Answer:
At least 68% of observations lie between 22 and 26 months.
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviation of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean = 24
Standard deviation = 2
22 = 24 - 2
22 is one standard deviation below the mean
26 = 24 + 2
26 is one standard deviation above the mean.
So, by the empirical rule, at least 68% of observations lie between 22 and 26 months.
triangle XBR is similar to triangle YNJ.
Similar triangles are triangles with lengths in proportion, and congruent corresponding angles. When naming a similar triangle, the letters or vertexes are listed in a certain order. For instance, angle X is the same as angle Y so those two letters have to be in the same position. In this case, they are both the first letters. Angle B is congruent to angle N and angle R is congruent to angle J so they will also have to be in corresponding positions. The side lengths are extraneous information that can be used to check, but otherwise I would just stick with angles. Hope this helps!
3b because b^2-4= 1/b. So 2/1/b= 2b b+2b = 3b
Answer:
61 degrees
Step-by-step explanation:
Since one of the sides is 102, the opposite one will be the same.
so,
102+102+95
= 299
The total is 360 degrees
360-299
= 61 degrees
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Sales in December = 10,000*15.90 = $159,000
For 5% forecast growth each month;
Sales in January = (1+0.05)*Sales in December = 1.05*159,000 = $166,950
Sales in February = (1+0.05)*Sales in January = 1.05*166,950 = $175,297.50
The company should budget for $175,297.50 sales in February.