Number of matchsticks required is 2. Rule which matchstick pattern is 2 x n.
The height of the given trapezoid is 7.5 m.
Step-by-step explanation:
Step 1:
The trapezoid's area is calculated by averaging the base lengths and multiplying it with the trapezoid's height.
The trapezoid's area, 
Here
is the lower base length and
is the upper base length while h is the height.
Step 2:
In the given problem,
and
. Assume the height is h m.
The trapezoid's area 


So the height of the given trapezoid is 7.5 m.
Given that 4000 items are checked in one month, let the number of detective items be represented as y.
Quality control finds on average that 0.026% of the items in the factory are detective. This implies that

When 4000 items are checked, we have the number of detective items to be evaluated as

Hence, the number of detective items is 1.04.
Answer:
r = 10 cm
Step-by-step explanation:
r² = 8² + 6²
r² = 64 + 36 = 100
r = 10 cm
Assuming this is a binomial distribution, P(x=15) = 0.0416