Answer:
The amount of money shared is 360
Step-by-step explanation:
We are given that A certain amount of money is shared in a ratio 2:3:9.
Let x be the ratio
So, Shares of amount = 2x,3x and 9x
We are given that the difference between the first and second shares is $40
So, Shares are :
2x=2(40)=80
3x=3(40)=120
4x=4(40)=160
So,Total amount = 80+120+160=360
Hence the amount of money shared is 360
Answer:
a) 2.84% probability that he is late for his first lecture.
b) 5.112 days
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:
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, we have that:
a. Find the probability that he is late for his first lecture.
This is the probability that he takes more than 20 minutes to walk, which is 1 subtracted by the pvalue of Z when X = 20. So
has a pvalue of 0.9716
1 - 0.9716 = 0.0284
2.84% probability that he is late for his first lecture.
b. Find the number of days per year he is likely to be late for his first lecture.
Each day, 2.84% probability that he is late for his first lecture.
Out of 180
0.0284*180 = 5.112 days
Answer:
The error interval for x is:
Step-by-step explanation:
In order to determine the error interval for x, We have to get the all the number which could be rounded off to .
These number can be listed in order such as:
15.375 15.376 15.377 15.378 15.379 15.380 15.381 15.382 15.383 15.384
Therefore, the error interval for x is: