The answer is <span>35.35294</span>
Answer:
x = 2/5
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtract Property of Equality
Step-by-step explanation:
<u>Step 1: Define</u>
5x = 2
<u>Step 2: Solve for </u><em><u>x</u></em>
- Divide 5 on both sides: x = 2/5
<u>Step 3: Check</u>
<em>Plug in x into the original equation to verify it's a solution.</em>
- Substitute in <em>x</em>: 5(2/5) = 2
- Multiply: 2 = 2
Here we see that 2 does indeed equal 2.
∴ x = 2/5 is the solution to the equation.
Answer:
The degrees of freedom are given by:
The p value for this case would be given by:
Step-by-step explanation:
Information given
represent the mean height for the sample
represent the sample standard deviation
sample size
represent the value that we want to test
t would represent the statistic
represent the p value for the test
Hypothesis to verify
We want to cehck if the true mean is lees than 25 mph, the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
The statistic would be given by:
(1)
Replacing the info given we got:
The degrees of freedom are given by:
The p value for this case would be given by:
Answer:

Step-by-step explanation:
Given

Required
Determine the area with coordinates 
The area is represented as:

Where

and

Substitute values for r, a and b in


Expand


By integratin the above, we get:
![Area = \frac{1}{2}*\frac{(cos(\theta) + 4)sin(\theta) + 3\theta}{2}[0,2]](https://tex.z-dn.net/?f=Area%20%3D%20%5Cfrac%7B1%7D%7B2%7D%2A%5Cfrac%7B%28cos%28%5Ctheta%29%20%2B%204%29sin%28%5Ctheta%29%20%2B%203%5Ctheta%7D%7B2%7D%5B0%2C2%5D)
![Area = \frac{(cos(\theta) + 4)sin(\theta) + 3\theta}{4}[0,2]](https://tex.z-dn.net/?f=Area%20%3D%20%5Cfrac%7B%28cos%28%5Ctheta%29%20%2B%204%29sin%28%5Ctheta%29%20%2B%203%5Ctheta%7D%7B4%7D%5B0%2C2%5D)
Substitute 0 and 2 for
one after the other





Get sin(2) and cos(2) in radians


