Answer:
You should expect to find the middle 98% of most head breadths between 3.34 in and 8.46 in.
Step-by-step explanation:
When the distribution is normal, we use 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 question:
![\mu = 5.9, \sigma = 1.1](https://tex.z-dn.net/?f=%5Cmu%20%3D%205.9%2C%20%5Csigma%20%3D%201.1)
In what range would you expect to find the middle 98% of most head breadths?
From the: 50 - (98/2) = 1st percentile.
To the: 50 + (98/2) = 99th percentile.
1st percentile:
X when Z has a pvalue of 0.01. So X when Z = -2.327.
![Z = \frac{X - \mu}{\sigma}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7BX%20-%20%5Cmu%7D%7B%5Csigma%7D)
![-2.327 = \frac{X - 5.9}{1.1}](https://tex.z-dn.net/?f=-2.327%20%3D%20%5Cfrac%7BX%20-%205.9%7D%7B1.1%7D)
![X - 5.9 = -2.327*1.1](https://tex.z-dn.net/?f=X%20-%205.9%20%3D%20-2.327%2A1.1)
![X = 3.34](https://tex.z-dn.net/?f=X%20%3D%203.34)
99th percentile:
X when Z has a pvalue of 0.99. So X when Z = 2.327.
![Z = \frac{X - \mu}{\sigma}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7BX%20-%20%5Cmu%7D%7B%5Csigma%7D)
![2.327 = \frac{X - 5.9}{1.1}](https://tex.z-dn.net/?f=2.327%20%3D%20%5Cfrac%7BX%20-%205.9%7D%7B1.1%7D)
![X - 5.9 = 2.327*1.1](https://tex.z-dn.net/?f=X%20-%205.9%20%3D%202.327%2A1.1)
![X = 8.46](https://tex.z-dn.net/?f=X%20%3D%208.46)
You should expect to find the middle 98% of most head breadths between 3.34 in and 8.46 in.
Answer:
cosA=root8/3 is the answer
Since this is a problem of simple interest, then the interest earned will be based always on the principal amount which is 5000. So assuming that, lets also assume that the duration to get interest will be in years since that is the most commonly used duration anyway. So first, let's multiply 5000 with 0.075 to get the interest for the first year. So we will have 375. This means that we will be getting 375 interest every year. We can do trial an error method to get the number of years that will yield us to 6500. Through that, I was able to get 4 years. So 4 times 375 equals 1500 plus the original balance of 5000. It will take 4 years before your balance reaches 6500
Answer:
a.
Step-by-step explanation:
4<x because the arrow is going to the right, meaning that the value of x is greater and since the circle is hollow, it is not equal to 4 so that's why is
4<x
Answer:
(−1)(5x+2)
Step-by-step explanation:
I googled it