Convert to an equation y in terms of x:
Y = (-2.4x + 48)/1.6
X Intercept is where y = 0
0 = -2.4x/1.6 + 48/1.6
X = 20
Y intercept is where x = 0
Y = (-2.4*0)/1.6 + 48/1.6
Y = 30
X and y are how coats and pants are made respectfully so the x intercept is where y = 0, meaning no pants are made, only jackets. The y intercept is the opposite, it’s how many pants can be made if no jackets are made.
Answer:
Amount of empty space in the cylinder = 395.64 cm³
Step-by-step explanation:
Since the cylinder contains 3 tennis balls each measuring 6 cm in diameter, we can say that the diameter of the cylinder is 6 cm because the balls are on top of each other. Since we have 18 cm is the height of the cylinder,then;
Formula for volume of a cylinder is;
V = πr²h
We are to use π = 3.14
Thus, V_cylinder = 3.14 × (6/2)² × 18
V_cylinder = 508.68 cm³
Volume of a tennis ball is;
V_tennis ball = (4/3)πr³
V_tennis ball = (4/3) × 3.14 × (6/2)³
V_tennis ball = 37.68 cm³
Thus, volume of 3 tennis balls = 3 × 37.68 = 113.04 cm³
Amount of empty space in the cylinder = V_cylinder - V_3 tennnis ball = 508.68 - 113.04 = 395.64 cm³
Please limit your posts to one or two problems each. Your demands ("show work," "answer quickly," "give a full response") should apply to YOU, not to people whom you hope will do your work for you.
<span>2. A pool company is trying out several new drains. Drain A empties a pool at a rate of 2 gal/min. Drain B empties a pool at a rate of 5 gal/min. One pool has 108 gal of water in it. Write an equation for each drain that shows the amount of time it takes to empty the pool. Then solve each equation showing your work.</span>
Drain A: rate is 2 gal/min. We do not know which pool has 108 gallons of water in it. If it's Pool A, then the time required to empty Pool A is
108 gallons
------------------- = 54 minutes
2 gallons/min
If it's Pool B, then we can represent the amount of water in Pool B by b. Then the time required to empty Pool B is
b (gallons)
------------------ = (b/5) minutes
5 gallons/min
Answer:
The confidence interval of standard deviation is: 
to 
Step-by-step explanation:
Given
See attachment for the formatted data
Solving (a): The mean
This is calculated as:
So, we have:
Solving (b): The standard deviation
This is calculated as:
--- approximated
Solving (c): 95% confidence interval of standard deviation
We have:
So:
Calculate the degree of freedom (df)
Determine the critical value at row and columns 
and 
So, we have:
---- at
--- at
So, the confidence interval of the standard deviation is:
to 
to 
to 
to
