Suppose ACT Reading scores are normally distributed with a mean of 21.4 and a standard deviation of 6.2. A university plans to award scholarships to students whose scores are in the top 8%. What is the minimum score required for the scholarship? Round your answer to the nearest tenth, if necessary.

30.1

Step-by-step explanation:

Mean score (μ) = 21.4

Standard deviation (σ) = 6.2

If only the top 8% of scores will get scholarships, students whose scores are at the 92nd percentile or above qualify for a scholarship. In a normal distribution, the 92nd percentile has a corresponding z-score of z = 1.405.

The minimum score, X, required for a scholarship is given by:

The minimum score required for the scholarship is 30.1.

the inequality is:

250c+180g≥950

step-by-step explanation:

let c denotes the number of days in a week   miyoko worked as a cryptographer.

and g denotes the number of days in a week she works as a geologist.

now we are given that she earns $250 for every day she works as a cryptographer,and earns $180 for every day she works as a geologist.

now miyoko's goal is to earn more than $950 this week.

hence, the inequality could be represented as:

250c+180g≥950