Answer:
The origin is where the x intercept and the Y intercept crosses
Step-by-step explanation:
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.
I think you meant to write
(2 × 10⁶) × 0.00009
First, convert 0.00009 to scientific notation:
0.00009 = 9 × 10 ⁻⁵
Then
(2 × 10⁶) × 0.00009 = (2 × 10⁶) × (9 × 10 ⁻⁵)
… = (2 × 9) × (10⁶ × 10 ⁻⁵)
… = 18 × 10¹
… = 1.8 × 10²
Answer:
The answer to your question is: letter C
Step-by-step explanation:
Multiplicative inverse is a pair of numbers which product gives 1.
Then
x will be our number
-9x = 1
x = - 1/9
because
-9 x 
= 
= 1
Answer:
9/11
Step-by-step explanation:
4 1/2= 9/2=11/2n
so n =9/11
so 9/2=11/2*9/11
