Please tell whether the order pair is a solution to the equation , please help me with #12 and show work
2 answers:
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The general term for the sequence
Given sequence is -3, 6, -9, 12, -15
We have to find the general term of sequence
The terms in the sequence are found out by using the recursive definition:
Let us use this definition to find out the terms and check if it matches our given sequence
Thus the general term is given by
Answer:
Step-by-step explanation:
We are finding the probability, which is a percentage, of each of these intervals on our standard bell curve. In order to find this percentage, we need to find the z-score that provides this percentage. To find the z-score:
which is the number in question minus the mean, all divided by the standard deviation. We're first looking for the probability that the gas mileage on a certain model of car is less than 26 mpg.
To find this z-score:
Depending upon which table you look at for the z-score determines how you will find it. The z-score that measure from the value and to the left of it is what we need. This decimal is .3085375, or 30.8538%.
Onto b., which is for the percentage of cars that have gas mileage over 34 mpg. Find the z-score, and this time, we look to the right of the value for the percentage:
and to the right of 1.5 standard deviations we will find .0668072, or 6.68072%
Then finally c., which wants the probability that the gas mileage on one of these cars is greater than 22 but less than 34 mpg. To do this we have to find the z-scores of each and then do some subtracting. First the z-scores:
The percentage of data that lies to the right of that z-score is .9331927
The z-score for the other value, 34, was already found as 1.5, having .0668072 of the data to the right of that z-score. We subtract the smaller from the larger to determine what's left in-between:
.9331972 - .0668072 = .86639, or as a percentage, 86.639% of the cars fall into this interval for gas mileage.