Answer:
2.72 × 10^8 seconds
Step-by-step explanation:
1. Organize the given information to help you create the equation:
- Light travels 1.86 × 10^5 miles per 1 second
- Light travels 5.062 × 10^13 miles per <em>n</em> seconds
- Need to solve for <em>n</em>
2. Set up the equation (Make sure that both numerators and both denominators match units, so the seconds are either both on top or both on bottom, NOT switched):
= 
3. Cross multiply (Multiply the first fraction's numerator by the second's denominator, and vice versa. It doesn't matter what number is on which side of the = sign)
<em>n </em>× (1.86 × 10^5) = 5.062 × 10^13
4. Solve for <em>n</em> by isolating the variable and dividing.
= 
<em>n</em> =
<em>n </em>= 2.72 × 10^8 (Make sure to include the unit, seconds)
Answer:
sin^-1 (√111)/2√37) = 60°
Answer:
<u>Type I error: </u>D. Reject the null hypothesis that the percentage of adults who retire at age 65 is less than or equal to 62 % when it is actually true.
<u>Type II error: </u>A. Fail to reject the null hypothesis that the percentage of adults who retire at age 65 is less than or equal to 62 % when it is actually false.
Step-by-step explanation:
A type I error happens when a true null hypothesis is rejected.
A type II error happens when a false null hypothesis is failed to be rejected.
In this case, where the alternative hypothesis is that "the percentage of adults who retire at age 65 is greater than 62%", the null hypothesis will state that this percentage is not significantly greater than 62%.
A type I error would happen when the conclusion is that the percentage is greater than 62%, when in fact it is not.
A type II error would happen when there is no enough evidence to claim that the percentage is greater than 62%, even when the percentage is in fact greater than 62% (but we still don't have evidence to prove it).
To find the mode, or modal value, it is best to put the numbers in order. Then count how many of each number. A number that appears most often is the mode.The Range is the difference between the lowest and highest values. Example: In {4, 6, 9, 3, 7} the lowest value is 3, and the highest is 9. So the range is 9 − 3 = 6 .
