Answer:
- Elanor's standardized score is 1.19
- Gerald's standardized score is 0.72
- Elanor has higher score
Step-by-step explanation:
To compare Elanor's and Gerald's math scores, we need to standardize them and calculate their z-scores.
z score can be calculated using the formula
z= where
- M is the mean score of the exam
- s is the standard deviation of the exam
Elanor's standardized score is:
z(e) = ≈ 1.19
Gerald's standardized score is:
z(g)= ≈ 0.72
Since z(e) > z(g), Elanor has higher score
Answer:
16 oranges
Step-by-step explanation:
The ratio of oranges to apples is 4:3 which means that for every four oranges, there are 3 apples.
Since there are 12 apples in the basket, to find the number of oranges, set up a ratio.
4/3 = x/12 (x represents the number of oranges)
Cross multiply.
48 = 3x
Divide by 3.
x = 16
There are 16 oranges in the basket.
Hope that helps.
Answer:
The statement is false
Step-by-step explanation:
we know that
The tangent function will be positive when the sine function and the cosine function have the same sign
so
In the first quadrant the tangent function is positive
In the third quadrant the tangent function is positive
so
The statement is false