Answer:
![P(\text{Pizza}\ |\ \text{Female})=0.225](https://tex.z-dn.net/?f=P%28%5Ctext%7BPizza%7D%5C%20%7C%5C%20%5Ctext%7BFemale%7D%29%3D0.225)
Step-by-step explanation:
The two-way frequency table is attached below.
We have to calculate the probability of, a person chosen at random prefers pizza given that they are female, i.e ![P(\text{Pizza}\ |\ \text{female})](https://tex.z-dn.net/?f=P%28%5Ctext%7BPizza%7D%5C%20%7C%5C%20%5Ctext%7Bfemale%7D%29)
This is a conditional probability.
We know that,
![P(A\ |\ B)=\dfrac{P(A\ \cap\ B)}{P(B)}](https://tex.z-dn.net/?f=P%28A%5C%20%7C%5C%20B%29%3D%5Cdfrac%7BP%28A%5C%20%5Ccap%5C%20B%29%7D%7BP%28B%29%7D)
So,
![P(\text{Pizza}\ |\ \text{Female})=\dfrac{P(\text{Pizza}\ \cap\ \text{Female)}}{P({\text{Female}})}](https://tex.z-dn.net/?f=P%28%5Ctext%7BPizza%7D%5C%20%7C%5C%20%5Ctext%7BFemale%7D%29%3D%5Cdfrac%7BP%28%5Ctext%7BPizza%7D%5C%20%5Ccap%5C%20%5Ctext%7BFemale%29%7D%7D%7BP%28%7B%5Ctext%7BFemale%7D%7D%29%7D)
From the table,
![P(\text{Pizza}\ \cap\ \text{Female)}=\dfrac{119}{1000}](https://tex.z-dn.net/?f=P%28%5Ctext%7BPizza%7D%5C%20%5Ccap%5C%20%5Ctext%7BFemale%29%7D%3D%5Cdfrac%7B119%7D%7B1000%7D)
![P({\text{Female}})=\dfrac{530}{1000}](https://tex.z-dn.net/?f=P%28%7B%5Ctext%7BFemale%7D%7D%29%3D%5Cdfrac%7B530%7D%7B1000%7D)
Putting the values,
![P(\text{Pizza}\ |\ \text{Female})=\dfrac{P(\text{Pizza}\ \cap\ \text{Female)}}{P({\text{Female}})}=\dfrac{\frac{119}{1000}}{\frac{530}{1000}}=0.225](https://tex.z-dn.net/?f=P%28%5Ctext%7BPizza%7D%5C%20%7C%5C%20%5Ctext%7BFemale%7D%29%3D%5Cdfrac%7BP%28%5Ctext%7BPizza%7D%5C%20%5Ccap%5C%20%5Ctext%7BFemale%29%7D%7D%7BP%28%7B%5Ctext%7BFemale%7D%7D%29%7D%3D%5Cdfrac%7B%5Cfrac%7B119%7D%7B1000%7D%7D%7B%5Cfrac%7B530%7D%7B1000%7D%7D%3D0.225)
Answer:
D, All of the above.
Step-by-step explanation:
(A. set fitness goals
B. track performance
C. spot areas for improvement)
mark brainliest ??
Answer:
T(2,4) S(3,2) U(1,1)
Step-by-step explanation:
Let the smallest integer be x
The second integer = x + 2
The third integer = x + 4
x + x + 2 = x + 4 + 24
2x + 2 = x + 28
2x - x = 28 - 2
x = 26
So the numbers are 26, 28, 30