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3 years ago

Eric walked 6 laps in 36 minutes. Sally walked 3 laps in 18 minutes. Determine if the given ratios are equivalent?

Mathematics

1 answer:

zhuklara [117]3 years ago

5 0

Step-by-step explanation:

6:36 = 6/36 = 1/6

3:18 = 3/18 = 1/6

therefore this ratios are equivalents...

hope this answer helps you dear...take care!

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You use 4 gallons of water on 30 plants in your garden. At that rate, how much water will it take to water 45 plants?

OverLord2011 [107]

Question that needs to be solved:You use 4 gallons of water on 30 plants in your garden. At that rate, how much water will it take to water 45 plants?=> 4 gallons is to 30 plants.=> 4 gallons / 30 plants = 0.13 gallons per plants.Now, it needs to water around 45 plants, let us solve how much will it need => 0.13 gallons * 45 plants = 6 gallonsThus, to water 45 plants you need to have 6 gallons of water

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3 years ago

Let x be the amount of time (in minutes) that a particular San Francisco commuter must wait for a BART train. Suppose that the d

larisa [96]

Answer:

a) $P(X$

$P(X>14) = 1-P(X$

b) $P(7< X$

c) We want to find a value c who satisfy this condition:

$P(x$

And using the cumulative distribution function we have this:

$P(x$

And solving for c we got:

$c = 20*0.9 = 18$

Step-by-step explanation:

For this case we define the random variable X as he amount of time (in minutes) that a particular San Francisco commuter must wait for a BART train, and we know that the distribution for X is given by:

$X \sim Unif (a=0, b =20)$

Part a

We want this probability:

$P(X$

And for this case we can use the cumulative distribution function given by:

$F(x) = \frac{x-a}{b-a} = \frac{x-0}{20-0}= \frac{x}{20}$

And using the cumulative distribution function we got:

$P(X$

For the probability $P(X>14)$ if we use the cumulative distribution function and the complement rule we got:

$P(X>14) = 1-P(X$

Part b

We want this probability:

$P(7< X$

And using the cdf we got:

$P(7< X$

Part c

We want to find a value c who satisfy this condition:

$P(x$

And using the cumulative distribution function we have this:

$P(x$

And solving for c we got:

$c = 20*0.9 = 18$

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3 years ago

Find the distance (-4,6) and (3,-7)

forsale [732]

Answer:

Distance ≈ 14.8

Step-by-step explanation:

Calculate the distance (d) using the distance formula

d = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = (- 4, 6) and (x₂, y₂ ) = (3, - 7)

Hope this helps!!!!

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3 years ago

What is the solution to the system of equations? y=2/3x+3 x = –2

aliya0001 [1]

Answer:

(-2, 5/3)

Step-by-step explanation:

Step 1: Write out systems of equations

y = 2/3x + 3

x = -2

Step 2: Substitution

y = 2/3(-2) + 3

y = -4/3 + 3

y = 5/3

Step 3: Write solution

(-2, 5/3)

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3 years ago

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3x^2 - 8x = x^2 + 42 Solve for x

san4es73 [151]

Answer:

x = 7 , − 3

Step-by-step explanation:

if this help you please give me a crown

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3 years ago

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