Add the numbers.
Combine multiplied terms into a single fraction.
Distribute.
Answer:
5x + 45/2 over 6
i think.
Answer:
30 gallons
Step-by-step explanation:
Let c represent the capacity of the container in gallons.
2/5c +8 = 2/3c . . . . adding 8 gallons to 2/5 full gives 2/3 full
8 = (2/3-2/5)c = 4/15c . . . . subtract 2/5c
8(15/4) = c = 30 . . . . . . . . . multiply by 15/4
The container can hold 30 gallons.
Probability of success (showing up) = 1-0.05=0.95 is constant and known.
Trials are Bernoulli (show or no show).
Trials are independent and random (assumed from context)
Number of trials is known, n=160.
All being satisfied, we can then model with binomial distribution, where
P(x)=C(n,x)p^x*(1-p)^(n-x)
where C(n,x)=n!/(x!(n-x)!)
Here we look for
P(X<=155)=P(X=0)+P(X=1)+P(X=2)+...+P(X=155)
=0.9061461 (using technology, or add up 156 values calculated, or read from binomial distribution table).
Alternatively, the normal approximation can be used, when n is large.
mean=np=160*0.95=152
standard deviation=sqrt(np(1-p))=2.75681
Apply continuity correction, x=155.5
Z=(155.5-152)/2.75681=1.26958
P(z<=Z)=0.89788 (read from normal distribution tables)
Error=(0.89788-0.9061461)*100%=-0.83%
The approximation is considered good considering p=0.95 is quite skewed, but compensated by n>>50.
Answer:
please provide the image! would love to help.
Step-by-step explanation:
Answer: sorry I don’t understand the question
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