Step-by-step explanation:
Number of areangements = 10C4
= 10 * 9 * 8 * 7 / (1 * 2 * 3 * 4) = 210.
Evaluate:
First you calculate the exponent:

27 + 1 <span>⋅ 9 + 12
</span>Then you multiply and divide left to right: 1 <span>⋅ 9 = 9
27+ 9 + 12
Then add and subtract:
27 + 9 + 12 = 48
So the answer to this is 48.
Hope I helped :)
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Answer:
- 3 is less than - 5 is not true
Step-by-step explanation:
Numbers to the right of numbers on the number line are greater.
Numbers to the left of numbers on the number line are less
- 3 is to the right of -5 on the number line and is greater than - 5
Answer:
The null hypothesis is 
The alternate hypothesis is 
Step-by-step explanation:
The diameter of a spindle in a small motor is supposed to be 4.1 millimeters
This means that the null hypothesis is that the diameter has the supposed value, that is, 
If the spindle is either too small or too large, the motor will not work properly. The manufacturer measures the diameter in a sample of 41 spindles to determine whether the mean diameter has moved away from the required measurement.
Tests if it has moved away, that is, if the mean is different from the specified value of 4.1. So the alternate hypothesis is 
Answer:6.986
Step-by-step explanation:
To find the standard deviation of a set of data I find it easiest to make a chart. First you must find the mean of your data. In this case it is 476.85. Then you must subtract the mean from each data point, and square each number. Now you take your new set of data that has been squared and find the mean of these numbers. This is 48.8006. Lastly, take the square root of this number. In this case your standard deviation is 6.986.