Answer:
The point slope form is: (y - 5) = 6/11(x - 7)
Step-by-step explanation:
Giving points are: (7, 5) and (-4, -1)
Find the slope m:
m = (y - y1)/(x - x1)
m = (5 - (-1))/(7 - (-4))
m = 5 + 1/7+ 4
m = 6 / 11 = 6/11
Use the point slope form with point (7, 5) and solve for y:
(y - y1) = (x - x1)
(y - 5) = 6/11(x - 7) - this is the point slope form
y - 5 = 6/11x - 42/11
y = 6/11x - 42/11 + 5
y = 6/11x - 42/11 + 55/11
y = 6/11x + 13/11 - This is the y intercept form
Proof, use (7, 5):
f(x) = 6/11x + 13/11
f(7) = 6/11(7) + 13/11
= 42/11 + 13/11
= 55/11 = 5, giving (7, 5)
Answer:
Step-by-step explanation:
First you have to find the slope
M= y2-y1/ x2-x1.
6-4 / 8-7 = 2/1 or 2
Then you pick one set of coordinates and plug the information into the formula. It doesn't matter which set you use as long as you plug the information in correctly.
I will choose (6,4)
Slope intercept formula is y-y1 =m(x-x1)
Y-4=2(x-6)
Then you simplify.
Y-4=2x-12
+4. +4
Y=2x-8 is your solution.
It would be 27/50
54/2 = 27
100/2 = 50
Answer:
a. The percentage of vehicles who pass through this construction zone who are exceeding the posted speed limit =90.82%
b. Percentage of vehicles travel through this construction zone with speeds between 50 mph and 55 mph= 2.28%
Step-by-step explanation:
We have to find
a) P(X>40)= 1- P(x=40)
Using the z statistic
Here
x= 40 mph
u= 44mph
σ= 3 mph
z=(40-44)/3=-1.33
From the z-table -1.67 = 0.9082
a) P(X>40)=
Probability exceeding the speed limit = 0.9082 = 90.82%
b) P(50<X<55)
Now
z1 = (50-44)/3 = 2
z2 = (55-44)/3= 3.67
Area for z>3.59 is almost equal to 1
From the z- table we get
P(55 < X < 60) = P((50-44)/3 < z < (55-44)/3)
= P(2 < z < 3.67)
= P(z<3.67) - P(z<2)
= 1 - 0.9772
= 0.0228
or 2.28%
Answer:
3,080 in³
Step-by-step explanation:
To find the volume you use the formula
Length*Width*Height= Volume
So,
14*11*20 = 3080
and you unit will be cubed because volume is cubed!
