What is f(x) + f(x) + f(x)?

Mathematics

1 answer:

Masteriza [31]3 years ago

3 0

Answer:

3fx

Step-by-step explanation:

f(x)+f(x)+f(x)

remove parenthesis: (a)=a

add similar elements: fx+fx+fx

=3fx

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3 years ago

Read 2 more answers

Last question was inncorrectly typed:1.A sample of students who has taken a calculus test has a mean =78.2, mode =67, median 67.

vampirchik [111]

Answer:

(A) The data set of the sample of students who has taken a calculus test is right skewed.

(B) The average of female students in the class is 66.

Step-by-step explanation:

(A)

For a left skewed distribution the Mean < Median < Mode.

For a right skewed distribution the Mean > Median > Mode.

For a symmetric distribution the Mean = Median = Mode.

Given: Mean = 78.2, Median = 67 and Mode = 67

In this case the mean of the data is more than the median and mode.

$Mean = 78.2>Median = Mode = 67$

Thus, the data set of the sample of students who has taken a calculus test is right skewed.

(B)

Total number of student ( $n$ ) = 35

Combined average ( $\mu_{c}$ ) = 70

Number of male student ( $n_{M}$ ) = 20

Average of male students ( $\mu_{M}$ ) = 73

Number of female student ( $n_{F}$ ) = 15

Average of female students = $\mu_{F}$

The formula to compute the combined average is:

$\mu_{c}=\frac{n_{M}\mu_{M}+n_{F}\mu_{F}}{n_{M}+n_{F}}$

Compute the value of $\mu_{F}$ as follows:

$\mu_{c}=\frac{n_{M}\mu_{M}+n_{F}\mu_{F}}{n_{M}+n_{F}}\\70=\frac{(20\times73)+(15\times\mu_{F})}{20+15}\\ 70\times35=1460+(15\times\mu_{F})\\\mu_{F}=\frac{2450-1460}{15} \\=66$