Answer:
9. 4x<12
10. x (greater than or equal to) 6
11. 9x>36
12. x (greater than or equal to) -5
13. x>15
14. x (less than or equal to) -30
15. x>-48
16. x<1
Step-by-step explanation:
i hope this helps :)
Multiplying both sides of this equation by 3, to eliminate the fraction, we get:
9 + m = 6.
Next, we subtract 9 from both sides to isolate m: m = 6 - 9 = -3
Then m = -3.
Check: Subst. -3 for m in this equation:
9 - 3 6
------- = ------ = 2 (as expected). Thus, m = -3 is correct.
3 3
Problem #10:
4n - 9 = -9 Add 9 to both sides: 4n = -9 + 9 = 0.
Divide both sides by 4: n = 0.
Check: Substitute 0 for n: 4(0) - 9 = -9 is true.
Answer:
29.2
Step-by-step explanation:
Mean = 21.4
Standard deviation = 5.9%
The minimum score required for the scholarship which is the scores of the top 9% is calculated using the Z - Score Formula.
The Z- score formula is given as:
z = x - μ /σ
Z score ( z) is determined by checking the z score percentile of the normal distribution
In the question we are told that it is the students who scores are in the top 9%
The top 9% is determined by finding the z score of the 91st percentile on the normal distribution
z score of the 91st percentile = 1.341
Using the formula
z = x - μ /σ
Where
z = z score of the 91st percentile = 1.341
μ = mean = 21.4
σ = Standard deviation = 5.9
1.341= x - 21.4 / 5.9
Cross multiply
1.341 × 5.9 = x - 21.4
7.7526 = x -21.4
x = 7.7526 + 21.4
x = 29.1526
The 91st percentile is at the score of 29.1526.
We were asked in the question to round up to the nearest tenth.
Approximately, = 29.2
Step-by-step explanation:
4.0
is going to be your answer
