1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Svetradugi [14.3K]
3 years ago
7

What is the range of the function f (x)=3.2x for the domain (-4, -2, 0, 2, 4)?

Mathematics
2 answers:
Aneli [31]3 years ago
7 0
So we don't have to multiply each domain, we just need to find the lowest and highest domain and put it into the equation (since we're just multiplying)
-4 and 4 are the lowest and highest.
3.2×-4=-12.8; this means that when 4 is put into the equation, it will be 12.8 since they're opposites.
So, the range is -12.8 to 12.8.
exis [7]3 years ago
6 0

Answer: Hello there!

The function is f(x) = 3.2*x and we want to know the range of this function for the domain (-4, -2, 0 , 2, 4)

First we need to evaluate f(x) in the points of the domain, and this give us the pairs:

(-4, 3.2*-4) = (-4, -12.8)

(-2, 3.2*-2) = (2, -6.4)

(0, 3.0) = (0,0)

(2, 3.2*2) = (2, 6.4)

(4, 3.2*4) = (4, 12.8)

The range is the codomain or image of the function, then the range of f(x) for the given domain is:

(-12.8, -6.4, 0, 6.4, 12.8)

You might be interested in
A television station plans to ask a random sample of 400 city residents if they can name the news anchor on the evening news at
hodyreva [135]

Answer:

There is an 8.38% probability that the anchor will be fired.

Step-by-step explanation:

For each resident, there is only two possible outcomes. Either they can name the news anchor on the evening news at their station, or they cannot.

This means that the binomial probability distribution will be used in our solution.

However, we are working with samples that are considerably big. So i am going to aaproximate this binomial distribution to the normal.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

E(X) = np

The standard deviation of the binomial distribution is:

\sqrt{V(X)} = \sqrt{np(1-p)}

Normal probability distribution

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

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

The Z-score 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. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that \mu = E(X), \sigma = \sqrt{V(X)}.

In this problem, we have that:

400 city residents are going to be asked. So n = 400.

Suppose that in fact 12% of city residents could name the anchor if asked. This means that p = 0.12.

So,

\mu = E(X) = 400*0.12 = 48

\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{400*0.12*0.88} = 6.5.

They plan to fire the news anchor if fewer than 10% of the residents in the sample can do so.

What is the approximate probability that the anchor will be fired?

10% of the residents is 0.10*400 = 40 residents.

Fewer than 10% is 39 residents. So the probability that the anchor will be fired is the pvalue of Z when X = 39.

So:

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

Z = \frac{39 - 48}{6.5}

Z = -1.38

Z = -1.38 has a pvalue of 0.0838. This means that there is an 8.38% probability that the anchor will be fired.

5 0
4 years ago
The population of the world in 1987 was 5 billion and the annual growth rate was estimated at 2 percent per year. Assuming that
Vinvika [58]

Answer:

Population in 1998 year = 6.22 billion

Step-by-step explanation:

Given:-

- The population in year 1987, Po = 5 billion

- Growth rate, r = 2%

- World population follows an exponential growth model

Find:-

The projected world population in 1998.

Solution:-

- The exponential growth model is mathematically expressed as:

            Population in x year = Po* ( 1 + r/100)^( x - xo )

Where,   xo: The base year.

- Plug in the values and solve for the projected population in year 1998:

            Population in 1998 year = 5,000,000,000* ( 1 + 2/100)^( 1998 - 1987 )

            Population in 1998 year = 5,000,000,000* ( 1 + 0.02)^( 11 )

                                                     = 5,000,000,000* ( 1.02 )^( 11 )

                                                     = 6.22 billion                                

8 0
3 years ago
Read 2 more answers
Question 6 of 15
joja [24]

Answer:

D

Step-by-step explanation:

1200( {1.025}^{5} ) = 1357.69

5 0
2 years ago
Jody's team scored 21, 25, 36, 16, and 32 points at the last five football games. What is the mean number of points Jody's team
Serjik [45]
The mean is 25. Hope I helped!
8 0
3 years ago
Read 2 more answers
Monty buys hats in bulk to sell at his store. His cost for each hat is $17. He marks up the hats 45%. What is retail price per h
Ray Of Light [21]

Answer:

I think it's $24.65

Step-by-step explanation:

45% of $17 is $7.65.

17 + 7.65 = 24.65

4 0
3 years ago
Other questions:
  • Mike has 4 black marbles tom has 2 black marbles how many black marbles do they have in all​
    14·1 answer
  • Sam and Bethan share £54 in the ratio 5:4 Work out how much each person gets
    12·1 answer
  • When x = 5, the value of the expression
    8·1 answer
  • Change your money from dollars to british pounds.you got 560 pounds for 800 dollars.how many pounds will you get for 300 dollars
    15·1 answer
  • Triangle ABC is an equilateral triangle with side lengths of 10 inches.
    13·2 answers
  • Number 25 please help
    14·1 answer
  • Bob wants to hike a total of 45 miles on his vacation.
    15·2 answers
  • WILL GIVE BRAINLIEST AND 20 POINTS! Which function is the inverse of f(x) = -5x -4?
    15·2 answers
  • the Georgia aquarium in Atlanta is about 2.63*10^3 inches long, 1.26*10^2 inches wide, and 3*10^1 inches deep at it's largest po
    9·1 answer
  • What is the solution to the system of equations graphed below?
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!