When a number is increased by 8.2%, the result is 106. What is the original number to the nearest tenth?
1 answer:
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Answer:
[1, ∞)
Step-by-step explanation:
1) Solve for x
-4x + 21 3x + 14
21 7x + 14
7 7x
1 x
2) 1 is the lowest possible value of x and since it's a smaller or equal to inequality, you use a square bracket. If it was 1 < x, it would be a round bracket. Since there isn't a boundary for the highest value of x, you write an infinity. When you have an infinity, it's always a round bracket.
Answer:
The minimum score that an applicant must make on the test to be accepted is 360.
Step-by-step explanation:
Given : A highly selective boarding school will only admit students who place at least 2.5 standard deviations above the mean on a standardized test that has a mean of 300 and a standard deviation of 24.
To find : What is the minimum score that an applicant must make on the test to be accepted?
Solution :
We apply the z formula,
Where, z value= 2.5
is the mean of the population
is the standard deviation
x is the sample mean.
Substituting the values in the formula,
Therefore, The minimum score that an applicant must make on the test to be accepted is 360.