Answer:
The probability that it is actually raining in Seattle is 26/27
Step-by-step explanation:
Here we have the probability that a friend is telling the truth = 2/3
The probability that a friend is telling a lie = 1/3
Therefore, if all three friends say "Yes" it is raining in Seattle, the probability that is actually raining is given by the probability that one of them is telling the truth. That is the complement that all are messing with their friend.
The probability that all are not telling the truth is;
P(All not telling the truth) = 
P(One is telling the truth) = 1 - P(All not telling the truth) = 
Therefore, the probability that it is actually raining in Seattle = 26/27.
Answer:
The vertex of the graph of f(x) = |x - 13| + 11 is (13, 11).
Step-by-step explanation:
There is something called absolute value in the given function. It means two equations will result from it.
When
the resultant equation is
- This will be the first equation
or
When
the resultant equation is
- This will be the second equation.
The intersection of these lines will give the vertex as found by solving both equations at the same time.
_________
Replacing the value of
for any one;
(first one)
(second one)
The vertex is (13, 11)
Answer:
x = 12
Step-by-step explanation:
The two angles are complementary since they form a 90 degree angle.
35+ 4x+7 = 90
Combine like terms
42 +4x = 90
Subtract 42 from each side
42-42 +4x =90-42
4x = 48
Divide each side by 4
4x/4 = 48/4
x = 12
Answer: sin
= ±
Step-by-step explanation:
We very well know that,
cos2A=1−2sin²A
⟹ sinA = ±
As required, set A =
& cos a=
,thus we get
sin
=±
∴ sin
=±
= ±
since ,360° <
<450°
,180° <
<225°
Now, we are to select the value with the correct sign. It's is obvious from the above constraints that the angle a/2 lies in the III-quadrant where 'sine' has negative value, thus the required value is negative.
hope it helped!
Answer: The cost per game is $5.5
Step-by-step explanation:
Zhang Lei spent $20.00 during his last outing at the bowling alley. There is a one time shoe rental fee of $3.50. He spent the rest of the money on bowling a number of games.
This means that amount paid for x number of games = 20 - 3.5 = $16.5
If it took Zhang Lei 45 minutes to bowl each game and he spent 2 hours and 15 minutes bowling, total time spent in minutes is 120+ 15 = 135 minutes. Therefore, the number of games is played is 135/45 = 3
If the total number of games played cost 16.5, therefore, the cost per game will be 16.5/3 = $5.5