Answer:
235.75
Step-by-step explanation:
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
Answer:the area of triangle ABC is
346.4 feet^2
Step-by-step explanation:
The given triangle ABC is shown in the attached photo.
The formula for determining the area of a triangle is expressed as
Area = 1/2(abSinC) = 1/2(bcSinA)
A = 60 degrees
b = 40 feet
c = 20 feet
Therefore, area of the triangle is
1/2(bcSinA) = 1/2(40 × 20 × Sin60)
= 1/2 × 40 × 20 × 0.8660
= 346.4 feet^2
Alternatively, we can apply Heron's formula. We would determine the length of a by applying cosine rule,
a^2 = b^2 + c^2 -2bcCosA
Then, Heron's formula is expressed as
Area = √S(S - a)(S- b)(S - c)
Where S = (a + b + c)/2
X=h over f-g move all terms to the left side and set equal to zero then set each factor equal to zero
Answer:
D.Z
u see how they have line in between as well, shows that they are going by 5 so 2.0 and then 2.5
and if it was asking for -2.5 which is negative two point five, you would choose A.U