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SOVA2 [1]
3 years ago
7

Find the inverse of each function. f(n)=n+4/2

Mathematics
1 answer:
Ipatiy [6.2K]3 years ago
3 0

Step-by-step explanation:

f(n) =  \frac{ n +4}{2}  \\ let \: f(n)  = y  \implies \: n =  {f}^{ - 1}(y) \\  \therefore \: y = \frac{ n +4}{2}   \\  \\ \therefore \:2 y = n +4 \\  \\ \therefore \:2 y  - 4= n  \\ \therefore \:n  = 2y - 4 \\  \\ \therefore \:  {f}^{ - 1}(y)   = 2y - 4 \\  \\  \red{ \boxed{\bold{\therefore \:  {f}^{ - 1}(n)   = 2n- 4} }}

(Replacing y by n)

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There is a 5% sales tax on clothing at your favorite store you've gone shopping 4 times how much tax did you pay each time ?
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All you have to do is the amount she bought divided by 0.05 and then add the answer you get to the amount she bought each time
8 0
2 years ago
The ages of the people who came to a birthday party are shown below. Which statements must be true according to the histogram? C
spayn [35]
From the histogram it can be seen that
1.) the data is not qualitative. (<span>Qualitative data is typically descriptive <span>data and is not measured by a number but age is measured by a number).
2.) </span></span><span>The data is not skewed right. (</span><span>For a right skewed distribution, the tail of the distribution on the right hand (positive) side is longer than on the left hand side).
3.) </span><span>There were 31 people at the party. (The total number of people at the party from the histogram is given by the sum of the heights of the bars of the histogram = 5 + 13 + 8 + 3 + 2 = 31).
4.) </span><span>There were children at the party. (From the histogram, there were 5 poeple aged 20 and below, which we can describe as children).
5.) </span><span>The most common age of the attendees was not 13 years old. (The mode (i.e. most occuring frequency) of a distribution is represented by the height of the tallest bar of the histogram. From the histogram, the tallest bar represents the ages between 21 to 40)
6.) </span><span>The majority of the people at the party were less than 61 years old. (From the histogram, there were 5 + 13 + 8 = 26 people below the age of 61 in the party and 3 + 2 = 5 people above the age of 60 in the party).

Therefore, the </span><span>statements that must be true according to the histogram are
</span><span>There were 31 people at the party.
</span><span>There were children at the party.
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5 0
2 years ago
Read 2 more answers
The function. In the graph is f(x) =
Tanya [424]

Answer:

x^3-2x^2-5x+6

Step-by-step explanation:

We have been given a graph of the function f(x).

Now we need to use that graph to find the equation of the graph and match with the correct choice from the give choices:

x^4-2x^2+5x+6

x^3-2x^2-5x+6

x^3-2x^2+5x+6

-x^4-2x^2+5x+6

We see that graph has end points in opposite direction then the degree of polynomial must be ODD.

Available degrees are 3 and 4. Degree 3 is odd so it is choice B or C.

Only x^3-2x^2-5x+6 satisfies the given points from graph.

Hence correct choice is x^3-2x^2-5x+6.

4 0
3 years ago
The area of Jackson's rectangular garden is 64 square ft. If the length of the garden is 16 ft, what is the width of the garden?
MatroZZZ [7]
The width of the garden is 4
6 0
3 years ago
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The Pearson product-moment correlation coefficient Group of answer choices is called the Pearson c. is used when both variables
Alekssandra [29.7K]

Answer:

provides information about the strength of a relationship

Step-by-step explanation:

A numerical measure of strength in the linear relationship between any two variables is called the Pearson's product moment correlation coefficient.

The co efficient of correlation is a pure number denoted by r , independent of the units in which the variables are measured that can range from+1 to -1 .

The sign of r indicates the direction of the cor relation.

When r= 0 it does not mean that there is no relationship . For example if the observed values lie exactly on a circle , there is a relationship between variables but r = 0  as r only measure linear cor relation.

The 2nd statement given is the correct answer.

It is not related to ordinal or nominal properties and it does show direction.

6 0
2 years ago
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