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frutty [35]
3 years ago
5

LAST ONE! PLEASE HELP! WILL MARK BRAINLIEST!

Mathematics
1 answer:
garri49 [273]3 years ago
8 0

Answer:

Part A) the direct variation equation that relates x and y is:

y= -5x

Part B) value of y = 75

Step-by-step explanation:

Part A)

We are given that y varies directly with x, and y=10 when x=-2 what direct variation equation relates x and y?

If x and y are directly related then:

y ∝ x or y=kx

where k is constant of proportionality.

Now, finding k:

y=10 and x=-2

y=k\,\,x\\10=k*-2\\k=10/-2\\k=-5

So, value of k = -5

So, the direct variation equation that relates x and y is:

y= -5x

Part B)

What is the value of y when x = -15

the equation is:

y= -5x

Putting x = -15

y=-5x\\y=-5(-15)\\y=75

So, value of y = 75

Keywords: Direct Variation

Learn more about Direct Variation at:

  • brainly.com/question/10708697
  • brainly.com/question/2495851

#learnwithBrainly

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Evgen [1.6K]

Answer:

The answer to your question is 37.5

4 0
3 years ago
If electricity power failures occur according to a Poisson distribution with an average of 3 failures every twenty weeks, calcul
Wittaler [7]

Answer:

0.9898 = 98.98% probability that there will not be more than one failure during a particular week.

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

In which

x is the number of sucesses

e = 2.71828 is the Euler number

\mu is the mean in the given interval.

3 failures every twenty weeks

This means that for 1 week, \mu = \frac{3}{20} = 0.15

Calculate the probability that there will not be more than one failure during a particular week.

Probability of at most one failure, so:

P(X \leq 1) = P(X = 0) + P(X = 1)

Then

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

P(X = 0) = \frac{e^{-0.15}*0.15^{0}}{(0)!} = 0.8607

P(X = 1) = \frac{e^{-0.15}*0.15^{1}}{(1)!} = 0.1291

Then

P(X \leq 1) = P(X = 0) + P(X = 1) = 0.8607 + 0.1291 = 0.9898

0.9898 = 98.98% probability that there will not be more than one failure during a particular week.

6 0
2 years ago
A ferris wheel is 10 meters in diameter and boarded from a platform that is 5 meters above the ground. The six o'clock position
Murrr4er [49]

Answer:

The equation is:

f (t) = 4 + 5 (1 - cos (2pi t / 2))

Step-by-step explanation:

with the previous exercise we look for the equation for h = f (t)

So the data we have are

Wheel diameter = 10m (wheel radius = 5m)

1 wheel gets 1 revolution in 2 minutes.

the beginning of a entry will be related to that f (0) = 4

our wish is that f (z) get at least 4 with an amplitude of 5 (this value determines the radius of the wheel) for 2 minutes

with this the particle f (t) is transformed into

f (t) = 4 + 5 (1 - cos (2pi t / 2))

We know that the maximum value of cos in t will be 0, 1 -cos has minutes, the result will be as follows:

f (t) = 4 + 5 (1 - cos (2pi t / 2))

5 0
2 years ago
5. A line has a slope of (-3/2) and a y-intercept of (-4). Write the equation of the line.
KATRIN_1 [288]

Answer:

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6 0
3 years ago
Erin and dan went shopping at their local store. Erin bought shirts that cost $12 each and spent $18 on accessories. Dan bought
andrezito [222]

Answer:

2

Step-by-step explanation:

I  think below is your full question:

<em>Erin and Dan went shopping at their local store. Erin bought shirts that cost $12 each and spent $18 on accessories. Dan bought the same number of shirts as Erin for $16 each and spent $10 on accessories. </em>

<em>If Erin and Dan were billed the same amount by the store, how many shirts did each of them buy?</em>

Here is my answer

Let  x is number of shirts

Person             COST              

ERIN                12x+18

DAN                 16x+10

Equally Billed    12x+18=16x+10 <=> x = 2

so each of them buy 2 shirts

7 0
3 years ago
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