Answer:
![\frac{1}{2} \: > \: \frac{7}{15}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%20%20%5C%3A%20%20%3E%20%20%5C%3A%20%20%5Cfrac%7B7%7D%7B15%7D%20)
Step-by-step explanation:
We want to determine which of the following fractions is bigger.
The fractions are:
![\frac{1}{2} \: and \: \frac{7}{15}](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B2%7D%20%20%5C%3A%20and%20%5C%3A%20%20%5Cfrac%7B7%7D%7B15%7D%20)
We collect LCM to get;
![\frac{15}{30} \: and \: \frac{14}{30}](https://tex.z-dn.net/?f=%20%5Cfrac%7B15%7D%7B30%7D%20%20%5C%3A%20and%20%5C%3A%20%20%5Cfrac%7B14%7D%7B30%7D%20)
Now that the denominators are the same we can easily compare.
![\frac{15}{30} \: > \: \frac{14}{30}](https://tex.z-dn.net/?f=%20%5Cfrac%7B15%7D%7B30%7D%20%20%5C%3A%20%20%3E%20%5C%3A%20%20%5Cfrac%7B14%7D%7B30%7D%20)
This means that:
![\frac{1}{2} \: > \: \frac{7}{15}](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B2%7D%20%20%5C%3A%20%20%3E%20%20%5C%3A%20%20%5Cfrac%7B7%7D%7B15%7D%20)
Answer: <u>0.4032</u>
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solution:-
given that p = 0.30 , n = 17
p(x > 5) = 1 - p(x ≤ 5)
= 1 - (p(x = 5) + p(x = 4)+ p(x = 3)+ + p(x = 2)+ p(x = 1)+ p(x = 0))
= 1 - (0.2081+0.1868+0.1245+0.0581+0.0169+0.0023)
= 1 - 0.5968
= 0.4032
Answer:
![f(x - 4) = x^2 - 6x+ 8](https://tex.z-dn.net/?f=f%28x%20-%204%29%20%3D%20x%5E2%20-%206x%2B%208)
Step-by-step explanation:
Given
![f(x) = x^2 + 2x](https://tex.z-dn.net/?f=f%28x%29%20%3D%20x%5E2%20%2B%202x)
Required
Find f(x - 4)
Substitute x - 4 for x
![f(x - 4) = (x- 4)^2 + 2(x - 4)](https://tex.z-dn.net/?f=f%28x%20-%204%29%20%3D%20%28x-%204%29%5E2%20%2B%202%28x%20-%204%29)
Expand
![f(x - 4) = x^2 - 8x + 16 + 2x - 8](https://tex.z-dn.net/?f=f%28x%20-%204%29%20%3D%20x%5E2%20-%208x%20%2B%2016%20%2B%202x%20-%208)
Collect like terms
![f(x - 4) = x^2 - 8x + 2x+ 16 - 8](https://tex.z-dn.net/?f=f%28x%20-%204%29%20%3D%20x%5E2%20-%208x%20%2B%202x%2B%2016%20%20-%208)
![f(x - 4) = x^2 - 6x+ 8](https://tex.z-dn.net/?f=f%28x%20-%204%29%20%3D%20x%5E2%20-%206x%2B%208)
X^2 + 3x + 3 = <span>x^2 + x + 2
2x = -1
x = -1/2
</span><span>y = (-1/2)^2 + (-1/2) + 2
y = 1/4 - 2/4 + 8/4
y = 7/4
answer
</span><span>solution of this system (-1/2 , 7/4)</span>