Answer:
(A)
Step-by-step explanation:
From the diagram attached:
Angle 1 and Angle 6 are Co-Interior Angles.
The sum of co-interior angle is 180 degrees.
Therefore:
The measure of angle 1 is therefore 56.5 degrees.
The correct option is A.
Chance of winning $100 = 1/1000
<span>chance of winning $50 = 5/1000 = 1/200 </span>
<span>cost of ticket = -1 </span>
<span>E[x] = 100* 1/1000 + 50* 1/200 -1 </span>
<span>= 0.1 + 0.25 - 1 = -0.65
Hope this helps</span>
Answer:
Quite simple. There are 52 weeks in a year. She gets paid 26 times, every other week.
38,350 / 26 = her salary from last year per check.
46,462 / 26 = her new salary per check
(46,462 - 38,350) / 26 = the difference per week
2 3/4 acres is the same as 11/4 acres
To find how much of the land is beans, find how much is already taken up, and the rest is beans.
Farmland-Corn-Potatoes-Wheat=Beans
1-(1/4)-(1/12)-(5/8)=1/24
Corn: (1/4)x(11/4)=11/16 acres
Potatoes: (1/12)x(11/4)=11/48 acres
Wheat: (5/8)x(11/4)=55/32 acres or 1 23/32 acres
<span>Beans: (1/24)x(11/4)=11/96 acres</span>
Answer:
A. y + 1 = -2(x-2)
Step-by-step explanation:
point-slope equation is : y - y1 = m (x -x1)
remember m= slope value
the given point is (2, -1) therefore we can substitute the values in:
y + 1 = m(x -2)
now to make sure our answer is complete we will solve for the slope:
looking back at the graph, the y-intercept value is 3, therefore we have a point of (0,3) and (2, -1)
with any two points you can determine a slope.
y2 - y1 / x2 - x1
therefore :
-1 -3 / 2 - 0
-4 / 2 = -2
therefore our m value is -2
this makes the completed point-slope equation:
y + 1 = -2 (x - 2) or A
