A random number generator picks a number from 2 to 49 in a uniform manner. Round answers to 4 decimal places when possible. The mean of this distribution is 25.5 Correct The standard deviation is 13.5677 Correct The probability that the number will be exactly 35 is P(x = 35) = .0213 Incorrect The probability that the number will be between 8 and 27 is P(8 < x < 27) = .4043 Correct The probability that the number will be larger than 13 is P(x > 13) = .7660 Correct P(x > 11 | x < 32) = .1915 Incorrect Find the 7th percentile. 5.29 Correct Find the minimum for the lower quartile.

(x+3)(x+7)

step-by-step explanation:

the solution of the equation is 2.23 ⇒ answer b

step-by-step explanation:

* lets revise the meaning of exponential function

- the form of the exponential function is y = ab^x, where a ≠ 0, b > 0 ,  

  b ≠ 1, and x is any real number

- it has a constant base b

- it has a variable exponent x

- to solve an exponential equation, take the log or ln of both sides,  

  and solve for the variable

* lets solve the problem

∵

- the base is 7 and the exponent is x

- insert ㏑ in both sides

∴

- use the rule

∴ x ㏑(7) = ㏑(77)

- to find x divide both sides by ㏑(7)

∴

* the solution of the equation is 2.23 to the nearest 2 decimal places