Calories: 25,50,75,100
Servings: 1/3, 1/2, 1, 4/3
Answer:
84 in²
Step-by-step explanation:
The side lengths of the triangle are 3 consecutive integers whose sum (the perimeter) is 42. The average of those integers, 42/3 = 14, is the middle of the three, so they are 13, 14, 15. We're told the perimeter is in inches, so all of these dimensions are inches.
These are the last three of 4 consecutive integers, so the first, the height of the triangle, is 12. The base of the triangle is the 3rd of the four integers, so is 14. Then the area is ...
A = (1/2)bh = (1/2)(14)(12) = 84 . . . . . square inches.
Answer: a correct me if I’m wrong
Step-by-step explanation:
Answer:
DC
Step-by-step explanation:
ABCDE ≅ GHJDF
GH ≈ AB
DJ ≈ DC
Answer with Step-by-step explanation:
We are given that
Total dogs=24
Total cats=18
Total animals=24+18=42
Male dogs=8
Male cats=6
Total male animals=8+6=14
Total female animals=42-14=28
Female cats=18-6=12
Dogs female=24-8=16
a.We have to find the probability that the pet is male, given that it is cat.
It means we have to find P(Male/cat)
Conditional probability: ![P(A/B)=\frac{P(A\cap B)}{P(B)}](https://tex.z-dn.net/?f=P%28A%2FB%29%3D%5Cfrac%7BP%28A%5Ccap%20B%29%7D%7BP%28B%29%7D)
P(Cat)=![\frac{18}{42}](https://tex.z-dn.net/?f=%5Cfrac%7B18%7D%7B42%7D)
![P(male cat)=\frac{6}{42}](https://tex.z-dn.net/?f=P%28male%20cat%29%3D%5Cfrac%7B6%7D%7B42%7D)
![P(Male/cat)=\frac{\frac{6}{42}}{\frac{18}{42}}](https://tex.z-dn.net/?f=P%28Male%2Fcat%29%3D%5Cfrac%7B%5Cfrac%7B6%7D%7B42%7D%7D%7B%5Cfrac%7B18%7D%7B42%7D%7D)
P(male/cat)=![\frac{6}{18}=0.33](https://tex.z-dn.net/?f=%5Cfrac%7B6%7D%7B18%7D%3D0.33)
b.![P(female cat)=\frac{12}{42}](https://tex.z-dn.net/?f=P%28female%20cat%29%3D%5Cfrac%7B12%7D%7B42%7D)
![P(female)=\frac{28}{42}](https://tex.z-dn.net/?f=P%28female%29%3D%5Cfrac%7B28%7D%7B42%7D)
![P(Cat/Female)=\frac{\frac{12}{42}}{\frac{28}{42}}=\frac{12}{28}=0.43](https://tex.z-dn.net/?f=P%28Cat%2FFemale%29%3D%5Cfrac%7B%5Cfrac%7B12%7D%7B42%7D%7D%7B%5Cfrac%7B28%7D%7B42%7D%7D%3D%5Cfrac%7B12%7D%7B28%7D%3D0.43)
c.P(Dog)=![\frac{24}{42}](https://tex.z-dn.net/?f=%5Cfrac%7B24%7D%7B42%7D)
![P(dog female)=\frac{16}{42}](https://tex.z-dn.net/?f=P%28dog%20female%29%3D%5Cfrac%7B16%7D%7B42%7D)
![P(female/dog)=\frac{\frac{16}{42}}{\frac{24}{42}}](https://tex.z-dn.net/?f=P%28female%2Fdog%29%3D%5Cfrac%7B%5Cfrac%7B16%7D%7B42%7D%7D%7B%5Cfrac%7B24%7D%7B42%7D%7D)
![P(female/dog)=\frac{16}{24}=0.67](https://tex.z-dn.net/?f=P%28female%2Fdog%29%3D%5Cfrac%7B16%7D%7B24%7D%3D0.67)