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
Ilia_Sergeevich [38]
2 years ago
11

Find the constant of proportionality r in the equation y = rx

Mathematics
2 answers:
Marina CMI [18]2 years ago
7 0

Answer:

r = \frac{1}{5}

Step-by-step explanation:

Given x and y are proportional and

y = rx ← r is the constant of proportionality

To find r use any ordered pair from the table

Using x = 15, y = 3, then

r = \frac{y}{x} = \frac{3}{15} = \frac{1}{5}

Zepler [3.9K]2 years ago
5 0

The constant of proportionality is 1/5

Also flexing on us with that 5G

You might be interested in
Two different types of polishing solutions are being evaluated for possible use in a tumble-polish operation for manufacturing i
Nina [5.8K]

Answer:

z=\frac{0.843-0.653}{\sqrt{0.748(1-0.748)(\frac{1}{300}+\frac{1}{300})}}=5.358    

p_v =2*P(Z>5.358) = 4.2x10^{-8}  

Comparing the p value with the significance level given \alpha=0.05 we see that p_v so we can conclude that we have enough evidence to reject the null hypothesis, and we can say that we have singificantly differences between the two proportions.  

Step-by-step explanation:

Data given and notation  

X_{1}=253 represent the number with no defects in sample 1

X_{2}=196 represent the number with no defects in sample 1

n_{1}=300 sample 1

n_{2}=300 sample 2

p_{1}=\frac{253}{300}=0.843 represent the proportion of number with no defects in sample 1

p_{2}=\frac{196}{300}=0.653 represent the proportion of number with no defects in sample 2

z would represent the statistic (variable of interest)  

p_v represent the value for the test (variable of interest)  

\alpha=0.05 significance level given

Concepts and formulas to use  

We need to conduct a hypothesis in order to check if is there is a difference in the the two proportions, the system of hypothesis would be:  

Null hypothesis:p_{1} - p_2}=0  

Alternative hypothesis:p_{1} - p_{2} \neq 0  

We need to apply a z test to compare proportions, and the statistic is given by:  

z=\frac{p_{1}-p_{2}}{\sqrt{\hat p (1-\hat p)(\frac{1}{n_{1}}+\frac{1}{n_{2}})}}   (1)  

Where \hat p=\frac{X_{1}+X_{2}}{n_{1}+n_{2}}=\frac{253+196}{300+300}=0.748  

z-test: Is used to compare group means. Is one of the most common tests and is used to determine whether the means of two groups are equal to each other.  

Calculate the statistic  

Replacing in formula (1) the values obtained we got this:  

z=\frac{0.843-0.653}{\sqrt{0.748(1-0.748)(\frac{1}{300}+\frac{1}{300})}}=5.358    

Statistical decision

Since is a two sided test the p value would be:  

p_v =2*P(Z>5.358) = 4.2x10^{-8}  

Comparing the p value with the significance level given \alpha=0.05 we see that p_v so we can conclude that we have enough evidence to reject the null hypothesis, and we can say that we have singificantly differences between the two proportions.  

5 0
3 years ago
What is the y-intercept in the equation y = 4x-3?​
timofeeve [1]

Answer:

-3

Step-by-step explanation:

y = mx + b

b is the y-intercept

5 0
2 years ago
Read 2 more answers
Someone help ASAP please !! I’ll vote Brainliest !
alukav5142 [94]

Answer:

<u>2nd row</u>

Step-by-step explanation:

The y-intercept corresponds to the ordered pair having an x-value of 0. The second row of the table has an x-value of 0, and y-value of 2. Therefore, the y-intercept is (0, 2).

6 0
1 year ago
OMG PLZZZZZZ HELP ME I REALLY NEED HELP :'( EVERYONE WHO HELPS ME GETS IT WRONG PLZZZ HELP ME IM BEGGING YOU
saveliy_v [14]

Answer:

1st Picture: d = -16

2nd Picture: g = -13.8

Step-by-step explanation:

1st Picture: Divide both sides by -11 to balance both sides and get the answer.

2nd Picture: Subtract 1.2 from both sides.

8 0
2 years ago
Read 2 more answers
I did not do as good as I hoped on my math model :(
pochemuha
I’m sorry! I hope you do better next time.
8 0
3 years ago
Read 2 more answers
Other questions:
  • Which is true about the product of 3/8 and 7/2. 1.The product is less than 3/8. 2.The product is greater than 1/8 and less that
    11·1 answer
  • Suppose that a function does have an inverse. The graph of its inverse will be the reflection of the graph of the function over
    7·2 answers
  • 9-9÷9+9-9÷9=??????<br><br><br> 25 points <br><br><br> and brainits for the first right answer
    5·2 answers
  • At midnight, the temperature in a city was 5 degrees Celsius. The temperature was dropping at a steady rate of 2 degrees Celsius
    6·1 answer
  • Anyone a fan of Heathers? If so, wanna be friends?
    11·1 answer
  • The fraction 13/16 is closest to which benchmark?
    15·1 answer
  • Which graph is a function of x?
    13·1 answer
  • Find a, b, and c.
    9·1 answer
  • Simplify -(6x + 22) - 8(3 - x)​
    12·2 answers
  • (-6) +5 can you help me get the answer I don't get it
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!