Answer:
The surface area of the prism is 8/3ft²
Step-by-step explanation:
To calculate the surface area of the prism we have to use the following formula:
a = area
w = side = 2/3 ft
h = height = 2/3 ft
l = length = 2/3 ft
a = 2 * (w * h) + 2 * (w * l) + 2 * (h * l)
we replace the values that we know
v = 2 * (2/3 ft * 2/3 ft) + 2 * (2/3 ft * 2/3 ft) + 2 * (2/3 ft * 2/3 ft)
v = 2 * 4/9ft² + 2 * 4/9ft² + 2 * 4/9ft²
v = 8/9ft² + 8/9ft² + 8/9ft²
v = 24/9ft²
v = 8/3ft²
The surface area of the prism is 8/3ft²
Answer:
The number of comic books did they have in all = 56
Step-by-step explanation:
The ratio of comics with Susan : Abe = 3 : 5
Let us assume the common factor on this ratio = m
So, the number of comics Susan has = 3 m
The number of comics Abe has = 5 m
Also, given: Abe had 14 more comic books than Susan
So, the number of comics Abe had = 14 + 3 m
⇒ 5 m = 3 m + 14
or, 2 m = 14, or m = 7
So, the number of books Susan has = 3 m = 3 x 7 = 21 books
The number of books Abe has = 5 m = 5 x 7 = 35
So, the book they have in all = 21 + 35 = 56
Answer:
77.47%
Step-by-step explanation:
We have to use Bayes Theorem in solving this problem.
This theorem's formula is:
P(A | B) = 
Where the " | " means <u><em>"given that"</em></u>.
For our problem, using bayes theorem, we can write:
P(Student has lice | positive ) = 
- P(Positive) = 0.1692 + 0.0492 = 0.2184
- P (Student has Lice & Positive ) = 0.1692
So P(Student has lice | Positive ) = 
<span>q=1/2p+15
1/2p = q - 15
p = 2q - 30
hope it helps</span>
