The answer would be 64
All of the numbers have a pattern of being added by something and each time it gets added it goes up by 8, so the answer is 64 (trust me haha I just don’t know how to put my logic into words that anyone would understand lol)
A straight path that extends is a line
Answer
5-n
Step-by-step explanation:
Step-by-step explanation:
Y=
![y = 10 - 8x \\ put \: this \: in \: the \: second \: equation \\ 2(10 - 8x) - 4x = 40 \\ 20 - 16x - 4x = 40 \\ 20 - 20x = 40 \\ - 20 = 20x \\ x = - 1 \\ put \: the \: value \: of \: x \: in \: th \: first \: equation \\ y = 10 - 8( - 1) \\ y = 10 + 8 \\ y = 18](https://tex.z-dn.net/?f=y%20%3D%2010%20-%208x%20%5C%5C%20put%20%5C%3A%20this%20%5C%3A%20in%20%5C%3A%20the%20%5C%3A%20second%20%5C%3A%20equation%20%5C%5C%202%2810%20-%208x%29%20-%204x%20%3D%2040%20%5C%5C%2020%20-%2016x%20-%204x%20%3D%2040%20%5C%5C%2020%20-%2020x%20%3D%2040%20%5C%5C%20%20-%2020%20%3D%2020x%20%5C%5C%20x%20%3D%20%20-%201%20%5C%5C%20put%20%5C%3A%20the%20%5C%3A%20value%20%5C%3A%20of%20%5C%3A%20x%20%5C%3A%20in%20%5C%3A%20th%20%5C%3A%20first%20%5C%3A%20equation%20%5C%5C%20y%20%3D%2010%20-%208%28%20-%201%29%20%5C%5C%20y%20%3D%2010%20%2B%208%20%5C%5C%20y%20%3D%2018)
Hence, x=-1 and y=18
Answer:
The probability that 5 chosen bagels of which exactly 3 are Asiago cheese = 0.3087 or 30.87%
Step-by-step explanation:
Given:
Total bagels brought to school = 10
Number of Asiago cheese bagels = 7
To find the probability of randomly choosing 5 Asiago cheese bagels of which exactly 3 are Asiago cheese.
Solution:
Let probability of choosing an Asiago cheese bagel be the successful event.
Probability of choosing one Asiago cheese bagels = ![\frac{7}{10}=0.7](https://tex.z-dn.net/?f=%5Cfrac%7B7%7D%7B10%7D%3D0.7)
Probability of success = 0.7
Probability of failure ( not choosing an Asiago cheese bagel) = 1 - Probability of success = ![1-0.7=0.3](https://tex.z-dn.net/?f=1-0.7%3D0.3)
Using Bernoulli Trials
To calculate the binomial probability of obtaining exactly
events in
trials the formula used is:
⇒ ![nCr.p^r.q^{(n-r)}](https://tex.z-dn.net/?f=nCr.p%5Er.q%5E%7B%28n-r%29%7D)
where
Probability of success
Probability of failure
Thus, probability of randomly choosing 5 Asiago cheese bagels of which exactly 3 are Asiago cheese can be calculated as :
⇒ ![5C3(0.7)^3(0.3)^2](https://tex.z-dn.net/?f=5C3%280.7%29%5E3%280.3%29%5E2)
⇒ ![\frac{5!}{(5-3)!3!}(0.343)(0.09)](https://tex.z-dn.net/?f=%5Cfrac%7B5%21%7D%7B%285-3%29%213%21%7D%280.343%29%280.09%29)
⇒ ![\frac{5!}{(2)!3!}(0.343)(0.09)](https://tex.z-dn.net/?f=%5Cfrac%7B5%21%7D%7B%282%29%213%21%7D%280.343%29%280.09%29)
⇒ ![10(0.343)(0.09)](https://tex.z-dn.net/?f=10%280.343%29%280.09%29)
⇒
(Answer)