Answer:
x=51.9
Step-by-step explanation:
sin x = 7.4/9.4
sin x= 0.787
sin^-1(0.787)=x
x=51.9
Answer:
x = 74°
Step-by-step explanation:
The diagram shown in this question, is a Quadrilateral inscribed in a circle
It is important to note that
The sum of opposite angles in a Quadrilateral = 180°
93° + z = 180°
z = 180° - 93°
z = 87°
In a cyclic quadrilateral,
Intercepted angle = 1/2(Intercepted arc)
Intercepted angle = 93°
Intercepted arc = x + 112°
Hence,
93° = 1/2(x + 112)°
93° × 2 = x + 112°
186° = x + 112°
x = 186° - 112°
x = 74°
Answer:
Step-by-step explanation:
What is the probability that when two cards are drawn from a deck of cards without
replacement that both of them will be 8’s?
(ℎ 8
′
) = ( 8) ∙ ( 8)
( 8) =
4
52
There are three 8’s left in the deck if one is pulled and not replaced, and 51 total
cards remaining.
( 8) =
3
51
(ℎ 8
′
) =
4
52 ∙
3
51 =
12
2652 =
1
221 = .0045 .45%
Answer:
Step-by-step explanation:
Given that a fair coin is flipped twelve times.
It means the number of possible sequences of heads and tails would be:
2¹² = 4096
We can determine the number of ways that such a sequence could contain exactly 9 tails is the number of ways of choosing 9 out of 12, using the formula
Plug in n = 12 and r = 9
∵ 
∵ 
Thus, the probability will be:
Thus, the probability of the coin landing tails up exactly nine times will be:
