Consider this quote: "in a recent survey, 61 out of 100 consumers reported that they preferred plastic bags instead of paper bags for their groceries. if there is no difference in the proportions who prefer each type in the population, the chance of such extreme results in a sample of this size is about .03. because .03 is less than .05, we can conclude that there is a statistically significant difference in preference." give a numerical value for each of the following. a. the p-value. b. the level of significance,α
c. the sample proportion. d. the sample size. e. the null value.

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

idk u tell me

step-by-step explanation:

idk