Answer:
After 7 years the population will be 15268.
Step-by-step explanation:
Given a town has a population of 12000 and grows at 3.5% every year. we have to find the population after 7 years.
As the general growth formula is

where A = Amount after growth
P = Original amount
r = yearly growth rate
t = no. of years
here, P=12000, r=0.035, t=7

=
= 
Hence, after 7 years the population will be 15268.
Answer:
a) -19/60
Step-by-step explanation:
add 7/12 to -19/60 and you get 0.26 repeating.
4/15 is 0.26 repeating.
so yea hope this helped :)
Answer:
yes
Step-by-step explanation:
when 6 and 5 intersect it makes a ninty degree angle which is also known as a right angle and since its a triangle it simplifies to a right triangle. Sorry if i am wrong but im pretty sure im right lol
Testing the hypothesis in this problem which is a two-tailed test, we can conclude that there is not sufficient evidence to conclude that the mean time of installation has changed, since the p-value of the test is 0.0364 > 0.01,
At the null hypothesis, we test if the <u>mean is of 25 minutes</u>, that is:

At the alternative hypothesis, we test if the mean has changed, that is, if it is <u>different than 25 minutes</u>.

We have the <u>standard deviation for the sample</u>, thus, the t-distribution is used. The value of the test statistic is:

In which:
- X is the sample mean.
is the value tested at the null hypothesis.- s is the standard deviation of the sample.
- n is the sample size.
In this problem:
- 25 is tested at the null hypothesis, thus
. - Sample mean of 26.2 minutes, thus
. - Sample of 51, thus
. - Variance of 16, thus
.
The <u>value of the test statistic</u> is:



- The p-value of the test is found using a <u>two-tailed test</u>(test if the mean is different of a value), with <u>t = 2.14 and 50 degrees of freedom</u>.
- Using a t-distribution calculator, this p-value is of 0.0364.
Since the p-value of the test is 0.0364 > 0.01, there is not sufficient evidence to conclude that the mean time of installation has changed.
A similar problem is given at brainly.com/question/23777908