Answer:
Option 2: (1,0) is the correct answer
Step-by-step explanation:
Given inequality is:
y>-5x+3
In order to find which point is solution to the given inequality we'll put the point one by one in the inequality. If the point satisfies the inequality, then the point is the solution of the inequality.
Putting (0,3) in inequality

Putting (1,0) in inequality

Putting (-3,1) in inequality

Putting (-1,-2) in inequality

The inequality is true for (1,0)
Hence,
Option 2: (1,0) is the correct answer
Answer:
You can do these "in your head" like this:
50 dimes would be $5.00
Each quarter adds 15 cents.
10.25 - 55.00 = $5.25 added
Step-by-step explanation:
525/15 = 35 quarters
--> 15 dimes
==========================
or,
d + q = 50
10d + 25q = 1025
etc
Answer:
The z-score for SAT exam of junior is much small than his ACT score. This means he performed well in his ACT exam and performed poor in his SAT exam.
Step-by-step explanation:
Mean SAT scores = 1026
Standard Deviation = 209
Mean ACT score = 20.8
Standard Deviation = 4.8
We are given SAT and ACT scores of a student and we have to compare them. We cannot compare them directly so we have to Normalize them i.e. convert them into such a form that we can compare the numbers in a meaningful manner. The best way out is to convert both the values into their equivalent z-scores and then do the comparison. Comparison of equivalent z-scores will tell us which score is higher and which is lower.
The formula to calculate the z-score is:

Here, μ is the mean and σ is the standard deviation. x is the value we want to convert to z score.
z-score for junior scoring 860 in SAT exam will be:

z-score for junior scoring 16 in ACT exam will be:

The z-score for SAT exam of junior is much small than his ACT score. This means he performed well in his ACT exam and performed poor in his SAT exam.
-15 both sides and then it’s will be
5x = 13 then u divide both sides over 5 and the answer will be ( X=2.6 )