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3 years ago

If f(x) = 2x and g(x) = 5x + 2, what is (f ÷ g)(x) when x = 3

Mathematics

1 answer:

anygoal [31]3 years ago

3 0

Answer:

$= \frac{2x}{5x + 2} \\ = \frac{2 \times 3}{5 \times 3 + 2} \\ = \frac{3}{17}$

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(23.01) In a randomized comparative experiment on the effect of dietary calcium on blood pressure, researchers divided 58 health

Paul [167]

Answer:

$113.7-2.154\frac{9.1}{\sqrt{29}}=110.06$

$113.7+2.154\frac{9.1}{\sqrt{29}}=117.34$

And the 96% confidence is given by (110.06; 117.34)

Step-by-step explanation:

Information given

$\bar X=113.7$ represent the sample mean

$\mu$ population mean (variable of interest)

s=9.1 represent the sample standard deviation

n=29 represent the sample size

Confidence interval

The confidence interval for the mean is given by the following formula:

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

The degrees of freedom are given by:

$df=n-1=29-1=28$

The Confidence is 0.96 or 96%, the significance is $\alpha=0.04$ and $\alpha/2 =0.02$ , and the critical value would be $t_{\alpha/2}=2.154$

Replacing the info we got:

$113.7-2.154\frac{9.1}{\sqrt{29}}=110.06$

$113.7+2.154\frac{9.1}{\sqrt{29}}=117.34$

And the 96% confidence is given by (110.06; 117.34)

5 0

3 years ago

The mapping diagram shows a functional relationship

Gre4nikov [31]

Answer:

$f(4)=\frac{1}{2}$

f(x) = 4 when x is 8

Step-by-step explanation:

Domain is the set of x values that make the function defined. Allowed x values for the function (mapping).

The Range is the set of y values that make the function defined. Allowed y values for the function (mapping).

Whenever we need to find f(a), suppose, then we look for "a" in the domain and see its corresponding value mapping in the range.
Whenever we will be given a value for f(x) = a, suppose, and we have to find "x", we look at the value a in the range and find corresponding x value in the domain.

Firstly, we need f(4), so we look for "4" in domain and see which number it corresponds to in range.

That is $\frac{1}{2}$

Thus,

$f(4)=\frac{1}{2}$

Next,

We want "x" value that gives us a "y" value of 4. We look for "4" in the range and see which value it corresponds to. That is "8". So,

f(8) = 4

8 0

3 years ago

When x = 4, the value of 2x0 + x! is

Romashka [77]

4!= 4*3*2*1

Therefore,

2x0+x!= 0+x! = 0+4!

4*3*2*1 = 24 (#1)

4 0

3 years ago

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Which set of ordered pairs is a function?

DochEvi [55]

A function is a set of ordered pairs in which no two different ordered pairs have the same x -coordinate. An equation that produces such a set of ordered pairs defines a function. What is the catch? There can be at most one output for every input.

4 0

3 years ago

Sam is practicing long track speed skating at an ice skating rink The distance around the rink and 250 yards has skated around t

Vladimir [108]

There are 1760 yards in one mile and the rink is 250 yard in perimeter.

This means 3 miles is 5280 yards.

If Sam has already gone around the whole rink 6 times, that means he was traveled a total of 1500 yards.

Sam has 3780 more yards to travel 3 miles.

This means he needs to do 15.12 more laps around the rink. Or 16 if you are rounding.

Hope this helps! :)

3 0

3 years ago

Read 2 more answers