Answer:
The mean is 15.93 ounces and the standard deviation is 0.29 ounces.
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.
7% of the bottles containing this soft drink there are less than 15.5 ounces
This means that when X = 15.5, Z has a pvalue of 0.07. So when X = 15.5, Z = -1.475.




10% of them there are more than 16.3 ounces.
This means that when X = 16.3, Z has a pvalue of 1-0.1 = 0.9. So when X = 16.3, Z = 1.28.




From above

So




The mean is

The mean is 15.93 ounces and the standard deviation is 0.29 ounces.
It is a simple problem where 120 centimeters need to be increased by 24%. The increased length can be found by:
120 * (24/100)
= 12 * (24/10)
= 288/10
= 28.8 centimeters
Then the total length of increase = 28.8 cm
Then the increased length = (120 + 28.8) cm
= 148.8 cm
So the length becomes 148.8 cm after it is increased by 24%.
Ok, so she started off with $5.00.
She bought milk for $2.99.
She buys bread, which costs $1.50.
Subtracting the money she wasted, the total would be $0.51.
The only thing she could buy is 5 pieces of gum for 25 cents.
Her change will be $0.26.
Hope this helps!
Statistics should be used because the temperature would vary during January and you would want to give an accurate answer.
Given :
Length of yarn, l = 225 yards.
Number of bracelets he made, n = 1000 .
To Find :
How long will the yarn be for each bracelet.
Solution :
Let, length of yarn used in each bracelet is x.
So,

Therefore, length of yarn used in each bracelet is 0.225 yard.