Answer:
Choice C
Step-by-step explanation:
Using the Pythagorean theorem, you can find that the length of the hypotenuse is:

Hope this helps!
Answer:
0.15866.
Step-by-step explanation:
We have been given that on average, electricians earn approximately μ= $54,000 per year in the united states. Assume that the distribution for electricians' yearly earnings is normally distributed and that the standard deviation is σ= $12,000. We are asked to find the probability that the sample mean is greater than $66,000.
First of all, we will find the z-score corresponding to 66,000 using z-score formula.




Now, we need to find the probability that z-score is greater than 1 that is
.
Upon using formula
, we will get:

Upon using normal distribution table, we will get:


Therefore, the probability that the sample mean is greater than $66,000 would be 0.15866 or approximately
.
Answer:
Between 67 and 103 beats per minute
Step-by-step explanation:
The minimum would be 80. That means that the minimum sum would have to be 320 among the four numbers.
85+81+87=253
320-253=67 so 67 will be the minimum
now, we should see the maximum. It will be 89 so the sum of the four numbers cannot be anymore than 89*4 which is 356
So, 356-253=103