volume of the box is 675 cubic inches
A machine produces open boxes using square sheets of plastic.
It is a square sheet so length and width are same
Lets assume length as x so width is also x
The machine cuts equal-sized squares measuring 3 inches on a side from each corner of the sheet.
After turning up the sides the height of the box becomes 3 inches
We know the volume of a box formula
Volume = Length * width * height
We know length is x , width is x and height = 3
So V = x * x * 3
Given volume = 675 cubic inches
Divide by 3 on both sides
Now we take square root on both sides
x = 15
the length of one side of the open box is 15 inches.
Answer:
y = 3/7x - 6
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
- Equality Properties
<u>Algebra I</u>
Slope-Intercept Form: y = mx + b
Step-by-step explanation:
<u>Step 1: Define</u>
Slope <em>m</em> = 3/7
Point (14, 0)
<u>Step 2: Find y-intercept </u><em><u>b</u></em>
- Substitute: 0 = 3/7(14) + b
- Multiply: 0 = 6 + b
- Isolate <em>b</em>: -6 = b
- Rewrite: b = -6
<u>Step 3: Write linear equation</u>
y = 3/7x - 6
Justin wants to paint his room. So he put together some
quotations from two different painters. The first painter's total charge was
based on the number of hours (denoted as x) worked was modeled as
f( x ) = 70 + 5 x, while that of the second painter was
g( x ) = 30 + 15 x. Justin knows that it will take more than 4
hours to decorate the house so he was certain to go with the first painter
whose cost is low-priced when the number of hours is above 4 hours.
Answer:
<em>98% of confidence intervals for the Population proportion of people who captured after appearing on the 10 most wanted list</em>
(0.3583 , 0.4579)
Step-by-step explanation:
<u>Explanation</u>:-
<em>Given sample size 'n' = 517</em>
Given data Suppose a sample of 517 suspected criminals is drawn. Of these people, 211 were captured.
'x' =211
<em>The sample proportion</em>
<em>98% of confidence intervals for the Population proportion of people who captured after appearing on the 10 most wanted list</em>
(0.4081-0.0498 , 0.4081 +0.0498)
(0.3583 , 0.4579)
<u><em>Conclusion</em></u>:-
<em>98% of confidence intervals for the Population proportion of people who captured after appearing on the 10 most wanted list</em>
(0.3583 , 0.4579)
