Pretty difficult problem, but that’s why I’m here.
First we need to identify what we’re looking for, which is t. So now plug 450k into equation and solve for t.
450000 = 250000e^0.013t
Now to solve this, we need to remember this rule: if you take natural log of e you can remove x from exponent. And natural log of e is 1.
Basically ln(e^x) = xln(e) = 1*x
So knowing this first we need to isolate e
450000/250000 = e^0.013t
1.8 = e^0.013t
Now take natural log of both
Ln(1.8) = ln(e^0.013t)
Ln(1.8) = 0.013t*ln(e)
Ln(1.8) = 0.013t * 1
Now solve for t
Ln(1.8)/0.013 = t
T= 45.21435 years
Now just to check our work plug that into original equation which we get:
449999.94 which is basically 500k (just with an error caused by lack of decimals)
So our final solution will be in the 45th year after about 2 and a half months it will reach 450k people.
Answer:
? = 14
Step-by-step explanation:
let us say that ? = x
7^x * 7^5^4 = 7^34
When you have a power to a power you multiply
7^x * 7^20 = 7^34
when you multiply common bases you add the power. since all the bases aer the same just look at the power
7^34-20 = 7^x
7^14 = 7^x
Using the z-distribution, it is found that:
- The 95% confidence interval is of -1.38 to 1.38.
- The value of the sample mean difference is of 1.74, which falls outside the 95% confidence interval.
<h3>What is the z-distribution confidence interval?</h3>
The confidence interval is:
In which:
is the difference between the population means.
In this problem, we have a 95% confidence level, hence
, z is the value of Z that has a p-value of 
, so the critical value is z = 1.96.
The estimate and the standard error are given by:
Hence the bounds of the interval are given by:
1.74 is outside the interval, hence:
- The 95% confidence interval is of -1.38 to 1.38.
- The value of the sample mean difference is of 1.74, which falls outside the 95% confidence interval.
More can be learned about the z-distribution at brainly.com/question/25890103
#SPJ2
In order to do this, we have to 1st find the volume of each ball using the sphere volume formula: 4/3(pi)r^3
Baseball: 4/3(pi)(1.375in)^3
Soccer ball: 4/3(pi)(4.25in)^3
Calculate to get:
Baseball: about 10.89
Soccer ball: about 321.56
So subtract these 2 numbers:
321.56in^3 - 10.89in^3
= 310.67 in^3
So the difference in volume between these two objects would be 310.67 in^3
