Which function is the inverse of f(x)= 2x+3? A) f^-1(x) = -1/2 x - 3/2
B) f^-1(x) = 1/2x - 3/2
C) f^-1(x) = -2x+3
D) f^-1(x) = 2x+3

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Ответ:

denvontgekingice

19.08.2022

Mathematics

(a) The mean of the weight of the mice is 50.26 grams.

(b) The standard deviation of the weight of the mice is 14.08 grams.

Step-by-step explanation:

(a)

The mean is given as follows:

$\bar X=\frac{\sum f_{i}x_{i}}{\sum f_{i}}$

$=\frac{5026}{100}\\\\=50.26$

Thus, the mean of the weight of the mice is 50.26 grams.

(b)

Compute the standard deviation as follows:

$s=\frac{1}{\sum f_{i}-1}[\sum f_{i}x_{i}^{2}-\frac{1}{\sum f_{i}}(\sum f_{i}x_{i})^{2}]$

$=\frac{1}{100-1}[254001-\frac{1}{100}(5026)^{2}]\\\\=\frac{1}{99}\times 1394.24\\\\=14.08323\\\\\approx 14.08$

Thus, the standard deviation of the weight of the mice is 14.08 grams.

The mouse weights (in grams) of a random sample of 100 mice involved in a nutrition experiment are:

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Which function is the inverse of f(x)= 2x+3? A) f^-1(x) = -1/2 x - 3/2 B) f^-1(x) = 1/2x - 3/2 C) f^-1(x) = -2x+3 D) f^-1(x) = 2x+3