Using the normal distribution, it is found that 58.97% of students would be expected to score between 400 and 590.
<h3>Normal Probability Distribution</h3>
The z-score of a measure X of a normally distributed variable with mean and standard deviation is given by:
- The z-score measures how many standard deviations the measure is above or below the mean.
- Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.
The mean and the standard deviation are given, respectively, by:
The proportion of students between 400 and 590 is the <u>p-value of Z when X = 590 subtracted by the p-value of Z when X = 400</u>, hence:
X = 590:
Z = 0.76
Z = 0.76 has a p-value of 0.7764.
X = 400:
Z = -0.89
Z = -0.89 has a p-value of 0.1867.
0.7764 - 0.1867 = 0.5897 = 58.97%.
58.97% of students would be expected to score between 400 and 590.
More can be learned about the normal distribution at brainly.com/question/27643290
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Take some you time to focus on yourself, do calming activities wether it’s a walk, puzzle, or anything along those lines
Answer:
Mr. Sato needs 9 more magnets.
Step-by-step explanation:
The 24 students will form 12 pairs. The total number of magnets needed is 12*3 = 36. Mr. Sato gave out 9*3=27 magnets already and so he will need 36 - 27 = 9 more magnets.
Answer: option d.
Step-by-step explanation:
To solve this problem you must keep on mind the properties of logarithms:
Therefore, knowing the properties, you can write the expression gven in the problem as shown below:
Then, the answer is the option d.