Answer:
The z-score for a data value of 121 is -2.29.
Step-by-step explanation:
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:
Find the z-score for a data value of 121.
This is Z when X = 121. So
The z-score for a data value of 121 is -2.29.
Answer: 7
Step-by-step explanation:
Find the prime factors of each term in order to find the greatest common factor (GCF).
Answer:
Step-by-step explanation:
Two Tangent Theorem: Tangents which meet at same point are equal in length.
Here tangents at J and H meet at I.
In order to determine the number of pens present in the container, we need to set up equations from the given in the problem statement. We do as follows:
let x the number of pencils
y the number of pens
From the statement, 9 more pencils then pens in a container,
x = y + 9
From the statement, there are 25 writing utensils in the container in all,
x + y = 25
We use substitution method to calculate for x and y,
y + 9 + y = 25
2y = 16
y = 8
x = 17
Therefore, there are 8 pens in the container and 17 pencils.
