Answer:
49% probability that Mitchell will be a goalie today
Step-by-step explanation:
If Coach White coaches, the probability of being goalie is 0.55.
Coach White has a 70% probability of coaching.
If Coach Jackson coaches, the probability of being goalie is 0.35.
Coach Jackson has a 100-70 = 30% probability of coaching.
What is the probability that Mitchell will be a goalie today?
This is 55% of 70% plus 35% of 30%
Then
P = 0.55*0.7 + 0.35*0.3 = 0.49
49% probability that Mitchell will be a goalie today
Answer:
see explanation
Step-by-step explanation:
The sum of the 3 angles in the triangle = 180°
Sum the 3 angles and equate to 180
31 + x + 4 + 3x + 9 = 180, that is
4x + 44 = 180 ( subtract 44 from both sides )
4x = 136 ( divide both sides by 4 )
x = 34
Thus
∠ S = x + 4 = 34 + 4 = 38°
∠ T = 3x + 9 = 3(34) + 9 = 102 + 9 = 111°
Answer:
(c) 714.96 = 21.6(w +4.7)
Step-by-step explanation:
The area of the rectangular park will be the product of its length and width. This relation is used to write an equation to find the original width of the park.
<h3>Width</h3>
Let w represent the original width of the park in meters. The new width is 4.7 meters more, so is represented by (w +4.7).
<h3>Other dimensions</h3>
The length of the park is given as 21.6 meters. The area is given as 714.96 square meters.
<h3>Area formula</h3>
The various dimensions of the park are related by the area formula:
A = LW
714.96 = 21.6(w +4.7)
3:4 = 6:8 = 9:12 = 12:16 = 15:20 = 18:24