The given question describes a right triangle with with one of the angles as 20 degrees and the side adjacent to the angle 20 degrees is of length 5,000 feet. We are looking for the length of the side opposite the angle 20 degrees.
Let the required length be x, then
Therefore, the height of the airplane above the tower is 1,819.85 feet.
The value of the variable x in the equation –x + 8 + 3x = x – 6 is - 14.
<h3>How to find variable in an equation?</h3>
The variables of an equation can be found as follows:
–x + 8 + 3x = x – 6
The variable in the equation is x.
Therefore,
–x + 8 + 3x = x – 6
combine like terms on the left side
-x + 3x + 8 = x - 6
2x + 8 = x - 6
subtract x form both sides of the equation
2x - x + 8 = - 6
x + 8 = -6
subtract 8 from both sides
x = -6 - 8
x = - 14
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Answer:
A. -1.6; not significant
Step-by-step explanation:
The z-score of a data set that is normally distributed with a mean of 
and a standard deviation of 
, is given by:
.
From the question, the test score is: 
, the mean is 
, and the standard deviation is 
.
We just have to plug these values into the above formula to obtain:
.
This simplifies to: 
.
.
We can see that the z-score falls within two standard deviations of the mean.
Since 
the value is not significant.
The correct answer is A. -1.6; not significant
Answer:
n =2
Step-by-step explanation:
2=-9n+22-n
2 = -10n +22
-20 = -10n
n = 2
Answer:
I believe the answer you want would be 40 and 7
