<span>a. True
The question is pretty much the entire definition of a radian. For an unit circle, its entire circumference is 2π and the entire circle has 2π radians. A quarter circle, or 90°, or π/2 radians, have 1/4th of the circumference. And 2π/4 is π/2. This natural relationship is WHY higher mathematics uses radians for the measurement of angles rather than arbitrary units such as degrees.</span>
A study finds that out of every 400 babies born in the world, 28 have some kind of major birth defect. The simplest way to assign random numbers to conduct a simulation based on this statistic is to use 00-06 (7%) to indicate the babies with birth defects.
<h3>What is the rationale for the above?</h3>
Note that the total number of births is: 400
Total number of defective babies = 28
Hence, the fraction or ratio of this is:
28/400
= 7/100
= 7%.
This also means that 07-99 (93%) will represent the babies without birth defects.
Learn more about statistics:
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4x = 7(x-3)
1. Distribute that multiplicand 7: 4x = 7x - 21
2. Group the x terms together: Subtract 4x from both sides: 0 = 3x - 21
3. Solve for x: Add 21 to both sides: 21 = 3x
4. Divide both sides by 3 to obtain x = 7 (answer)
Step-by-step explanation:
change the unit
50 km per 1 hour
50 km/h = 50,000 m/ 3600 s = 13.8 m/s
the lorry speed is 13.5 m/s or 0.3 m slower than the limit
