Answer:
3 3/4 cubic inches,
Step-by-step explanation:
Stephanie puts 30 cubes in a box. The cubes are 1/2 inch on each side. The box holds two layers with 15 cubes in each layer. What is the volume of the box awnsers 5cubic inches, 7 1/2 cubic inches,3 3/4 cubic inches, 15 cubic inches.
✓From the question we are informed that Stephanie puts 30 cubes in a box. The cubes dimension are 0.5 inch on each of the sides.
✓ Since the sides is 0.5inch each, the volume is (0.5×0.5×0.5) The volume of one cube = (0.5 inch)³ = 0.125 inch³
✓ we can calculate the Volume of 30 cubes as
[ 30 cubes in a box × 0.125 inch³]
= 3.75 inch³
✓ 3.75 inch³ can be converted into fraction as (3 3/4) inch³ which is the third Option.
John owes 15 dollars to Bill, then another 2 dollars to Joey. How much money does John have?
Since John has 0 dollars to give, he has (-15)+(-2) =-17 dollars (as 15+2=17, so the same can be applied negatively) as the first 17 dollars he gets has to be given to Bill and Joey
L= length= 1 1/2 yards
A= area= 3 1/2 yards^2
w= width
Area= length * width
plug in numbers you know
3 1/2= (1 1/2)(w)
convert to improper fractions
(3*2+1)/2= ((1*2+1)/2)(w)
7/2= 3/2w
divide both sides by 3/2
7/2 ÷ 3/2= w
to divide fractions, multiply by the reciprocal/inverse of 3/2
7/2 * 2/3= w
(7*2)/(2*3)= w
14/6= w
reduce by 2
7/3= width as improper fraction
OR
2 1/3= width as mixed fraction
ANSWER: The width should be 2 1/3 yards wide (or 7/3 yards wide).
Hope this helps! :)
We're told that
a. We want to find 
. By definition of conditional probability,
By the law of total probability,
Then
(the first equality is Bayes' theorem)
b. We want to find 
.
since 
.
The answer to your question is answer choice D
