Answer:
9.67 inches altogether
Step-by-step explanation:
2.91 + 6.76 = 9.67
2.91
+6.76
--------------
9.67
Angle z makes a 180° angle when added to the angle of 124° in the first image, because they are on the same side of a straight line. Just subtract 124 from 180. =56
For the second picture, angle m will be the same as angle z because of the properties involved. Find angle z using the same thought process as above, and m will equal it. =55
The sum of the angles in a triangle is 180°, that's just a property they have. You add the two angles you know, subtract them from 180, and you have x. =47
Answer:
m=18
Step-by-step explanation:
5/6m=15 multiply 5/6 on both sides
5/6m (6/5)= 15 (6/5)
m=18
Answer:
a) From the mean and 2 deviations above we have 95/2% = 47.5% of the data
b) Below one deviation from the mean we have (50-34)% =16% of the data
c) One deviation below the mean and 2 deviations above we have (47.5%) +34% = 81.5% of the data
Step-by-step explanation:
For this case we know that for a random variable X we have:
The empirical rule states that within one deviation from the mean we have 68% of the values, within 2 deviations 95% and ithin 3 deviations 99.7% of the data.
So then we want to find the % between 34 and 39. We can use the z score formula given by:
In order to calculate the deviations from the mean and replacing we got:
And from the mean and 2 deviations above we have 95/2% = 47.5% of the data
For the probability that would be less than 31.5 we find the z score:
And below one deviation from the mean we have (50-34)% =16% of the data
And for the last part between 29 and 36.5 we find the z scores and we got:
And from one deviation below the mean and 2 deviations above we have (47.5%) +34% = 81.5% of the data