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3 years ago

For the line y=2/5x if the y-coordinate is 20 what is the x-coordinate

Mathematics

1 answer:

Nitella [24]3 years ago

6 0

Y=2/5x
20=2/5x
50=x
50*2/5=20

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Andy has a collection of movie DVD's. In Andy's collection 3/5 of the DVD's are action and 1/4 of the DVD's are comedy . Andy sa

valkas [14]

Andy is wrong.
3/5 = 12/20
1/4 = 5/20
Add them up
12/20 + 5/20 = 17/20
17/20 is not equal to 4/9

8 0

3 years ago

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A commuter must pass through 5 traffic lights on her way to work and will have to stop at each one that is red. She estimates th

sergij07 [2.7K]

Answer:

(a) The mean or expected value of X is 2.2.

(b) The standard deviation of X is 1.3.

Step-by-step explanation:

Let X = number of times the traffic light is red when a commuter passes through the traffic lights.

The probability distribution of X id provided.

The formula to compute the mean or expected value of X is:

$\mu=E(X)=\sum x.P(X=x)$

The formula to compute the standard deviation of X is:

$\sigma=\sqrt{E(X^{2})-(E(X))^{2}}$

The formula of E (X²) is:

$E(X^{2})=\sum x^{2}.P(X=x)$

(a)

Compute the expected value of X as follows:

$E(X)=\sum x.P(X=x)\\=(0\times0.06)+(1\times0.25)+(2\times0.35)+(3\times0.15)+(4\times0.13)+(5\times0.06)\\=2.22\\\approx2.2$

Thus, the mean or expected value of X is 2.2.

(b)

Compute the value of E (X²) as follows:

$E(X^{2})=\sum x^{2}.P(X=x)\\=(0^{2}\times0.06)+(1^{2}\times0.25)+(2^{2}\times0.35)+(3^{2}\times0.15)+(4^{2}\times0.13)+(5^{2}\times0.06)\\=6.58$

Compute the standard deviation of X as follows:

$\sigma=\sqrt{E(X^{2})-(E(X))^{2}}\\=\sqrt{6.58-(2.22)^{2}}\\=\sqrt{1.6516}\\=1.285\\\approx1.3$

Thus, the standard deviation of X is 1.3.

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3 years ago

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What is the recursive rule for this geometric sequence?

Alekssandra [29.7K]

Answer:

Step-by-step explanation:

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3 years ago

X +5+11x=12x+Y It says find the value of y that makes each equation true for all values of

sladkih [1.3K]

X + 5 + 11x = 12x + y

Simplify: 12x + 5 = 12x + y (We are adding x and 11x on the left side)

Subtract 12x from each side makes each zero.

5 = y

So we can plug in and test. I'm picking two random numbers to plug in for x. 10, and 82

x = 10, y = 5
10 + 5 + 11(10) = 12(10) + 5
125 = 125

x = 82, y = 5
82 + 5 + 11(82) = 12(82) + 5
989 = 989

So we verified y = 5

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3 years ago

Mark works at the mall 3 hours on Friday and 5 hours on Saturday. He gets a

zvonat [6]

Answer:

$7.50

Step-by-step explanation:

3 hours + 5 hours = 8 hours

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8 hours = $60 (money earned from work)

1 hour = $60 ÷ 8 (hours he worked)

1 hour = $7.50

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3 years ago