Answer: The required probability is 0.1328.
Step-by-step explanation:
Since we have given that
n = 5
Probability of success = p = defective rate = 3% = 0.03
Probability of failure = q = 1-p = 1 - 0.03 = 0.97
So, we will use "Binomial distribution":
probability that the first defective occurs in the fifth item inspected would be

Hence, the required probability is 0.1328.
Answer:
7.)
m<1 = 141
m<2= 39
m<3 = 141
8.)
m<1 = 17
m<2 = 73
m<3 = 107
9.)
m<1 = 101
m<2 = 33
m<3 = 71
Step-by-step explanation:
use the postulates and theorems your teacher gave you.
Also you need some logic
Answer:
2.5
Step-by-step explanation:
5x+3x=20
8x=20
x=20/8=2.5
Answer:
first get their difference and then get positions of the difference and get the factors and then you will get the nth term
5) So for parallelogram ABCD, ∠B ≅ ∠D, and ∠A ≅ ∠C. Further, ∠B and ∠A are supplementary (i.e., their sum is 180°), and ∠D and ∠C are also supplementary.
So, we have that m∠B = m∠D. Therefore,

Now, let's substitute for x back into the expression for either ∠B or ∠D to find it's angle measure.
m∠B =

Now, remember that ∠B or ∠D are supplements of ∠A.
So, m∠B + m∠A = 180°.
That means m∠A = 180° – 72° = 108°.
That seems reasonable, because A appears to be an obtuse angle.