Answer:
7x+8
Step-by-step explanation:
10x+8-3x = 7x+8
Answer:
For 15 years - 
After 15 years - 
Step-by-step explanation:
We have that,
Initial population is 110,000 which grows by the rate 4% i.e. 0.04 for 15 years.
Since, the exponential growth is given by
,
where P is the initial population, r is the rate of interest and x is the number of years.
Thus, the required population is
i.e.
.
Moreover, after 15 years i.e. x+15 years, the population will be
.
Thus, the population after 15 years is
.
Answer:
2 ^12
Step-by-step explanation:
16 ^3
Replace 16 with 2^4
2^4^3
We know that a^b^c = a^ (b*c)
2^(4*3)
2 ^12
Answer: (6.4005, 4.925)
Step-by-step explanation: n = sample size = 68
σ = population standard deviation = 0.35 hours
x = sample mean = 5.8
We are to construct a 95% confidence level for population mean.
This is given below as
Confidence interval = x ± Zα/2 × σ/√n
Where Zα/2 = critical value for a 2 tailed with 5 percent level of significance (that's α=5%) = 1.96
Note that level of significance + confidence level = 100, hence a 95% confidence level will give a 5% level of significance
For the upper limit of the 95% confidence interval, we have that
x + Zα/2 × σ/√n
5.8 +1.96(0.38/√68)
5.8 + 1.96 (0.046)
5.8 + 0.0875
= 6.4005
For the lower limit of the 95% confidence interval, we have that
x - Zα/2 × σ/√n
5.8 - 1.96(0.38/√68)
5.8 - 1.96 (0.046)
5.8 - 0.0875
=4.925
Answer:4/7
Step-by-step explanation: cross-canceling helps
12/7×1/3
4/7×1/1=4/7