20miles increased by 30%=new mileage added
20x.3= 6
6 miles more than his previous distance so...
6+20= 26
NOTE you can also use 1.3 instead of .3 as the percent to get the answer with out addition.
The distance formula is:
D = sqrt((x2-x1)^2 + (y2-y1)^2)
D= sqrt ((6-2)^2 + (8-1)^2)
D = sqrt(4^2 + 7^2)
D = sqrt( 16 + 49)
D = sqrt(65)
D = 8.06
Rounded to the beat tenth = 8.1 units.
The answer is C. 8.1 units
Answer:
It will take approximately 34 years
Step-by-step explanation:
If a town population is 8000 and grows 3% annually.
How long will it take to reach 16300
growth is 16300 - 8000 = 8300
using simple interest formula
SI = (P × r × t)/100
8300 = (8000 × 3 × t)100
8300= (80 × 3)t
8300 = 240t
t = 8300/240
t ≈ 34 years to the nearest tenth
Answer:
The statement, (1- <em>α</em>)% confidence interval for (μ₁ - μ₂) does not contain zero is TRUE.
Step-by-step explanation:
The hypothesis for a test is defined as follows:
<em>H</em>₀: μ₁ = μ₂ vs. <em>H</em>ₐ: μ₁ ≠ μ₂
It is provided that the test was rejected st the significance level <em>α</em>%.
If a decision is to made using the confidence interval the conditions are:
If the null hypothesis value is not included in the (1 - <em>α</em>)% confidence interval then the null hypothesis will be rejected and vice versa.
In this case the null hypothesis value is:
<em>H</em>₀: μ₁ - μ₂ = 0.
If the value 0 is not included in the (1 - <em>α</em>)% confidence interval for the difference between two means, then the null hypothesis will be rejected.
Thus the statement, (1- <em>α</em>)% confidence interval for (μ1- μ2) does not contain zero is TRUE.
Tan^-1 (tan x) = 42/25
x=tan^-1 42/25
x= 59.237 degrees.
