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
Dimas [21]
3 years ago
14

Solve for K, the constant of variation, in a joint variation problem where y=520, x=5, z=6.5. Solution is?

Mathematics
1 answer:
Luden [163]3 years ago
6 0

Answer:

K = 676

Step-by-step explanation:

When y is directly proportional to x and inversely poportional to z

We have

y = kx/z

When y =520

x = 5

z = 6.5

K =?

We have

520 = k x 5/6.5

Cross multiply

520 x 6.5 = 5k

3380 = 5k

Divide both sides by 5

3380/5 = 5k/5

676 = k

k = 676

You might be interested in
The manufacturer of the ColorSmart-5000 television set claims 95 percent of its sets last at least five years without needing a
patriot [66]

Answer:

Step-by-step explanation:

Hello!

Your study variable is X: "number of ColorSmart-5000 that didn't need repairs after 5 years of use, in a sample of 390"

X~Bi (n;ρ)

ρ: population proportion of ColorSmart-5000 that didn't need repairs after 5 years of use. ρ = 0.95

n= 390

x= 303

sample proportion ^ρ: x/n = 303/390 = 0.776 ≅ 0.78

Applying the Central Limit Theorem you approximate the distribution of the sample proportion to normal to obtain the statistic to use.

You are asked to estimate the population proportion of televisions that didn't require repairs with a confidence interval, the formula is:

^ρ±Z_{1-\alpha /2}* √[(^ρ(1-^ρ))/n]

Z_{1-\alpha /2} = Z_{0.995} = 2.58

0.78±2.58* √[(0.78(1-0.78))/390]

0.0541

[0.726;0.834]

With a confidence level of 99% you'd expect that the interval [0.726;0.834] contains the true value of the proportion of ColorSmart-5000 that didn't need repairs after 5 years of use.

I hope it helps!

7 0
3 years ago
Austin has $5 more than Mark. If Mark has Δ dollars, write an expression for the amount of money Austin has.
pickupchik [31]
 Let x be Mark's dollars... x + 5 = Austin's dollars....Brainliest?....
6 0
3 years ago
How to do this question -14=k-4
Furkat [3]

Answer: hope this helps .

Step-by-step explanation:

3 0
3 years ago
If the first chapter of a certain book is 40 pages long and makes up 20% of the book, how many pages does the entire book have?
Setler [38]

Answer:

200

Step-by-step explanation:

20% of a book = 40 pages

100% of a book = x pages

20/100 = 40/x                Cross multiply

20x = 100*40                 Combine the right

20x = 4000                    Divide by 20

20x/20 = 4000/20         Do the division

x = 200                           Answer

5 0
3 years ago
Barbara wants to buy some glittery heart-shaped beads to make friendship bracelets. The beads she wants come in a small pack wit
AleksAgata [21]

Answer:

I feel u

Step-by-step explanation:u need help too

5 0
3 years ago
Other questions:
  • What base side length does the rectangular prism need to have the same volume??????
    8·1 answer
  • P(x)=x^6-11x^5+30x^4 find the zeros
    14·1 answer
  • Is it possible for eight employees to earn between $300 and $350 while the ninth earns $1250 per week, and the mean to be $430?
    5·1 answer
  • Where do I drag the last two
    15·1 answer
  • What multiplication expression represents 7+7+7+7?
    14·2 answers
  • Simplify the expression 6[8+8](3+7)] ?
    15·2 answers
  • A packaging company is going to make open-topped boxes, with square bases, that hold 140 cubic centimeters. What are the dimensi
    15·1 answer
  • you make $10 an hour. you work 40 hours a week and 5 hours a week overtime. overtime is paid at time-and-a-half. how much will y
    13·1 answer
  • 5. Use the points (4, 10.5) and (8,5.7) to estimate the slope of the line of best fit. Answer choices: 0 83 0.83 -1.2 1.2 1 7​
    15·1 answer
  • This graph represents a linear relationship between x and y Which equation best represents the relationship shown in this graph
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!