Answer:
x= - 50/9
Step-by-step explanation:
multipy both equations by 12
9x+60=10
then move the constant to the right hand side and change it's sign
9x= 10 - 60
calculate difference
9x = -50
divide both sides by 9
x= - 50/9
It will takes Horst 12 minutes to run 15 laps
Answer:
(-4,-2)
x=-4
y=-2
Step-by-step explanation:
-3x-4y=20
3(x-10y=16)=3x-30y=48
The reason I multiplied 3 to the second equation is for when we add the equations together the x will cancel out.
-3x-4y=20
+ <u>3x-30y=48</u>
-34y=68
Divide -34 from both sides.
y=-2
To find x you need to plug in -2 for y into one of the equations.
x-10y=16
x-10(-2)=16
Remember a negative times a negative equals a positive.
x+20=16
Subtract 20 from both sides.
x=-4
Hope this helps!
If not, I am sorry.
To find the y-coordinate of the vertex, simply plug the value of -b / 2a into the equation for x and solve for y.
<span>The average length of crocodiles in a swamp is 11.5 feet. if the lengths are normally distributed with a standard deviation of 1.7 feet, find the probability that a crocodile is more than 11 feet long.
solution:
To obtain P(x>11) we first need to obtain the value of the z-score:
z=(11-11.5)/1.7
thus
z=-0.2941
thus
P(x>11)=1-P(z<-0.2941)=1-0.3859=0.6141
</span>