The ratio of cows to chickens on Tweedy's Farm is 2:7. Which farms have a greater ratio of cows to chickens than Tweedy's Farm?
2 answers:
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Answer:
The area of the shaded figure is:
- <u>20 units^2</u>
Step-by-step explanation:
To obtain the area of the shaded figure, first, you must calculate this as a rectangle, with the measurements: wide (4 units), and long (6 units):
- Area of a rectangle = long * wide
- Area of a rectangle = 6 * 4
- Area of a rectangle = 24 units^2
How the figure isn't a rectangle, you must subtract the triangle on the top, so, now we calculate the area of that triangle with measurements: wide (4 units), and height (2 units):
- Area of a triangle =
- Area of a triangle =
- Area of a triangle =
- Area of a triangle = 4 units^2
In the end, you subtract the area of the triangle to the area of the rectangle, to obtain the area of the shaded figure:
- Area of the shaded figure = Area of the rectangle - Area of the triangle
- Area of the shaded figure = 24 units^2 - 4 units^2
- <u>Area of the shaded figure = 20 units^2</u>
I use the name "units" because the exercise doesn't say if they are feet, inches, or another, but you can replace this in case you need it.
Answer:
37.21% probability that the person is a statistician.
Step-by-step explanation:
We have these following probabilities:
An 80% probability that a statistican is shy.
A 15% probability that an economist is shy.
At the gathering, a 90% probability that a person is an economist.
At the gathering, a 10% probability that a person is a statistican.
If you meet a shy person at random at the gathering. What is the probability that the person is a statistician?
This can be formulated as the following question:
What is the probability of B happening, knowing that A has happened.
It can be calculated by the following formula
Where P(B) is the probability of B happening, P(A/B) is the probability of A happening knowing that B happened and P(A) is the probability of A happening.
So
What is the probability that the person is a statistican, given that he is shy?
P(B) is the probability of the person being a statistican. So P(B) = 0.1.
P(A/B) is the probability of a statistican being shy, so P(A/B) = 0.8.
P(A) is the probability of a person being a shy. This is 15% of 90%(economists) and 80% of 10%(statisticans). So
Finally
37.21% probability that the person is a statistician.