Answer:
The equation of the line would be y = .5x + 2.5
Step-by-step explanation:
In order to find this, we must first find the slope of the equation.
m (slope) = (y2 - y1)/(x2 - x1)
m = (2 - 3)/(-1 - 1)
m = -1/-2
m = .5
Now that we have the slope, we can use either point in point-slope form to get the equation.
y - y1 = m(x - x1)
y - 3 = .5(x - 1)
y - 3 = .5x - .5
y = .5x + 2.5
Answer:
c.145.3 to 154.7.
Step-by-step explanation:
We have to find our level, that is the subtraction of 1 by the confidence interval divided by 2. So:
Now, we have to find z in the Z-table as such z has a p-value of .
That is z with a p-value of , so Z = 1.645.
Now, find the margin of error M as such
In which is the standard deviation of the population and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 150 - 4.7 = 145.3.
The upper end of the interval is the sample mean added to M. So it is 150 + 4.7 = 154.7.
Thus the correct answer is given by option c.
<h3>
Answer: -3/2</h3>
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Work Shown:
Rise = -3
Run = 2
Slope = rise/run = -3/2 = -1.5
----------------
Notes:
- The rise and run correspond to the vertical and horizontal portions of the triangle shown
- The rise is negative because we're going downhill when moving from left to right, so that also means the slope is negative.
- The run is always positive.
Pythagorean Theorem is: a² + b² = c²
If you want to solve for "c", then you need to square root both sides
= c
Given information:
Total animals = 13
Total legs = 40
Assumed all animals have their legs intact ...
Pig = 4 legs
Chicken = 2legs
Assumed all chickens:
Total legs = 2 x 13 = 26
Extra legs = 40 - 26 = 14
Extra legs belongs to the pig (each pig has extra 2 legs)
14 ÷ 2 = 7
There are 7 pigs
13 - 7 = 6
There are 6 chickens
---------- OR ALGEBRAICALLY --------
Let the number of pigs be x and number of chickens be y
pigs = x
chickens = y
x + y = 13 -------------- (1)
4x + 2y = 40 ---------- (2)
From (1):
x + y = 13
x = 13 - y -------------- sub into (2)
4(13 - y) + 2y = 40
52 - 4y + 2y = 40
52 - 2y = 40
2y = 52 - 40
2y = 12
y = 6 ----------- sub into (1)
x + 6 = 13
x = 13 - 6
x = 7
x = 7, y = 6
pigs = 7, chickens = 6