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Elan Coil [88]
3 years ago
7

According to the empirical rule, 68% of 7-year-old children are between ___ inches and ___ inches tall.

Mathematics
2 answers:
AveGali [126]3 years ago
8 0

Using the empirical rule 68% would fall within one standard deviation of the mean.

The standard deviation is given as 2 inches and the mean is 49 inches.

Since it is only one standard deviation find the lower number by subtracting the standard deviation from the mean and find the higher number by adding the standard deviation to the mean.

49 - 2 = 47

49 + 2 = 51


68% would be between 47 inches and 51 inches tall.

Zepler [3.9K]3 years ago
4 0

Answer:

47 inches and 51 inches tall

Step-by-step explanation:


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Quadrilateral ABCD ​ is inscribed in a circle.
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The meaning of a quadrilateral inscribed in a circle is that the angles on the opposite vertices are supplementary or in other words equals to 180 degrees.

In this exercise it is asked you to find the measure in degrees of angle A. First of all, you have to find the value of x. To do this you have to select two angles on this case angles A and C.

m<A+m<C=180          Substitute the values of angles A and C
2x+9+3x+1=180          Combine like terms       
        5x+10=180          Subtract in both sides by 10                           
              5x=170          Divide in both sides by 5 to isolate x               
                x= 34

Now that the value of x is known, you can substitute it into the expression representing angle A.

m<A=2x+9
m<A=2(34)+9
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The measure of angle A is 77 degrees.
 



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