<u>Answer-</u>
<em>The probability that a randomly selected recipe does not contain sugar, given that it contains salt is 22.4%</em>
<u>Solution-</u>
The given table in the link shows the relative frequencies of recipes that contains sugar and salt, or contains at least one of those ingredients, or contains neither of those ingredients.
We have to find the conditional probability that the recipe doesn't contain sugar, given that it contains salt.
We know that, the conditional probability of occurrence of A given that B occurs is,
![P(A|B)=\frac{P(A\ and\ B)}{P(B)} =\frac{P(A\bigcap B)}{P(B)}](https://tex.z-dn.net/?f=P%28A%7CB%29%3D%5Cfrac%7BP%28A%5C%20and%5C%20B%29%7D%7BP%28B%29%7D%20%3D%5Cfrac%7BP%28A%5Cbigcap%20B%29%7D%7BP%28B%29%7D)
![P(\text{Doesn't contain sugar}\ |\ \text{Contains salt})=\frac{P(\text{Doesn't contain sugar}\ and\ \text{Contains salt})}{P(\text{Contains salt})}](https://tex.z-dn.net/?f=P%28%5Ctext%7BDoesn%27t%20contain%20sugar%7D%5C%20%7C%5C%20%5Ctext%7BContains%20salt%7D%29%3D%5Cfrac%7BP%28%5Ctext%7BDoesn%27t%20contain%20sugar%7D%5C%20and%5C%20%5Ctext%7BContains%20salt%7D%29%7D%7BP%28%5Ctext%7BContains%20salt%7D%29%7D)
![P(\text{Doesn't contain sugar}\ and\ \text{Contains salt})=\frac{0.15}{1} =0.15\\P(\text{Contains salt})=\frac{0.67}{1}=0.67](https://tex.z-dn.net/?f=P%28%5Ctext%7BDoesn%27t%20contain%20sugar%7D%5C%20and%5C%20%5Ctext%7BContains%20salt%7D%29%3D%5Cfrac%7B0.15%7D%7B1%7D%20%3D0.15%5C%5CP%28%5Ctext%7BContains%20salt%7D%29%3D%5Cfrac%7B0.67%7D%7B1%7D%3D0.67)
Putting these values,
![P(\text{Doesn't contain sugar}\ |\ \text{Contains salt})=\frac{0.15}{0.67} =0.224=22.4\%](https://tex.z-dn.net/?f=P%28%5Ctext%7BDoesn%27t%20contain%20sugar%7D%5C%20%7C%5C%20%5Ctext%7BContains%20salt%7D%29%3D%5Cfrac%7B0.15%7D%7B0.67%7D%20%3D0.224%3D22.4%5C%25)
2x+y-3=0,x-2y=1 okay that's the answer good luck
X=24
Work: x-10=14 x=14+10
Hello!
To convert degrees to radians you multiply it by
![\frac{ \pi }{180}](https://tex.z-dn.net/?f=%20%5Cfrac%7B%20%5Cpi%20%7D%7B180%7D%20)
. We will do so below.
75(
![\frac{ \pi }{180}](https://tex.z-dn.net/?f=%20%5Cfrac%7B%20%5Cpi%20%7D%7B180%7D%20)
)≈1.31
Therefore, the correct answer is
A.1.31 radians.
I hope this helps!