The volume of the original prism is given by:
V1 = (1/2) * (b) * (h) * (H)
Where,
b: base of the triangle
h: height of the triangle
H: prism height
The volume of the prism with new dimensions is:
V2 = (1/2) * (3b) * (3h) * (3H)
Rewriting:
V2 = (3 * 3 * 3) * (1/2) * (b) * (h) * (H)
V2 = (27) * (1/2) * (b) * (h) * (H)
V2 = (27) * V1
Answer:
The relationship between the volumes of the two prisms is:
V2 = (27) * V1
Answer:
A) 2
B) 3
C) -2
D) -1
Step-by-step explanation:
All you need to do is trace the given X value to the graph of the function after 'o' in (fog) or (gof). This is the same as finding the value of f(x) or g(x). After finding the value, make that value your x and trace to the new value on the other graph
a) Tracing -1 to y = f(X) gives y= 3. Tracing x =3 to g(x) gives 2
Step-by-step explanation:
1. P(light OR domestic) = P(light) + P(domestic) − P(light AND domestic)
P(light OR domestic) = 0.62 + 0.70 − 0.55
P(light OR domestic) = 0.77
2. P(light AND not domestic) = P(light) − P(light AND domestic)
P(light AND not domestic) = 0.62 − 0.55
P(light AND not domestic) = 0.07
3. P(light GIVEN not domestic) = P(light AND not domestic) / P(not domestic)
P(light GIVEN not domestic) = 0.07 / (1 − 0.70)
P(light GIVEN not domestic) = 0.233
4. Two events are independent if P(A) × P(B) = P(A and B).
P(light) × P(domestic) = 0.62 × 0.70 = 0.434
P(light AND domestic) = 0.55
Therefore, the type and location are not independent.
<u>ANSWER:</u>
Kari bought 3 boxes of cookies to share. The algebraic expression is 
<u>Solution:</u>
Given, Kari bought 3 boxes of cookies to share with a book club.
Each box contains 12 cookies.
So, in total we have 3 x 12 cookies = 36 cookies.
Now, we have to find how many cookies can each person p will get.
Let, the total number of persons be x.
Then, after equally sharing the cookies,
Hence, the algebraic expression is
