The fraction of a defective item getting by both inspectors is 
= 
Step-by-step explanation:
Step 1; Assume that the probability of the first inspector missing a defective part is P(A) and the probability of the second inspector missing those that do get past the first inspector is P(B).
Step 2; It is given that P(A) = 0.1, we convert this into a fraction so that the final probability will be a fraction and not a decimal.
P(A) = 0.1 = 
.
It is given that the second inspector misses 5 out of 10 that get past the first inspector, so P(B) = 
.
Step 3; To calculate the probability of both inspectors missing a defective part, we multiply both the probabilities.
P(A and B happening) = P(A) × P(B) = × = = = 0.05%. So there is a 0.05% chance of both inspectors missing a defective part.
Answer:
3360000
Step-by-step explanation:
Answer:
B is a table and the x-axis is 12 as the area
Step-by-step explanation:
Answer:
The circumference formula for a circle is C=πd where C is the circumference, d is the diameter of the circle and π is a constant. If you plug in 6 for C and solve the equation for d like:
6= πd and then divide both sides of the equation by π you get that d = 1.90
To find the central angle of an arc you would use the equation S = rθ where S is the length of the arc, r is the radius of the circle, and θ is the measure of the angle which in this case is unknown. So with S = 1 and r = d/2 = 1.90/2 = 0.9549 you would have an equation that looks like this:
1 = 0.9549θ.
If you divide both sides of the equation by 0.9549 you get θ = 1.047197 radians.
The question asked for the angle measure in degrees so you would need to convert the angle measure to degrees by multiplying the degree measurement by 180/π
1.047197 x 180/π = 60°
Answer:
B
Step-by-step explanation:
x² - 4x - 7 = 0
(x - 2)² = 11
