Answer:
(x - 6)² - 17
Step-by-step explanation:
Given
x² - 12x + 19
Using the method of completing the square
add/ subtract ( half the coefficient of the x- term )² to x² - 12x
= x² + 2(- 6)x + 36 - 36 + 19
= (x - 6)² - 17
A scatter plot that has no correlation shows points that a trend line cannot be drawn through and that their is no correlation between the X values and Y values. A scatter plot with a negative correlation has a correlation between the X and y values where as X increases why decreases. A trend line with a negative slope can also be drawn on a negative correlation scatter plot.
Hope that helped or even made sense
Answer:
a) 0.0801
b) 0.1910
Step-by-step explanation:
a) probability of the event that numbers start with the digit 1 =P(1.5<X<2) =(2-1.5)/(4.8-1.5)=0.1515
Here mean =np =500*0.1515 =75.76
std deviation =(np(1-p))1/2 =8.02)
probability of the event that less than 65 of the numbers start with the digit 1=P(X<65)=P(Z<(64.5-75.76)/8.02)
=P(Z<-1.4041)=0.0801
b) probability of the event of the numbers start with the digit 3 =P(3<X<4) =(4-3)/(4.8-1.5)=0.3030
Here mean =np =500*0.3030 =151.52
std deviation =(np(1-p))1/2 =10.28
probability of the event that more than 160 of the numbers start with the digit 3=P(X>160)
=1-P(Z<(160.5-151.52)/10.28)=1-P(Z<0.8743)=1-0.8090 =0.1910
