Answer: 0.3413
Step-by-step explanation:
Given: an American household generates an average of 28 pounds of newspaper for garbage or recycling. Assume the standard deviation is 2 pounds.
Let
.
Let x be the random variable that denotes the amount of newspaper for garbage generated by each household each month.
If the data conforms to a normal distribution and a household is selected at random, the probability of its generating between 28 and 30 pounds per month is about

Hence, the required probability is 0.3413.
Using the Pythagorean theorem you would find X by taking the square root of the base squared (Y^2) subtracted from the hypotenuse squared ( 10^2 = 100)
The equation would be x = √100-y^2
The second answer is the correct one.
Answer:
<u>2772 in³</u>
Step-by-step explanation:
- Volume = πr²h
- V = 22/7 x 7 x 7 x 18
- V = 22 x 7 x 18
- V = 154 x 18
- V = <u>2772 in³</u>
Answer:
6 2/3
Hope this helps!
Step-by-step explanation:
Please mark brainliest if correct
(x, y ) → (- 1, 3 )
The solution to the system of equations is the point of intersection of the 2 lines
From the graph, that is (x, y ) → ( - 1, 3 )
We can confirm by solving algebraically
Since both equations express y in terms of x we can equate the right sides
- x + 2 = - 6x - 3 ( add 6x to both sides )
5x + 2 = - 3 ( subtract 2 from both sides )
5x = - 5 ( divide both sides by 5 )
x = - 1
substitute x = - 1 into either of the 2 equations for y-coordinate
y = - x + 2 = 1 + 2 = 3
solution is (x, y ) → (- 1, 3 )