Answer:
y= -0.5 x +3
Step-by-step explanation:
at x=0 , y=3
at x=2 , y=2
y= ax+b
b=3
2=2a+3
2a= -1
a= - 0.5
then
y= -0.5 x +3
f(x) = 3x³ + 3x² - 6x
given the factors of the polynomial , then
f(x) =ax(x - 1)(x + 2) ( a is a multiplier )
to find a use f(2) = 24
f(2) = 2a(1)(4) = 24 ⇒8a = 24 ⇒ a = 3, thus
f(x) = 3x(x² + x - 2) = 3x³ + 3x² - 6x
Absolute value is the distance from a value to zero. In this case, it'd be written as | -282 |. If x = | -282 |, then x = 282
Let x represent the scores. With mean and standard deviation given,
The Empirical rule states that
1) About 68% of the x values lie between 1 standard deviation below and above the mean
2) About 95% of the x values lie between 2 standard deviation below and above the mean
3) About 99.7% of the x values lie between 3 standard deviation below and above the mean
If we consider this rule, then the percentage of scores that fall within 3 standard deviation (-3 to +3) is 99% because this is closer to 99.7%
