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
Brums [2.3K]
2 years ago
15

What is the constant of proportionality for the table? What does it represent? Reminder: k= y/x

Mathematics
1 answer:
zhannawk [14.2K]2 years ago
3 0

Answer:

The constant of proportionality is 5. It represents the cups of yellow paint needed for 1 cup of blue paint.

You might be interested in
The square ABCD has side length 20 cm,
bogdanovich [222]

Answer:

AE=22.4

Step-by-step explanation:

BE is 1/2 of BC

BC is 20 cm                 All sides of a square are equal

BE = 1/2 BC                  Property of a midpoint.

BE = 10

Now just use Pythagorus

AB^2 + BE^2 = AE^2

AE^2 = 20^2 + 10^2   Perform the sqrs

AE^2 = 400 + 100      Add the terms

AE^2 = 500                Take the square root of both sides

√AE^2 = √500

AE = 22.36

AE ≈ 22.4

6 0
2 years ago
Your state is considering raising the legal age for consumption of alcoholic beverages to 21 years old. How large a sample size
julsineya [31]

Answer:

n=\frac{0.5(1-0.5)}{(\frac{0.01}{2.58})^2}=16641  

And rounded up we have that n=16641

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".  

The margin of error is the range of values below and above the sample statistic in a confidence interval.  

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".  

The population proportion have the following distribution

p \sim N(p,\sqrt{\frac{p(1-p)}{n}})

Solution to the problem

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 99% of confidence, our significance level would be given by \alpha=1-0.99=0.01 and \alpha/2 =0.005. And the critical value would be given by:

z_{\alpha/2}=-2.58, t_{1-\alpha/2}=2.58

The margin of error for the proportion interval is given by this formula:  

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

And on this case we have that ME =\pm 0.01 and we are interested in order to find the value of n, if we solve n from equation (a) we got:  

n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}   (b)  

For this case we can use as estimator for the proportion \hat p =0.5, since we don't have any other previous info. And replacing into equation (b) the values from part a we got:

n=\frac{0.5(1-0.5)}{(\frac{0.01}{2.58})^2}=16641  

And rounded up we have that n=16641

8 0
3 years ago
Find the volume: A cone with a diameter of 16cm and a height of 16cm.
soldier1979 [14.2K]
<h2><em>The formula for a cone is in the attachment below. Substitute Pie for 3.14.</em></h2><h2><em>3.14 x 8 x 8 x 16/3 = 1071.78667. You can round this up and you get 1072.33.</em></h2><h2><em></em></h2><h2><em>Final Answer: 1072.33cm^3</em></h2><h2><em>Hope this helps and have a nice day! o/</em></h2>

6 0
3 years ago
Benny bought nine new baseball trading cards to add to his collection. The next day his dog ate half of his collection. There ar
hjlf

9+x

divided by

2

-

35

x=61

3 0
2 years ago
Read 2 more answers
x bought a cow for 42000 and was given a discount of 16 percent how much money would have been the discount had she bought the c
Alborosie

Answer:8% discount will be given

Step-by-step explanation:

3 0
3 years ago
Other questions:
  • Write an inequality to compare -21 and -13. which temperature is warmer?
    11·1 answer
  • Is ((1,4)(3,2)(8,9)(7,6)(3,4) a function
    5·2 answers
  • What is the relationship between percents and decimals
    11·1 answer
  • Find the distance between the two points.<br> 8. (-1,0), (-8, 4)
    5·1 answer
  • What is y= -1/3- 9 written in standard form?
    8·1 answer
  • What is the radius of this can?
    15·1 answer
  • HELP WITH MY MATH PLEASEEE
    6·2 answers
  • GETS BRAINLIEST AND 100 POINTS!!!!!<br> FIND THE INTERVAL OF THE CONVERGENCE
    11·1 answer
  • Some one help ASAP please
    13·2 answers
  • 15. Keisha draws a sketch of her living room on grid paper.
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!