Answer:
Expected pay winning $50= $0.585
Expected pay winning $25= $2.36
Expected pay for anything else= $-4.35
Expected returns=3.59
Expected value for one play= $(-1.41)
Do not play this game because you will lose $1.41
Step-by-step explanation:
Probability P(3 hearts) = (13/52)×(12/51)×(11/50) = 0.013
Probability P(3black)= (26/52)×(24/51)×(23/50) = 0.118
Probability P(drawing anything else)= 1 - 0.013 - 0.118= 0.869
Expected pay($50)= 0.013$(50-5)= $ 0.585
Expected pay($25)= 0.118(25-5)$ = $2.36
Expected pay for anything else= 0.869(0-5)$ =$(-4.347)
Expected value of one play=$ (0.585 + 2.353 -4.347) = -$1.41
c) Do not play the game.
Answer:
Step-by-step explanation:
Delivery fee = $7.50
Price per pizza = $14
Planned amount = $60
7.50 + 14p < 60
Subtract 7.50 from both sides
14p < 60 - 7.50
14p < 52.50
Divide both sides by 14
p < 52.50 / 14
p < 3.75
Each pizza is cut into 8 slices
Total slices she can afford = 3.75 × 8
= 30 slices
Answer:
B is 50° and C is 130°
Step-by-step explanation:
complementary angle
x+x=90°
40°+x=90°
x=90°-40°
x=50°
supplementary angles
x+x=180
50+x=180
x=180-50
x=30°
Answer:
Orthographic Projection is used for making the projects but Isometric Projection is used to have better understanding of the object.
Orthographic drawings are typically two dimensional views of an object. For instance, if you were designing a table, you would draw a top view, side view and a bottom view. Should these three views not fully explain the design of the table other views would need to be drawn. When drawing an perspective view in an orthographic manner, you would utilize a 45 degree triangle for the lines that extend back or forward from the vertical lines. This type of perspective is not a true perspective because you can measure the true length of all the details shown. An isometric drawing is meant to depict a 3D image of an object in what appears to be a perspective view. However, similar to an orthographic perspective, all of the lines in an isometric drawing can be measured to their true length. What makes it different from an orthographic perspective is that its angled lines are drawn at 30 or 60 degrees or divisions of them. Drawing this by hand you would use a 30/60/90 triangle.
In either case, both types of perspectives can be accurately measured with a ruler in order to know the objects measurements.
Step-by-step explanation:
15u + 11u - 9d - 19d = -2d
It went up 26, down 28, a net change of down 2.
