Claire bought 180 candies and 140 pens for goody bags for her birthday. What is the largest number of goody bags that Claire can
2 answers:
Answer: 20
Step-by-step explanation:
Given : Claire bought 180 candies and 140 pens for goody bags for her birthday.
To find : The largest number of goody bags that Claire can make so that each goody bag has the same number of candies and the same number of pens ( such that no pens or candies left).
So we find the GCF ( Greatest common factor ) or Number of candies and Number of pens.
i.e. we need to find GCF of 180 and 140 .
Prime factorization of 180 =
Prime factorization of 140 =
The greatest common factor of 180 & 140 =
∴ Claire can make 20 goody bags so that each goody bag has the same number of candies and the same number of pens.
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Answer:
The area between z = 1.74 and z = 1.25 is of 0.065.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean and standard deviation
, the z-score 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 p-value, we get the probability that the value of the measure is greater than X.
The area between two values of Z is given by the subtraction of the pvalue of the larger value by the smaller.
The area between z = 1.74 and z = 1.25.
This is the pvalue of z = 1.74 subtracted by the pvalue of z = 1.25.
z = 1.74 has a pvalue of 0.959
z = 1.25 has a pvalue of 0.894
0.959 - 0.894 = 0.065
The area between z = 1.74 and z = 1.25 is of 0.065.