Describe the relationship between the values of the two sevens in the number 7,273
1 answer:
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18.273 years will take to reach the population of 7500, if a town has a population of 4000 and grows at 3.5% every year.
Step-by-step explanation:
The given is,
Population of 4000
Rate of grow 3.5% every year
Population after few years 7500
Step:1
Formula to calculate the population with the grow rate every year,
..........................(1)
Where,
F - Population after t years
P - Initial population
r - Rate of grow
t - No.of years
From given,
F = 7500
P = 4000
r = 3.5%
Equation becomes (1),
1.875 =
Take log on both sides,
Substitute log values,
= 18.273
t = 18.273 year
or
t = 18 years 3 months 2 weeks
Result:
18.273 years will take to reach the population of 7500, if a town has a population of 4000 and grows at 3.5% every year.
Answer:
92.9997<<99.5203
Step-by-step explanation:
Using the formula for calculating the confidence interval expressed as:
CI = xbar ± Z * S/√n where;
xbar is the sample mean
Z is the z-score at 90% confidence interval
S is the sample standard deviation
n is the sample size
Given parameters
xbar = 96.52
Z at 90% CI = 1.645
S = 10.70.
n = 25
Required
90% confidence interval for the population mean using the sample data.
Substituting the given parameters into the formula, we will have;
CI = 96.52 ± (1.645 * 10.70/√25)
CI = 96.52 ± (1.645 * 10.70/5)
CI = 96.52 ± (1.645 * 2.14)
CI = 96.52 ± (3.5203)
CI = (96.52-3.5203, 96.52+3.5203)
CI = (92.9997, 99.5203)
<em>Hence a 90% confidence interval for the population mean using this sample data is 92.9997<</em><em><99.5203</em>