Answer - D.
you basically find the equation of the line first and eliminate the wrong answers...
Strategy: before u do any of this, label your coordinates as (X1,Y1) and (X2,Y2) and u can choose any of ur points to be as x1 or x2 or y1 or y1...
basically, I'll choose (6,7) as (x1,y1) and (2,-1) as (x2,y2). SO,
First you have to find the gradient (m) of the line.
you do this by using the formula m = Y2-Y1 / X2-X1 (where '/' is division sign) ....
Put the numbers in their respective places and your gradient will be 2x. we put the x after our number to represent it as a gradient as the straight line formula is y = mx+c and you've found the m.
NOW.
use the formula Y-Y1=m(x-x1) to find the equation of the line.Again u can use any Y1 and X1 here but remember your m is 2
replace the digits and solve...Hopefully you'll get sth like this if you use the points (6,7):
Y-7 = 2(x-6) ....
y=2x-12+7...
Y=2x-5! <<<< this is your straight line equation!
Now all u gotta do is rearrange all your options into y = mx+c.
D. is incorrect as it gives us y=2x+5 and not y = 2x-5 unlike the others
Hope you get it!
They give you what you have to use on side of the paper and at the very bottom it said divide and now you use that and you will get your answer to your problem
Answer:
41.92%
Step-by-step explanation:
In table attached standard normal distribution curve is shown.
Data
mean, µ = 4.3 minutes
standard deviation, σ = 0.5 minutes
desired point, x = 5 minutes
x-axis, Z = (x - µ)/σ
The probability that calls last between 4.3 and 5.0 minutes is equivalent to find the area below the curve between Z = 0 and Z = (5 - 4.3)/0.5 = 1.4, which is 0.4192, or 41.92%
9 to the 4th power is 6561
Answer:
The area of the sector is 
Step-by-step explanation:
step 1
Find the area of complete circle
we have
substitute
step 2
Find the area of the sector
we know that
The area of complete circle subtends a central angle of 2π radians
so
using proportion
Find out the area of a sector by a central angle of 1/9 pi radians
