What is the vertex of: y=x^2+10x+26
1 answer:
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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)
<h2>3</h2>
Step-by-step explanation:
The equation of line passing through the two points is
When substituted,the equation becomes
which when simplified is
The line clearly passes through origin.
The distance between two points is
Distance between origin and is
.
Distance between origin and is
Scale factor is
So,scale factor is
which when simplified becomes 3.