Answer:
The probability that the 3rd defective mirror is the 10th mirror examined = 0.0088
Step-by-step explanation:
Given that:
Probability of manufacturing a defective mirror = 0.075
To find the probability that the 3rd defective mirror is the 10th mirror examined:
Let X be the random variable that follows a negative Binomial expression.
Then;





= 0.0087999
≅ 0.0088
Volume of the cylinder is 480 cm³ (rounded off to the nearest tenth)
Step-by-step explanation:
- Step 1: Find volume of the cylinder when radius = 4 cm and height = 9.5 cm
Volume = πr²h = 3.14 × 4² × 9.5
= 3.14 × 16 × 9.5 = 477.28 cm³ ≈ 480 cm³
Answer:
(t^2 -4) (t^2 +4)
(t-2)(t+2)(t^2+4)
Step-by-step explanation:
t^4 - 16
We can write this as the difference of squares
We know the dfference of squares is
(a^2 - b^2) = (a-b) (a+b)
( t^2 ^2 - 4^2) = (t^2 -4) (t^2 +4)
We can write t^2 -4 as the difference of squares
t^2 -4 = t^2 -2^2 = (t-2)(t+2)
Replacing this in
( t^2 ^2 - 4^2) = (t^2 -4) (t^2 +4) = (t-2)(t+2)(t^2+4)
Answer:
B
Step-by-step explanation:
B