Answer:
(2, 13)
Step-by-step explanation:
Since they both equal y, you can equal them to each other.
8x - 3 = 2x + 9
Subtract 2x from both sides.
6x - 3 = 9
Add 3 to both sides.
6x = 12
Now divide 6 on both sides.
x = 2
Now that we have found x, we need to find y. Just plug in x to the equations.
y = 2(2) + 9
y = 4 + 9
y = 13
Now, if the next equal has the same y, then both are true.
8(2) -3 = y
16-3=y
13 = y
So therefor, both x and y are true.
The simplified form is: =4p2−18p+8
Step by Step:
(4p−2)(p−4)
=(4p+−2)(p+−4)
=(4p)(p)+(4p)(−4)+(−2)(p)+(−2)(−4)
=4p2−16p−2p+8
=4p2−18p+8
Answer:
4.65% probability that a randomly selected customer takes more than 10 minutes
Step-by-step explanation:
Problems of normally distributed samples are 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.
In this question, we have that:
Probability that a customer takes more than 10 minutes:
This is 1 subtracted by the pvalue of Z when X = 10. So
has a pvalue of 0.9535
1 - 0.9535 = 0.0465
4.65% probability that a randomly selected customer takes more than 10 minutes
Option C: There are no solutions
Explanation:
The linear equations is graphed.
We need to determine the solution of the system of equations.
The solution of the equations can be determined by finding the point of intersection of the two equations.
From the figure, it is obvious that the two equations are parallel to each other.
Also, the parallel lines have the same slope and the parallel lines never intersect.
Hence, the system consisting of parallel lines have no solution.
Therefore, the solution to the system of linear equations graphed is no solution.
Thus, Option C is the correct answer.
