We need to 'standardise' the value of X = 14.4 by first calculating the z-score then look up on the z-table for the p-value (which is the probability)
The formula for z-score:
z = (X-μ) ÷ σ
Where
X = 14.4
μ = the average mean = 18
σ = the standard deviation = 1.2
Substitute these value into the formula
z-score = (14.4 - 18) ÷ 1..2 = -3
We are looking to find P(Z < -3)
The table attached conveniently gives us the value of P(Z < -3) but if you only have the table that read p-value to the left of positive z, then the trick is to do:
1 - P(Z<3)
From the table
P(Z < -3) = 0.0013
The probability of the runners have times less than 14.4 secs is 0.0013 = 0.13%
The answer would be -12 I used the app photomath
Answer:
y - 5 = 1/4 (x - (-1))
Step-by-step explanation:
Since we have a parallelogram, then WX and YZ must be parallel
mathematically, the general equation of a straight line is;
y = mx + b
where m is the slope and b is the y-intercept
if two lines are parallel, the value of their slopes is same
for the first line, we have;
y = 1/4x - 6
The slope of the first line is 1/4
this is the slope of the second line too
By using;
y-y1 = m(x-x1)
where (x1,y1) is the point on the line
we have;
y - 5 = 1/4 (x - (-1))
I think 1,784 is the surface area. But not sure
Answer:


Step-by-step explanation:
Domain is the set of all x values.
Range is the set of all y - values.
{ ( - 2 , 0 ) , ( 1 , -2 ) , ( 3 , 4 )}
Domain = { -2 , 1 , 3 }
{ ( -2 , 0 ) , ( 1 , -2 ) , ( 3 , 4 )}
Range = { - 2 , 0 , 4 }
Hope I helped!
Best regards! :D