Answer:
8 inches
Step-by-step explanation:
Volume of a cube: side length cubed
x^3=512
Taking the cubic root of both sides, we get
x=8
They are similar because they both are triangles. But they are not the same size.
Answer:
The probability that their mean life will be longer than 13 years = .9943 or 99.43%
Step-by-step explanation:
Given -
Mean
= 15 years
Standard deviation
= 3.7 years
Sample size ( n ) =22
Let
be the mean life of manufacturing items
the probability that their mean life will be longer than 13 years =
=

= 
=
Using Z table
= 1 - .0057
= .9943
Answer:
<em>X ball bearings will be made in 1 hour and 20 minutes</em>
Step-by-step explanation:
<u>Proportions
</u>
The proportions give us an important tool to easily solve common problems of any type. We know that:
Company ABC can make X ball bearings in 3 hours.
Company DEF can make X ball bearings in 4 hours.
Company GHI can make X ball bearings in 6 hours.
In one hour, each company can make
ABC: X/3 ball bearings
DEF: X/4 ball bearings
GHI: X/6 ball bearings
Working together, they can make
ball bearings. Operating
If they can make 3/4 of a ball bearing in one hour, then one complete ball bearing will need
hours to complete. It's equivalent to 1 1/3 hours or 1 hour and 20 minutes
X ball bearings will be made in 1 hour and 20 minutes