Answer:
Step-by-step explanation:
The equation of a line in the point-slope form:
We have:
Substitute:
Answer:
1) The probability that the mean mpg for a random sample of 25 light vehicles is 0.042341.
2) between 20 and 25 --> 21-25/2.9 = -1.38
Step-by-step explanation:
Problem #1:
- Using the z-score formula, z = (x-μ)/σ/n, where x is the raw score = 20 mpg,μ is the population mean = 21 mpg , σ is the population standard deviation = 2.9, n = random number of samples.
<h3><u>X < 20</u></h3>
- = z = 20 - 21/2.9/√25
- = z = -1/2.9/5
- = z = -1.72414
<h2><u><em>Now</em></u></h2>
<em>P-value from Z-Table:</em>
<h3><u>P(x<20) = 0.042341</u></h3>
Problem #2:
<h3>21-25/2.9 = -1.38</h3>
For this problem you would look at the difference between the two equations. Left and right is determined by the -2 and the +5 in the problems, to get from -2 to +5, you would add 7 but (and i dont really know how to explain the reasoning for this) whenever this number is positive, it goes left and whenever it is negative, it goes right. Figuring out if it shifts up or down is the same, look at the numbers +1 and +9 in the equations. If you go from +1 to +9, you would be adding 8, and this makes it shift upward.
Therefore the answer is the third one: the graph shifts 7 units left and 8 units up
The problem statement says "the graph is shown," but you haven't shared it. Please do that if possible. Thank you.
<span>Heather was asked to graph 2x + 4y = 12 by using slope and y-intercept.
We can quickly put this into slope-intercept form:
12 - 2x
Subtract 2x from both sides: 2x - 2x + 4y = 12 - 2x => y = ------------
4
In simplest form, this is y = 3 - (1/2)x, or (-1/2)x + 3. The slope is -1/2 and the y-intercept is (0,3).</span>