Answer:
6
Step-by-step explanation:
logx 27 * log3 x^2
The first step is to convert to base 10
(log 27/logx) * (log x^2/log3)
27 = 3^3 so we can rewrite this
(log 3^3/logx) * (log x^2/log3)
log a^b = b log a
(3 log 3/logx) * (2log x/log3)
We can cancel the log x in the numerator and denominator and the log 3 in the numerator and denominator
3 * 2
6
You must subtract, add, then divide. The answer is 3.66666666667
we are given
radius=r=12m
height=h=9m
now, we can use formula of volume of cylinder
now, we can plug values
and we get
we get
so, the exact volume of the cylinder is 
..........Answer
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
20 + (0.4 × 15) + 12 + (0.4 × 10) = 20 + 6 + 12 + 4 = 42
20 + 15 + 12 + 10 = 57
57 - 42 = 15
15 ÷ 57 × 100 = 1500 ÷ 57 = 26.3
Ans = $42.00, 26% off ...
