The mean length of a group of fish is 14.2 inches. a fish that is 41 inches long joins the group. how does this fish’s length affect the mean

The new fish's length will increase the mean length of the group of fish.

Step-by-step explanation:

We have been given that the mean length of a group of fish is 14.2 inches. A fish that is 41 inches long joins the group.

Since the mean is sum of data values divided by the number of data points, so after adding a data point greater than mean, the mean will be increased.

As mean length of the group is 14.2 inches and the length of the new fish is 41 inches, which is greater than mean, therefore, the new fish's length will increase the mean length.

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

no

step-by-step explanation: