Answer: Wait a minute, Is the answer is 144 cubic centimetres?
Step-by-step explanation: So this is the given formula volumebox = width x length x height. Measure any two sides (length, width or height) of an object or surface in order to get a two-dimensional measurement, then multiply the width, length, and the height: 12*6*2=144 cm^3.
Answer: 1211.6585 years
<u>Step-by-step explanation:</u>
The equation for exponential growth is: 
- P: final population
- P₀: initial population
- k: rate of decay (or growth)
- t: time
Use the half life information to find k:
Next, input the information (65% decayed = 35% remaining) and the k-value to find your answer.
The question is incomplete! Complete question along with answer and step by step explanation is provided below.
Question:
The lifetime (in hours) of a 60-watt light bulb is a random variable that has a Normal distribution with σ = 30 hours. A random sample of 25 bulbs put on test produced a sample mean lifetime of = 1038 hours.
If in the study of the lifetime of 60-watt light bulbs it was desired to have a margin of error no larger than 6 hours with 99% confidence, how many randomly selected 60-watt light bulbs should be tested to achieve this result?
Given Information:
standard deviation = σ = 30 hours
confidence level = 99%
Margin of error = 6 hours
Required Information:
sample size = n = ?
Answer:
sample size = n ≈ 165
Step-by-step explanation:
We know that margin of error is given by
Margin of error = z*(σ/√n)
Where z is the corresponding confidence level score, σ is the standard deviation and n is the sample size
√n = z*σ/Margin of error
squaring both sides
n = (z*σ/Margin of error)²
For 99% confidence level the z-score is 2.576
n = (2.576*30/6)²
n = 164.73
since number of bulbs cannot be in fraction so rounding off yields
n ≈ 165
Therefore, a sample size of 165 bulbs is needed to ensure a margin of error not greater than 6 hours.
Answer: need point so HA!
Step-by-step explanation:
To evaluate two fractions being divided, you must turn the right fraction into a reciprocal. That means you must put the bottom number at the top and then put the top number on the bottom (you’re basically switching them).
8/13 / 3/2
Now, once you turned the other number into a reciprocal, you multiply across. The top number times the other top number and do this to the bottom numbers, too.
8/13 * 3/2 = 24/26
You found the answer, 24/26. But as you can see, it’s not one of the choices. That’s because you need to simplify.
24/26 / 2/2 = 12/13
12/13 is your answer, or choice C!
I hope this helped. Comment below if you have any questions.
