The average score is 500 points and the standard deviation is 50 points.Mean - 2 SD = 500 - 2 * 50 = 500 - 100 = 400It means that more than 400 on the standardized test is more than: Mean - 2 Standard deviations.For the Normal distribution: 100% - 2.5 % = 97.5% = 0.975.Answer: The probability that student scores more than 400 points is 0.975.
Answer:
The equation is;
y = 12x-41
Step-by-step explanation:
Mathematically;
slope intercept form is;
y = mx + b
where m is slope and b is intercept
Since we already have the slope , the equation is;
y = 12x + b
To get b which is the y intercept, we simply substitute the value of the points given
Thus;
19 = 5(12) + b
19 = 60+ b
b = 19-60
b = -41
So the equation is;
y = 12x - 41
Ava's sister paid a 4.5% annual interest rate
Her sister paid $54 more than she borrowed, divide that by 3 (years till she paid)
54/3 = 18
That's $18 for every year she'd had the $400 loan out, divide it by 4 to get the percentage
18/4 = 4.5/100 = 4.5%
Answer:
x = 4
Step-by-step explanation:
5x - 4 = 4x
- 5x -5x
-4 = -x
*-1 *-1
x = 4
