Consider the continuous random variable x, which has a uniform distribution over the interval from 20 to 28. The probability density function has what value in the interval between 20 and 28?a. 1.000 b. 0c. 0.125 d. 0.050

The probability density function is f(x)=0.125.

Step-by-step explanation:

We have he continuous random variable x, which has a uniform distribution over the interval from 20 to 28. We calculate the probability density function has what value in the interval between 20 and 28.  

We use the formula:

We have a=20 and b=28, we get

The probability density function is f(x)=0.125.

the correct answer is 5 6 and 7

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