Answer:
a) np > 5
d) nq > 5
Step-by-step explanation:
Binomial probability distributions depend on the number of trials n of a binomial experiment and the probability of success p on each trial.
A binomial distribution can be approximated with the help of normal distribution.
A binomial distribution has parameters:
![X \sim B(n,p)](https://tex.z-dn.net/?f=X%20%5Csim%20B%28n%2Cp%29)
where n is the number of independent trials and p is the probability of success.
If p is the probability of success, then we define probability of failure as:
![q = 1-p](https://tex.z-dn.net/?f=q%20%20%3D%201-p)
A normal distribution can be used to approximate the binomial distribution if
![np > 5\\nq = n(1-p) > 5](https://tex.z-dn.net/?f=np%20%3E%205%5C%5Cnq%20%3D%20n%281-p%29%20%3E%205)
Thus, the correct answer is
a) np > 5
d) nq > 5
-- A "mixed number" is (a whole number) plus (a fraction).
-- Two mixed numbers = (two whole numbers) and (two fractions).
-- The smallest whole number is ' 1', so when you add up all of that,
the smallest possible sum is (2) plus (two fractions).
-- So the sum must always be greater than 2 .
============================================
<em>THAT'S IF BOTH MIXED NUMBERS ARE POSITIVE </em>.
<em>If one of them is negative</em>, then it's easy to do:
(3 and 1/2) + negative (1 and 1/2) = <u>2</u>
(25 and 7/10) + negative (23 and 7/10) = <u>2</u>
Answer:
1. x<3
2. x<3
Step-by-step explanation:
2x-5<1
Move constant to the right side and change its sign
2x<1+5
Add the Numbers
2x<6
Divide both sides of the inequality by 2
x<3
3x+7<16
Move constant to the right side and change its sign
3x<16-7
Subtract the numbers
3x<9
Divide both sides of the inequality by 3
x<3
There will be 1000 combinations
10 salads x 10 main courses x 10 desserts = 1000 combinations