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
Neko [114]
3 years ago
12

Which equation is the direct variation equation if f(x) varies directly with x and f(x)=-2 when x=6

Mathematics
1 answer:
Agata [3.3K]3 years ago
7 0

Answer:

f(x)=-x/3

Step-by-step explanation

Given f is a direct variation equation (Direct variation is when one variable is equal to a constant times another variable, with no additions or subtractions alongside).

Now by the above condition let the constant be "c".Then

f(x)=cx

also given that f(x)=-2 whenx=6

on substituting the above values,

-2=c(6)

c=-2/6

c=-1/3

Therefore our equation is f(x)=-x/3

You might be interested in
What ia the common ratio of the sequence? -2 , 6, -18, 54,...
Jlenok [28]
Its a multiplication by -3 on each term, so I think you're gonna answer is by r=-3, maybe?
7 0
3 years ago
Help please due now!
MissTica

Answer:

8

Step-by-step explanation:

3(2)-2(1-2) / 3-2

6-2(-1) / 1

6 + 2 / 1

8 / 1

= 8

6 0
3 years ago
After once again losing a football game to the college'ss arch rival, the alumni association conducted a survey to see if alumni
antoniya [11.8K]

Answer:

a) The 90% confidence interval would be given (0.561;0.719).

b) p_v =P(z>2.8)=1-P(z

c) Using the significance level assumed \alpha=0.01 we see that p_v so we have enough evidence at this significance level to reject the null hypothesis. And on this case makes sense the claim that the proportion is higher than 0.5 or 50%.    

Step-by-step explanation:

1) Data given and notation  

n=100 represent the random sample taken    

X=64 represent were in favor of firing the coach

\hat p=\frac{64}{100}=0.64 estimated proportion for were in favor of firing the coach

p_o=0.5 is the value that we want to test since the problem says majority    

\alpha represent the significance level (no given, but is assumed)    

z would represent the statistic (variable of interest)    

p_v represent the p value (variable of interest)    

p= population proportion of Americans for were in favor of firing the coach

Part a

The confidence interval would be given by this formula

\hat p \pm z_{\alpha/2} \sqrt{\frac{\hat p(1-\hat p)}{n}}

For the 90% confidence interval the value of \alpha=1-0.9=0.1 and \alpha/2=0.05, with that value we can find the quantile required for the interval in the normal standard distribution.

z_{\alpha/2}=1.64

And replacing into the confidence interval formula we got:

0.64 - 1.64 \sqrt{\frac{0.64(1-0.64)}{100}}=0.561

0.64 + 1.64 \sqrt{\frac{0.64(1-0.64)}{100}}=0.719

And the 90% confidence interval would be given (0.561;0.719).

Part b

We need to conduct a hypothesis in order to test the claim that the proportion exceeds 50%(Majority). :    

Null Hypothesis: p \leq 0.5  

Alternative Hypothesis: p >0.5  

We assume that the proportion follows a normal distribution.    

This is a one tail upper test for the proportion of  union membership.  

The One-Sample Proportion Test is "used to assess whether a population proportion \hat p is significantly (different,higher or less) from a hypothesized value p_o".  

Check for the assumptions that he sample must satisfy in order to apply the test  

a)The random sample needs to be representative: On this case the problem no mention about it but we can assume it.  

b) The sample needs to be large enough  

np_o =100*0.64=64>10  

n(1-p_o)=100*(1-0.64)=36>10  

Calculate the statistic    

The statistic is calculated with the following formula:  

z=\frac{\hat p -p_o}{\sqrt{\frac{p_o(1-p_o)}{n}}}  

On this case the value of p_o=0.5 is the value that we are testing and n = 100.  

z=\frac{0.64 -0.5}{\sqrt{\frac{0.5(1-0.5)}{100}}}=2.8

The p value for the test would be:  

p_v =P(z>2.8)=1-P(z

Part c

Using the significance level assumed \alpha=0.01 we see that p_v so we have enough evidence at this significance level to reject the null hypothesis. And on this case makes sense the claim that the proportion is higher than 0.5 or 50%.    

6 0
3 years ago
HELPPP!! I’ll mark brainliest!!
Sedaia [141]

Answer:

A

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Write the equation of the line perpendicular to the given line P(6,10) y= -3x+13
xxTIMURxx [149]

Answer: y=17x-137

Step-by-step explanation:

7 0
3 years ago
Other questions:
  • What is the distance around a triangle that has sides measuring 2 1/8, 3 1/2, and 2 1/2 feet?
    15·1 answer
  • HELP IMA GIVE BRAINLY AND A LIKE
    14·1 answer
  • A 6-foot pine tree was planted and grew 2 feet each year Write an algebraic expression for the height after y years?
    11·1 answer
  • Three toed sloths move slowly using as littile energy as Possible.They sleep,Eat,and evening give birth upside down.A baby sloth
    6·1 answer
  • Below is a proof showing that the sum of a rational number and an irrational number is an irrational number.
    10·2 answers
  • Identify the property that the statement illustrates
    12·1 answer
  • a baseball dropped from the roof of a tall building takes 3.1 seconds to hit the ground. how tall is the building?
    10·2 answers
  • A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by th
    12·1 answer
  • A triangle has sides with lengths of 6 inches, 13 inches, and 17 inches. Is it a right triangle?
    13·1 answer
  • Tom has a piece of wood that is 10 and 1/3 inches long. He divides the wood into pieces that are 2 and 1/5 inches long. How many
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!