Answer:
59 to 66
Step-by-step explanation:
Mean test scores = u = 74.2
Standard Deviation = = 9.6
According to the given data, following is the range of grades:
Grade A: 85% to 100%
Grade B: 55% to 85%
Grade C: 19% to 55%
Grade D: 6% to 19%
Grade F: 0% to 6%
So, the grade D will be given to the students from 6% to 19% scores. We can convert these percentages to numerical limits using the z scores. First we need to to identify the corresponding z scores of these limits.
6% to 19% in decimal form would be 0.06 to 0.19. Corresponding z score for 0.06 is -1.56 and that for 0.19 is -0.88 (From the z table)
The formula for z score is:
For z = -1.56, we get:
For z = -0.88, we get:
Therefore, a numerical limits for a D grade would be from 59 to 66 (rounded to nearest whole numbers)
Answer:
$82
Step-by-step explanation:
15% = $12.30
5% = $4.10 (divide both sides by 3)
100% = $82 (times both sides by 20 to get to 100% - original price)
Answer:
16
Step-by-step explanation:
The area of a parallelogram is b * h, where b and h are the base and height respectively. We know the base but not the height. However, we see a right triangle that has the height and 3 as legs and 5 as the hypotenuse. Pythagorean Triples tell us that the height is 4 and the area will be 4 * 4 = 16 sq. units. Hope this helps!
Answer: No, you line up the numbers by the decimal making 10.03 larger than 1.904
Don't get confused with the language of the question. The cylinder was made by stacking cut pieces of cardboard in circular shape. It is also given that the radius of circle is unit(1).
Volume of cylinder = πr²h = 3.14×1²×5 = 15.7 cm³