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1 year ago

Which of the following are important when representing functions? (Select all that apply.)

Mathematics

1 answer:

malfutka [58]1 year ago

7 0

The statement that are important when representing functions are:

It is important to explain what your variable represents and to include units.

Functions may depend on more than one variable.

<h3>What is are functions?</h3>

A function can be described as the relation between a set of inputs that have one output each. it help to display the relationship between inputs in a case whereby each input is related to exactly one output.

We can denote the function by f(x) where x is the input.

Learn more about function at:

brainly.com/question/1415456

#SPJ1

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If I can walk 9673.6 meters in 5 hours. How far can I walk in 70 minutes. ( I need the work)

den301095 [7]

First, convert 5 hours into minutes:

5 hours 60 min

------------ * --------------- = 300 min

1 1 hr

Next, find the unit rate in m/min:

9673.6 m

--------------- = 32.24 m/min

300 min

Now find the distance you can walk in 70 minutes at this rate:

32.24 m

------------- * 70 min = 2247 meters (answer)

1 min

You could walk 2247 meters (to the nearest meter) in 70 minutes.

6 0

3 years ago

Solve for the following equation step by step and justify your steps when using an exponential property.

mel-nik [20]

x = $\frac{5}{7}$

using the ' laws of exponents '

• $a^{m}$ × $a^{n}$ = $a^{( m + n )}$

• $a^{m}$ ÷ $a^{n}$ = $a^{(m - n)}$

• ( $a^{m}$ )^n = $a^{mn}$

$7^{2}$ × $7^{3}$ = $7^{5}$ ÷ $7^{3x}$ = $7^{5 - 3x}$

$7^{4x}$ = $7^{5 - 3x}$

equating the exponents since bases on both sides are 7

4x = 5 - 3x

7x = 5 ⇒ x = $\frac{5}{7}$

4 0

2 years ago

The USA Today reports that the average expenditure on Valentine's Day is $100.89. Do male and female consumers differ in the amo

Aloiza [94]

Answer:

$a)\ \ \bar x_m-\bar x_f=67.03\\\\b)\ \ E=15.7416\\\\c)\ \ CI=[51.2884, \ 82.7716]$

Step-by-step explanation:

a. -Given that:

$n_m=41\ , \ \sigma_m=33, \bar x_m=135.67\\\\n_f=37. \ \ ,\sigma_f=20, \ \ \bar x_f=68.64$

#The point estimator of the difference between the population mean expenditure for males and the population mean expenditure for females is calculated as:

$\bar x_m-\bar x_f\\\\\therefore \bigtriangleup\bar x=135.67-68.64\\\\=67.03$

Hence, the pointer is estimator 67.03

b. The standard error of the point estimator, $\bar x_m-\bar x_f$ is calculated by the following following:

$\sigma_{\bar x_m-\bar x_f}=\sqrt{\frac{\sigma_m^2}{n_m}+\frac{\sigma_f^2}{n_f}}$

-And the margin of error, E at a 99% confidence can be calculated as:

$E=z_{\alpha/2}\times \sigma_{\bar x_m-\bar x_f}\\\\\\=z_{0.005}\times\sqrt{\frac{\sigma_m^2}{n_m}+\frac{\sigma_f^2}{n_f}}\\\\\\=2.575\times \sqrt{\frac{33^2}{41}+\frac{20^2}{37}}\\\\\\=15.7416$

Hence, the margin of error is 15.7416

c. The estimator confidence interval is calculated using the following formula:

$\bar x_m-\bar x_f\ \pm z_{\alpha/2}\sqrt{\frac{\sigma_m^2}{n_m}+\frac{\sigma_f^2}{n_f}}$

#We substitute to solve for the confidence interval using the standard deviation and sample size values in a above:

$CI=\bar x_m-\bar x_f\ \pm z_{\alpha/2}\sqrt{\frac{\sigma_m^2}{n_m}+\frac{\sigma_f^2}{n_f}}\\\\=(135.67-68.64)\pm 15.7416\\\\=67.03\pm 15.7416\\\\=[51.2884, \ 82.7716]$