<span>the number of months, m
</span><span>Her hair grows 1.5 centimeters per month
</span><span>Svetlana's hair is 4 centimeters long
so hair length after m months = 4 + 1.5m cm long
hair length at least 7 cm long
setting up inequality
4 + 1.5m >= 7
1.5m >= 3
m >= 2
</span>
Answer:
A and C
Step-by-step explanation:
If the time is 4:00 and 15 minutes pass, the new time is 4:15. "Quarter past 4" is referring to a quarter of an hour (60 / 4 = 15, so 15 minutes) after 4:00, which would be 4:15. 15 minutes after 4:00 would also be 4:15.
Say you have a 48 ounce cantaloupe it would be equal to 3 pounds
Answer:
x = 11
Step-by-step explanation:
2x + 34 = 56
2x = 56 - 34
2x = 22
x = 22/2
x = 11
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