-(13+1)power to 2 what is this
1 answer:
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Answer:
From the given options we can say the correct answer is d.) 6.3
Step-by-step explanation:
The waiting times at the bank are given to be normally distributed.
The mean of the waiting time is given as = 3.7 minutes
The given standard deviation is = 1.4 minutes
It is required to find the waiting time at the 97th percentile.
So we are required to find the time which can be said to be the waiting time which occurs with 97 % probability.
Let the time required be designated as y.
Therefore we can write p(X < y) = 0.97 (where 0.97 means the 97th percentile)
This is a left tailed test.
Using the formula from MSEXCEL to find y we get
y = NORMINV(0.97, 3.7, 1.4) = 6.333.
The other approach would to find the Z value corresponding to the probability value from the Z Table
The Z value for a probability of 0.97 gives us Z = 1.881 .
Therefore . Therefore y = (1.881 × 1.4) + 3.7 = 6.33
Therefore from the given options we can say the correct answer is d.) 6.3
Answer:
The largest even integer is <u>14</u>.
Step-by-step explanation:
Given:
Three times the second of three consecutive even integers is twelve less than twice the sum of the first and third integers.
Now, to find the largest even integers.
As, 2 is an even number.
Let an even integer be
So, the three consecutive even integers are:
Now, we have to add two to get next even number.
Thus, 3 times the second one of these is:
Now, the sum of the first and third ones are:
So, the twice the sum of the first and third integers is less than twelve:
Now, 3 times the second is 12 less than twice the sum of the other two:
<em>Getting the variables on one side and the number on other:</em>
<em>Dividing both sides by 2 we get:</em>
Now, the even numbers we get are:
<em>Thus, the third number is the largest number which is 14.</em>
Therefore, the largest even integer is 14.