Step-by-step explanation:
We can prove the statement is false by proof of contradiction:
We know that cos0° = 1 and cos90° = 0.
Let A = 0° and B = 90°.
Left-Hand Side:
cos(A + B) = cos(0° + 90°) = cos90° = 0.
Right-Hand Side:
cos(A) + cos(B) = cos(0°) + cos(90°)
= 1 + 0 = 1.
Since LHS =/= RHS, by proof of contradiction,
the statement is false.
Since the variable type of writing utensil assumes labels and not numbers, it is classified as qualitative.
<h3>What are qualitative and quantitative variables?</h3>
- Qualitative variables: Assumes labels or ranks.
- Quantitative variables: Assume numerical values.
In this problem, the type of writing utensil has 4 labels: regular pencil, mechanical pencil, pen, whatever.
Hence, since the variable assumes labels and not numbers, it is classified as qualitative.
More can be learned about quantitative and qualitative variables at brainly.com/question/20598475
Answer:
a) 2.5% b) 50%
Step-by-step explanation:
1300 is two standard deviations higher than the mean. Since 95% of the data is covered within two standard deviations to the left and right of the mean, 5% is not covered. So, we have 2.5% leftover on the left side of the curve, under 900, and 2.5% leftover on the right side of the graph that is above 1300.
The mean is 1100, so anything above or below the mean is exactly 50% in a normal distribution.
Rewrite the decimal as a fraction by putting that number as the numerator and the denominator would be how many times the number has repeated originally.
I hope this helped you!
