Answer:
Step-by-step explanation:
Total number of balls = 3 + 2 = 5
1)
a)

b)

c)
Probability of at least one black( means BB or BW or WB)

d)
Probability of at most one black ( means WW or WB or BW)

2)
a) Probability both black without replacement

b) Probability of one black and one white

c) Probability of at least one black ( BB or BW or WB)

d) Probability of at most one black ( BW or WW or WB)

Answer:
The answer should be 960
Step-by-step explanation:
110+130+150+170+190+210
Answer: 125.80 ft
Step-by-step explanation:
Asuming the described situation is as shown in the figure below, we need to find the distance
between the kite and Jacks house, but first we need to find the
,
and then
.
How?
We will use trigonometry, especifically the trigonometric functions sine and cosine:
For
:
(1)
Where
is the opposite side to the angle and
the hypotenuse.
Isolating
:
(2)
For
:
(3)
Where
is the adjacent side to the angle.
Isolating
:
(4)
Finding
:
(5)

(6)
Now that we have found these values, we have to work with a bigger triangle, where the hypotenuse is the distance between the kite and Jack's house
and the sides are the values calculated in (4) and (6).
So, in this case we will use the <u>Pithagorean theorem</u>:
(7)
Isolating
and writing with the known values:
(8)
(9)
This is the distance between the kite and the house
Substitution would be a great approach to solving this system, because the first equation defines y as x - 10 and you can thus substitute x - 10 for y in the second equation:
2x + (x - 10) = 4
Then 3x - 10 = 4, and 3x = 14. Solving for x: x = 14/3.
Since y = x-10, subst. 14/3 for x to find y: y = 14/3 - 30/3 = -16/3
The solution is (14/3, -16/3).
A triangle is a triangle is two of the side lengths is greater than the third side.
A- (18+6= 24). (24>23). (13+6=19). (19>18). This is a triangle.
B- (13+22=35). (35>7). (22+7=29). (29>13). (13+7=20). (20<22) This is not a triangle.
C- (22+13=35). (35>8). (13+8=21). (21<8). This is not a triangle.
D- (6+18=24). (24>12). (12+6=18). (18=18) This is not a triangle.
The correct answer is A.