Step-by-step explanation:
The point-slope form of an equation of a line:
m - slope
We ahve the slope m = 1/2 and the point (-2, 1). Substitute:
- point-slope form
Covert to the slope-intercept form (y = mx + b):
<em>use the distributive property</em>
<em>add 1 to both sides</em>
- slope-intercept form
Convert to the standard form (Ax + By = C):
<em>multiply both sides by 2</em>
<em>subtract x from both sides</em>
<em>change the signs</em>
- standard form
Convert to the general form (Ax+By+C=0):
<em>add 4 to both sides</em>
- general form
Answer: 2.5 lbs
Step-by-step explanation: Divide 40 by 16 to get the weight she needs.
Answer: A
Step-by-step explanation: when Constructing a confidence interval, it is important to take note of the margin of error which is given by the formulae below
Margin of error = critical value × σ/√n.
Where n is the sample size.
As we can see that the critical value is a constant and the population standard deviation.
Hence there is an inverse relationship between margin of error and sample size, which implies that a large sample size produces a small margin of error.
If the margin of error is small, it means the sample size will increase the like hood that the sample is a good representation of the population.
1. x=6z+13/5
2. y= -2z-16/3
3. z= 6x/7+y/7+9/7
Explanations
1 Add 4x to both sides
5x=6z+13
Divide 5 by both sides
x=6z+13/5
2 Add 4z to both sides
-6y=32+4z
Divide 6 by both sides
-6y/-6 = 32/-6 + 4z/-6
Simplify
y=-2(z+8)/3 of y= -2z-16/3
3. Subtract 6x+y from both sides
-7z=-9-6x-y
Divide 7 by both sides
-7z/-7 = -9/-7 - 6x/-7 -y/-7
Simplify
z=6x/7+y/7+9/7
