Answer:
The fraction is = 
Step-by-step explanation:
In simplest form the fraction is represented in mixed number as 
.
The fraction form of the mixed number can be given as :
Let the fraction be = 
[As multiplying same numbers to numerator and denominator does not affect the proportion.
Sum of numerator and denominator is = 30
This, can be represented as:
Solving for 
.
Dividing both sides by 10.
So, the fraction will be = 
⇒
Answer:
1. 142. 2. adjacent angles.
Step-by-step explanation:
1. because it is less then 180, that would be flat, and it is bigger then 132.
2. because they are adjacent to each other.
Answer: 40
Step-by-step explanation:
* Hopefully the work below helps:) Mark me the brainliest:)!!
<em>∞ 234483279c20∞</em>
Answer:
63/50 meters^2 or in mixed number: 1 13/50 meters^2
Step-by-step explanation:
Area= length * width
length = 4 1/5= 21/5 . Multiply the whole number with the denominator. 4*5= 20 . Add 20 with the numerator. 20+1=22
width= 3/10
21/5* 3/10 ( Multiply the denominators together). ( Multiply the numerators together).
21*3 / 5*10
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.
