Answer: A) .1587
Step-by-step explanation:
Given : The amount of soda a dispensing machine pours into a 12-ounce can of soda follows a normal distribution with a mean of 12.30 ounces and a standard deviation of 0.20 ounce.
i.e. 
and 
Let x denotes the amount of soda in any can.
Every can that has more than 12.50 ounces of soda poured into it must go through a special cleaning process before it can be sold.
Then, the probability that a randomly selected can will need to go through the mentioned process = probability that a randomly selected can has more than 12.50 ounces of soda poured into it =
![P(x>12.50)=1-P(x\leq12.50)\\\\=1-P(\dfrac{x-\mu}{\sigma}\leq\dfrac{12.50-12.30}{0.20})\\\\=1-P(z\leq1)\ \ [\because z=\dfrac{x-\mu}{\sigma}]\\\\=1-0.8413\ \ \ [\text{By z-table}]\\\\=0.1587](https://tex.z-dn.net/?f=P%28x%3E12.50%29%3D1-P%28x%5Cleq12.50%29%5C%5C%5C%5C%3D1-P%28%5Cdfrac%7Bx-%5Cmu%7D%7B%5Csigma%7D%5Cleq%5Cdfrac%7B12.50-12.30%7D%7B0.20%7D%29%5C%5C%5C%5C%3D1-P%28z%5Cleq1%29%5C%20%5C%20%5B%5Cbecause%20z%3D%5Cdfrac%7Bx-%5Cmu%7D%7B%5Csigma%7D%5D%5C%5C%5C%5C%3D1-0.8413%5C%20%5C%20%5C%20%5B%5Ctext%7BBy%20z-table%7D%5D%5C%5C%5C%5C%3D0.1587)
Hence, the required probability= A) 0.1587
The 1.Y-intercept indicates that the Masons were 2.400 mi <span>home when they begin driving.
I made a 100% on this test.</span>
Answer:
$169.65 is the total cost
Step-by-step explanation:
A= πr2= π·6(2)≈ 113.1
113.1 * 1.50 = 169.65
Answer:
To find the angle RST we have to first find SRT As the exterior angle adjoined with SRT =53°
so the SRT = Outer angle adjoined with angle SRT
angle SRT = 53° [°.° vertically opposite angles are equal]
Angle SRT + Angle STR + Angle RST = 180°
=>53° + 75° + Angle RST =180°
=> 128° + Angle RST = 180°
=> Angle RST =(180-128)°
= 52°
SO NO. <em><u>C</u></em> IS correct what Cate says is absolutely right
Answer:
use formula y2-y1/x2-x1
Step-by-step explanation:
=8-5/3-4
=3/-1
=-3
