Answer:
see the attachment for the graph
Step-by-step explanation:
The radius can be computed from the distance formula:
d = √((x2-x1)^2 +(y2-y1)^2)
d = √((7-5)^2 +(2-5)^2) = √(4+9) = √13
d ≈ 3.6056
The radius of the circle is √13, about 3.6056 units.
Answer:
0.0512
Step-by-step explanation:
Probability of making a correct guess ; p = 1 / 5 = 0.2
q = 1 - p = 1 - 0.2 = 0.8
Number of questions, n = 5
Using the binomial probability relation :
P(x = x) = nCx * p^x * q^(n-x)
P(x = 3) = 5C3 * 0.2^3 * 0.8^2
P(x = 3) = 0.0512
Answer:
1445
Step-by-step explanation:
Answer:
1
Step-by-step explanation:
Probability is given by number of possible outcomes ÷ number of total outcomes
Assuming we stop rolling the six-sided die once our sum is 290 ( exceeds 285)
Number of possible outcomes = 75, number of total outcomes = 290
Probability (75 rolls are needed to get this sum) = 75/290 = 0.259
Probability (more than 75 rolls are needed to get this sum) = 1 - 0.259 = 0.741
Probability (at least 75 rolls are needed to get this sum) means that either 75 rolls or more than 75 rolls are needed to get this sum = 0.259 + 0.741 = 1