Answer:
![f = \frac{3}{7} n](https://tex.z-dn.net/?f=f%20%3D%20%20%5Cfrac%7B3%7D%7B7%7D%20n)
Step-by-step explanation:
y = 3 fruit trees
x = 7 nut trees
Constant of proportionality = k
k = y/x
k = 3/7
f = 3/7n
Answer:
The probability is ![P(X < 3) = 0.7843](https://tex.z-dn.net/?f=P%28X%20%3C%20%203%29%20%3D%20%200.7843%20)
Step-by-step explanation:
From the question we are told that
The low yield rate is ![q = 0.98](https://tex.z-dn.net/?f=q%20%3D%200.98)
The sample size n = 80
Hence the probability that the bottle is bad
![p = 1- q](https://tex.z-dn.net/?f=p%20%3D%201-%20q)
=> ![p = 1 - 0.98](https://tex.z-dn.net/?f=p%20%3D%201%20-%200.98)
=> ![p =0.02](https://tex.z-dn.net/?f=p%20%3D0.02)
Generally the distribution of yield follows a binomial distribution
i.e
and the probability distribution function for binomial distribution is
Here C stands for combination hence we are going to be making use of the combination function in our calculators
Generally the probability less than three bottles are bad is mathematically represented as
![P(X < 3) = P(X = 0 ) + P(X = 1 )+ P(X = 2)](https://tex.z-dn.net/?f=P%28X%20%3C%20%203%29%20%3D%20P%28X%20%3D%200%20%29%20%2B%20P%28X%20%3D%201%20%29%2B%20P%28X%20%3D%202%29)
=> ![P(X < 3) = ^{80}C_0 * 0.02^0 * (1- 0.02)^{80-0} +^{80}C_1 * 0.02^1 * (1- 0.02)^{80-1}+ ^{80}C_2 * 0.02^2 * (1- 0.02)^{80-2}](https://tex.z-dn.net/?f=P%28X%20%3C%20%203%29%20%3D%20%5E%7B80%7DC_0%20%2A%20%200.02%5E0%20%2A%20%20%281-%200.02%29%5E%7B80-0%7D%20%2B%5E%7B80%7DC_1%20%2A%20%200.02%5E1%20%2A%20%20%281-%200.02%29%5E%7B80-1%7D%2B%20%5E%7B80%7DC_2%20%2A%20%200.02%5E2%20%2A%20%20%281-%200.02%29%5E%7B80-2%7D)
=> ![P(X < 3) = 1 * 1 * 0.1986 + 80 * 0.02 * 0.2027 + 3160 * 0.0004 * 0,2068](https://tex.z-dn.net/?f=P%28X%20%3C%20%203%29%20%3D%201%20%2A%20%201%20%2A%200.1986%20%2B%2080%20%2A%20%200.02%20%2A%20%200.2027%20%2B%203160%20%2A%20%200.0004%20%2A%200%2C2068)
=> ![P(X < 3) = 0.7843](https://tex.z-dn.net/?f=P%28X%20%3C%20%203%29%20%3D%20%200.7843%20)
Answer:
40:15 simplified is, (i divided by 5) 8:3
Ratio is when you have a number to a number just put them together but put a colon between them to make it a ratio, thats all ;D. It's basically a fraction.
But you can also simplify ratios just like fractions because they are fractions!
Answer:13 hours
Step-by-step explanation: remember you are averaging so you add the two numbers and divide by the number of numbers, 2. So, 15+11=26, 16 divided by 2=13
The numbers would be 22 and 4