The product of 7 , and a number increased by 8 , is 105. What is the number?
1 answer:
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Answer:
The possible coordinates of point A are and
, respectively.
Step-by-step explanation:
From Analytical Geometry, we have the Equation of the Distance of a Line Segment between two points:
(1)
Where:
- Length of the line segment AB.
- x-coordinates of points A and B.
- y-coordinates of points A and B.
If we know that ,
,
and
, then the possible coordinates of point A is:
There are two possible solutions:
1)
2)
The possible coordinates of point A are and
, respectively.
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)