Answer:
a) Binomial distribution B(n=12,p=0.01)
b) P=0.007
c) P=0.999924
d) P=0.366
Step-by-step explanation:
a) The distribution of cracked eggs per dozen should be a binomial distribution B(12,0.01), as it can model 12 independent events.
b) To calculate the probability of having a carton of dozen eggs with more than one cracked egg, we will first calculate the probabilities of having zero or one cracked egg.

Then,

c) In this case, the distribution is B(1200,0.01)

d) In this case, the distribution is B(100,0.01)
We can calculate this probability as the probability of having 0 cracked eggs in a batch of 100 eggs.

<em>Greetings from Brasil...</em>
Here we will apply rule of 3...
This formula, A = πR², its for the whole circle, that is, 360° (2π)
We want the area of only a part, that is, a circular sector whose angle π/6
sector area
2π ----- πR²
π/6 ----- X
2πX = (π/6).πR²
2πX = π²R²/6
X = π²R²/12π
<h3>X = πR²/12</h3>
If Ronisha multiply the area by 1/12 she will get the area of sector with angle of π/6
Answer:
8% or 0.08
Step-by-step explanation:
Probability of missing the first pass = 40% = 0.40
Probability of missing the second pass = 20% = 0.20
We have to find the probability that he misses both the passes. Since the two passes are independent of each other, the probability that he misses two passes will be:
Probability of missing 1st pass x Probability of missing 2nd pass
i.e.
Probability of missing two passes in a row = 0.40 x 0.20 = 0.08 = 8%
Thus, there is 8% probability that he misses two passes in a row.
Let x be the width of the playground, then 3x is the length of the
<span>playground
х * 3х = 75
3x</span>² = 75
x² = 25
x = 5 m (width)
5*3=15 m (length)
Perimeter = 2(5+15) = 2*20 = 40 meters.
Answer
14/15 kg
Step-by-step explanation:
Rewriting our equation with parts separated
=1+215−15
Solving the fraction parts
2/15−15=?
Find the LCD of 2/15 and 1/5 and rewrite to solve with the equivalent fractions.
LCD = 15
2/15−3/15=−1/15
Combining the whole and fraction parts
1−1/15=14/15
Solution by Formulas
converting mixed numbers to fractions, our initial equation becomes,
17/15−15
Applying the fractions formula for subtraction,
=(17×5)−(1×15)15×5
=85−15/75
=70/75
Simplifying 70/75, the answer is
=14/15