Answer:
a) 0.7734
Step-by-step explanation:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean
and standard deviation
, the zscore of a measure X is given by:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this question, we have that:

(a) what proportion of children aged 13 to 15 years old have scores on this test above 83 ?
This is 1 subtracted by the pvalue of Z when X = 83. So



has a pvalue of 0.2266
1 - 0.2266 = 0.7734
The answer is 0.7734
495-7=488
488/4=122
122*5=610
The answer is 610 students attend the school.
Answer:
what
Step-by-step explanation:
Answer:
The population of the town in 2020 will approx. be 12,039.
Step-by-step explanation:
The initial population in the year 2017 = 10,400
Increase in population every yea r = 5%
Now, 5% of 10, 400 = 
Hence, the population in the year 2018 = 10,400 + 520 = 10,920
Now, in the year 2019
5% of 10, 920 = 
Hence, the population in the year 2019 = 10,920 + 546 = 11,466
Now, in the year 2020
5% of 11,466 = 
or, the population in the year 2020 = 11,466 + 573.3 = 12,039.3
The population of the town in 2020 will approx. be 12,039.
Answer:
9.44 x 10^4 in scientific notation
Step-by-step explanation: