<h2>
Answer:</h2>
For ∠1: Because all angles inside a triangle equal 180°, set ∠2, 68, and ∠1 equal to 180, then solve for ∠1.
∠1 = 63°
For ∠3: Subtract 93 from 180 to get ∠3
∠3 = 87°
For ∠4: Because all angles inside a triangle equal 180°, set ∠3, 49, and ∠4 equal to 180, then solve for ∠4.
<h2>
</h2>
∠4 = 44°
∠2 = 49°
Answer:
2 left
Step-by-step explanation:
74/3 = 24.
24*3 = 72
74-72 = 2
Answer:
0.5 ; 0.475 ; 0.689 ; 0.4013
Step-by-step explanation:
Given that:
Rate of production of defective batteries p = 0.05
Number of batteries produced (n) = 10
The expected number of defective batteries = mean = n * p = 10 * 0.05 = 0.5 batteries
Variance of defective batteries :
Var(X) = n * p * q ; q = 1 - p
Hence,
Var(X) = 10 * 0.05 * 0.95 = 0.475
Standard deviation (X) = sqrt(variance) = sqrt(0.475) = 0.689
Probability that atleast 1 battery is defective :
Using the binomial probability function
P(x ≥ 1) = 1 - p(x = 0)
= 1 - q^n
= 1 - 0.95^10
= 1 - 0.59873693923837890625
= 0.40126306076162109375
= 0.4013
