Answer:
48
Step-by-step explanation:
The 156° angle will help you in this problem.
On the opposite side, you have to find the number that equals to 180°
So that'll be: <em>180° - 156° </em>
This will equal 24°
Now you have 2 angles inside the triangle, 108° and 24°
Add those 2 numbers: <em>108° + 24°</em>
This will equal 132°
All triangles must equal to 180°
So you subtract: <em>180° - 132°</em>
Which will equal 48°.
Answer:
M = 27 degrees
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
sin M = opp side/ hypotenuse
Sin M = 5/11
Take the inverse sin of each side
sin ^-1 sin M = sin ^1 (5/11)
M = 27.03569179
To the nearest degree
M = 27 degrees
If you divide the area from the length your answer is the height of the triangle.
The total cost is 455.26.
First, you do the math of the students and the chaperones. Students were $387 and the chaperones was $50.75.
Then, add. You get $437.75.
Now, add that 4% fee. That was $17.51
In all, it's $455.26.
Answer:
0.0433
Step-by-step explanation:
Since we have a fixed number of trials (N = 25) and the probability of getting heads is always p = 0.05, we are going to treat this as a binomial distribution.
Using a binomial probability calculator, we find that the probability of obtaining heads from 8 to 17 times is 0.9567 given that the con is fair. The probability of obtaining any other value given that the coin is fair is going to be:
1 - 0.9567 = 0.0433
Since we are going to conclude that the coin is baised if either x<8 or x>17, the probability of judging the coin to be baised when it is actually fair is 4.33%
