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
Simora [160]
3 years ago
8

For the direct variation, find the constant of variation. Then find the value of y when x = −0.3.

Mathematics
1 answer:
Nimfa-mama [501]3 years ago
3 0

y = 0.05 when x = -0.3

Step-by-step explanation:

The direct variation between y and x is denoted as:

y∝x

when the proportionality symbol is removed, the constant of proportionality is introduced.

y = kx

Putting y=2 and x = -12

2 = -12k\\k = \frac{2}{-12}\\k =-\frac{1}{6}

So the equation will be:

y = -\frac{1}{6}x

Putting x = -0.3

y = -\frac{1}{6} *-0.3\\y =0.05

Hence,

y = 0.05 when x = -0.3

Keywords: Proportion, variation

Learn more about proportion at:

  • brainly.com/question/10666510
  • brainly.com/question/10699220

#LearnwithBrainly

You might be interested in
Let X equal the number of flips of a fair coin that are required to observe
Nataliya [291]

Answer:

(a) I attached a photo with the diagram.

(b) f(x) = \big( \frac{1}{2} \big)^{x-1}

(c) 1/4

(d) 4

(e) k^2/2

Step-by-step explanation:

(a) I attached a photo with the diagram.

(b) The easiest way to think about this part is in terms of combinatorics. Think about it like this.

To begin with, look at the three each level of the three represents a possible outcome of throwing the coin n-times. If you throw the coin 3 times at the end in total there are 8 possible outcomes. But The favorable outcomes are just 2.

 1  - Your first outcome is HEADS and all the others are different except the last one.

 2  - Your first outcome is TAILS and all the others are different except the last one.

Therefore the probability of the event is

f(x) = P(X=x) = \frac{2}{2^x}  = \frac{1}{2^{x-1}} = \big( \frac{1}{2} \big)^{x-1}

(c)

P(X = 0) = 0 because it is not possible to have two consecutive tails or heads.

E(X > 4) = 1 - P(X \leq 3) = 1 - ( P(X = 0 ) + P(X = 1) + P(X = 2) + P(X = 3))\\= 1 - ( \frac{1}{2} + \frac{1}{4} ) = \frac{1}{4}

(d)

Remember that this is a geometric distribution therefore

E[X] = p/(1-p), in this case  p = 1/2 so E[X] = 1 and

E[X+1]^2 = ( E[X] +1 )^2  = (1+1)^2 = 2^2 = 4

Also

(e)

This is a geometric distribution so its variance is

Var(X) = \frac{1-p}{p^2} = 1/2 / 1/4 = 1/2

And using properties of variance

Var(kX - k ) = Var(kX) = k^2 var(X) = k^2 /2

3 0
4 years ago
Sino pilipino dito? mga bwesit taó dito tang inà ​
valkas [14]

Answer:

ako

Step-by-step explanation:

kalma lang, di naman kelangan magmura...

6 0
3 years ago
Which expression results in a rational number?
Elodia [21]

Answer:

4

the fourth expression is a rational

8 0
3 years ago
Read 2 more answers
Altitudes AA1 and BB1 are drawn in acute △ABC. Prove that A1C·BC=B1C·AC
Sophie [7]

Answer:

See the attached figure which represents the problem.

As shown, AA₁ and BB₁ are the altitudes in acute △ABC.

△AA₁C is a right triangle at A₁

So, Cos x = adjacent/hypotenuse = A₁C/AC ⇒(1)

△BB₁C is a right triangle at B₁

So, Cos x = adjacent/hypotenuse = B₁C/BC ⇒(2)

From (1) and  (2)

∴  A₁C/AC = B₁C/BC

using scissors method

∴ A₁C · BC = B₁C · AC

7 0
3 years ago
The dimensions of the following matrix M are 2 x 3.<br><br><br><br> True<br> False
Lostsunrise [7]

Answer:

true, refer to picture for more understanding :)

3 0
3 years ago
Read 2 more answers
Other questions:
  • Solve the system of linear equations and show your work.<br> −8x+5y=26<br> 9x−3y=−3
    5·1 answer
  • Help with this please its easy, trust me!
    9·1 answer
  • Round to the nearest whole number70.59
    7·2 answers
  • If the mEF = 60° and the diameter of this circle is 16 inches, what is the arc length of EF?
    10·1 answer
  • Please help me with this question
    11·2 answers
  • FREE BRAINLIST NEED HELP ASAP
    5·1 answer
  • Find the amount of time. I=$70, P=$350, r=4%
    11·1 answer
  • What is 3 divided by 80
    9·1 answer
  • Which of this shape will tessellate?​
    12·1 answer
  • Lines of latitude on Earth are actually circles. The Tropic of Cancer is the northernmost line of latitude at which the Sun appe
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!