Answer:
No
Step-by-step explanation:
Answer:
9) Exact Form: 85
/24 Decimal Form: 3.541
6 Mixed Number Form: 3 13
/24
10) Exact Form: 17
/18 Decimal Form: 0.9 4
11) Exact Form:
3
/5 Decimal Form: 0.6
Step-by-step explanation:
9) Convert the mixed numbers to improper fractions, then find the LCD and combine.
10) Simplify the expression.
11) To subtract fractions, find the LCD and then combine.
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
For this problem you would look at the difference between the two equations. Left and right is determined by the -2 and the +5 in the problems, to get from -2 to +5, you would add 7 but (and i dont really know how to explain the reasoning for this) whenever this number is positive, it goes left and whenever it is negative, it goes right. Figuring out if it shifts up or down is the same, look at the numbers +1 and +9 in the equations. If you go from +1 to +9, you would be adding 8, and this makes it shift upward.
Therefore the answer is the third one: the graph shifts 7 units left and 8 units up
They must conform with Pythagoras theorem
It is set 4 because
(sqrt 2)^2 + (sqrt 7)^2 = 3^2
2 + 7 = 9
