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
serious [3.7K]
3 years ago
7

The amount of resistance, y, in a circuit varies inversely to the current, x, in the circuit. When 10 ohms of resistance are use

d in the circuit, 12 amperes of current are present. When 5 ohms of resistance are used in the same circuit, 24 amperes of current are present. How many ohms of resistance are used in the circuit when 15 amperes of current are present? Round your answer to the nearest hundredth, if necessary. ohms
Mathematics
1 answer:
saveliy_v [14]3 years ago
5 0
Let k be a constant of proportionality. We can use the given information to write two equations:
24 = k/5 and 12 = k/10.
Solving for k gives k = 120 in both cases.
Let R be the unknown resistance when the current is 15 amperes:
15 = 120/R.
R = 120/15
R = 8 ohms.
You might be interested in
HELP ME IN CIVICS 80 POINTS Which of the following conclusions can be supported by the information in this chart?
marishachu [46]
Participation in elections increases as education level increases across all age groups. Education level was a significant factor in the outcome of the 2008 election. Decreasing the drop-out rate among high school students will positively affect voting rates. Increasing access to higher education will decrease citizens' participation in government.
7 0
3 years ago
Find the x intercept and the y intercept of the graph of the equation <br> 2x+4y=8
maksim [4K]

Answer:

x-intercept: 4

y-intercept: 2

Step-by-step explanation:

finding the x-intercept:

first, substitute y = 0.

2x + 4 x 0 = 8

then, remove the 0.

2x + 0 = 8

then, divide both sides. 2x = 8

so, x = 4.

finding the y-intercept:

first, substitute x = 0.

then, solve.

2 x 0 + 4y = 8

so, y = 2.

3 0
3 years ago
Sarah says that 19 divided by. 9 equals 9 divided by 4 because both are 2r1 show here mistake using decimal division. How do I f
IgorLugansk [536]
9*4=36 and 19/9 isn’t the same
5 0
2 years ago
A national survey conducted in 2011 among a simple random sample of 1,507 adults shows that 56% of Americans think the Civil War
Drupady [299]

Answer:

a)z=4.658

p_v =P(z>4.65)=1-P(z  

b) Using the significance level assumed \alpha=0.05 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 of Americans who thinks that the Civil War is still relevant to American politics and political life is  higher than 50%.

c) The 90% confidence interval would be given (0.527;0.593).

We are confident that about 54% to 59% of all Americans think the Civil War is relevant.

Step-by-step explanation:

I )Part a

1) Data given and notation

n=1507 represent the random sample taken  

X represent the Americans who thinks that the Civil War is still relevant to American politics and political life

\hat p estimated proportion of Americans who thinks that the Civil War is still relevant to American politics and political life in the sample

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

\alpha=0.05 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 who thinks that the Civil War is still relevant to American politics and political life

2) Concepts and formulas to use  

We need to conduct a hypothesis in order to test the claim that the proportion of Americans who thinks that the Civil War is still relevant to American politics and political life 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 =1507*0.5=753.5>10

n(1-p_o)=1507*(1-0.5)=753.5>10

3) 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 = 1507.

z=\frac{0.56 -0.5}{\sqrt{\frac{0.5(1-0.5)}{1507}}}=4.658

The p value for the test would be:

p_v =P(z>4.65)=1-P(z  

II) Part b

It's important to refresh the p value method or p value approach . "This method is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.  

Based on the alternative hypothesis the p value would be given by:

p_v =P(z>4.65)=1-P(z  

Using the significance level assumed \alpha=0.05 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 of Americans who thinks that the Civil War is still relevant to American politics and political life is  higher than 50%.

III) Part c

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}=2.58

And replacing into the confidence interval formula we got:

0.56 - 2.58 \sqrt{\frac{0.56(1-0.56)}{1507}}=0.527

0.56 + 2.58 \sqrt{\frac{0.56(1-0.56)}{1507}}=0.593

And the 90% confidence interval would be given (0.527;0.593).

We are confident that about 54% to 59% of all Americans think the Civil War is relevant.

And this result agrees with the result of part b, since the interval not contains the value of 0.5 we can conclude that the proportion of Americans who thinks that the Civil War is still relevant to American politics and political life it's higher than 0.5 at 90% of confidence.

7 0
2 years ago
How is multiplying two<br> fractions similar to multiplying fractions and whole numbers?
Lunna [17]

Answer: They are similar in that when you multiply 2 fractions, you merely multiply the numerators together and the denominators together  they are different in that a division still remains once the multiplication is completed.

Step-by-step explanation: ^

4 0
3 years ago
Other questions:
  • Liliana can type a 600 word essay in just 8 minutes. how long will it take to type a 2100 word essay
    9·1 answer
  • Bridget reads 5 pages of her book per day 4 days per week for several weeks.
    8·2 answers
  • The total of monthly payments for a three-year loan is $22,317.12. The APR is 4%. How much money was originally borrowed?
    9·1 answer
  • What is the value???​
    6·2 answers
  • ___________% of 60=15
    11·2 answers
  • If &lt;3 measures 123°, what is the measure of &lt;7?
    10·1 answer
  • Find the value of x
    14·2 answers
  • Midpoints <br> H is the midpoint of iJ, and IH, = 0.75. What is the value of HJ?
    11·1 answer
  • The value of y varies directly with x. When y = 0.3, x = 1 . What is the value of y when x is 35? 5 A 52.5 B 1.5 C 10 D 15
    5·1 answer
  • Which is the best approximation for the solution of the system of equations? y = a system of equations. y equals negative startf
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!