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3 years ago

The value of y varies directly with x. If x = 218, then y = 436. What is

Mathematics

1 answer:

adell [148]3 years ago

5 0

Answer:

Step-by-step explanation:

To find the value of the value of x when

y = 14 we must first find the relationship between them

The statement

The value of y varies directly with x is written as

$y \: \: \: \alpha \: \: \: kx$

where k is the constant of proportionality

when x = 218

y = 436

So we have

436 = 218k

Divide both sides by 218

k = 2

So the formula for the variation is

when y = 14

We have

14 = 2x

Divide both sides by 2

Hope this helps you.

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At The Morning Donut, 8 of the last 16 donuts sold had

Naddik [55]

Answer:

Half

50%

That's the answer

3 0

3 years ago

An exit poll in an election is a survey taken of voters just after they have voted. One major use of exit polls has been so that

3241004551 [841]

Answer:

P(A) = 0.39

Step-by-step explanation:

We are given;

P(W|A) = 0.7

P(W|A^c ) = 0.3

We are told that 60% of the respondents said they voted for A. Thus;

P(A|W) = 60% = 0.6

Now, using the principle of drawing lots, we can be able to find the probability of the event that they are willing to participate in the exit poll which is P(W).

Thus;

P(W) = [P(W|A) × P(A)] +[P(W∣A^c) × P(A^c)]

Now, P(A^c) can be expressed as 1 - P(A)

Thus, we now have;

P(W) = [P(W|A) × P(A)] + [P(W∣A^c) × (1 - P(A)]

Plugging in the relevant values gives;

P(W) = 0.7P(A) + 0.3(1 - P(A))

P(W) = 0.7P(A) + 0.3 - 0.3P(A)

P(W) = 0.3 + 0.4P(A)

Now,using Baye's theorem, we can find an expression for P(A|W)

Thus;

P(A|W) = [P(A ∩ W)]/P(W)

This can be further expressed as;

P(A|W) = [P(A) × P(W|A)]/P(W)

Plugging in relevant values, we have;

0.6 = 0.7P(A)/(0.3 + 0.4P(A))

Cross multiply to get;

0.6(0.3 + 0.4P(A)) = 0.7P(A)

0.18 + 0.24P(A) = 0.7P(A)

0.18 = 0.7P(A) - 0.24P(A)

0.46P(A) = 0.18

P(A) = 0.18/0.46

P(A) = 0.39

7 0

3 years ago

Solve for y 2x-3y=-9

labwork [276]

Answer:

y=3+2x/3

Step-by-step explanation:

− 3 y=− 9 − 2x

Divide each term by -3 and simplify.

7 0

3 years ago

ILL GIVE BRAINLIEST

Travka [436]

The answer is z=20 because 25-6 is 19 and rounded that is 20

6 0

3 years ago

Pleaseee helppp<br> (5x^2y^3)^2

Tamiku [17]

Answer:

25x⁴y⁶

Step-by-step explanation:

From what I understand your question looks like this

(5x²y³)²

To solve this just mulitply

5x²y³*5x²y³

$a^x*a^n=a^{x+n}$

25x⁴y⁶

5 0

3 years ago