Complete question :
A study was done to investigate the population of bald eagle breeding pairs over time. The correlating regression model is shown
below, wiere x represents the number of years after 1986, and y represents the number of bald eagle breeding pairs. Interpret the y-
intercept
y = 1.772 +334x
Answer:
B. There were approximately 1.772 eagle breeding pairs in 1986
Step-by-step explanation:
Given the regression equation : y = 1.772 +334x
Recall the general form of a linear regression equation :
y = mx + c
y = predicted variable ; x = predictor Variable ; c = intercept ; m = slope
x = number of years after 1986 ; y = number of bald eagle pairs.
The intercept is a constant value at time t = 0
For x to be 0, on a graph, this this the value on the y axis where the regression line crosses the y - axis. That is in 1986; the number of y when in 1986 when x = 0 is 1.772
Answer:
1. This means that the actual park size is 50 times larger than the size of the park on the map.
2. If a pathway is 7 inches long on the map, it will be 50 times larger in real life;
= 7 * 50
= 350 inches
3. 1 foot is 12 inches so 350 inches will be;
= 350/12
= 29.2 feet
4. The real life length of the car is;
= 5 * 67
= 335 inches
5. The real life length in feet is;
= 335/12
= 27.9 feet
6. Speed = Distance / time
The time should be converted to hours;
= 10/60 minutes
= 1/6
Speed = 9 / (1/6)
= 54 miles per hour
= 54 mph
Answer:
65º
Step-by-step explanation:
- The angle of a straight line is 180º, so ∠ABD=180º and ∠ABC=(180-6x)º
- The sum of the interior angles of a triangle is 180, so (x+40)º+(3x+10)º+(180-6x)º=180
- We can solve from there, x+40+3x+10+180-6x=180
- Combine like terms, -2x+230=180
- Subtract 230, -2x=-50
- Divide by -2, x=25
- m∠CAB=(x+40)º=(25+40)º=65º
- m∠ABC=(180-6x)º=(180-150)º=30º
- m∠BCA=(3x+10)º=(75+10)º=85º
The linear equation is y = 4x - 4
And the graph of the linear equation can be seen in the image below.
<h3>
How to graph the last line?</h3>
It seems that you already are good at graphing, so I will try to explain how to find the equation more in detail.
Remember that a general linear equation is written as:
y = a*x + b
Where a is the slope and b is the y-intercept.
In this case, we know that the y-intercept is -4, then b = -4, replacing that we get:
y = a*x - 4
Now we also can see that this line passes through the point (2, 4), this means that if we evaluate in x = 2, the outcome should be y = 4, replacing that we get:
4 = a*2 - 4
4 + 4 = a*2
8 = a*2
8/2 = a = 4
Then the slope is 4, and the linear equation is:
y = 4x - 4
The graph is below.
If you want to learn more about linear functions:
brainly.com/question/4025726
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