Answer:
140 coins
Step-by-step explanation:
To calculate the total number of coins Kate have in her collection, we can use the rule of three:
The problem says that 7 of her coins are equivalent of 5% of her entire collection, and we want to know the total number of coins (100%) of her collection. So, if 7 coins are 5%, how much coins are 100%:
7 -> 5%
X -> 100%
7/X = 5/100
X = 100*7/5 = 140 coins
-5
This is just to fill out the space of twenty characters
Answer:
h(-8)=-8
Step-by-step explanation:
Since we are finding h(-8), we plug -8 into the equation:
h(-8)=((-8)²+3(-8))/(4(-8)+27)
h(-8)=(64-24)/(-32+27)
h(-8)=40/-5
h(-8)=-8
Therefore, h(-8)=-8, which means your answer is correct!
Answer:
The minimum score required for a letter of recognition is 631.24.
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 is the minimum score required for a letter of recognition
100 - 10 = 90th percentile, which is the value of X when Z has a pvalue of 0.9. So X when Z = 1.28.
The minimum score required for a letter of recognition is 631.24.