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:
b = -152
Step-by-step explanation:
- 7 + 12 = 19
- Plug 19 in:
- Multiply each side by 19 to cancel out the 19 under b. It should now look like this: b = -152
I hope this helps!
Answer: 8.2 mm
Step-by-step explanation:

Answer:
The probability that exactly 10 insects will die
P( X = 10 ) = 0.06385
Step-by-step explanation:
<u><em>Step(i):-</em></u>
Given a certain insecticide kills 60% of all insects in laboratory experiments
Given proportion p = 0.60
q = 1 - 0.60 = 0.40
Given sample size 'n' = 12
<u><em>Step(ii):</em></u>-
Let "X' be the random variable of binomial distribution

The probability that exactly 10 insects will die



<u><em>Final answer:</em></u>-
The probability that exactly 10 insects will die
P( X = 10 ) = 0.06385
Answer: 19
Step 1: Divide.
940 ÷ 50 = 18.8
Step 2: Round 18.8 to the nearest one.
18.8 - 19
Answer to the question is 19.