So hmm notice the picture below
simply get the area of the segment, and subtract it from the area of the circle, what's left, is the difference
notice your circle, has a radius "r" of 18
Answer:
x = 5
Step-by-step explanation:
x² + (2x+2)² = (2x+3)²
x² + 4x² + 8x + 4 = 4x² + 12x + 9
x² - 4x - 5 = 0
(x - 5)(x + 1) = 0
x = -1 This can be discounted as the answer because you cannot have a negative length
answer: x = 5
Answer:
8
Step-by-step explanation:
7x - 5x = 14 + 2
2x = 16
x = 16/2
x = 8
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:
total 20 squares in matrix of size 4×3
Step-by-step explanation:
in square of size 1×1
six squares of size 2×2
2 squares of size 3×3
