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MrMuchimi
3 years ago
5

I need help with this​

Mathematics
1 answer:
azamat3 years ago
4 0

Answer:

Let the amount of Danny be y

Therefore, lance will have 1/3y

Total fraction of cup is 1/1

y+y/3=1

4y/3=1

4y=3

y=3/4

therefore, lance had 3/4 of the cup of water

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3 years ago
A random number is selected from the interval [6.35, 10]. Find the probability that the number is within a distance of 0.25 from
exis [7]

Let <em>X</em> be a random number selected from the interval. Then the probability density for the random variable <em>X</em> is

f_X(x)=\begin{cases}\dfrac1{10-6.35}=\dfrac1{3.65}\approx0.2740&\text{if }6.35\le x\le 10\\0&\text{otherwise}\end{cases}

8 and 10 are the only even integers that fit the given criterion (6 is more than 0.25 away from 6.35), so that we're looking to compute

P(|<em>X</em> - 8| < 0.25) + P(|<em>X</em> - 10| < 0.25)

… = P(7.75 < <em>X</em> < 8.25) + P(9.75 < <em>X</em> < 10.25)

… = P(7.75 < <em>X</em> < 8.25) + P(9.75 < <em>X</em> < 10)

(since P(<em>X</em> > 10) = 0)

… = 0.2740 (8.25 - 7.75) + 0.2740 (10 - 9.75)

… = 0.2055

6 0
3 years ago
Find the x and y intercepts of 4y = x 9
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Karo-lina-s [1.5K]

Answer:

For any proportional relationship, k=yx (such as a line that passes through the origin). Find the equation of the line by solving for y in the constant of proportionality equation. This equation y=kx is another representation of a proportional relationship.

Step-by-step explanation:

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3 years ago
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