11.25 - 10.5 = 0.75
Knowing that this is the profit she makes with one share, so:
20 * 0.75 = 15
Caroline made $15 profit.
Answer: |3-(-8)|
Step-by-step explanation:
Given: Paige lives 3 miles east of her school. Diego lives 8 miles west of the school.
From the picture , the number line represents the position of the houses of the two friends such that position of Paige is 3 but position of Diego is (-8) [since east and west are opposite directions]
We know that, Distance between any two points from A to B= B-A
Since distance is a positive quantity, thus
The distance between them =
miles=11 miles
Y=-1.5x+1.5
we can see the y-intercept is at (0, 1.5).
And when the line goes to the right 1 unit, it's at (1, 0), which is going down 1.5 units, meaning the slope is -1.5x. you can check this in desmos graphic calculator and you'll see the points on the line if you want
Answer:
14). 2nd quadrant
15). 1st quadrant
Step-by-step explanation:
14).Coordinates of a point → J(-8, -12)
Coordinates of the new point J' after reflection of x-axis will follow the rule,
(x, y) → (x, -y)
Coordinates of J' → (-8, 12)
Therefore, point J' will lie in 2nd quadrant.
15). Coordinates of a point → W(-6, 7)
Rule for the rotation by 90°clockwise about the origin,
(x, y) → (y, -x)
Coordinates of point W → (-6, 7)
Following this rule,
W(-6, 7) → W'(7, 6)
Therefore, point W' will lie in the first quadrant.
Answer:
0.0537
Step-by-step explanation:
This follows a binomial distribution with : n
Number of trials 'N' = 12 ; Probability of success (difference between speakers) 'p' = 1/2 or 0.5 ; Probability of failure (no difference b/w speakers) = 1/2 or 0.5 ; No of success 'r' = 3
P (X = 3) = 
= 12C3 (0.5)^3 (0.5)^9
0.0537