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VashaNatasha [74]
3 years ago
13

How many triangles exist with the given angle measures? 30 degrees, 65 degrees, 85 degrees No triangle exists with the given ang

le measures. More than one triangle exists with the given angle measures. One and only one triangle exists with the given angle measures.
Mathematics
1 answer:
bekas [8.4K]3 years ago
8 0
One specific triangle CAN be made with those angles because of the 180 degree total.
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What is the standard deviation of the following data set rounded to the nearest tenth? 56 ,78 ,123 , 34, 67, 91, 20
quester [9]

Answer:

The standard deviation of the following data set is 32.2

Step-by-step explanation:

step 1

Find the mean

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[56,78,123,34,67,9,20]

Sum the data and divided by the number of elements

[56+78+123+34+67+91+20]/7=469/7=67

step 2

For each number: subtract the Mean and square the result

[(56-67)^{2},(78-67)^{2},(123-67)^{2},(34-67)^{2},(67-67)^{2},(91-67)^{2},(20-67)^{2}]

[121,121,3,136,1,089,0,576,2,209]

step 3

Work out the mean of those squared differences

[121+121+3,136+1,089+0+576+2,209]/7=1,036

This value is called the "Variance"    

step 4

Take the square root of the variance

standard\ deviation=\sqrt{1,036}=32.2

6 0
3 years ago
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