Answer:
4<x<6
Step-by-step explanation:
4 is smaller than x
and x is samller than 6
so its 5
Answer:
y=2x-5
Step-by-step explanation:
Slope is rise over run, or y/x
The points given were (0,-5) and (-1,-3)
Using y2-y1/x2-x1 we can find the slope.
-3-(-5)/-1-0 = 2/-1 = -2 = slope
Next, we have to find the y-intercept. The y-intercept is where the point on the line meets the y-axis.
This point is shown at -5.
Now, putting our information into y=mx+b (slope-intercept form)
y=2x-5
2 is our slope
-5 is our y intercept
Answer:
a) 0.3246
b) 0.0043
Step-by-step explanation:
- For player 1 ; Probability of winning = P(W) = 1/3
- Probability of loosing; P(winning) + P( Loosing) = 1
a) To find Find P(N <= 10) = P(2)+P(3)+P(4)+P(5)+P(6)+P(7)+P(8)+P(9)+P(10)
= (1/3)^2 + (1/3)^2 x 2/3 + (1/3)^2 x (2/3)^2 + (1/3)^2x (2/3)^3 + (1/3)^2 x (2/3)^4
X (1/3)^2 x (2/3)^5 + (1/3)^2 x (2/3)^6 + (1/3)^2 x (2/3)^7 + (1/3)^2 x (2/3)^8
= 0.3246
b) Find P(N = 10) = (1/3)^2 x (2/3)^8 = 0.0043
Answer:
≈ 6.16
Step-by-step explanation:
Calculate the distance (d) using the distance formula
d = √ (x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = C(5, - 5) and (x₂, y₂ ) = D(7, 3)
d = √ (7 - 5)² + (3 + 5)²
= √ 2² + 8² = √ 4 + 64 = √68 ≈ 6.16 ( to 2 dec. places )
