Answer:
The slope is 4/5
Step-by-step explanation:
The correct answer is option c.) Kari has almost exactly enough left in her budget to see Genoa.
Explanation:
Given information is :
Kari has a budget of $585 set aside for sightseeing.
A tour to Genoa would cost her €60.85.
US dollars to euros at the time of Kari's visit is 1:0.6859, it means 1 dollar was 0.6859 euros.
As a trip to Genoa will cost her, €60.85, so in dollars it becomes:
0.6859 euros =$1
60.85 euros =
≈$88.72
Hence, out of her $585 budget, only $88.72 are used. So, she is left with enough money after visiting Genoa.
Answer:
The minimum height in the top 15% of heights is 76.2 inches.
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:
![Z = \frac{X - \mu}{\sigma}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7BX%20-%20%5Cmu%7D%7B%5Csigma%7D)
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:
![\mu = 73.4, \sigma = 2.7](https://tex.z-dn.net/?f=%5Cmu%20%3D%2073.4%2C%20%5Csigma%20%3D%202.7)
Find the minimum height in the top 15% of heights.
This is the value of X when Z has a pvalue of 0.85. So it is X when Z = 1.04.
![Z = \frac{X - \mu}{\sigma}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7BX%20-%20%5Cmu%7D%7B%5Csigma%7D)
![1.04 = \frac{X - 73.4}{2.7}](https://tex.z-dn.net/?f=1.04%20%3D%20%5Cfrac%7BX%20-%2073.4%7D%7B2.7%7D)
![X - 73.4 = 1.04*2.7](https://tex.z-dn.net/?f=X%20-%2073.4%20%3D%201.04%2A2.7)
![X = 76.2](https://tex.z-dn.net/?f=X%20%3D%2076.2)
The minimum height in the top 15% of heights is 76.2 inches.
Answer:
b
Step-by-step explanation:
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