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3 years ago

What is the definition of function? Discuss the different ways of representing a function with examples of your own.

1 answer:

7 0

Function is a relation between sets that associates to every element of a first set exactly one element of the second set.

-Finding Input and Output Values of a Function.

-Evaluating Functions Expressed in Formulas.

-Evaluating a Function Given in Tabular Form.

-Finding Function Values from a Graph.

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A grocery store sells fruit by the pound. The table shows the costs for raspberries and strawberries, where I represents the wei

Anika [276]

Answer:

2 pounds Raspberry costs - 9.50. I pound Raspberry cost> 9.50 =4.75 2 ki 1 pound. Strawberries cost = 3.22. cost of Raspberry Jafrost of Strawberry). = 4.75.3.22 f. 53. Raspberry cost $ 1.53 more than strawberries.

Step-by-step explanation:

4 0

3 years ago

The heights of adult males in the United States are approximately normally distributed. The mean height is 70 inches (5 feet 10

steposvetlana [31]

Using the normal distribution, it is found that the probability is 0.16.

<h3>Normal Probability Distribution</h3>

In a normal distribution with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

It measures how many standard deviations the measure is from the mean.

After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.

In this problem, the mean and the standard deviation are given by, respectively, $\mu = 70, \sigma = 3$ .

The proportion of students between 45 and 67 inches is the p-value of Z when <u>X = 67 subtracted by the p-value of Z when X = 45</u>, hence:

X = 67:

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{67 - 70}{3}$

Z = -1

Z = -1 has a p-value of 0.16.

X = 45:

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{45 - 70}{3}$

Z = -8.3

Z = -8.3 has a p-value of 0.

0.16 - 0 = 0.16

The probability is 0.16.

More can be learned about the normal distribution at brainly.com/question/24663213

3 0

2 years ago

If f(x)=7x-7 what is f(8)+f(4)

NARA [144]

<u>Given Function is</u>

f ( x ) = 7x - 7 ------- eqn ( 1 )

<u>Now , put the value of x = 8 in eqn ( 1 )</u>

f ( 8 ) = 7 ( 8 ) - 7
f ( 8 ) = 56 - 7
f ( 8 ) = 49 ------- eqn ( 2 )

<u>Now , put the value of x = 4 in eqn ( 1 )</u>

f ( 4 ) = 7 ( 4 ) - 7
f ( 4 ) = 28 - 7
f ( 4 ) = 21 ------- eqn ( 3 )

<h3 />

f ( 8 ) + f ( 4 )
49 + 21
70

Hope Helps! :)

7 0

3 years ago

What is the volume of the composite figure? (Round to the nearest hundredth. Use 3.14 for Pi.)

Natasha2012 [34]

The volume of composite figure is 385.17 cubic centimeters, if a half sphere and cone have a radius of 4 centimeters and height of 15 centimeters.

Step-by-step explanation:

The given is,

Composite figure is combination of a half sphere and cone

Both have a radius of 4 centimeters

The cone has a height of 15 centimeters

Step:1

Volume of composite figure = Volume of half sphere + Volume of cone

Step:2

Formula for volume of semi sphere,

$Volume of half sphere, V_{Half sphere} = \frac{2}{3} \pi r^{3}$

Where, r - Radius of Half sphere,

From given, r = 4 centimeters

$V_{Half sphere} = \frac{2}{3} \pi 4^{3}$

$= (0.6667) (3.14) (64)$ (∵ $\pi$ = 3.14 )

$V_{Half sphere}$ = 133.9733 cubic centimeters

Formula for volume of cone,

$Volume of cone, V_{cone} = \frac{1}{3} \pi r^{2} h$

where, r - Radius of cone

h - Height of cone

From given,

r = 4 centimeters

h = 15 centimeters

Volume of cone,

$V_{cone} = \frac{1}{3} \pi 4^{2}(15)$

$= (0.333333) (3.14)(16)(15)$ (∵ $\pi$ = 3.14 )

$V_{cone}$ $= 251.1997$ cubic centimeters

Step:3

Volume of composite figure = 133.9733 + 251.1997

Volume of composite figure = 385.17 cubic centimeters

Result:

The volume of composite figure is 385.17 cubic centimeters, if a half sphere and cone have a radius of 4 centimeters and height of 15 centimeters.

4 0

3 years ago

Read 2 more answers

Alexandra deposited $1,000 in

allochka39001 [22]

$~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\\ P=\textit{original amount deposited}\dotfill & \$1000\\ r=rate\to 3.5\%\to \frac{3.5}{100}\dotfill &0.035\\ t=years\dotfill &5 \end{cases} \\\\\\ I = (1000)(0.035)(5)\implies I=175$

4 0

2 years ago