<u>Answer:</u>
The grade you make on your exam varies directly with the number of correct answers. The constant of variation is 5
<u>Solution:</u>
Given, The grade you make on your exam varies directly with the number of correct answers you get on the exam.
Answering 15 questions correctly will give you a grade of 75 what is the.
We have to find what is the Constant of variation.
Now, according to the given information, grade number of correct answer
Then, grade = c x number of correct answers, where c is constant of variation.
Now, substitute grade = 75 and number of correct answers = 15
Hence, the constant of variation is 5
Answer:
-28
Step-by-step explanation:
h(4)=-2(4)^2+4
-32+4=-28
Answer:
V = 1071.79 yd^3
Step-by-step explanation:
The volume of a cone is
V = 1/3 pi r^2 h where r is the radius and h is the height
We are given a diameter of 16 so the radius is 1/2 of the diameter or 8
The height is 16
V = 1/3 ( 3.14) (8)^2 ( 16)
V = 1071.78666 yd^3
Rounding to the nearest hundredth
V = 1071.79 yd^3
Answer: A. H0: Mean= 5 and Ha: Mean is not equal to 5.
Step-by-step explanation:
Definitions:
- Null hypothesis
is a statement describing population parameters according to the objective of the study. It takes "≤,≥,=" signs.
- Alternative hypothesis
is a statement opposite to the null hypothesis elaborating population parameters according to the objective of the study. It takes ">, <, ≠" signs.
Given: The diameter of a spindle in a small motor is supposed to be 5.8 millimeters.
If the spindle is either too small or too large, the motor will not work properly. so, Mean diameter ≠ 5.8 to work correctly.
i.e. 
So, 
The required null and alternative hypotheses:
H0: Mean= 5 and Ha: Mean is not equal to 5.
