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
nikdorinn [45]
2 years ago
14

Sarah is researching the connection between the time students spend watching television and their performance in school. Her stu

dies indicate that there is an inverse relationship between TV time and GPA, and that a student who watched 15 hours of TV per week can be expected to have a GPA of 3.5. Find k, the constant of variation, for this relationship.
A) 0.23
B) 4.29
C) 8.1
D) 52.5
Mathematics
2 answers:
mihalych1998 [28]2 years ago
8 0

Answer: D) 52.5

Step-by-step explanation:

The equation for inverse variation between two quantities x and y is given by :-

k=yx, where k is the constant of variation, for this relationship. (1)

Given : Sarah studies indicate that there is an inverse relationship between TV time and GPA, and that a student who watched 15 hours of TV per week can be expected to have a GPA of 3.5.

Then from (1) the constant of variation is given by :-

k=15\times3.5=52.5

Hence, the required answer is option D) 52.5 .

lubasha [3.4K]2 years ago
6 0

Her studies indicate that there is an inverse relationship between TV time and GPA, and that a student who watched 15 hours of TV per week can be expected to have a GPA of 3.5

In equation form

15 = k(1/3.5)

Solve for k

K = 15 * 3.5

<span>K = 52.5 is the constant of variation</span>

You might be interested in
After some food is introduced into a petri dish containing bacteria, the number of bacteria in the dish increases
MAVERICK [17]

Answer: 0.33 seconds

Step-by-step explanation:

4 0
2 years ago
In a study of cell phone usage and brain hemispheric​ dominance, an Internet survey was​ e-mailed to 6965 subjects randomly sele
vladimir1956 [14]

The hypothesis test shows that we reject the null hypothesis and there is sufficient evidence to support the claim that the return rate is less than 20%

<h3>What is the claim that the return rate is less than 20% by using a statistical hypothesis method?</h3>

The claim that the return rate is less than 20% is p < 0.2. From the given information, we can compute our null hypothesis and alternative hypothesis as:

\mathbf{H_o :p =0.2}

\mathbf{H_i:p < 0.2}

Given that:
Sample size (n) = 6965

Sample proportion \mathbf{\hat p = \dfrac{x}{n} = \dfrac{1302}{6965} \sim0.1869}

The test statistics for this data can be computed as:

\mathbf{z = \dfrac{\hat p - p}{\sqrt{\dfrac{p(1-p)}{n}}}}

\mathbf{z = \dfrac{0.1869 -0.2}{\sqrt{\dfrac{0.2(1-0.2)}{6965}}}}

\mathbf{z = \dfrac{-0.0131}{0.0047929}}

z = -2.73

From the hypothesis testing, since the p < alternative hypothesis, then our test is a left-tailed test(one-tailed.

Hence, the p-value for the test statistics can be computed as:

P-value = P(Z ≤ z)

P-value = P(Z ≤ - 2.73)

By using the Excel function =NORMDIST (-2.73)

P-value = 0.00317

P-value ≅ 0.003

Therefore, we can conclude that since P-value is less than the significance level at ∝ = 0.01, we reject the null hypothesis and there is sufficient evidence to support the claim that the return rate is less than 20%

Learn more about hypothesis testing here:

brainly.com/question/15980493

#SPJ1

3 0
1 year ago
What equation is graphed in this figure? A- y−4=−23(x+2) B-y+2=−32(x−2) C-y−3=32(x+1) D- y+1=−23(x−3)
UkoKoshka [18]
B, -y+w=-32(x-2) is the correct answer
8 0
3 years ago
Read 2 more answers
The College Board SAT college entrance exam consists of three parts: math, writing and critical reading (The World Almanac 2012)
Wittaler [7]

Answer:

Yes, there is a difference between the population mean for the math scores and the population mean for the writing scores.

Test Statistics =   \frac{Dbar - \mu_D}{\frac{s_D}{\sqrt{n} } } follows t_n_-  _1 .

