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:

Step-by-step explanation:
Solve for the value of
:

-Take
and subtract it from
:


-Subtract both sides and convert
to a fraction:


Since both
and
have the same denominator, then you would subtract the numerator:


-Multiply both sides by
, which is the reciprocal of
:



-Divide
by
:


So, therefore, the value of
is
.
Number 3.
opens up
vertex (1,2)
idk maybe because it is on the right side. its positive
number 4.
opens up as well
Vertex (-2,0)
no because it is negative and on the left. Idk just a guess for this one
Answer:
A. x = 7
B. x = -3
Step-by-step explanation:
A. 5/x = 30/42
5/x = 5/7
5 = 5/7 x
5= 5x/7
5 x 7 = 5x
35 = 5x
35/5 = x
7 = x
x = 7
B. x/8 = -12/32
x/8 = -3/8
x = - 3/8 x 8
x = - 24/8
x = -3
Hope this helps you have a gr8 day :3