Here you go:
3 to five or 5 to 3
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:
24 + 40 = 8*(3 + 5)
Step-by-step explanation:
The factors of:
24: 1, 2, 3, 4, 6, 8, 12, 14
40: 1, 2, 4, 5, 8, 10, 20, 40
the prime factors:
24: 2 * 2 * 2 * 3
40: 2 * 2 * 2 * 5
The most shared factors are (2*2*2=8)
Factoring out 8 we have:
24 + 40 = 8*(3 + 5)
The fourth root? There is no simplifying to be done.
The only way to continue work on this is converting to decimal. To four places the answer is 3.3437.
If you meant to ask for the cube root, the answer is 5.
In order to find the shaded region the first thing you have to do is find the area of the two small triangles, then find the area of the big triangle. Subtract the area of the small triangles from the big one and that is the area.
Step one: 11×12=132
Step two: 132÷2= 66
Step three: 66+66=132 (because there is two small triangles with same dimensions)
Step four: 40×15=300
Step five: 300-132=168
Answer 168m^2
