#5 = 53° #7 = 125° #6 = 55° #2 = 72° #3 = 55° #1 = 53° #4 = 127°
triangle = 180°
alternating interior angles are the same (#6 & #3 and #5 and #1)
#3 and #7 should equal 180°
#1 and #4 should also equal 180°
#6 and #7 should equal 180°
#4 and #5 should equal 180°
Answer:
5/9
12
Step-by-step explanation:
La clase entera es 1.
1/3 estudian español.
1/9 estudian italiano.
1 - 1/3 - 1/9 estudian alemán.
1 - 1/3 - 1/9 = 9/9 - 3/9 - 1/9 = 5/9
<em>5/9 de los estudiantes estudian alemán.</em>
n = numero total de estudiantes en la clase.
5/9 n = 15
9/5 * 5/9 * n = 15 * 9/5
n = 27
Hay 27 estudiantes en la clase.
27 - 15 = 12
<em>12 estudiantes no estudian alemán.</em>
Answer:
a : c = 6 : 5
Step-by-step explanation:
Expressing the ratios in fractional form, then
= 
× 
× 
= 
× 
× 
= 
= 
Thus a : c = 6 : 5
The new mean and standard deviation is 26 and 15, when each score in data set is multiplied by 5 and then 7 is added.
According to the question,
Original mean is 10 and original standard deviation is 5 . In order to find to new mean and standard deviation when each score in data set is multiplied by 5 and then 7 is added.
First "change of scale" when every score in a data set is multiplied by a constant, its mean and standard deviation is multiplied by a same constant.
Mean: 10*3 = 30
Standard deviation: 5*3 = 15
Secondly "change of origin" when every score in a data set by a constant, its mean get added or subtracted by the same constant and standard deviation remains constant.
Applying change of origin in the above mean and standard deviation
Mean: 30 - 4 = 26
Standard deviation: Remains same = 15
Hence, the new mean and standard deviation is 26 and 15, when each score in data set is multiplied by 5 and then 7 is added.
Learn more about Mean and standard deviation here
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Jacob is correct in thinking that because the mean represents the average of several quantities
