11/600
thus
P(C∩D)= 11/600 (1.83%)
Answer:
4.5×10^17 m²
Step-by-step explanation:
The radius is half the diameter, so we can make the substitution r=d/2 into the formula to get ...
A = 4πr² = 4π(d/2)² = πd²
Filling in the given values and doing the arithmetic gives ...
A = 3.14×(3.8×10^8 m)² = 45.3416×10^16 m²
A ≈ 4.5×10^17 m²
__
We round to 2 significant digits because that is the precision of the given diameter.
Answer:
x = 64°
Step-by-step explanation:
