Answer:
47.06% of the population has an IQ between 85 and 105.
Step-by-step explanation:
Problems of normally distributed samples are 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 problem, we have that:
What percent of the population has an IQ between 85 and 105?
This is the pvalue of Z when X = 105 subtracted by the pvalue of Z when X = 85. So
X = 105
has a pvalue of 0.6293.
X = 85
has a pvalue of 0.1587
So 0.6293 - 0.1587 = 0.4706 = 47.06% of the population has an IQ between 85 and 105.
<h2>
Answer:</h2>
The value of s is 23°
<h2>
Step-by-step explanation:</h2><h3>Known :</h3>
- VW = VY
- WX = s + 69
- XY = 4s
<h3>Asked :</h3>
<h3>Solution :</h3>
Since VW line and VY line has the same length, so the WX line and XY line should also have the same length.
4s = s + 69
4s - s = 69
3s = 69
s = 23°
<h3>Conclusion :</h3>
The value of s is 23°
Answer:
Mean = 12
Step-by-step explanation:
The arithmetic mean of a distribution is the sum of the number of samples in the distribution divided by the number of samples in the dataset. It is a measure of central tendency. The mean is represented as follows:
Mean = 12
Answer:
8.245*10^6
Step-by-step explanation:
scientific notation is known as c*10^n
c : any number from 1-10
n : the power of base 10
the number in our case between 1 and 10 is 8.245
but then we want to move the decimal 6 spaces to the right, so we multiply that by 10^6
Over estimated because the exact answer is 2.6.
