Elena loves to go fishing. Each time she catches a fish, there is a 70\%70%70, percent chance that it is a northern pike and a 30\%30%30, percent chance it is a walleye. Let XXX be the random variable that represents the number of northern pike Elena gets if she catches 222 fish. X=\# \text{ of pike}X=# of pikeX, equals, \#, start text, space, o, f, space, p, i, k, e, end text 000 111 222
P(X)P(X)P, left parenthesis, X, right parenthesis 0.090.090, point, 09 0.420.420, point, 42 0.490.490, point, 49
Find the expected value of the number of northern pike Elena catches.
E(X)=

something that characterises a right triangle is the fact that we may use pythagoras' theorem to find any one of its sides given that we have the length of the other two sides. here, we have the length of the hypotenuse, √(87) yd, and one other side, √(23) yd, thus we can easily find the length of the remaining side using pythagoras' theorem as defined below:

c^2 = a^2 + b^2, where c is the length of the hypotenuse, and a and b are the lengths of the other two sides.

thus, given that c = √(87) and a = √(23), we may substitute these into the formula we defined above to get:

c^2 = a^2 + b^2

(√87)^2 = (√23)^2 + b^2 (substitute c = √87 and a = √23 into the equation)

87 = 23 + b^2 (evaluate (√87)^2 = 87 and (√23)^2 = 23 - remember that the square root of a number, squared will equal that very same number)

64 = b^2 (subtract 23 from both sides)

√64 = b (take the square root of both sides)

8 = b (evaluate √64 = 8)

therefor, the length of the unknown leg in the right triangle is 8 yd (first answer).

what golf ball

step-by-step explanation:

sine

step-by-step explanation: