Answer:
11*pi/36
Step-by-step explanation:
Perform the indicated multiplications...
12x*x+12x*2-5*2x-5*(-1)
12x^2+24x-10x+5 combine like terms
12x^2+14x+5
Divide 75 by 2:
75 / 2 = 37.5
Now you need the whole number below 37.5 and the whole number above 37.5:
37 + 38 = 75
The numbers are 37 and 38
Answer:
Car B has the better fuel economy.
Step-by-step explanation:
Calculate the fuel consumption for the two cars:
Car A: (450 km) / (40.5 L) = 1.11 km per L
Car B: (220 km) / (18.7 L) = 1.18 km per L
Car B goes further on one L of gasoline than Car A.
Answer:
Binomial distribution requires all of the following to be satisfied:
1. size of experiment (N=27) is known.
2. each trial of experiment is Bernoulli trial (i.e. either fail or pass)
3. probability (p=0.14) remains constant through trials.
4. trials are independent, and random.
Binomial distribution can be used as a close approximation, with the usual assumption that a sample of 27 in thousands of stock is representative of the population., and is given by the probability of x successes (defective).
P(x)=C(N,x)*p^x*(1-p)^(n-x)
where N=27, p=0.14, and C(N,x) is the number of combinations of x items out of N.
So we need the probability of <em>at most one defective</em>, which is
P(0)+P(1)
= C(27,0)*0.14^0*(0.86)^(27) + C(27,1)*0.14^1*(0.86^26)
=1*1*0.0170 + 27*0.14*0.0198
=0.0170+0.0749
=0.0919
