Answer:
<h3>
( - 1 , - 1 )</h3>
Option D is the correct option.
Step-by-step explanation:
y = - 2x - 3 → Equation ( i )
y = 3x + 2 → Equation ( ii )
Using elimination method
y + 2x = - 3
y - 3x = 2
---------------------
5x = - 5
Divide both sides of the equation by 5

Calculate

Again, Putting the value of x in equation ( ii ) in order t get the value of y

plug the value of x

Any expression multiplied by ( - 1 ) equals it's opposite

Calculate

Therefore, The possible solution of the system is the ordered pair ( x , y )

-----------------------------------------------------------------------
Check if the given ordered pair is the solution of the system of equation


Simplify the equation


Since all the equalities are true, the ordered pair is the solution of the system.
<h3>
( x , y ) = ( - 1 , - 1 )</h3>
Hope this helps..
Best regards!!
Answer:
3) y = 50 * 2¹²ˣ
2) y = 80 * 2⁸ˣ
Step-by-step explanation:
1 day = 24 hours
Number of 2-hour periods in 1 day = 24 ÷ 2 = 12
Number of 3-hour periods in 1 day = 24 ÷ 3 = 8
Colby's experiment:
y = 50 * 2¹²ˣ
Jaquan's experiment:
y = 80 * 2⁸ˣ
Write the numbers in order first,
4, 6, 8, 9, 11, 12, 13
Middle number in sequence is the median, in this case median is 9.
Answer:
The minimum score required for an A grade is 88.
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 problem, we have that:

Find the minimum score required for an A grade.
Top 12%, which is at least the 100-12 = 88th percentile, which is the value of X when Z has a pvalue of 0.88. So it is X when Z = 1.175.




Rounding to the nearest whole number
The minimum score required for an A grade is 88.
What’s the question here?