Step-by-step explanation:

We are provided with the sample data showing the math and writing scores for a sample of twelve students who took the SAT ;

Let A = Math Scores ,B = Writing Scores  and D = difference between both

So, \mu_A = Population mean for the math scores

       \mu_B = Population mean for the writing scores

 Let \mu_D = Difference between the population mean for the math scores and the population mean for the writing scores.

            <em>  Null Hypothesis, </em>H_0<em> : </em>\mu_A = \mu_B<em>     or   </em>\mu_D<em> = 0 </em>

<em>      Alternate Hypothesis, </em>H_1<em> : </em>\mu_A \neq  \mu_B<em>      or   </em>\mu_D \neq<em> 0</em>

Hence, Test Statistics used here will be;

            \frac{Dbar - \mu_D}{\frac{s_D}{\sqrt{n} } } follows t_n_-  _1    where, Dbar = Bbar - Abar

                                                               s_D = \sqrt{\frac{\sum D_i^{2}-n*(Dbar)^{2}}{n-1}}

                                                               n = 12

Student        Math scores (A)          Writing scores (B)         D = B - A

     1                      540                            474                                   -66

     2                      432                           380                                    -52  

     3                      528                           463                                    -65

     4                       574                          612                                      38

     5                       448                          420                                    -28

     6                       502                          526                                    24

     7                       480                           430                                     -50

     8                       499                           459                                   -40

     9                       610                            615                                       5

     10                      572                           541                                      -31

     11                       390                           335                                     -55

     12                      593                           613                                       20  

Now Dbar = Bbar - Abar = 489 - 514 = -25

 Bbar = \frac{\sum B_i}{n} = \frac{474+380+463+612+420+526+430+459+615+541+335+613}{12}  = 489

 Abar =  \frac{\sum A_i}{n} = \frac{540+432+528+574+448+502+480+499+610+572+390+593}{12} = 514

 ∑D_i^{2} = 22600     and  s_D = \sqrt{\frac{\sum D_i^{2}-n*(Dbar)^{2}}{n-1}} = \sqrt{\frac{22600 - 12*(-25)^{2} }{12-1} } = 37.05

So, Test statistics =   \frac{Dbar - \mu_D}{\frac{s_D}{\sqrt{n} } } follows t_n_-  _1

                            = \frac{-25 - 0}{\frac{37.05}{\sqrt{12} } } follows t_1_1   = -2.34

<em>Now at 5% level of significance our t table is giving critical values of -2.201 and 2.201 for two tail test. Since our test statistics doesn't fall between these two values as it is less than -2.201 so we have sufficient evidence to reject null hypothesis as our test statistics fall in the rejection region .</em>

Therefore, we conclude that there is a difference between the population mean for the math scores and the population mean for the writing scores.

8 0
3 years ago
The measure of an angle is 5 times as great as the measure of it's complement. Find the measure of the angle
horrorfan [7]
15 is the mesure of the angle
4 0
3 years ago
Read 2 more answers
Other questions:
  • -1 ≤ n+2 ≤ 6
    7·1 answer
  • Solve x/8+5/2+=3/2 what does x equal?
    13·1 answer
  • Casey is deciding which of two landscapers to hire. Each landscaper charges an hourly rate plus a fee for each job.
    14·2 answers
  • Problems 7-12 Simplify each expression,
    10·1 answer
  • If you help me it will be amazing I’m so confused
    13·1 answer
  • Solve the equation.<br> 8(4-x) =7x+2 <br> What does x equal <br><br> PLEASE HELP ASAP!!!!!
    13·2 answers
  • Please help me with this!!
    13·1 answer
  • Help me please.
    9·2 answers
  • The Tookesons want to trade in their station wagon on the purchase of a new station wagon. A used vehicle guide shows the averag
    9·1 answer
  • Which of the following identifies the individuals in the<br> set?
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!