Take two points
Slope
Parallel lines so slopes are equal
Only y intercept will vary
So both lines have y intercept at -3 and -1 respectively
The equations
Put (0,0) on first one
On second one
So as lines are dashed symbols remain >
The inequalities are
108 divided by 12 is 9 Maexus needs Nine Feet Of Wood
Answer:
0.38% probability that the sample contains exactly two defective parts.
Step-by-step explanation:
For each part, there are only two possible outcomes. Either it is defective, or it is not. The probabilities for each part being defective are independent from each other. So we use the binomial probability distribution to solve this problem.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
![P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}](https://tex.z-dn.net/?f=P%28X%20%3D%20x%29%20%3D%20C_%7Bn%2Cx%7D.p%5E%7Bx%7D.%281-p%29%5E%7Bn-x%7D)
In which
is the number of different combinations of x objects from a set of n elements, given by the following formula.
![C_{n,x} = \frac{n!}{x!(n-x)!}](https://tex.z-dn.net/?f=C_%7Bn%2Cx%7D%20%3D%20%5Cfrac%7Bn%21%7D%7Bx%21%28n-x%29%21%7D)
And p is the probability of X happening.
In this problem we have that:
![n = 5, p = 0.02](https://tex.z-dn.net/?f=n%20%3D%205%2C%20p%20%3D%200.02)
What is the probability that the sample contains exactly two defective parts?
This is ![P(X = 2)](https://tex.z-dn.net/?f=P%28X%20%3D%202%29)
![P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}](https://tex.z-dn.net/?f=P%28X%20%3D%20x%29%20%3D%20C_%7Bn%2Cx%7D.p%5E%7Bx%7D.%281-p%29%5E%7Bn-x%7D)
![P(X = 2) = C_{5,2}.(0.02)^{2}.(0.98)^{3} = 0.0038](https://tex.z-dn.net/?f=P%28X%20%3D%202%29%20%3D%20C_%7B5%2C2%7D.%280.02%29%5E%7B2%7D.%280.98%29%5E%7B3%7D%20%3D%200.0038)
0.38% probability that the sample contains exactly two defective parts.
Answer:
D. 25%
Step-by-step explanation:
f(x) = 2 * (1.25)^x
This is in the form
y = a b^x
where b is 1 plus the growth rate
b = 1.25 = 1+growth rate
1.25 = 1 + growth rate
.25 = growth rate
25% = growth rate
Answer:
155555555556/100000000000
Step-by-step explanation:
To write 1.55555555556 as a fraction you have to write 1.55555555556 as numerator and put 1 as the denominator. Now you multiply numerator and denominator by 10 as long as you get in numerator the whole number.
1.55555555556 = 1.55555555556/1 = 15.5555555556/10 = 155.555555556/100 = 1555.55555556/1000 = 15555.5555556/10000 = 155555.555556/100000 = 1555555.55556/1000000 = 15555555.5556/10000000 = 155555555.556/100000000 = 1555555555.56/1000000000 = 15555555555.6/10000000000 = 155555555556/100000000000