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
Annette [7]
3 years ago
6

Describe a real-world situation that can be represented by a linear relationship?

Mathematics
1 answer:
taurus [48]3 years ago
5 0
Every few days, on my way home from work, I pull into Ahmad's
Friendly Fuel and fill up my car's gas tank. 

His price has been $2.29 per gallon for almost 4 years now, and it still is. 

I don't always buy the same amount of gas, but no matter how much I buy,
my cost always fits the linear equation ...

           Cost  =  (2.29) · (number of gallons)            dollars.
You might be interested in
"Immediately after a ban on using hand-held cell phones while driving was implemented, compliance with the law was measured. A r
sergiy2304 [10]

Answer:

(a) Null Hypothesis, H_0 : p_1-p_2=0  or  p_1= p_2  

    Alternate Hypothesis, H_A : p_1-p_2\neq 0  or  p_1\neq p_2

(b) We conclude that there is a statistical difference in these two proportions measured initially and then one year later.

Step-by-step explanation:

We are given that a random sample of 1,250 drivers found that 98.9% were in compliance. A year after the implementation, compliance was again measured to see if compliance was the same (or not) as previously measured.

A different random sample of 1,100 drivers found 96.9% compliance."

<em />

<em>Let </em>p_1<em> = proportion of drivers that were in compliance initially</em>

p_2<em> = proportion of drivers that were in compliance one year later</em>

(a) <u>Null Hypothesis</u>, H_0 : p_1-p_2=0  or  p_1= p_2      {means that there is not any statistical difference in these two proportions measured initially and then one year later}

<u>Alternate Hypothesis</u>, H_A : p_1-p_2\neq 0  or  p_1\neq p_2     {means that there is a statistical difference in these two proportions measured initially and then one year later}

The test statistics that will be used here is <u>Two-sample z proportion statistics</u>;

                     T.S.  = \frac{(\hat p_1-\hat p_2)-(p_1-p_2)}{\sqrt{ \frac{\hat p_1(1-\hat p_1)}{n_1} + \frac{\hat p_2(1-\hat p_2)}{n_2}} }  ~ N(0,1)

where, \hat p_1 = sample proportion of drivers in compliance initially = 98.9%

\hat p_2 = sample proportion of drivers in compliance one year later = 96.9%

n_1 = sample of drivers initially = 1,250

n_2 = sample of drivers one year later = 1,100

(b) So, <u><em>the test statistics</em></u>  =  \frac{(0.989-0.969)-(0)}{\sqrt{ \frac{0.989(1-0.989)}{1,250} + \frac{0.969(1-0.969)}{1,100}} }  

                                           =  3.33

<u>Now, P-value of the test statistics is given by;</u>

         P-value = P(Z > 3.33) = 1 - P(Z \leq 3.33)

                                            = 1 - 0.99957 = <u>0.00043</u>

Since in the question we are not given with the level of significance so we assume it to be 5%. Now at 5% significance level, the z table gives critical values between -1.96 and 1.96 for two-tailed test.

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

Therefore, we conclude that there is a statistical difference in these two proportions measured initially and then one year later.

7 0
3 years ago
How do you do distributive property because I have a test tomorrow and it's like half my grade and I wasn't in school when they
BaLLatris [955]
Say you have the equation 5(5x+7)=155
First you multiply 5 by everything in the parenthesis so you get 25x+35=155 then subtract 35 from both sides and get 25x=120 then 120 divided by 25 equals 4.8 so x=4.8
4 0
3 years ago
Factorize a⁴-6a²-7-8x-x²​
ANEK [815]
Answer:a⁴-7-x²-6a²-8x
4 0
2 years ago
Solve your equations below and right the algebraic steps, n/12 = 10
sdas [7]
\frac{n}{12}=10

Multiply both sides of the equation by 12

\frac{n}{12}\times12=10\times12n=\text{ 120}

7 0
1 year ago
Witch expression represents the value of 5 nickels and x dimes
Setler [38]
10x+25 (expressions don't have equal signs)
4 0
3 years ago
Read 2 more answers
Other questions:
  • Two ocean beaches are being affected by erosion. The table shows the width, in feet, of each beach measured at high tide where 1
    11·1 answer
  • Notebooks cost $1.20 each. This weekend they will be on sale for $0.80. What percentage is the sale?
    15·2 answers
  • What is the answer to the problem (74x-47y)-(68x+21y)
    13·1 answer
  • Complete the proof with the statements and reasons below. Write the letter of the statement or reason in the box.
    8·1 answer
  • How can you decide which operation to use to solve a two step equation
    8·1 answer
  • How many miles is 9680 yards
    11·2 answers
  • Lindsey got 68 problems correct out of 71 questions. what percent did she get incorrect?
    8·2 answers
  • May is 2/3 of Lauren's age plus 12 years. May is 28 years old. Which equation can be used to find Lauren's age?
    12·1 answer
  • Helpppppppppp plz..............
    10·1 answer
  • Cos45*/sec30*+cosec60*​
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!