The answer is -271/4x + 681/2
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:
The number is -1
Step-by-step explanation:
The equation for the first part is (2n+7)2. This is because "twice a number" is 2n and "7 is added" will make it 2n+7. The "sum is multiplied by two" Is multiplying everything by two. This will make it (2n+7)
The second part is -8n+2. Since a number is multiplied by negative eight it will be -8n. Then it is added by two.
Both equation equal each other the overall equation will be (2n+7)2=-8n+2
You will distribute. making it 4n+14=-8n+2
Add 8n to both sides making it 12n+14=2
subtract 14 from both sides making it 12n=-12
Divide both sides by 12 . making it number=-1
Answer:
x=10
Step-by-step explanation:
Set up the equation, (3x+6)+54=90 because both angles equal up to 90 degrees, and then solve for x.