Answer:
The 95% confidence interval for the difference is (-0.1888, 0.0202).
Step-by-step explanation:
Difference between proportions:
The distribution of the difference between two proportions has mean of the difference between these proportions and standard deviation is the square root of the sum of the variances. So
In a sample of 86 units made with gold wire, 68 met the specification
This means that:
In a sample of 120 units made with aluminum wire, 105 met the specification.
This means that:
Difference:
Confidence interval:
In which z is the zscore that has a pvalue of 
, with 
being 1 subtracted by the confidence level.
95% confidence level
So 
, z is the value of Z that has a pvalue of 
, so 
.
Lower bound of the interval:
Upper bound of the interval:
The 95% confidence interval for the difference is (-0.1888, 0.0202).
(2−2n)−(5n−27) >0
distribute
2-2n -5n +27 >0
combine like terms
-7n +29 >0
subtract 29 from each side
-7n> -29
divide by -7 (flips the inequality)
n < -29/-7
n <4.14
natural numbers are 1,2,3,4......
n must be 1,2,3,4
Answer: 1,2,3,4
Answer:
the population in 2015 is 8201.0695
Step-by-step explanation:
Given that
There is a population of the 50 timber wolves
And, the exponential function given is
p(t) = 50 × e^(0.85 × t)
Here t denotes the time period i.e.
= 2015 - 2009
= 6
So,
= 50 × e^(0.85 × 6)
= 8201.095
Hence, the population in 2015 is 8201.0695
Answer:
b
Step-by-step explanation:
using the law of logarithms
• log 
= nlogx
given 
= 29 ( take log of both sides, that is base 10 )
log = log 29, hence
tlog 3 = log29 (divide both sides by log 3 )
t = 
≈ 3.0650 → b
