Let x = the width
then
2x = the length
:
The box dimensions: 2x by x by 4
Given the surface area:
2(2x*x) + 2(2x*4) + 2(x*4) = 220
:
4x^2 + 16x + 8x = 220
A quadratic equation:
4x^2 + 24x - 220 = 0
simplify, divide by 4
x^2 + 6x - 55 = 0
Factor
(x+11)(x-5) = 0
The positive solution is what we want here:
x = 5 ft is the width
then
2(5) = 10 ft is the length
:
Find the volume
10 * 5 * 4 = 200 cu/ft is the volume
Answer:
Answer:
The student council made more snow cones per hour than the parent volunteers.
Explanation:
To find the number of snow cones made per hour:
XXX
Divide the number of snow cones made
XXX
by the number of hours spent making snow cones.
Parent volunteers
XXX
Number of snow cones:
120
XXX
Number of hours spent making snow cones:
5
Number of snow cones per hour:
120
÷
5
=
24
Student council
XXX
Number of snow cones:
100
XXX
Number of hours spent making snow cones:
4
Number of snow cones per hour:
100
÷
4
=
25
Since the student council made
25
snow cones per hour and the parent volunteers only made
24
snow cones per hour:
the student council made more snow cones per hour.
Step-by-step explanation:
Answer: The probability that a randomly selected tire will have a tread-life of less than 65,000 miles is 0.7872 .
Step-by-step explanation:
The cumulative distribution function for exponential distribution is :-
, where
is the mean of the distribution.
As per given , we have
Average tread-life of a certain brand of tire : 
Now , the probability that a randomly selected tire will have a tread-life of less than 65,000 miles will be :

Hence , the probability that a randomly selected tire will have a tread-life of less than 65,000 miles is 0.7872 .
Answer:
january = 10/20 = 1/2
februry = 7/14 = 1/2
so, we conclude that the auto dealership didn't have a lower ratio, since the ratio is equal in both months.
<em>hope it helps :)</em>
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Given:
LMN is an equilateral triangle.
LM = LN = MN = 12 cm
To find:
The height of the triangle h.
Solution:
In a right angle triangle,



Multiply both sides by 12.


Therefore, the height of the triangle is
cm.