Answer:
interquartile range=21.05
Step-by-step explanation:
3.5, 12, 19.1, 25.8, 31.8
median is 19.1
Quartile 1= (3.5+12)/2=7.75
Quartile 3=(25.8+31.8)/2=28.8
interquartile range=Q3-Q1=28.8-7.75= 21.05
The required equation is:
Answer: y<2
Step-by-step explanation:
Since we can say a functions could be added to the system without changing the solution set if after including it to the system the feasible region of entire system is not affected.
Here, the solution to the system of inequalities is,
y≤ 0.5x+2
y>3x-3
Since after ploting these two enequslties in the graph we get our feasible region.
When we include y > 2 in the system there is no solution of the system.
Therefore it affects the system.
Now when we include y < 2 in the system the solution or feasible region remain same.
Therefore it does not affect the system.
When we include y > 3 in the system there is no solution of the system.
Therefore it affects the system.
When we include line y=3 in the system then the system has no solution.
Therefore, it affects the system.
Thus, second Option is correct.
Answer: 1/13
Step-by-step explanation: There are 4 jacks in a 52 card deck.
4/52= 2/26= 1/13
Using the normal distribution, there is a 0.1587 = 15.87% probability that’s a car picked at random is traveling at more than 100 km/hr.
<h3>Normal Probability Distribution</h3>
The z-score of a measure X of a normally distributed variable with mean and standard deviation is given by:
- The z-score measures how many standard deviations the measure is above or below the mean.
- Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.
The mean and the standard deviation are given, respectively, by:
The probability that’s a car picked at random is traveling at more than 100 km/hr is <u>one subtracted by the p-value of Z when X = 100</u>, hence:
Z = 1
Z = 1 has a p-value of 0.8413.
1 - 0.8413 = 0.1587.
0.1587 = 15.87% probability that’s a car picked at random is traveling at more than 100 km/hr.
More can be learned about the normal distribution at brainly.com/question/28096232
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