Answer:
0.26 and 0.577
Step-by-step explanation:
Given :
x :___0 ___ 1 ____ 2 ____ 3
f(x):_0.80 _0.15__0.04 __0.01
The mean :
E(X) = Σ(x * p(x))
E(X) = (0*0.8) + (1*0.15) + (2*0.04) + (3*0.01)
E(X) = 0 + 0.15 + 0.08 + 0.03
E(X) = 0.26
Var(X) = Σx²*p(x)) - E(x)²
Σx²*p(x)) = (0^2*0.8) + (1^2*0.15) + (2^2*0.04) + (3^2*0.01) = 0.4
Σx²*p(x)) - E(x)² = 0.4 - 0.26² = 0.3324
Std(X) = √0.334 = 0.577
Answer: The mechanic worked for 4.25 hours for the fourth customer.
First find out the slope.
Y^2-y^1/x^2-x^1
210-90/3-1=60
Slope: 60
Then find out what the y-intercept is by plugging in values we know into y=mx+b
90=60(1)+b
30=b
Y=60x+30
Substitute the y with 285 to find out the x (hours)
285=60x+30
4.25=x
It helps to draw a picture so you can see which trig ratios to use but...
310 is the hypotenuse of the ski slope and the side length across from the angle you’re looking for is 220, the vertical drop.
You can use sin to find theta.
sinx= 220/310
sinx=0.70967...
x = sin inverse of 0.70967....
x = 45°
Answer:
no
Step-by-step explanation:
Answer:
a. (2,5)
b. (14,15.5)
Step-by-step explanation:
a.
y=4x-3
y=-2x+9
Set both equations equal to each other to solve for x.
4x-3=-2x+9
6x=12
x=2
Plug in x to solve for y.
y=4x-3
y=4(2)-3
y=8-3
y=5
(2,5)
b.
y=(5/4x)-2
y=(-1/4x)+19
Set both equations equal to each other to solve for x.
(5/4x)-2=(-1/4x)+19
4((5/4x)-2=(-1/4x)+19)
5x-8=-x+76
6x=84
x=14
Plug in x to solve for y.
y=(5/4x)-2
y=(5/4(14))-2
y=17.5-2
y=15.5
(14,15.5)