Answer:
x = 20
Length = 20ft
Width = 12ft
Step-by-step explanation:
A = 240
x^2 - 8x = 240
x^2 - 8x - 240 = 0
x^2 - 20x + 12x - 240 = 0
x(x-20) + 12(x-20) = 0
(x+12)(x-20) = 0
x = 20
x = -12 (which we discard since x is a length)
So the dimensions are 20ft and 20-8 = 12ft
Answer:
Step-by-step explanation:
You are to make 5 assemblies.
Each assembly requires the use of 1 Type A bolt.
To make the 5 assemblies, you need 5 Type A bolts.
The container of bolts has a total of 60 bolts.
The focus - Type A bolts - is 20 out of this 60.
The probability of obtaining a Type A bolt at all, is 20/60, which is = 1/3
(A) What is the probability of taking the exact number of Type A bolts you need for your 5 assemblies, if you randomly take 10 bolts from the container?
- The exact number of Type A bolts you need for the 5 assemblies is 5
1/3 × 5/10 = 5/30 = 1/6 = 0.167
(B) What is the probability of taking/having less than 5 Type A bolts out of the randomly selected 10 bolts? The solution is to sum up the following:
1/3 × 4/10 = 0.133
1/3 × 3/10 = 0.1
1/3 × 2/10 = 0.067
1/3 × 1/10 = 0.033
1/3 × 0/10 = 0
TOTAL = 0.333
Answer:
42 acres to 72 acres, there is an increase of 30 acres
percentage wise
72-42=30
30/72=.4166...
therefore there is also a 41.6% increase
Step-by-step explanation:
71.42 Percentage change:×100%
Now, the change is given from 42 acres to 72 acres, therefore
Change= 72-42=30
⇒Percentage change= ×100%
= 71.42
Answer:
x = 4
Step-by-step explanation:
<C = <A
25° = 8x - 7
32 = 8x
x = 4
What percent is 88 of 106?
88/106
88 ÷ 106 ≈ .83
.83 × 100 = 83
83%
83% is 88 of 106.
