Answer:
20
Step-by-step explanation:
To find Hypotenuse: Pythagorean Theroem
a^2+ b^2= c^2
The legs are A and B
The side that is directly across from the Right angle is C
12^2 + 16^2 =C^2
144+256=400
400 = c^2
Square root on both sides to get rid of c^2
The square root of 400 is 20
c=20
Answer:
Point form : (1,1)
Equation form : x=1 , y=1
Step-by-step explanation: Solve for the first variable in one of the equations, then substitute the result into the other equation.
Hope this helps you out! ☺
Answer:
(-3,2)
Step-by-step explanation:
1) -2x+y=8
you need to leave the Y alone on one side. Then, the term -2x goes to the other side with its opposite sign which is +.
y=8+2x
2) y=2x/(5-8)
3) 8+2x=2x/(5-8)
now, you need the x value. for that, you need to leave x alone on one side.
8+2x=2x/(-3)
8+2x=-(2/3)x
8=-(2/3)x-2x
8=-(8/3)x
8/-(8/3)=x
-3=x
4) you now have the x value. you need the y value. for that, replace the x in one of the given equations. let´s use the 1st equation.
-2x+y=8
y=8+2x
y=8+2*(-3)
y=2
result:
x= -3
y=2
She will be paid $2,240.
The equation to use for this is: A=P(1+rt)
More specifically:
A = 2000(1 + (0.02 × 6)) = 2240
A = $2,240.00
We have been given for a normal distribution the mean time it takes to walk to the bus stop is 8 minutes with a standard deviation of 2 minutes. And the mean time it takes for the bus to get to school is 20 minutes with a standard deviation of 4 minutes.
(a) Average time that it would take reach school can be obtained by adding the average times.
8+20 = 28 minutes.
(b) Standard deviation of the trip to school can be found as:

Therefore, standard deviation of the entire trip is 4.47 minutes.
(c) Let us first find z score corresponding to 30 minutes.
We need to find the probability such that 
Therefore, the required probability is 0.67.
(d) If average time to walk to school is 10 minutes, then overall average time for the trip will be 10+20 = 30 minutes.
(e) Standard deviation won't change it will remain 4.47
(f) The new probability will be:


Therefore, probability will be 0.50.