Answer:
the probability that a sample of 4 bags will have a mean weight less than 9.8 pounds is 0.05
Step-by-step explanation:
Given the data in the question;
μ_x = 10 pound bags
standard deviation s_x = 0.24 pounds
sample size n = 4
The bag weights are normally distributed so;
p( x' less than 9.8 ) will be;
p( (x'-μ_x' / s_x') < (9.8-μ_x' / s_x') )
we know that;
μ_x' = μ_x = 10
and s_x' = s_x/√n = 0.24/√4
so; we substitute
p( z < ( (9.8 - 10) / (0.24/√4) )
p( z < -0.2 / 0.12 )
p( z < -1.67 )
{ From z-table }
⇒ p( z < -1.67 ) = 0.0475 ≈ 0.05
Therefore, the probability that a sample of 4 bags will have a mean weight less than 9.8 pounds is 0.05
Answer:
iohji
Step-by-step explanation:
Answer: 29.2%
Step-by-step explanation:
The total surface area is 196.9 million square miles and out of this, land occupies 57.5 million square miles.
The probability that a meteorite would hit land is the percentage of and out of the entire planet area:
= Land area/ Total earth surface area
= 57.5/ 196.9
= 29.2%
Answer:
12.56 (13 if rounded)
Step-by-step explanation:
A=pi x r squared
A=2 squared multiplied by pi
A=4 times pi
plug into calculator should be about 12.56
3x^(2)+4x-3x-5-2=0
3x^(2)+x-7=0
Discriminat= b^(2)-4ac= 1^(2)-4(3)(-7)= 1-12(-7)=1+84=85
The discrimination is bigger than 0 (delta>0) therefore there are 2 real solutions
