Answer:
<h3>
x = 1/2</h3>
Step-by-step explanation:
-3x + 1 + 10x = x + 4
-1 -1
7x = x + 3
-x -x
6x = 3
÷6 ÷6
x = 1/2
Answer:
50 degrees
Step-by-step explanation:
If angle L = 65 then the top angle for the triangle LMJ has to be 25 degrees as M is a right angle (or at least has to be for this problem to be possible)
the math to figure it out is 90+65+x=180 <-- due to triangles are 180 degrees inside which simplifies to 25 after that you just have to at 25 to itself 25+25 to get 50 which is the angle of J
Answer:
The sales level that has only a 3% chance of being exceeded next year is $3.67 million.
Step-by-step explanation:
When the distribution is normal, we use the z-score formula.
In a set with mean
and standard deviation
, the zscore of a measure X is given by:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this question, we have that:
In millions of dollars,

Determine the sales level that has only a 3% chance of being exceeded next year.
This is the 100 - 3 = 97th percentile, which is X when Z has a pvalue of 0.97. So X when Z = 1.88.




The sales level that has only a 3% chance of being exceeded next year is $3.67 million.
100 is the correct answer