If j and k are inversely proportional and j = 42 when k = 56, what is the value of j when k = 32? Express your answer as a decim
al rounded to the nearest tenth.
1 answer:
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Answer:
14. -5√30 +3√2
15. 18√5 -30√3
Step-by-step explanation:
You can multiply radicals using ...
(√a)(√b) = √(ab)
And you can simplify radicals using ...
√(a²b) = a√b
_____
14. Using the distributive property, then simplifying the radicals, we have ...
__
15. Similarly, ...
The answer is 96%.
Explanation:
It is generally presumed that the scores are normally distributed.
1) You are given how many standard deviations from the mean Jeremy's score is. This is exactly the definition of the z-score. Therefore z = 1.75
2) Look at a left-tail z-table in order to find the area of the normal curve on the left of your z-score (see picture attached). A = 0.9599
3) Multiply the area by 100 in order to find the percentile:
<span>0.9599 </span>× 100 = 95.99
Therefore, 95.99% of the students scored less than Jeremy.
Hence, the answer is 96%.
Explanation:
It is generally presumed that the scores are normally distributed.
1) You are given how many standard deviations from the mean Jeremy's score is. This is exactly the definition of the z-score. Therefore z = 1.75
2) Look at a left-tail z-table in order to find the area of the normal curve on the left of your z-score (see picture attached). A = 0.9599
3) Multiply the area by 100 in order to find the percentile:
<span>0.9599 </span>× 100 = 95.99
Therefore, 95.99% of the students scored less than Jeremy.
Hence, the answer is 96%.