Answer:
<em>Answer: The point (1, 2) is not a solution to the system of equations because it does not satisfy the equation 3x + y = –2.</em>
Step-by-step explanation:
<u>System of Equations</u>
Consider the following system of equations
2x + 3y = 8 [1]
3x + y = -2 [2]
And the point (1,2). Substituting in both equations:
For equation [1]:
2*1 + 3*2 = 8
2 + 6 = 8
8 = 8
Since the equation is true, point (1,2) satisfies the equation 2x + 3y = 8
Now for equation [2]:
3*1 + 2 = -2
3 + 2 = -2
5 = -2
Since this equation is false, point (1,2) does not satisfy the equation 3x + y = -2
Answer: The point (1, 2) is not a solution to the system of equations because it does not satisfy the equation 3x + y = –2.
Answer:
C = 75 in
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using 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.
Assume that the height of all people follows a normal distribution with a mean of 69 in and a standard deviation of 2.9 in.
This means that 
Calculate the cut-off height (C) that ensures only people within the top 2.5% height bracket are allowed into the team.
This is the 100 - 2.5 = 97.5th percentile, which is X when Z has a pvalue of 0.975, so X when Z = 1.96.




Rounded to the nearest inch,
C = 75 in
Answer:
It would be True
Step-by-step explanation:
2+5x = -8
SUBTACT 2 on both sides and it would look like this:
5x = -8 - (2)
5X= -10
then DIVIDE 5 both side to get "X" ALONE,
x= -10/5
then divide -10 with 5
equal to:
x = -2
x + x + 2 + x + 4 <= 126 (where x is the first of the numbers)
3x <= 120
x <= 40
So the numbers are 40 , 42 and 44.