The distance between point <span>(-6, -1) and point (4, 3) is 10.77.</span>
Answer:
x=66°
Step-by-step explanation:
We know that the total angle measure in a triangle is always 180°, so first we need to find the angle value of BAC. They give us a straight line aligning with this angle and measure of 98° for the angle DAB (which is forming other part of line) and a line is 180° so we subtract and find that angle BAC is 82°.
Now that we know the angle measure of 2 angles in the triangle, we add them up and get 114°. Now we subtract this from 180° and get 66°, which is the measure of x.
Answer:
See below for answers and explanations
Step-by-step explanation:
<u>Part A</u>
Assuming that conditions have been met for the interval, we use the formula 
where 
represents the sample mean, 
represents the critical value, 
represents the sample standard deviation, and 
is the sample size.
The critical value of for an 80% confidence level with degrees of freedom 
is equivalent to 
Thus, we can compute the confidence interval:
Therefore, we are 80% confident that the true mean age of all customers is between 30.17 and 35.11 years.
<u>Part B</u>
The margin of error is 
Answer:
D. x ≥ -10
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>
10 - 4x ≤ 50
<u>Step 2: Solve for </u><em><u>x</u></em>
- Subtract 10 on both sides: -4x ≤ 40
- Divide -4 on both sides: x ≥ -10
Here we see that any value <em>x</em> greater than or equal to -10 would be a solution to the inequality.
