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
kykrilka [37]
3 years ago
15

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

Mathematics
1 answer:
arsen [322]3 years ago
5 0
The range are all the possible solutions for y. Since the domain is given, these are all the possible x values. To find the range, we can simply substitute each of these x values to the given function <span>f(x) = 3.2x.
</span>
<span>Given the domain, we use this to find the range values,
Domain: {-4, -2, 0, 2, 4}
</span>Range: {-12.8, -6.4, 0, 6.4, 12.8}
You might be interested in
Calculate the amount and the compound interest on Rs 12.000 in 2 years at 10%
mel-nik [20]

Answer:

Amount = p( 1+r/100) ^n

= 12000 ( 1+10/100) ²

= 12000( 10/10+1/10) ²

= 12000( 11/10) ²

= 12000 x 11/10 x 11/10

= 14520 rs.

Compund interest = amount - principal

= 14520 - 12000

= 2520rs.

Next question :- no of men can complete a piece of work in 7 days = 36

No of men can complete a piece of work in 42 day = ( 36 x 7 ) ÷ 42

= 252 ÷ 42

= 6 men

5 0
2 years ago
What is 5(-3.4k-7)+(3k+21)​
Zina [86]

Answer: -14k - 14

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
Use a map to plan a trip in the United States.Find the number of miles between your current location and your destination, and d
ElenaW [278]

Answer:

292.5 miles per day

Step-by-step explanation:

The map shows it is 1170 miles from my school to Wall, South Dakota, a place well-advertised in the Midwest. If I want to take 4 days to get there, the required division is ...

... (1170 mi)/(4 da) = 292.5 mi/da

6 0
3 years ago
Write this expression in simplified terms. <br> 3×√3×6×√6
Andrej [43]

Answer:

54√2

Step-by-step explanation:

4 0
2 years ago
CCN and ActMedia provided a television channel targeted to individuals waiting in supermarket checkout lines. The channel showed
tatyana61 [14]

Answer:

(a) Null Hypothesis, H_0 : \mu = 8 minutes    

    Alternate Hypothesis, H_A : \mu \neq 8 minutes

(b) The P-value of the test statistics is 0.0436.

(c) We conclude that the actual mean waiting time equals the standard at 0.05 significance level.

(d) 95% confidence interval for the population mean is [7.93 minutes , 9.07 minutes].

Step-by-step explanation:

We are given that the length of the program was based on the assumption that the population mean time a shopper stands in a supermarket checkout line is 8 minutes.

A sample of 120 shoppers showed a sample mean waiting time of 8.5 minutes. Assume a population standard deviation of 3.2 minutes.

<u><em>Let </em></u>\mu<u><em> = actual mean waiting time.</em></u>

(a) So, Null Hypothesis, H_0 : \mu = 8 minutes     {means that the actual mean waiting time does not differs from the standard}

Alternate Hypothesis, H_A : \mu \neq 8 minutes     {means that the actual mean waiting time differs from the standard}

The test statistics that would be used here <u>One-sample z test statistics</u> as we know about the population standard deviation;

                        T.S. =  \frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }  ~ N(0,1)

where, \bar X = sample mean waiting time = 8.5 minutes

            \sigma = population standard deviation = 3.2 minutes

            n = sample of shoppers = 120

So, <u><em>test statistics</em></u>  =  \frac{8.5-8}{\frac{3.2}{\sqrt{120} } }  

                               =  1.71

The value of t test statistics is 1.71.

(b) Now, the P-value of the test statistics is given by;

                    P-value = P(Z > 1.71) = 1 - P(Z \leq 1.71)

                                  = 1 - 0.9564 = 0.0436

(c) Now, at 0.05 significance level the z table gives critical values of -1.96 and 1.96 for two-tailed test.

<em>Since our test statistics lies within the range of critical values of z, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which </em><u><em>we fail to reject our null hypothesis</em></u><em>.</em>

Therefore, we conclude that the actual mean waiting time equals the standard.

(d) Now, the pivotal quantity for 95% confidence interval for the population mean is given by;

                        P.Q. = \frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }  ~ N(0,1)

where, \bar X = sample mean waiting time = 8.5 minutes

            \sigma = population standard deviation = 3.2 minutes

            n = sample of shoppers = 120

            \mu = population mean

<em>Here for constructing 95% confidence interval we have used One-sample z test statistics as we know about population standard deviation.</em>

<u>So, 95% confidence interval for the population proportion, </u>\mu<u> is ;</u>

P(-1.96 < N(0,1) < 1.96) = 0.95  {As the critical value of z at 2.5% level

                                             of significance are -1.96 & 1.96}  

P(-1.96 < \frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } } < 1.96) = 0.95

P( -1.96 \times {\frac{\sigma}{\sqrt{n} } } < {\bar X-\mu} < 1.96 \times {\frac{\sigma}{\sqrt{n} } } ) = 0.95

P( \bar X-1.96 \times{\frac{\sigma}{\sqrt{n} } } < \mu < \bar X+1.96 \times{\frac{\sigma}{\sqrt{n} } } ) = 0.95

<u>95% confidence interval for</u> \mu = [ \bar X-1.96 \times{\frac{\sigma}{\sqrt{n} } } , \bar X+1.96 \times{\frac{\sigma}{\sqrt{n} } } ]

  = [ 8.5-1.96 \times{\frac{3.2}{\sqrt{120} } } , 8.5+1.96 \times{\frac{3.2}{\sqrt{120} } } ]

  = [7.93 minutes , 9.07 minutes]

Therefore, 95% confidence interval for the population mean is [7.93 minutes , 9.07 minutes].

Yes, it support our above conclusion.

3 0
3 years ago
Other questions:
  • The vertices of figure EFGH have coordinates E(1, 3), F(2, 5), G(4, 4) , and H(3, 3) . The vertices of figure E'F'G'H' have coor
    15·1 answer
  • Help, I need the bottom three answered and I'm sorta stuck on four too. Not sure if it's right
    14·1 answer
  • Express in decimal notation. 1.56 × 10^−4
    13·2 answers
  • Please help me with this
    11·1 answer
  • Find the slope of each line.
    13·1 answer
  • What is the determinant of the coefficient matrix of the system {4x+3y+2z=0 -3x+y+5z=0 -x-4y+3z=0
    10·1 answer
  • Explain how knowing 50 x 4 = 200 helps you find 500 x 400.
    12·2 answers
  • Blank - 5.27 = 2.99<br> literally forgot how decimals work
    8·2 answers
  • An awards dinner costs $225 plus $5 for each person making reservations the total bill is $735 how many people attended the dinn
    14·1 answer
  • What is the name of each of the two blue points in the hyperbola below?
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!