Answer:
see explanation
Step-by-step explanation:
Before simplifying the ratios we require them to have the same units.
(1)
$4.50 = 450c, thus
90c : $4.50
= 90 : 450 ← divide both parts by 10
= 9 : 45 ← divide both parts by 9
= 1 : 5
(2)
1.2 m = 1.2 × 100 = 120 cm, thus
80 cm : 1.2 m
= 80 : 120 ← divide both parts by 10
= 8 : 12 ← divide both parts by 4
= 2 : 3
Answer:
h
Step-by-step explanation:
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
