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:
P=300cm
Step-by-step explanation:
P=4a=4.75×4=300cm
This is very simple math let me show you:
Add similar elements:
6y + 3y = 9y
Your Answer Is 9y
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The projectile has constant horizontal speed all the time and we can use this formula
x=Vax*t, where t is time it (projectile) takes to reach x=1000m
t=x/Vax=1000/50=20s
As we know we can split projectile trajectory in two parts and the time for each part is equal. We can conclude that time t=20s belong to first part where projectile is going up.
Formula for this type of movement is y=Vay-(gt∧2)/2
If we take acceleration of gravity g=10m/s∧2
we get y=200*20-(10*20∧2)/2=4000-2000=2000m
But if I calculate time it takes the highest point I get
t=Vay/g=200/10=20s
The highest point for that time is
y= H=Vay∧2/2g=200∧2/2*10=40000/20=2000m
This happened because the projecile is fired from the edge of a cliff which is above the sea line.
Good luck!!!