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>
Answer:
y = x/2 - 7
Step-by-step explanation:
First, we need to find the slope of the given equation: x - 2y = 8
Subtract x from both sides
x - 2y = 8
- x - x
-2y = 8 - x
Divide both sides by -2
-2y/-2 = (8 - x)/-2
y = -4 + x/2
The slope of this equation is 1/2
So the equation of our parallel equation is y = x/2 + b
We have to find b, so plug in the given coordinates
-6 = 2/2 + b
-6 = 1 + b
Subtract 1 from both sides
-6 = 1 + b
- 1 - 1
b = -7
Plug it back into the original equation
y = x/2 - 7
Answer: 9 inches.
Do the pythagorean theorem to find your answer.
Formula: a^2 + b^2 = c2
12 = b
15 = c
a^2 + 12^2 = 15^2
Simplify the equation
a^2 + 144 = 225
Subtract 144 on both sides.
a^2 = 81
Square root of 81 is 9.
The sides are 11 each because the square root of 121 is 11. So, the permeter is 11 + 11 + 11 + 11 = 44 inches.
Hope this helped!
