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
vovangra [49]
3 years ago
6

X varies inversely with y and x = 8 when y = 10, what is the value of y when x=6

Mathematics
1 answer:
Alja [10]3 years ago
3 0
The right answer for the question that is being asked and shown above is that:

x = k (1/y)
k = xy

x1y1 = x2y2
8*10 = 6y2
80 = 6y2
y2 = 40/3

So the answer is 40/3
<span>X varies inversely with y and x = 8 when y = 10, what is the value of y when x=6</span>
You might be interested in
Lashonda is saving money to buy a game. So far she has saved $6, which is two-thirds of the total cost of the game. How much doe
aliina [53]

Answer:

The game costs $9

Step-by-step explanation:

I wrote an equation using the variable "t" for the total cost of the game.

6=2/3t

t=6/2/3

t=(6/1)(3/2)

t=18/2

t=9

4 0
2 years ago
Let x denote the lifetime of a mcchine component with an exponential distribution. The mean time for the component failure is 25
aliina [53]

Answer:

0.1353 = 13.53% probability that the lifetime exceeds the mean time by more than 1 standard deviations

Step-by-step explanation:

Exponential distribution:

The exponential probability distribution, with mean m, is described by the following equation:

f(x) = \mu e^{-\mu x}

In which \mu = \frac{1}{m} is the decay parameter.

The probability that x is lower or equal to a is given by:

P(X \leq x) = \int\limits^a_0 {f(x)} \, dx

Which has the following solution:

P(X \leq x) = 1 - e^{-\mu x}

The probability of finding a value higher than x is:

P(X > x) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-\mu x}

The mean time for the component failure is 2500 hours.

This means that m = \frac{2500}, \mu = \frac{1}{2500} = 0.0004

What is the probability that the lifetime exceeds the mean time by more than 1 standard deviations?

The standard deviation of the exponential distribution is the same as the mean, so this is P(X > 5000).

P(X > x) = e^{-0.0004*5000} = 0.1353

0.1353 = 13.53% probability that the lifetime exceeds the mean time by more than 1 standard deviations

4 0
2 years ago
Consider a credit card with a balance of $7000 and an APR of 16.5 %. If you want to make monthly payments in order to pay off th
shtirl [24]

9514 1404 393

Answer:

  $7641.24

Step-by-step explanation:

The amortization formula tells the payment amount.

  A = P(r/n)/(1 -(1 +r/n)^(-nt))

where principal P is paid off in t years with n payments per year at interest rat r.

Using the given values, we find ...

  A = $7000(0.165/12)/(1 -(1 +0.165/12)^-12) = $7000×0.01375/(1 -1.01375^-12)

  A = $636.77

The total of 12 such payments is ...

  $636.77 × 12 = $7641.24

You will pay a total of about $7641.24.

_____

<em>Additional comment</em>

Since the payment amount is rounded down, the actual payoff will be slightly more. Usually, the lender will round interest and principal to the nearest cent on each monthly statement. The final payment will likely be a few cents more than the monthly payment shown here.

7 0
2 years ago
I need help on this one I have the image attached
mart [117]

Answer:

x = 40

Step-by-step explanation:

The ADF is 90 degrees so the CAF will also be 90

So you do

( x + 15 ) + 90 + 35 = 180

x + 15 + 90 + 35 - 90 = 180 -90

x + 15 + 35 = 90

x + 15 + 35 - 35 = 90 - 35

x + 15 = 55

x + 15 - 15 = 55 - 15

x = 40

4 0
3 years ago
Q - 8 as a verbal expression
sertanlavr [38]

Answer:

Step-by-step explanation:

An unknown number minus 8.

8 0
3 years ago
Other questions:
  • Which statement best describes the relationship between Tessa and Varick in the narrative? Question 1 options: Tessa tries to to
    6·2 answers
  • Graph the line.<br> y - 2 = -3(x + 3)
    11·1 answer
  • A $20,000 car decreases in value by 15% each year how much is the car worth after three years
    15·2 answers
  • Ciana worked 5 hours on Saturday and
    8·1 answer
  • What is the slope of a line perpendicular to the line x/2 − y/3 =1?
    6·1 answer
  • So Latly nobody has been Straight answering my question so maybe you can
    6·2 answers
  • Hi i love you! &lt;3<br> So does God and everyone else
    10·1 answer
  • Find the value of x.<br><br> No links please!
    11·1 answer
  • What do I do with this...?
    13·1 answer
  • Can the numbers 12,6 , 6 be used to form the sides of a triangle
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!