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
The minimum score required for the scholarship to the nearest tenth is 29.2 .
Example Problem:
Billy goes to the nurse and she says Billy is 4 Feet 6 Inches. Billy's mom wants to know how many inches tall Billy is. How tall is Billy on Inches?
Solution:
Billy is 54 Inches tall.
=(4 × 12) + 6
=48 + 6
=54 Inches
Explanation:
You are converting the larger unit to the smaller one because you are trying to find how tall Billy is in inches and you know Billy is 4 feet 6 inches, so you need to convert 4 feet to inches.
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Answer:
13 over 2
Step-by-Step equation:
4x + 8<2x - 5
4x - 2x < -5-8
-2x<-13
x>13/2 (13 over 2)
Answer:
I will demonstrate the first two for you. The answer is 6, <u>30</u>, <u>54</u>, <u>78</u>, 102.
The answer to the second question is -3,<u> 21,</u> <u>45</u>, <u>63,</u> 93.
Step-by-step explanation:
Pardon the messiness. I hope this clarifies how to do it from now on! If not, please let me know if you need more help! xoxo
Answer:
3log2+log3+logx
Step-by-step explanation:
log8(3x) can be written as log(8•3x)
Log laws says that log(ab)=log(a)+log(b)
So log (8•3•x)=log8+log3+logx
log8 can be written into prime factorization of log(2^3) and by more log laws that can be written as 3log2
