Out of a population of 1,500 students, 100 were asked by a random sampling to choose their favorite national park. Their respons
es are shown in the table below.
Using proportional reasoning, about how many students out of the 1,500 would you expect to pick Yosemite for their favorite national park?
____________ students
Using proportional reasoning, about how many students out of the 1,500 would you expect to pick Yosemite for their favorite national park?
____________ students
2 answers:
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Answer:
85 units^2 = Area of Blue Square
and
x = 5 units
Step-by-step explanation:
To do this we use the Pythagorean theorem (a^2 + b^2 = c^2). a and b represent the legs of the triangle whereas c represents the longest side of the triangle, or the hypotenuse.
Since we know the area of a square is the side length multiplied by itself (or the side length squared), is the side length of the pink square and
is the side length of the green square.
That means a = and b =
, so...
35 + 50 = c^2
85 = c^2
Now we need to square the square root of 85 to find the area of the blue square.
85 units^2 = Area of Blue Square
To solve the other question we use the same formula again.
x = 5 units
Answer:
Increasing:
Decreasing:
Step-by-step explanation:
So when an equation has and odd degree, it will go in the opposite direction on both ends, so if y went towards infinity as x went towards infinity, then y would go towards negative infinity as x goes towards negative infinity. In this case, by looking at the graph it has an odd degree, due to opposite end behaviors, although on both ends it's increasing because even though it appears that it's going down on the left side, that's only if you start from the right and go towards the left. So it's really increasing from negative infinity to -1, and then it decreases from -1 to 2, until it once again starts increasing from 2 to infinity. This can be represented as (-infinity, -1) U (2, infinity) for increasing and (-1, 2) as decreasing