The possible permutations are 6P3 which is 120. Out of those there are 7 ways to get 6 with three dice. So P(6)=7/120
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:
Step-by-step explanation:
There are five lines of symmetry in a regular pentagon:
Each going from side midpoint to opposite vertex.
here is a drawing of all of them filled in:
Answer:
D
Step-by-step explanation:
f(x) = 10x - 5 → x = 10g(x) - 5 → x + 5 = 10g(x) →
g(x) = (x + 5)/10
Answer:
So the value of s = 7
cm
Step-by-step explanation:
We know that, Area of a triangle = 1/2 * b * h
So, base = 24 cm
height = s
Area = 1/2 * b * h
=>84 = 1/2 * 24 * h
=>84 = 12 * h
=>84 / 12 = h
=> 7 = h (in cm)
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