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%
Answer:
x=6
B = 20
Step-by-step explanation:
The exterior angle is equal to the sum of the opposite interior angles
55+ 3x+2 = 13x-3
Combine like terms
57+3x = 13x -3
Subtract 3x from each side
57+3x-3x = 13x-3x-3
57 = 10x-3
Add 3 to each side
57+3 = 10x-3+3
60 = 10x
Divide each side by 10
60/10 = 10x/10
6 =x
We also want angle B
B = 3x+2
3*6+2
18+2
20
Answer:
120 units²
Step-by-step explanation:
Perimeter = PS + SQ + PQ
50 = SQ + SQ + (SQ -1)
51 = 3SQ
17 = SQ
17 -1 = 16 = PQ
The midpoint of the base is one leg of the right triangle whose other leg is the height of this isosceles triangle. That height is ...
h = √(17² -(16/2)²) = √225 = 15
Then the area is ...
A = (1/2)bh = (1/2)(16)(15) = 120 . . . . . square units
Hope this helps!!!!!!!!!!
Answer:
12 is the largest one number of gift bags he can make. Each will have 4 gingerbread cookies and 5 candy canes
Step-by-step explanation:
